passpadi
1

2x = 56 what is x

A.

13

B.

18

C.

15

D.

12

View Answer

67ca00ce0c643c71d77dee1f 2023
2

The first 5 students to arrive in a class on a morning where 3 girls and 2 boys. Of these, two were chosen at random for a task. Find the probability that the two were of different sexes

A.

12/25

B.

1/2

C.

3/5

D.

3/25

View Answer

POST UTME 2023
3

The probabilities that three girls pass an examination are 2/3, 5/8 and ¾ respectively. Find the probability that only two of the girls pass

A.

21/52

B.

43/96

C.

15/96

D.

none

View Answer

POST UTME 2023
4

It takes 8 students two-thirds of an hour to fill 12 thanks with water. How many tanks of water will 4 students fill in one-third of an hour at the same rate?

A.

12

B.

11

C.

7

D.

3

View Answer

POST UTME 2023
5

In a bag of oranges, the ratio of the good ones to the bad ones is 5: 4. If the number of bad oranges in the bag is 36, how many oranges are there altogether?

A.

45

B.

54

C.

72

D.

81

View Answer

POST UTME 2023
6

The houses on one side of a particular street are assigned odd numbers starting from 11. If the sum of the numbers is 551, how many houses are there?

A.

29

B.

22

C.

18

D.

19

View Answer

POST UTME 2023
7

 Find the nth term of the sequence 5, 10, 20, 40, 80 ...


A.

5 x 2^n+1

B.

2 x 5^n-1

C.

5 x 2^n-1

D.

5 x 5^n-1

View Answer

POST UTME 2023
8

 Out of the 400 students in the final year in a certain school, 300 are offering Biology, and 190 are offering chemistry. How many students are offering both Biology and Chemistry, if only 70 students are offering neither Biology nor Chemistry?

A.

160

B.

330

C.

30

D.

70

View Answer

POST UTME 2023
9

simplify  (34÷13)×413÷314(\frac{3}{4} \div \frac{1}{3}) \times 4\frac{1}{3} \div 3\frac{1}{4}

A.

3

B.

13/12

C.

10/9

D.

17/12

View Answer

POST UTME 2023
10

simplify 1x+1yx+y\frac {\frac{1}{x} + \frac{1}{y}} {x + y}

A.

1/x + y

B.

1/xy

C.

x + y

D.

xy

View Answer

POST UTME 2023
11

Calculate the surface area of a hollow cylinder which is closed at one end. If the base radius is 3.5 cm and the height 8 cm (π\pi =22/7= 22/7 )

A.

126.5 cm2

B.

165 cm2

C.

176 cm2

D.

214.5 cm2

View Answer

POST UTME 2023
12

Which of the following is not a measure of dispersion?

A.

Mode

B.

mean deviation

C.

Range

D.

Standard deviation

View Answer

POST UTME 2023
13

Find the coordinates of the two points on the curve

at 2x3x3y+y2=62^x - 3x - 3y + y^2 = 6 which the gradient is -1

A.

(4, 2)

B.

(2, 4)

C.

(2, 3)

D.

(3, 2)

View Answer

POST UTME 2023
14

Find the determinant of the matrix

(211013211)\begin{pmatrix} 2 & 1 & -1 \\ 0 & 1 & 3 \\ 2 & -1 & 1 \end{pmatrix}

A.

8

B.

6

C.

16

D.

10

View Answer

POST UTME 2023
15

Simplify 2tan60°+cos30°sin60°\frac { 2 tan 60° + cos 30°}{sin 60°}


A.

2

B.

√3

C.

5

D.

√3/2

View Answer

POST UTME 2023
16

If cos(x+25)°=sin45°cos (x + 25)° = sin 45° , find the value of xx

A.

10°

B.

20°

C.

30°

D.

40°

View Answer

POST UTME 2023
17

Find the value of a if 92a+1=81a23a9^{2a+1} = \frac {81^{a-2}}{3^a}


A.

10

B.

-10

C.

8

D.

-8

View Answer

POST UTME 2023
18

The product of a matrix and its inverse is a/an - matrix

A.

Singular

B.

Identity

C.

Null

D.

Square

View Answer

POST UTME 2021
19

What is the area of the curve y = 4x - 22 + 10 between x=0x = 0 and x=5x = 5 on the horizontal axis ?


A.

58.3

B.

10

C.

5

D.

55

View Answer

POST UTME 2021
20

integrate 3x2x2x3x(x+3)\frac {3x - 2x^2 - x^3} {x(x + 3)}

A.

6-8x-3x^2/3(x^2 + 12x)

B.

x^2/2 - x + c

C.

6-8x-3x^2/12(x^2 + 3x)

D.

x - x^2/2 + c

View Answer

POST UTME 2021
21

What is the volume of a sphere in m3m^3 with radius 22.2cmcm ? (Take π=22/7\pi = 22/7 ).

A.

45.85m3

B.

0.04585m3

C.

0.45m3

D.

4.585m3

View Answer

POST UTME 2021
22

The total surface area of a sphere is 36m. If its radius is changed so that the area increases by 58%, what is the new radius of the sphere (π\pi =3.142= 3.142 ).

A.

4m

B.

23m

C.

2.13m

D.

0.25m

View Answer

POST UTME 2021
23

How many complete spheres of volume 4.2cm34.2cm^3 can fill a sphere of radius 4cm4cm ? (π=3.142\pi = 3.142 ).

A.

50

B.

65

C.

63

D.

7

View Answer

POST UTME 2021
24

A man standing on top of a 15m high cliff looks at a worker some distance from the bottom of the cliff. If the distance between the man and the worker is 35m, what is the distance between the worker and the foot of the building?

A.

10√8 m

B.

10√10 m

C.

10√2 m

D.

10√5 m

View Answer

POST UTME 2021
25

The gradient of a straight line graph is 7. Find the angle the line makes with the y-axis.

A.

3.80°

B.

81.7°

C.

8.3°

D.

45°

View Answer

POST UTME 2021
26

What is the equation of the line parallel to y=32x+8y = \frac {3}{2}x + 8 and passes through (2,7)(-2, 7)

A.

2y = 3x + 20

B.

3y = 3x - 8

C.

2y = 2x + 8

D.

3y = 3x + 7

View Answer

POST UTME 2021
27

If 2n+m=16and4nm=132,2^{n + m} = 16 and 4^{n - m} = \frac {1}{32} ,find the values of n and m respectively.

A.

13/4 and 3/4

B.

3/4 and 13/4

C.

3/4 and 1/4

D.

1/4 and 3/4

View Answer

POST UTME 2021
28

solve the inequality:

25(y2)16(y+5)0\frac{2}{5}(y-2)- \frac {1}{6}(y+5) ≤ 0

A.

y ≥ 7

B.

y ≤ 7

C.

y < 2

D.

y≥ 7

View Answer

POST UTME 2021
29

Given: A = {2,4,6,8}, B = {2,3,7,9}, C = {x:3 <x<9} are subsets of the universal set U = {2,3,4,5,6,7,8,9}, find An(B'nC')

A.

{2,4,6,8}

B.

{}

C.

{2,3,7,9}

D.

{2,3}

View Answer

POST UTME 2021
30

Find the number of ways in which the letters of the word UNILAG can be arranged

A.

60 ways

B.

80 ways

C.

120 ways

D.

720 ways

View Answer

POST UTME 2021
31

The present ages of a father and his daughter are in the ratio 10:3. If the daughter is 15 years old now, in how many years will the ratio of their ages be 2:12:1 ?

A.

10 years

B.

20 years

C.

30 years

D.

40 years

View Answer

POST UTME 2021
32

18. What is the square root of 0.0081?

A.

0.09

B.

0.9

C.

091

D.

0.009

View Answer

POST UTME 2021
33

All natural numbers and 0 are called ___________

A.

whole

B.

prime

C.

integer

D.

rational

View Answer

POST UTME 2021
34

A bag contains 10 black and 5 white balls. Two balls are drawn from the bag one after the other without replacement. What is the probability that both balls are black?

A.

3/7

B.

7/3

C.

1/3

D.

1/3

View Answer

POST UTME 2021
35

If 8% of x = 4% of y, then 20% of x is

A.

10% of y

B.

16% of y

C.

40% of y

D.

80% of y

View Answer

POST UTME 2021
36

A box has 100 blue balls, 50 red balls, 50 black balls, 25% of blue balls and 50% of red balls are taken away.The percentage of black balls at present is

A.

50%

B.

25%

C.

33 ⅓ %

D.

40%

View Answer

POST UTME 2021
37

In the given AP series, the term at position 11 would be? 5,8,11,14,17,20...50


A.

67

B.

25

C.

45

D.

35

View Answer

POST UTME 2021
38

If the first term and common difference of an arithmetic sequence are respectively 30 and - 1.5, then the 25u terse will be

A.

-6

B.

-8

C.

4

D.

-10

View Answer

POST UTME 2021
39

Find the sum of the terms of the infinite geometric progression: 13,19,127\frac {1}{3}, \frac {1}{9}, \frac {1}{27}

A.

3/8

B.

3/6

C.

½

D.

¼

View Answer

POST UTME 2021
40

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed

A.

210

B.

1050

C.

25200

D.

21400

View Answer

POST UTME 2021
41

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

A.

159

B.

194

C.

205

D.

209

View Answer

POST UTME 2021
42

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A.

266

B.

5040

C.

11760

D.

86400

View Answer

POST UTME 2021
43

A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bad, if at least one black ball is to be included in the draw?

A.

32

B.

48

C.

64

D.

96

View Answer

POST UTME 2021
44

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

A.

10080

B.

4989600

C.

120960

D.

15482

View Answer

POST UTME 2021
45

What is the standard deviation of the given set of values: 3,5,1,8,18?

A.

5

B.

6

C.

7

D.

8

View Answer

POST UTME 2021
46

Convert 109 from decimal number system to binary number system

A.

1101111

B.

1111101

C.

1101101

D.

1110111

View Answer

POST UTME 2021
47

The decimal number (127.25)10(127.25)_{10} , when converted to Binary number, takes the form

A.

111111.01

B.

111111.01

C.

1111.11

D.

11111.11

View Answer

POST UTME 2021
48

If x is the addition of prime numbers between 1 and 6,and y the H.C.F of 6, 9, 15. Find the product of x and y.

A.

27

B.

30

C.

33

D.

40

View Answer

POST UTME 2019
49

A 5.0g of salt was weighed by Tunde as 5.1g. What is the percentage error

A.

20

B.

2

C.

1

D.

0.2

View Answer

POST UTME 2019
50

Simplify 1122÷14of32\frac{1^\frac {1}{2}} {2 ÷ \frac {1}{4} of 32}

A.

3/256

B.

3/32

C.

6

D.

85

View Answer

POST UTME 2019
51

Find correct to one decimal place, 0.24633 ± 0.0306.

A.

0.8

B.

1.8

C.

8.0

D.

8.1

View Answer

POST UTME 2019
52

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later, Kehinde sells 23\frac{2}{3} of her share to Taiwo for ₦720.00, find the value of the store.

A.

₦1,080.00

B.

₦2,400.00

C.

₦3,000.00

D.

₦3,600.00

View Answer

POST UTME 2019
53

A basket contains green, black and blue balls in the ratio 5:2:1. If there are 10 blue balls, find the corresponding new ratio when 10 green and 10 black balls are removed from the basket.


A.

1:1:1

B.

4:2:1

C.

5:1:1

D.

4:1:1

View Answer

POST UTME 2019
54

A taxpayer is allowed 18\frac{1}{8}​th of his income tax-free and pays 20% on the remainder. If he pays ₦490.00 tax, what is his income?

A.

₦560.00

B.

₦2450.00

C.

₦2800.00

D.

₦3920.00

View Answer

POST UTME 2019
55

If log102=0.3010\log_{10}2 = 0.3010 and log103=0.4771\log_{10}3 = 0.4771 , evaluate without using logarithm tables, log104.5\log_{10}4.5


A.

0.3010

B.

0.4771

C.

0.6532

D.

0.9542

View Answer

POST UTME 2019
56

The thickness of an 800 page book is 18 metres. Calculate the thickness of one leaf of the book given your answers in metres and in surd form.

A.

2.25x 1o^-4m

B.

4.50x10^-4m

C.

2.25x10^-5m

D.

4.50x10^-5m

View Answer

POST UTME 2019
57

Simplifyx+2x+1x2x+2 \frac{x+2}{x+1}-\frac{x-2}{x+2}

A.

3/(x+1)

B.

3x+2/(x+1)(x+2)

C.

5x+6/(x+1)(x+2)

D.

3x^2+5x+2/(x+1)(x+2)

View Answer

POST UTME 2019
58

if 1p\frac{1}{p} = a2+2ab+b2ab\frac{a^2+2ab+b^2}{a-b} and 1p\frac{1}{p} =a+ba22ab+b2\frac{a+b}{a^2-2ab+b^2}.Find pq\frac{p}{q}

A.

a+b/a-b

B.

1/a^2-b^2

C.

a-b/a+b

D.

a-b

View Answer

POST UTME 2019
59

If 1P1223=98101P122_3 = 98_{10} , where P is a digit, find the value of P

A.

3

B.

2

C.

1

D.

0

View Answer

POST UTME 2015
60

Convert 10110two10110_{two} to a number in base ten

A.

21

B.

22

C.

23

D.

24

View Answer

POST UTME 2015
61

Express 462.3067 correct to 3 decimal places


A.

500.000

B.

462.310

C.

462.000

D.

462.307

View Answer

POST UTME 2015
62

If x=45,000x = ₦45,000 , what is the sum of xx and qq  3% of xx ?

A.

N58,500

B.

N46,350

C.

N45,135

D.

N45,014

View Answer

POST UTME 2015
63

How many ways can the office of the vice chancellor be occupied by 5 candidates

A.

720 ways

B.

120 ways

C.

24 ways

D.

5 ways

View Answer

POST UTME 2020
64

In a toss of 2 dice, what is the probability of obtaining a total of 7 or 8

A.

11/36

B.

6/36

C.

5/36

D.

12/35

View Answer

POST UTME 2020
65

Dayo was 3 years older than Mary. 5 years ago, Dayo was twice as old as Mary respectively?

A.

11 years and 3 years

B.

11 years and 8 years

C.

3 years and 11 years

D.

8 years and 11 years

View Answer

POST UTME 2020
66

If logx+2=1+logylog⁡ x+2 = 1 + log⁡ y , express yy in terms of xx


A.

10/x + 2

B.

10/x + 1

C.

x + 2/10

D.

x + 2 /3

View Answer

POST UTME 2020
67

Find the value of aa if 23a+101a=130a23a+101a=130a

A.

2

B.

3

C.

4

D.

5

View Answer

POST UTME 2020
68


The 4th term of an Ap is 13, the 10th term is 31. Find the 21st term.

A.

64

B.

45

C.

75

D.

95

View Answer

POST UTME 2020
69


If the mean of number 0, X+2, 3x + 6, 4x +8 is 4, find their mean deviation.

A.

2

B.

6

C.

4

D.

8

View Answer

POST UTME 2020
70

What is the variances of the scores 1,2,3,4,5

A.

1.2

B.

1.4

C.

2.0

D.

3.0

View Answer

POST UTME 2020
71


Given the curve y=(3-X)(1-X), obtain the gradient of the curve at the point of intersection with the X and y axis.

A.

-2,2,2

B.

-4,4,2

C.

-4,4,4

D.

-1,1,2

View Answer

POST UTME 2020
72

How many 3 digits number formed from 32564 without repeating any digit.

A.

120

B.

10

C.

20

D.

60

View Answer

POST UTME 2020
73

Find the value of P if the line joining (P,4) (6,-2) is perpendicular to the line joining (2,P) and (-1,-3) 

A.

0

B.

1

C.

2

D.

3

View Answer

POST UTME 2020
74

If x varies inversely as the cube root of y and x=1, when y=8, find y when x= 3

A.

1/3

B.

2/3

C.

8/27

D.

4/9

View Answer

POST UTME 2019
75

If a=-3, b=2, c=4, evaluatea3b3c12bac \frac{a^3-b^3-c^\frac{1}{2}}{b-a-c}

A.

37

B.

-37/5

C.

37/5

D.

-37

View Answer

POST UTME 2019
76

If g(y)=y311\frac{y-3}{11} +11y29\frac{11}{y^2-9} what is g(y+3)?

A.

y/11+11/y(y+6)

B.

y/11 + 11/y(y+3)

C.

y+30/11+ 11/y(y+3)

D.

y+3/11 + 11/y(y-6)

View Answer

POST UTME 2019
77

Factorize completely (x2+x)2(2x+2)2(x^2+x)^2 - (2x+2)^2

A.

(x+1)(x+2)(x-2)

B.

(x+1)^2(x-2)^2

C.

(x+1)^2(x+2)^2

D.

(x+1)^2(x+2)(x-2)

View Answer

POST UTME 2019
78

Simplifyxyx13y13 \frac{x-y} {x^ \frac{1}{3}-y^ \frac{1}{3}}

A.

x^2+x+y^2

B.

x^2/3 +x^1/3 y^1/3 +y^2/3

C.

x^2/3+ x^2/3 y^1/3 -y^2/3

D.

x^2-xy+y^2

View Answer

POST UTME 2019
79

Solve the following equation for x2x^2  ++  2r2x\frac {2}{r^2}x +1r4=0+ \frac {1}{r^4} = 0

A.

r^2

B.

1/r^2

C.

-1/r^2

D.

1/r

View Answer

POST UTME 2019
80

Given that 3x-5y-3=0, 2y-6x+5=0, the value of (x,y) is

A.

(-1/8, 19/24)

B.

(8,24/19)

C.

(-8,24/19)

D.

(19/24, -1/8)

View Answer

POST UTME 2019
81

Simplify 4a249b22a2+5ab7b2\frac{4a^2-49b^2}{2a^2+5ab-7b^2}

A.

a-b/2a+b

B.

2a+7b/a-b

C.

2a+7b/a+b

D.

2a-7b/a-b

View Answer

POST UTME 2019
82

Simplify 1x2+5x+6\frac{1}{x^2+5x+6}  +1x2+3x+2 \frac{1}{x^2+3x+2} 

A.

x+3/(x+1)(x+2)

B.

1/(x+1)(x+2)(x+3)

C.

2/(x+1)(x+3)

D.

4/(x+1)(x+3)

View Answer

POST UTME 2019
83

Find the derivative of 5x \frac{5}{√x}

A.

5/2x^2/3

B.

-5/2x^2/3

C.

-5/2x^-3/2

D.

5/2x^-3/2

View Answer

POST UTME 2019
84

Find the derivative of x22xx^2-2x

A.

2-2x

B.

2x+2

C.

2x-2

D.

2x+4

View Answer

POST UTME 2019
85

Simplify 242^4 x132\frac{1}{3√2} x 2-12\frac{1}{2}

A.

2

B.

2 19/6

C.

2 11/3

D.

4 19/6

View Answer

POST UTME 2019
86

45 is 18% of what number?

A.

520

B.

256

C.

250

D.

500

View Answer

POST UTME 2019
87

(y2x)2(2yx)2(y-2x)^2- (2y-x)^2 simplifies to?

A.

3(x+y)(y+x)

B.

(y+x)(x+y)

C.

3(y-x)(y+x)

D.

3(x-y)(x+y)

View Answer

POST UTME 2019
88

What is the remainder when the polynomial f(y)= y3y^3 +3y23y^2 -13y-10 is divided by y-3

A.

24

B.

55

C.

5

D.

8

View Answer

POST UTME 2019
89

Evaluate 20+4+0.8+...,

A.

52

B.

26

C.

25

D.

50

View Answer

POST UTME 2019
90

Find the value of 9!5!\frac{9!}{5!}

A.

3021

B.

3024

C.

504

D.

508

View Answer

POST UTME 2019
91

Which of the following set has only one subset

A.

{a}

B.

{a,b}

C.

{0}

D.

{ }

View Answer

POST UTME 2019
92

If log10x \log10^x + 1=0, then the value of x will be

A.

10

B.

0.1

C.

o.01

D.

1

View Answer

POST UTME 2019
93

Find the mean deviation of these numbers; 10,12,14,15,17,19

A.

2.5

B.

2.6

C.

2.7

D.

2.8

View Answer

POST UTME 2019
94

Given the sets A={2,4,6,8} and B={2,3,5,9}. If a number is picked at random from each of the two sets, what is the probability that their difference is 6 or 7

A.

1/256

B.

1/16

C.

1/8

D.

1/2

View Answer

POST UTME 2019
95

Given that A and B are two events such that P(A)=13\frac{1}{3} , P(A U B)=35\frac{3}{5}  and P(B) =P, Find P if A and B are mutually exclusive.

A.

1/3

B.

2/15

C.

4/15

D.

3/15

View Answer

POST UTME 2019
96

If a=log35a = log_3^5 and b=log2725b = log_{27}^{25}  then

A.

a>b

B.

a=b

C.

a

D.

none of these

View Answer

POST UTME 2019
97


When the present age of the mother is added to the present age of the daughter, the sum is 40 years what will be their total age after 5 years

A.

40

B.

50

C.

45

D.

55

View Answer

POST UTME 2018
98


The average age of a brother and sister was 35 years at 5 years ago. What will be their average age at present.

A.

37.5

B.

40

C.

80

D.

40.5

View Answer

POST UTME 2018
99

Ram’s present age is one sixth of his father’s present age, if the difference between their percentage age is 35. What is the father’s present age

A.

32

B.

42

C.

52

D.

44

View Answer

POST UTME 2018
100

Find the compound interest on 6250 at 16% per annum for 2 years, compounded annually

A.

2160

B.

2340

C.

1520

D.

1320

View Answer

POST UTME 2018
101

The product of 9375 and the quotient when the larger one is divided by the smaller one is 15, the sum of the number is?

A.

395

B.

380

C.

400

D.

425

View Answer

POST UTME 2018
102

If the side of a square is increased by 25% then it’s area is increased by

A.

25%

B.

55%

C.

40.5%

D.

56.25%

View Answer

POST UTME 2018
103


What is the loss percent if a man loses N10 on selling an article for N100

A.

10%

B.

11 1/9%

C.

9/11%

D.

9%

View Answer

POST UTME 2018
104


If 10 men working 6 hours a day, can complete a work in 18 days. How many hours a day must  fifteen men work to complete it in 12days

A.

6

B.

10

C.

12

D.

15

View Answer

POST UTME 2018
105

If the cost price of 12 pens is equal to the selling price of 8 pens, then the gain percent is 

A.

33.3%

B.

25%

C.

66.67%

D.

50%

View Answer

POST UTME 2018
106


On selling 17 balls at N720, there is a loss equal to the cost price of 5 balls. The cost price of the ball is 

A.

N60

B.

N55

C.

N50

D.

N45

View Answer

POST UTME 2018
107

The 3rd term of an A.P is 4x2Y4x-2Y and the 9th term is 10x8y10x-8y, find the common difference

A.

X-Y

B.

19X-17Y

C.

2X

D.

8X-4Y

View Answer

POST UTME 2017
108

A binary operation is defined by a*b = aba^b if a*2 = 2*2 find the possible values of a

A.

+-2

B.

+-3

C.

+-4

D.

+-5

View Answer

POST UTME 2017
109

On a pie chart, there are four sections of which three angles are 45° 90° and 135°, if the smallest section represent N28 how much is the largest section

A.

N48

B.

N84

C.

N28

D.

N82

View Answer

POST UTME 2017
110

if an item bought for ₦180.00 was sold for ₦225.00, calculate the percentage profit

A.

20%

B.

25%

C.

45%

D.

80%

View Answer

POST UTME 2015
111

simplify 812+312+7134+112\frac{8\frac{1}{2} + 3\frac{1}{2} + 7 }{1\frac{3}{4} + 1\frac{1}{2}}

A.

2{10/13}

B.

2

C.

1{12}{13}

D.

1

View Answer

POST UTME 2015
112

find the value of 3n9273\sqrt\frac{n^9}{27}  if nn =3 = 3

A.

1

B.

3

C.

9

D.

27

View Answer

POST UTME 2015
113

express the number 0.002513 in standard form

A.

2.513  × 10^3

B.

2.513  × 10^2

C.

2.513  × 10^-3

D.

2.513  × 10^-2

View Answer

POST UTME 2015
114

in a class of 40 students, 55% passed Mathematics , 25% passed physics and 20% passed both mathematics and physics.How many passed both mathematics nor physics?

A.

10

B.

12

C.

14

D.

16

View Answer

POST UTME 2015
115

if s=12s = \frac{1}{2} (u + v)t , make v the subject of the formula

A.

(2s - ut)/t

B.

(ut - 2s)/t

C.

(ut + 2s)/t

D.

(2s - u)/t

View Answer

POST UTME 2015
116

if (y + 2 ) varies inversely as xx and y=3y = 3  when x=2x = 2 . Find yy when x=5x = 5

A.

3

B.

2

C.

1

D.

0

View Answer

POST UTME 2015
117

if the 4th4^{th} term of an A.P. is the 15, find the 3rd3^{rd} term of the series 3 + r + s + .....

A.

4

B.

7

C.

9

D.

11

View Answer

POST UTME 2015
118

if [73xx]\begin{bmatrix} 7 & 3 \\ x & x \end{bmatrix} =24= 24 , find xx

A.

3

B.

4

C.

6

D.

8

View Answer

POST UTME 2015
119

The sum of the interior angles of a regular polygon is 1080, find one exterior angle of the polygon

A.

35

B.

45

C.

108

D.

135

View Answer

POST UTME 2015
120

If a right circular cylinder of base radius 5 cm has a height of 7 cm, find the quantity of water the cylinder can contain (π\pi =22/7= 22/7 )

A.

1100cm3

B.

550cm3

C.

250cm3

D.

110cm3

View Answer

POST UTME 2015
121

find the maximum value of the function f(x)=x312x+5f(x) = x^3 - 12x + 5

A.

-9

B.

-2

C.

9

D.

21

View Answer

POST UTME 2015
122

1.3logx+logy =3. Then, y is

A.

(10/x)3

B.

(x/10)3

C.

(x/10)-3

D.

(10/x)1-1/3

View Answer

POST UTME 2006
123

The gradient of a curve is 2x + 7 and the curve passes through point (2, 0). find the equation of the curve.

A.

y = x2 + 7x + 9

B.

y = x2 + 7x - 18

C.

y = x2 + 7x + 18

D.

y = x2 + 14x + 11

View Answer

67ca00ce0c643c71d77dee1f 2006
124

A girl walks 30m from a point P on a bearing of 040 to a point Q. she then walks 30m on a bearing of 140 to a point R. the bearing of R from P is

A.

90

B.

50 

C.

45

D.

40

View Answer

POST UTME 2006
125

In a class, 37 students take a least one of chemistry, Economics and Government, 8 students take Chemistry, 19 take Economics and 25 take Government, 12 students take Economics and Government but nobody takes Chemistry and Economics. How many students take both chemistry and Government?

A.

3

B.

4

C.

5

D.

6

View Answer

POST UTME 2006
126

If the locus of the points which are equidistant from points P and Q meets line PQ at point N, then PN equals

A.

2NQ

B.

NQ

C.

1/4NQ

D.

1/2NQ

View Answer

67ca00ce0c643c71d77dee1f 2006
127

A cyclist rode for 30minutes at xhkm/hr. if the total distance covered is less than 60km, what is the range of values for x?

A.

x<14

B.

x<20

C.

x<29

D.

x< 28

View Answer

POST UTME 2006
128

Evaluate ∫-4 0(1-2x)dx

A.

-16

B.

-20

C.

20

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2006
129

Find the value of k if the expression kx3 + x2 - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1

A.

10

B.

8

C.

-10

D.

-8

View Answer

67ca00ce0c643c71d77dee1f 2006
130

A final examination requires that a student answer any 4 out of 6 questions. In how many ways can this be done?

A.

15

B.

20

C.

30

D.

45

View Answer

67ca00ce0c643c71d77dee1f 2006
131

Simolify (7/9-2/3)/(1/3+(2/5)/(4/5))

A.

11/12

B.

5/6

C.

1/5

D.

2/15

View Answer

67ca00ce0c643c71d77dee1f 2006
132

Differentiate (cos θ - sin θ)2

A.

-2 cos 2θ

B.

-2 sin2θ

C.

1 - 2 cos 2θ

D.

1 - 2 sin 2θ

View Answer

67ca00ce0c643c71d77dee1f 2006
133

If tan θ = 5/4 find sin2 - cos2θ

A.

9/41

B.

5/4

C.

1

D.

9/1

View Answer

67ca00ce0c643c71d77dee1f 2006
134

A binary operation θ defined on the set of real number is such that xθy = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6

A.

1/12

B.

10/3

C.

1/20

D.

9/5

View Answer

67ca00ce0c643c71d77dee1f 2006
135

If dy/dx = x + cos x, find y

A.

x2 - sin x + c

B.

x2 + sin x + c

C.

x2/2 - sin x + c

D.

x2/2 + sin x + c

View Answer

67ca00ce0c643c71d77dee1f 2006
136

If (K2) 6 * 36 = 35(K4)5, what is the value of k?

A.

1

B.

4

C.

3

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2006
137

The solution set of the shaded area above is

A.

Y ≥ 0, y ≥ x and y + x ≤ 4

B.

Y ≤ x, y + x ≤ 4

C.

Y + x ≥ 4, y ≤ x

D.

Y ≤ x, y + x ≤ 4 and y ≥ 0

View Answer

67ca00ce0c643c71d77dee1f 2006
138

Solve the inequalities for which (x + 4)/(3) - (x -3)/(2) < 4

A.

x < 7

B.

x > -7

C.

x < -7

D.

x > 7

View Answer

67ca00ce0c643c71d77dee1f 2006
139

In how many different ways can the letters of the word GEOLOGY be arranged in order?

A.

720

B.

1260

C.

2520

D.

5040

View Answer

POST UTME 2006
140

Factorize 16(3x+2y)2-25 (a+2b)2

A.

(12x +8y+5a+10b)(12x+8y-5a-10b)

B.

(12x+8y-5a-10b) (12x+8y-5a-10b),

C.

20 (3x +2y-a-2b)(3x+2y+a+2b)

D.

20(3x+2y+a+2b) (3x+2y+a+2b).

View Answer

POST UTME 2006
141

The pie chart above shows the expenditure of a family whose income is N30,000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on food?

A.

N 28 000

B.

N 25 500

C.

N15 000s

D.

N 12 500s

View Answer

67ca00ce0c643c71d77dee1f 2006
142

In the diagram above, QR is in the diameter of the semicircle QR. Find the areas of the figure to the nearest whole number.

A.

89 cm2

B.

70 cm2

C.

90 cm2

D.

80 cm2

View Answer

67ca00ce0c643c71d77dee1f 2006
143

If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?

A.

p varies directly as r3

B.

p varies inversely as r6

C.

p varies inversely as 6√P

D.

p varies directly as r6

View Answer

67ca00ce0c643c71d77dee1f 2006
144

Evaluate 2/(6-5√3)

A.

-(12/39-(10√3)/39)

B.

12/39-(10√3)/39

C.

-(12/39+(10√3)/39)

D.

12/39+(10√3)/39

View Answer

67ca00ce0c643c71d77dee1f 2006
145

Expand the expression (x2-2x-3)(x2+x+1).

A.

x4-4x2-5x-3

B.

–x3-4x2+5x-3

C.

x4-x3-4x2-5x-3

D.

x4-4x2-5x -3

View Answer

POST UTME 2006
146

If m:n = 13:111, find m2 - n2 : (m + n)2

A.

1:11

B.

1:13

C.

1:10

D.

1:12

View Answer

67ca00ce0c643c71d77dee1f 2006
147

How many different three digit numbers can be formed using the integers 1 to 6 if no integer 1 to 6 if no integer occurs twice in a number?

A.

720

B.

1260

C.

2520

D.

5040

View Answer

POST UTME 2006
148

The sum of the first n positive integers is

A.

1/2 n(n-1)

B.

n(n+1)

C.

n(n-1)

D.

1/2 n(n-1)

View Answer

67ca00ce0c643c71d77dee1f 2006
149

In the diagram above, find the value of x

A.

55°

B.

50°

C.

45°

D.

40°

View Answer

67ca00ce0c643c71d77dee1f 2006
150

In triangle XYZ, ∠XYZ = 15o, ∠XZY = 45o and lXYl = 7 cm. Find lYZl.

A.

14√2 cm

B.

7(√6/2)

C.

7√2 cm

D.

7 cm

View Answer

67ca00ce0c643c71d77dee1f 2006
151

A regular polygon has each of it angles at 160. What is the number of sides of the polygon?

A.

36

B.

9

C.

18

D.

20

View Answer

POST UTME 2006
152

The table above shows the scores of a group of students in a physics test. If the mode is m and the number of students who scored 4 or more is n, what is (n, m)?

A.

(33, 4)

B.

(22, 4)

C.

(33, 12)

D.

(12, 4)

View Answer

67ca00ce0c643c71d77dee1f 2006
153

If the mean of five consecutive integers is 30, find the largest of the numbers

A.

28

B.

30

C.

32

D.

34

View Answer

67ca00ce0c643c71d77dee1f 2006
154

Z is partly constant and partly varies inversely as the square of d. when d = 1, z = 11 and when d = 2, z = 5. Find the value of z when d = 4.

A.

2

B.

3.5

C.

5

D.

5.5

View Answer

POST UTME 2006
155

A bag contains 10 balls of which 3 are red and 7 are white. Two balls are drawn at random. Find the probability of none of the balls is red, if the draw is with replacement:

A.

0.9

B.

1

C.

0.47

D.

0.49

View Answer

POST UTME 2006
156

Simplify (25)-1/2 x (27)1/3+ (121)-1/2 x (625)-1/4

A.

34/55

B.

9/11

C.

14/5

D.

3/275

View Answer

67ca00ce0c643c71d77dee1f 2006
157

If y = x2 - x - 12, find the range of values of x for which y ≥ 0

A.

x < -3 0r x > 4

B.

x ≤ -3 or x ≥ 4

C.

-3 < x ≥ 4

D.

-3 ≤ x ≤ 4

View Answer

67ca00ce0c643c71d77dee1f 2006
158

The table above shows the distribution of recharge cards of four major GSM operators. What is the probability that a recharge card selected at random will be GTN or Qtel?

A.

3/20

B.

1/4

C.

2/5

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2006
159

Differentiate (x2 - 1/x)2 with respect to x

A.

4x2 - 4x - 2/x

B.

4x2 - 2 + 2/x3

C.

4x2 - 2 - 2/x3

D.

4x2 - 3x + 2/x

View Answer

67ca00ce0c643c71d77dee1f 2006
160

How many terms of the series 3, -6, +12, - 24, + ..... are needed to make a total of 1-28?

A.

12

B.

10

C.

9

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2006
161

The volume of a hemispherical bowl is 718(2/3) . Find its radius .

A.

4.0 cm

B.

5.6 cm

C.

7.0 cm

D.

3.8 cm

View Answer

67ca00ce0c643c71d77dee1f 2007
162

Find the value of (tan60°-tan30°)/(tan60°+tan 30° )

A.

4/√3

B.

2/√3

C.

1

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2007
163

If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is

A.

-4/3

B.

-3/4

C.

4/3

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2007
164

The nth term of the sequence 3/2, 3, 7, 16, 35, 74 ..... Is

A.

5 . 2n-2 - n

B.

5 . 2n-2 - (n+1) / 2

C.

3 . 2n-2

D.

3/2 n

View Answer

67ca00ce0c643c71d77dee1f 2007
165

How long will take a sum of money invested at 8% simple interest to double the original sum?

A.

8 years

B.

10.5years

C.

(1years

D.

12.5years

View Answer

POST UTME 2007
166

Find y, if √12-√147+y√3=0

A.

5

B.

1

C.

7

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2007
167

If X = {all the perfect squares less than 40} Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.

A.

{3, 9}

B.

{9}

C.

{9, 25}

D.

{1, 9}

View Answer

67ca00ce0c643c71d77dee1f 2007
168

In a basket, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random. What is the probability that the fruit is either a grape or a banana

A.

6/30

B.

5/30

C.

17/30

D.

11/30

View Answer

67ca00ce0c643c71d77dee1f 2007
169

Find the value of x for which 2(32x-1) = 162

A.

5/2

B.

3/2

C.

2/5

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2007
170

Evaluate ((05652)2 - (04375)2)/0.04 correct to three significant figures

A.

3.11

B.

3.13

C.

0.313

D.

3.12

View Answer

67ca00ce0c643c71d77dee1f 2007
171

The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, calculate the value of y

A.

15

B.

13

C.

11

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2007
172

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus off P

A.

It is a semi circle with ST as diameter

B.

It is a perpendicular bisector of St

C.

It is a quadrant of a circle with ST as diameter

D.

It is a straight line perpendicular to ST

View Answer

67ca00ce0c643c71d77dee1f 2007
173

Find the size of each exterior angle of a regular octagon

A.

51°

B.

45°

C.

40°

D.

36°

View Answer

67ca00ce0c643c71d77dee1f 2007
174

The average age of the three children in a family is 9 years. If the average age of their parent is 39 years, the average age of the whole family is:

A.

20 years

B.

21years

C.

24years

D.

27years

View Answer

POST UTME 2007
175

If x= 0.0012 + 0.00074 + 0.003174, what is the difference between x to 2 decimal places and x to 1 significant figure?

A.

0.01

B.

0.0051

C.

0.1

D.

0.005

View Answer

POST UTME 2007
176

Simplify 3/5÷(2/7×4/3÷4/9)

A.

4/5

B.

7/10

C.

6/6

D.

21/6

View Answer

67ca00ce0c643c71d77dee1f 2007
177

A senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?

A.

640

B.

840

C.

520

D.

920

View Answer

67ca00ce0c643c71d77dee1f 2007
178

If y = (1 + x)2, find dy/dx

A.

x - 1

B.

2 + 2x

C.

1 + 2x

D.

2x - 1

View Answer

67ca00ce0c643c71d77dee1f 2007
179

Calculate the length of an arc of a circle diameter 14 cm, which substends an angle of 90o at the center of the circle

A.

7π/2 cm

B.

7π cm

C.

14π cm

D.

7π/4 cm

View Answer

67ca00ce0c643c71d77dee1f 2007
180

What is the value of k if the mid-point of the line joining (1 - k, - 4) and (2, k + 1) is (-k , k)?

A.

-3

B.

-1

C.

-4

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2007
181

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30°. Determine the height of the tower.

A.

(40√3)/3 m

B.

20 m

C.

40√3 m

D.

40 m

View Answer

67ca00ce0c643c71d77dee1f 2007
182

The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

A.

27/40

B.

17/20

C.

3/30

D.

33/40

View Answer

67ca00ce0c643c71d77dee1f 2007
183

The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa gets N600 and Lawal N800. How old is Lawal?

A.

14 years

B.

20 years

C.

12 years

D.

16 years

View Answer

67ca00ce0c643c71d77dee1f 2007
184

If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and the median number

A.

36

B.

48

C.

30

D.

40

View Answer

67ca00ce0c643c71d77dee1f 2007
185

In how many ways can 6 subjects be selected from 10 subjects for an examination

A.

218

B.

216

C.

215

D.

210

View Answer

67ca00ce0c643c71d77dee1f 2007
186

Integrate (x2-√x)/x with respect to x

A.

x2/2-2√x+K

B.

(2(x2-x))/3x+K

C.

x2/2-√x+K

D.

((x2-x))/3x+K

View Answer

67ca00ce0c643c71d77dee1f 2007
187

Make L the subjects of the formula if d=√(42w/5l)

A.

√(42w/5d)

B.

42W/(5d2 )

C.

42/5dW

D.

1/d √(42w/5)

View Answer

67ca00ce0c643c71d77dee1f 2007
188

Determine the value of ∫0(π/2)(-2cosx)dx

A.

(π/2)

B.

-1/2

C.

-3

D.

-3/2

View Answer

67ca00ce0c643c71d77dee1f 2007
189

In the parallelogram PQRS above, find angle SQR

A.

100°

B.

80°

C.

50°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2007
190

The interior angles of a pentagon are: 180o, 118o, 78o, 84o and x. The value of x is:

A.

80o

B.

108o

C.

120o

D.

134o

View Answer

POST UTME 2007
191

Find the locus of point equidistant from two straight lines y - 5 = 0 and y - 3 = 0

A.

y - 2 = 0

B.

y - 4 = 0

C.

y - 1 = 0

D.

y - 3 = 0

View Answer

67ca00ce0c643c71d77dee1f 2007
192

Find the value of x for which the function f(x) = 2x3 - x2 - 4x + 4 has a maximum value

A.

2/3

B.

1

C.

- 2/3

D.

- 1

View Answer

67ca00ce0c643c71d77dee1f 2007
193

Calculate the length of an arc of a circle diameter 14 cm, which subtends an angle of 90° at the center of the circle

A.

7π/2 cm

B.

7π cm

C.

14π cm

D.

7π/4 cm

View Answer

67ca00ce0c643c71d77dee1f 2007
194

The histogram above represents the weights of students who travelled out to their school for an examination. How many people made the trip?

A.

78

B.

38

C.

29

D.

69

View Answer

67ca00ce0c643c71d77dee1f 2007
195

A square tile measures 20cm by 20cm. How many of such tiles will cover a floor measuring 5m by 4m?

A.

500

B.

400

C.

320

D.

250

View Answer

POST UTME 2007
196

Given P = {1, 3, 5, 7, 9, 11} and Q = {2, 4, 6, 8, 10, 12}. Determine the relationship between P and Q

A.

P∩Q = ∅

B.

P ⊂ Q

C.

Q⊂P

D.

P = Q

View Answer

67ca00ce0c643c71d77dee1f 2007
197

In a survey of 100 students in an institution, 80 students speak Yoruba, 22 speak Igbo, while 6 speak neither Igbo nor Yoruba. How many students speak Yoruba and Igbo?

A.

96

B.

8

C.

64

D.

12

View Answer

POST UTME 2007
198

When the price of egg was raised by N2 an egg, the number of eggs which can be bought for N 120 is reduced by 5. The present price of an egg is

A.

N 6.

B.

N 7

C.

N 8

D.

N10

View Answer

POST UTME 2007
199

The journey from Lagos to Ibadan usually takes a motorist 1 hour 30 minutes. By increasing his average speed by 20km/hr, the motorist saves 15 minutes. His usual speed, in Km/hr is

A.

100

B.

90

C.

85

D.

80

View Answer

POST UTME 2007
200

The pie chart above illustrate the amount of private time a student spends in a week studying various subjects. Find the value of k

A.

90°

B.

60°

C.

30°

D.

40°

View Answer

67ca00ce0c643c71d77dee1f 2007
201

Find the angle subtended at the center of a circle by a chord which is equal in length to the radius of the circle.

A.

30°

B.

45°

C.

60°

D.

90°

View Answer

67ca00ce0c643c71d77dee1f 2008
202

Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters [π = 22/7]

A.

44,000 liters

B.

4,400 liters

C.

440 liters

D.

44 liters

View Answer

67ca00ce0c643c71d77dee1f 2008
203

A binary operation on the real set of numbers excluding -1 is such that for all m, n ∈ R, mΔn = m+n+mn. Find the identity element of the operation.

A.

1

B.

0

C.

-1/2

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2008
204

The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.

A.

12

B.

4

C.

-12

D.

-24

View Answer

67ca00ce0c643c71d77dee1f 2008
205

The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through?

A.

(2,5)

B.

(5,2)

C.

(1,0)

D.

(0,1)

View Answer

67ca00ce0c643c71d77dee1f 2008
206

Factorize 16(3x +2y)2 -25(a+2b)2

A.

(12x + 8y -5a-10b)(12x+8y-5a-10b)

B.

20(3x +2y-a-2b)(3x+2y+a+1-2b)

C.

(12x +8y+5a+10b)(12x +8y-5a-10b)

D.

20(3x +2y+ a+2b)(3x + 2y+a+2b)

View Answer

POST UTME 2008
207

The probability of picking a letter T from the word OBSTRUCTION is?

A.

1/11

B.

2/11

C.

3/11

D.

4/11

View Answer

67ca00ce0c643c71d77dee1f 2008
208

Find the exterior angle of a 12 sided regular polygon

A.

12°

B.

24°

C.

25°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2008
209

One angle of an octagon is 1000 while the other sides are equal. Find each of these exterior angles.

A.

800,

B.

600,

C.

1400,

D.

400,

View Answer

POST UTME 2008
210

If 2x2 - kx - 12 is divisible by x-4, Find the value of k

A.

4

B.

5

C.

6

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2008
211

Dividing 2x3 – x2 – 5x + 1 by x + 3 gives the remainder

A.

.-3

B.

47

C.

61

D.

-47

View Answer

POST UTME 2008
212

Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0

A.

3/2

B.

2/3

C.

-2/3

D.

-3/2

View Answer

67ca00ce0c643c71d77dee1f 2008
213

Solve the quadratic inequalities x2 - 5x + 6 ≥ 0

A.

x ≤ 2, x ≥ 3

B.

x ≤ 3, x ≥ 2

C.

x ≤ -2, x ≥ -3

D.

x ≤-3, x ≥ 2

View Answer

67ca00ce0c643c71d77dee1f 2008
214

Express 123456 to 3 significant figures

A.

123000

B.

124000

C.

125000

D.

126000

View Answer

67ca00ce0c643c71d77dee1f 2008
215

calculate the simple interest on N7,500 for 8 years at 5% per annum.

A.

N3,000

B.

N600

C.

N300

D.

N150

View Answer

67ca00ce0c643c71d77dee1f 2008
216

〖log〗(x1/2)64 = 3, find the value of x

A.

4

B.

16

C.

32

D.

64

View Answer

67ca00ce0c643c71d77dee1f 2008
217

All the 120 pupils in a school learn Yoruba or Igbo or both. Given that 75 learn Yoruba and 60 learn Igbo. 13. How many learn both languages?

A.

60

B.

45

C.

15

D.

120

View Answer

POST UTME 2008
218

In the diagram above, PQ//RS. The size of the angle marked x is?

A.

100°

B.

80°

C.

50°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2008
219

Find the number of ways of selecting 6 out of 10 subjects for an examination

A.

128

B.

216

C.

215

D.

210

View Answer

67ca00ce0c643c71d77dee1f 2008
220

Find the minimum value of the function y = x(1+x)

A.

-1/4

B.

-1/2

C.

1/4

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2008
221

Make Q the subject of formula when L = 4/3 M√PQ

A.

(9L2)/(16M2 P)

B.

3L/(4M√P)

C.

√3L/4MP

D.

(3L2)/(16M2 ) P

View Answer

67ca00ce0c643c71d77dee1f 2008
222

A trader bought goats for ₦4,000 each. He sold them for ₦18,000 at a loss of . How many goats did he buy?

A.

60

B.

50

C.

45

D.

36

View Answer

67ca00ce0c643c71d77dee1f 2008
223

Find the median of 4, 1, 4, 1, 0, 4, 4, 2 and 0

A.

0

B.

1

C.

2

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2008
224

The average age of x pupils in a class is 14 years 2 months. A pupils of 15years 2 months joins the class and the average age is increased by one month. Find x.

A.

12,

B.

6,

C.

11,

D.

14,

View Answer

POST UTME 2008
225

The expression ax2 + bx takes the value 6 when x = 1 and 10 when x = 2. Find its value when x = 5

A.

10

B.

12

C.

6

D.

.-10

View Answer

POST UTME 2008
226

Find the values of x and y respectively if

A.

-3, -2

B.

-5, -3

C.

-2, -5

D.

-3, -5

View Answer

67ca00ce0c643c71d77dee1f 2008
227

The cost of kerosene per liter increased from N60 to N85. What is the percentage rate of increase?

A.

42%

B.

41%

C.

40%

D.

25%

View Answer

67ca00ce0c643c71d77dee1f 2008
228

A. cylinder has height 4cm and base radius 5cm.its volume to 3 significant figure is

A.

314.2cm2

B.

31.42 cm2

C.

251 4cm2

D.

251cm2

View Answer

POST UTME 2008
229

( −2 2 1 3 ) ( p r q s ) = ( 1 0 0 1 ) . What is the value of r?

A.

-1/8

B.

3/8

C.

5/8

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2008
230

A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20°. How far is the car from the bottom of the tower to the nearest metre?

A.

184 m

B.

185 m

C.

186 m

D.

187 m

View Answer

67ca00ce0c643c71d77dee1f 2008
231

If (1+√2)/(1-√2) is expressed in the form of x+y√2 find the values of x and y

A.

(-3, -2)

B.

. (-2, 3)

C.

(3,2)

D.

(2,-3)

View Answer

67ca00ce0c643c71d77dee1f 2008
232

The trigonometric expression cos2A + sin 2A can be written as:

A.

cosA(cosA + sinA)

B.

B.cos2A + sin2A – 2sinAcosA,

C.

2sinAcosA + cos2A + sin2A,

D.

D.cos2A +sinA – 2sinAcosA

View Answer

POST UTME 2008
233

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mn>2</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mn>2</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> </mfrac> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <msqrt> <mn>16</mn> </msqrt> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <msqrt> <mn>4</mn> </msqrt> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mi>s</mi> <mi>q</mi> <mi>r</mi> <mi>t</mi> <mo stretchy="false">[</mo> <mn>3</mn> <mo stretchy="false">]</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>27</mn> </mrow> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>3</mn> <mn>1</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> </math>

simplify 〖16〗((-1)/2) × 4((-1)/2)×〖27〗(1/3)

A.

3/8

B.

2/3

C.

3/4

D.

3/2

View Answer

67ca00ce0c643c71d77dee1f 2008
234

The bar chart above shows the number of times the word a, and , in, it, the , to appear in a paragraph in a book. What is the ratio of the least frequent word?

A.

1/4

B.

1/3

C.

2/3

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2008
235

Find the mean deviation of 2, 4, 5, and 9

A.

1

B.

2

C.

5

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2008
236

The result of rolling a fair die 150 times is as summarized in the table above. What is the probability of obtaining a 5

A.

3/10

B.

1/5

C.

1/6

D.

1/10

View Answer

67ca00ce0c643c71d77dee1f 2008
237

A book seller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books. How many customers has he altogether?

A.

30

B.

40

C.

50

D.

60

View Answer

67ca00ce0c643c71d77dee1f 2008
238

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mn>1</mn> <mn>2</mn> </msubsup> <mo stretchy="false">(</mo> <mn>6</mn> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mi>x</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫1 2〖(6x2-2x)dx〗〗

A.

16

B.

13

C.

12

D.

11

View Answer

67ca00ce0c643c71d77dee1f 2008
239

The difference of two numbers is 10, while their product is 39. Find these numbers

A.

– 3 and 10 or 13 and 10,

B.

3 and – 10 or 3 and 13,

C.

3 and – 3 or 3 and 13,

D.

– 3 and – 13 or 13 and 3

View Answer

POST UTME 2008
240

Differentiate sin x - x cos x

A.

x cos x

B.

x sin x

C.

-x cos x

D.

-x sin x

View Answer

67ca00ce0c643c71d77dee1f 2008
241

If P varies inversely as V and V varies directly as R2, find the relationship between P and R given that R = 7 when P = 2

A.

P = 98R2

B.

PR2 = 98

C.

P2R = 89

D.

P = 1/98R

View Answer

POST UTME 2009
242

A regular polygon has 150º as the size of each interior angle. How many sides does it have?

A.

12

B.

10

C.

9

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2009
243

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>81.81</mn> <mo>+</mo> <mn>99.44</mn> </mrow> <mrow> <mn>20.09</mn> <mo>+</mo> <mn>36.16</mn> </mrow> </mfrac> </math>

Evaluate (81.81+99.44)/(20.09+36.16) correct to 3 siginficant figures

A.

6.24

B.

3.22

C.

2.78

D.

2.13

View Answer

67ca00ce0c643c71d77dee1f 2009
244

Find the value of sin 45° - cos 30°

A.

(2+√3)/4

B.

(√2+√3)/4

C.

(√3+√3)/2

D.

(√2−√3)/2

View Answer

67ca00ce0c643c71d77dee1f 2009
245

5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k?

A.

4

B.

3

C.

2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2009
246

Find the acute angle between the straight lines y = x and y = √3x

A.

15°

B.

30°

C.

45°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2009
247

What value of x will make the function x(4 - x) a maximum?

A.

4

B.

3

C.

2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2009
248

If Q is, [] then |Q| is?

A.

-50

B.

-22

C.

22

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2009
249

If m * n = n - (m+2) for any real number m and n find the value of 3*(-5)?

A.

-6

B.

-8

C.

-10

D.

-12

View Answer

67ca00ce0c643c71d77dee1f 2009
250

The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is?

A.

n(3n - 0.5)

B.

n(3n + 2)

C.

n(3n + 2.5)

D.

n(3n + 5)

View Answer

67ca00ce0c643c71d77dee1f 2009
251

The distance traveled by a particle from a fixed point is given as s = (t3 - t2 - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point?

A.

2.3 cm

B.

4.0 cm

C.

5.2 cm

D.

6.0 cm

View Answer

67ca00ce0c643c71d77dee1f 2009
252

Factorize 6x2 – 14x – 12

A.

2(x + 3)(3x – 2)

B.

6(x – 2)(x + 1)

C.

2(x – 3)(3x + 2)

D.

6(x + 2)(x – 1)

View Answer

POST UTME 2009
253

Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x = 0 and y = 0 (where k is a constant)?

A.

x + y = 0

B.

x - y = 0

C.

x + y + k = 0

D.

x - y - k = 0

View Answer

67ca00ce0c643c71d77dee1f 2009
254

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mn>1</mn> <mo>,</mo> <mfrac> <mn>9</mn> <mn>10</mn> </mfrac> <mo>,</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mn>9</mn> <mn>10</mn> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>,</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mn>9</mn> <mn>10</mn> </mfrac> <mo>)</mo> </mrow> <mn>3</mn> </msup> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </math>

Find to infinity, the sum of the sequence 1,9/10,(9/10)2,(9/10)3,…..

A.

10

B.

9

C.

10/9

D.

9/10

View Answer

67ca00ce0c643c71d77dee1f 2009
255

The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term?

A.

180

B.

120

C.

110

D.

40

View Answer

67ca00ce0c643c71d77dee1f 2009
256

Find the probability that a number selected at random 40 to 50 is a prime number

A.

3/11

B.

5/11

C.

5/10

D.

4/10

View Answer

POST UTME 2009
257

A chord drawn 5 cm away from the center of a circle of radius 13 cm. Calculate the length of the chord?

A.

7cm

B.

9cm

C.

12cm

D.

24cm

View Answer

67ca00ce0c643c71d77dee1f 2009
258

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60º, find the width of the river?

A.

100m

B.

75√3 m

C.

100√3m

D.

200√3m

View Answer

67ca00ce0c643c71d77dee1f 2009
259

Determine the value of x for which (x2 - 1) > 0?

A.

x < -1 or x > 1

B.

-1 < x < 1

C.

x > 0

D.

x < -1

View Answer

67ca00ce0c643c71d77dee1f 2009
260

What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2

A.

0.5

B.

1.0

C.

1.5

D.

2.0

View Answer

67ca00ce0c643c71d77dee1f 2009
261

A man bought a second-hand photocopying machine for N34,000. He serviced it at a cost of N2,000 and then sold it at a profit of 15%. What was the selling price?

A.

N37,550

B.

N40,400

C.

N41,400

D.

N42,400

View Answer

67ca00ce0c643c71d77dee1f 2009
262

If the length of the sides of a right angled triangle are (3x + 1)cm, (3x – 1)cm and xcm, what is x ?

A.

2

B.

6

C.

18

D.

12

View Answer

POST UTME 2009
263

In how many ways can 9 people be seated if 3 chairs are available?

A.

720

B.

504

C.

336

D.

210

View Answer

67ca00ce0c643c71d77dee1f 2009
264

If 32y – 6(3y) = 27, find y

A.

3

B.

-1

C.

2

D.

-3

View Answer

POST UTME 2009
265

Find the probability of selecting a figure which is parallelogram from a square, a rectangle, a rhombus, a kite and a trapezium

A.

3/5

B.

2/5

C.

1/5

D.

1/5

View Answer

POST UTME 2009
266

A sum of money was invested at 8% per annum simple interest. If after 4 years, the money became

A.

N180

B.

N 165

C.

N15

D.

N 200

View Answer

POST UTME 2009
267

What is the product of 27/5 ¸(3)3 and (1/5)

A.

5

B.

3

C.

2

D.

1

View Answer

POST UTME 2009
268

Solve 5(2(x-1)) × 5(x+1)=0.04

A.

1/3

B.

1/4

C.

-1/5

D.

-1/3

View Answer

67ca00ce0c643c71d77dee1f 2009
269

If x = {n2+1:n is a positive integer and 1 ≤ n ≤ 5}, Y = {5n:n is a positive integer and 1 ≤ n ≤ 5}, find x ∩ y.

A.

{5,10}

B.

{5, 10, 15}

C.

{2, 5, 10}

D.

{5, 10, 15, 20}

View Answer

67ca00ce0c643c71d77dee1f 2009
270

A man kept 6 black, 5 brown and 7 purple shirts in a drawer. What is the probability of his picking a purple shirt with his eyes close

A.

1/7

B.

7/18

C.

11/18

D.

7/11

View Answer

POST UTME 2009
271

Find the range of values of x for which 3x - 7 ≤ 0 and x + 5 > 0?

A.

-5 < x < 7/3

B.

-5 ≤ x ≤ 7/3

C.

-5 < x ≤ 7/3

D.

-5 ≤ x < 7/3

View Answer

67ca00ce0c643c71d77dee1f 2009
272

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>W</mi> <mo>&#x221D;</mo> <mi>U</mi> <mspace linebreak="newline" /> <mi>W</mi> <mo>=</mo> <mi>K</mi> <mi>U</mi> <mspace linebreak="newline" /> <mi>K</mi> <mo>=</mo> <mfrac> <mi>W</mi> <mi>U</mi> </mfrac> <mspace linebreak="newline" /> <mi>K</mi> <mo>=</mo> <mfrac> <mn>5</mn> <mn>3</mn> </mfrac> <mspace linebreak="newline" /> <mi>W</mi> <mo>=</mo> <mfrac> <mn>5</mn> <mn>3</mn> </mfrac> <mi>U</mi> <mspace linebreak="newline" /> <mfrac> <mn>2</mn> <mn>7</mn> </mfrac> <mo>=</mo> <mfrac> <mn>5</mn> <mn>3</mn> </mfrac> <mi>U</mi> <mspace linebreak="newline" /> <mi>U</mi> <mo>=</mo> <mfrac> <mn>2</mn> <mn>7</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>3</mn> <mn>5</mn> </mfrac> <mspace linebreak="newline" /> <mi>U</mi> <mo>=</mo> <mfrac> <mn>6</mn> <mn>35</mn> </mfrac> </math>

W is directly proportional to U. If W = 5 when U = 3, find U when W = 2/7

A.

6/35

B.

10/21

C.

21/10

D.

35/6

View Answer

67ca00ce0c643c71d77dee1f 2009
273

If P = [] evaluate x if |P| = -10

A.

-5

B.

-2

C.

2

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2009
274

The cumulative frequency curve above shows the distribution of the scores of 50 students in an examination. Find the 36th percentile scores?

A.

18%

B.

28%

C.

36%

D.

50%

View Answer

67ca00ce0c643c71d77dee1f 2009
275

An (n-2)2 sided figure has n diagonal, find the number n of diagonal for a 25 sided Figure

A.

8

B.

7

C.

6

D.

10

View Answer

POST UTME 2009
276

Two fair dice are rolled. What is the probability that both show up the same number of point?

A.

1/36

B.

7/36

C.

½

D.

1/6

View Answer

POST UTME 2009
277

If 55x + 52x = 7710 find X

A.

5

B.

6

C.

7

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2009
278

Subtract 164189 from 186309.

A.

11219

B.

21129

C.

21139

D.

22119

View Answer

67ca00ce0c643c71d77dee1f 2009
279

What is the value of r if the distance between the point (4,2) and (1,r) is 3 units?

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2009
280

Find the positive number n such that thrice its square is equal to twelve time the number

A.

1

B.

4

C.

2

D.

5

View Answer

POST UTME 2009
281

Express the product of 0.21 and 0.34 in standard form

A.

7.14 x 10-3

B.

7.14 x 10-2

C.

7.14 x 10-1

D.

7.14 x 10sup>-4

View Answer

67ca00ce0c643c71d77dee1f 2010
282

From the cyclic quadrilateral TUVW above, find the value of x

A.

26°

B.

24°

C.

20°

D.

23°

View Answer

67ca00ce0c643c71d77dee1f 2010
283

Solve for x and y if x - y = 2 and x2 - y2 = 8

A.

(-1, 3)

B.

(3, 1)

C.

(-3, 1)

D.

(1, 3)

View Answer

67ca00ce0c643c71d77dee1f 2010
284

If two smaller sides of a right angled triangle are 4cm and 5cm, find its area

A.

10 cm2

B.

6 cm2

C.

24 cm2

D.

8 cm2

View Answer

67ca00ce0c643c71d77dee1f 2010
285

If p : q = 2/3 : 5/6 and q : r = 3/4 : 1/2, find p : q : r

A.

12 : 15 : 10

B.

12 : 15 : 16

C.

10 : 15 : 24

D.

9 : 10 : 15

View Answer

67ca00ce0c643c71d77dee1f 2010
286

The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression

A.

-44

B.

-165

C.

165

D.

44

View Answer

67ca00ce0c643c71d77dee1f 2010
287

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mrow> <mo>(</mo> <mfrac> <mn>81</mn> <mn>16</mn> </mfrac> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mn>4</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>=</mo> <mfrac> <mn>1</mn> <msup> <mrow> <mo>(</mo> <mfrac> <mn>81</mn> <mn>16</mn> </mfrac> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </msup> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mn>16</mn> <mn>81</mn> </mfrac> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </msup> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </math>

Evaluate (81/16)−1/4 × 2−1

A.

1/3

B.

3

C.

6

D.

1/6

View Answer

67ca00ce0c643c71d77dee1f 2010
288

An arc subtends an angle of 50o at the center of circle of radius 6cm. Calculate the area of the sector formed

A.

100/7

B.

80/7

C.

110/7

D.

90/7

View Answer

67ca00ce0c643c71d77dee1f 2010
289

The table above show the marks obtained in a given test. Find the mean mark

A.

3.1

B.

3.0

C.

3.2

D.

3.3

View Answer

67ca00ce0c643c71d77dee1f 2010
290

In a survey of 50 newspaper readers, 40 read Champion and 30 read Guardian, how many read both papers?

A.

10

B.

5

C.

15

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2010
291

If the area of ΔPQR above is 12√3 cm2, find the value of q?

A.

6 cm

B.

7 cm

C.

8 cm

D.

5 cm

View Answer

67ca00ce0c643c71d77dee1f 2010
292

Determine the value of x for which (x2 - 1)>0

A.

x < -1 or x > 1

B.

-1 < x < 1

C.

x > 0

D.

x < -1

View Answer

67ca00ce0c643c71d77dee1f 2010
293

Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....

A.

5/8

B.

5/7

C.

5/11

D.

5/9

View Answer

67ca00ce0c643c71d77dee1f 2010
294

from the table above, if the pass mark is 5, how many students failed the test?

A.

6

B.

2

C.

7

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2010
295

Find the equation of a line parallel to y = -4x + 2 passing through (2,3)

A.

y + 4x + 11 = 0

B.

y - 4x - 11 = 0

C.

y + 4x - 11 = 0

D.

y - 4x + 11 = 0

View Answer

67ca00ce0c643c71d77dee1f 2010
296

Make Q the subject of formula if p = M/5(X + Q) + 1

A.

5P−MX+5/M

B.

5P−MX−5/M

C.

5P+MX+5/M

D.

÷(5P+MX-5)/M

View Answer

67ca00ce0c643c71d77dee1f 2010
297

Find the distance between the points (1/2, 1/2) and (-1/2, -1/2).

A.

1

B.

0

C.

√3

D.

√2

View Answer

67ca00ce0c643c71d77dee1f 2010
298

If three unbiased coins are tossed, find the probability that they are all heads

A.

1/2

B.

1/3

C.

1/9

D.

1/8

View Answer

67ca00ce0c643c71d77dee1f 2010
299

At what value of X does the function y = -3 - 2x + X2 attain a minimum value?

A.

-1

B.

14

C.

4

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2010
300

Find the gradient of the line passing through the points P(1, 1) and Q(2, 5).

A.

3

B.

2

C.

5

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2010
301

If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64

A.

12

B.

6

C.

3

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2010
302

A student measures a piece of rope and found that it was 1.26m long. If the actual length of the rope was 1.25m, what was the percentage error in the measurement?

A.

0.25%

B.

0.01%

C.

0.80%

D.

0.40%

View Answer

67ca00ce0c643c71d77dee1f 2010
303

The interior angles of a quadrilateral are (x + 15)°, (2x - 45)°, ( x - 30)° and (x + 10)°. Find the value of the least interior angle.

A.

112°

B.

102°

C.

82°

D.

52°

View Answer

67ca00ce0c643c71d77dee1f 2010
304

If x * y = x + y2, find then value of (2*3)*5

A.

36

B.

25

C.

11

D.

55

View Answer

67ca00ce0c643c71d77dee1f 2010
305

From the diagram above, find x

A.

65°

B.

50°

C.

75°

D.

55°

View Answer

67ca00ce0c643c71d77dee1f 2010
306

Evaluate []

A.

5y - 2x -18 = 0

B.

102

C.

-102

D.

-42

View Answer

67ca00ce0c643c71d77dee1f 2010
307

At what rate will the interest on N400 increases to N24 in 3 years reckoning in simple interest?

A.

3%

B.

2%

C.

5%

D.

4%

View Answer

67ca00ce0c643c71d77dee1f 2010
308

If y = (2x + 1)3 find dy/dx

A.

3(2x+1)2

B.

6(2x+1)

C.

3(2x+1)

D.

6(2x+1)2

View Answer

67ca00ce0c643c71d77dee1f 2010
309

What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?

A.

y = -χ + 6

B.

y = -χ - 6

C.

y = χ + 6

D.

y = χ - 6

View Answer

67ca00ce0c643c71d77dee1f 2010
310

In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women?

A.

100

B.

200

C.

30

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2010
311

If 9x2 + 6xy + 4y2 is a factor of 27x3 - 8y3 , find the other factor.

A.

2y + 3x

B.

2y - 3x

C.

3x + 2y

D.

3x - 2y

View Answer

67ca00ce0c643c71d77dee1f 2010
312

Solve the inequalities -6 ≤ 4 - 2x < 5 - x

A.

-1 < x < 5

B.

-1 < x ≤ 5

C.

-1 ≤ x ≤ 6

D.

-1 ≤ x < 6

View Answer

67ca00ce0c643c71d77dee1f 2010
313

If x is inversely proportional to y and x = 2(1/2) when y = 2, find x if y = 4

A.

4

B.

5

C.

1(1/4)

D.

2(1/4)

View Answer

67ca00ce0c643c71d77dee1f 2010
314

If ∣∣∣x237∣∣∣ = 15, find the value of x

A.

3

B.

4

C.

5

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2010
315

A cylindrical pipe 50m long with radius 7m has one end open. What is the total surface area of the pipe?

A.

749πm2

B.

700πm2

C.

350πm2

D.

98πm2

View Answer

67ca00ce0c643c71d77dee1f 2010
316

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>2</mn> <msqrt> <mn>3</mn> </msqrt> <mo>+</mo> <msqrt> <mn>5</mn> </msqrt> </mrow> <mrow> <msqrt> <mn>5</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> </math>

Rationalize (2√3 + √5)/(√5 - √3)

A.

(3 √ 15 +11) / 2

B.

3 √ 15 -11

C.

(3 √ 15 -11) / 2

D.

3 √ 15 +11

View Answer

67ca00ce0c643c71d77dee1f 2010
317

Find ∫(sin x + 2)dx

A.

cos x + x2 + K

B.

cos x 2x + K

C.

-cos x + x2 + K

D.

-cos x + 2x + K

View Answer

67ca00ce0c643c71d77dee1f 2010
318

If cotθ = 8/15, where θ is acute, find sinθ

A.

8/17

B.

15/17

C.

16/17

D.

13/17

View Answer

67ca00ce0c643c71d77dee1f 2010
319

The bar chart above shows the distribution of SS2 students in a school. Find the total number of students

A.

180

B.

135

C.

210

D.

105

View Answer

67ca00ce0c643c71d77dee1f 2011
320

Evaluate ∫10(3 - 2x)dx

A.

33m

B.

5

C.

2

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2011
321

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid" columnlines="solid"> <mtr> <mtd> <mi>N</mi> <mi>o</mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mn>5</mn> </mtd> </mtr> <mtr> <mtd> <mi>F</mi> <mi>r</mi> <mi>e</mi> <mi>q</mi> <mi>u</mi> <mi>e</mi> <mi>n</mi> <mi>c</mi> <mi>y</mi> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>8</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>5</mn> </mtd> </mtr> </mtable> </math>

From the table above, find the median and range of the data respectively.

A.

(8,5)

B.

(3, 5)

C.

(5 , 8)

D.

(5 , 3)

View Answer

67ca00ce0c643c71d77dee1f 2011
322

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid" columnlines="solid"> <mtr> <mtd> <mi>C</mi> <mi>l</mi> <mi>a</mi> <mi>s</mi> <mi>s</mi> <mi>I</mi> <mi>n</mi> <mi>t</mi> <mi>e</mi> <mi>r</mi> <mi>v</mi> <mi>a</mi> <mi>l</mi> </mtd> <mtd> <mn>3</mn> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> </mtd> <mtd> <mn>6</mn> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> </mtd> <mtd> <mn>9</mn> <mo>&#x2212;<!-- − --></mo> <mn>11</mn> </mtd> </mtr> <mtr> <mtd> <mi>F</mi> <mi>r</mi> <mi>e</mi> <mi>q</mi> <mi>u</mi> <mi>e</mi> <mi>n</mi> <mi>c</mi> <mi>y</mi> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>2</mn> </mtd> </mtr> </mtable> </math>

Find the standard deviation of the above distribution.

A.

√5

B.

√6

C.

√7

D.

√2

View Answer

67ca00ce0c643c71d77dee1f 2011
323

Make R the subject of the formula if T = KR2+M/3

A.

√((3T-K)/M)

B.

√((3T-M)/K)

C.

√((3T+K)/M)

D.

√((3T-K)/M)

View Answer

67ca00ce0c643c71d77dee1f 2011
324

Rationalize 2−√5/3−√5

A.

1−√5/2

B.

1−√5/4

C.

√5−1/2

D.

1+√5/4

View Answer

67ca00ce0c643c71d77dee1f 2011
325

Find the probability that a number picked at random from the set {43, 44, 45, - , -, -, 60} is a prime number

A.

2/9

B.

7/9

C.

1/3

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2011
326

In how many ways can five people sit round a circular table?

A.

24

B.

60

C.

12

D.

120

View Answer

67ca00ce0c643c71d77dee1f 2011
327

Solve the inequality x2 + 2x > 15.

A.

x < -3 or x > 5

B.

-5 < x < 3

C.

x < 3 or x > 5

D.

x > 3 or x < -5

View Answer

67ca00ce0c643c71d77dee1f 2011
328

In a class of 60 students, 30 offers physics and 40 offers chemistry. If a students is picked at random from the class, what is the probability that the student offer both physics and Chemistry?

A.

1/2

B.

1/6

C.

1/4

D.

1/3

View Answer

67ca00ce0c643c71d77dee1f 2011
329

Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).

A.

5y - 2x -18 = 0

B.

5y + 2x - 18 = 0

C.

5y - 2x + 18 = 0

D.

5y + 2x - 2 = 0

View Answer

67ca00ce0c643c71d77dee1f 2011
330

The seconds term of a geometric series is 4 while the fourth term is 16. Find the sum of the first five terms

A.

60

B.

62

C.

54

D.

64

View Answer

67ca00ce0c643c71d77dee1f 2011
331

In how many was can the letters of the word ELATION be arranged?

A.

6!

B.

7!

C.

5!

D.

8!

View Answer

67ca00ce0c643c71d77dee1f 2011
332

Find ∫ cos4 x dx

A.

3/4 sin 4x + k

B.

-1/4 sin 4x + k

C.

-3/4 sin 4x + k

D.

1/4 sin 4x + k

View Answer

67ca00ce0c643c71d77dee1f 2011
333

Find the derivative of sinθ/cosθ

A.

sec2 θ

B.

tan θ cosec θ

C.

cosec θ sec θ

D.

cosec2θ

View Answer

67ca00ce0c643c71d77dee1f 2011
334

The sum of four consecutive integers is 34. Find the least of these numbers

A.

7

B.

6

C.

8

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2011
335

The pie chart shows the distribution of courses offered by students. What percentage of the students offer English?

A.

30%

B.

25%

C.

35%

D.

20%

View Answer

67ca00ce0c643c71d77dee1f 2011
336

If 2q35 = 778 , find q

A.

2

B.

1

C.

4

D.

0

View Answer

67ca00ce0c643c71d77dee1f 2011
337

The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.

A.

(2, 10)

B.

(2, 8)

C.

(2, 12)

D.

(2, 6)

View Answer

67ca00ce0c643c71d77dee1f 2011
338

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msqrt> <mn>2</mn> </msqrt> <mo>+</mo> <mfrac> <mn>1</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <msqrt> <mn>2</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> </math>

Simplify √2+1/√3)(√2-1/√3

A.

7/3

B.

5/3

C.

5/2

D.

3/2

View Answer

67ca00ce0c643c71d77dee1f 2011
339

If the numbers M, N, Q are in the ratio 5:4:3, find the value of 2N−Q/M

A.

2

B.

3

C.

1

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2011
340

What is the size of each interior angle of a 12-sided regular polygon?

A.

120°

B.

150°

C.

30°

D.

180°

View Answer

67ca00ce0c643c71d77dee1f 2011
341

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> </mtr> <mtr> <mtd> <mn>5</mn> </mtd> <mtd> <mn>3</mn> <mi>x</mi> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </math>

If ∣∣∣2533x∣∣∣ = ∣∣∣4312x∣∣∣ , find the value of x.

A.

-6

B.

6

C.

-12

D.

12

View Answer

67ca00ce0c643c71d77dee1f 2011
342

The derivatives of (2x + 1)(3x + 1) is

A.

12x + 1

B.

6x + 5

C.

6x + 1

D.

12x + 5

View Answer

67ca00ce0c643c71d77dee1f 2011
343

A man invested N5,000 for 9 months at 4%. What is the simple interest?

A.

N150

B.

N220

C.

N130

D.

N250

View Answer

67ca00ce0c643c71d77dee1f 2011
344

Find the sum of the first 18 terms of the series 3, 6, 9,..., 36.

A.

505

B.

513

C.

433

D.

635

View Answer

67ca00ce0c643c71d77dee1f 2011
345

If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1(7/9)

A.

20(1/4)

B.

27

C.

2(1/4)

D.

36

View Answer

67ca00ce0c643c71d77dee1f 2011
346

Find the value of x at the minimum point of the curve y = x3 + x2 - x + 1

A.

1/3

B.

1/3

C.

1

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2011
347

Factorize completely 9y2 - 16X2

A.

(3y - 2x)(3y + 4x)

B.

(3y + 4x)(3y + 4x)

C.

(3y + 2x)(3y - 4x)

D.

(3y - 4x)(3y + 4x)

View Answer

67ca00ce0c643c71d77dee1f 2011
348

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>4</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>3</mn> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </math>

Evaluate ∣∣∣∣42−1231−1−13∣∣∣∣

A.

25

B.

45

C.

15

D.

55

View Answer

67ca00ce0c643c71d77dee1f 2011
349

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid" columnlines="solid"> <mtr> <mtd> <mi>C</mi> <mi>l</mi> <mi>a</mi> <mi>s</mi> <mi>s</mi> <mi>I</mi> <mi>n</mi> <mi>t</mi> <mi>e</mi> <mi>r</mi> <mi>v</mi> <mi>a</mi> <mi>l</mi> <mi>s</mi> </mtd> <mtd> <mn>0</mn> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mtd> <mtd> <mn>3</mn> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> </mtd> <mtd> <mn>6</mn> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> </mtd> <mtd> <mn>9</mn> <mo>&#x2212;<!-- − --></mo> <mn>11</mn> </mtd> <mtd /> </mtr> <mtr> <mtd> <mi>F</mi> <mi>r</mi> <mi>e</mi> <mi>q</mi> <mi>u</mi> <mi>e</mi> <mi>n</mi> <mi>c</mi> <mi>y</mi> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>5</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd /> </mtr> </mtable> </math>

ClassIntervalsFrequency0−233−526−859−113 Find the mode of the above distribution.

A.

9

B.

8

C.

10

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2011
350

In a right angled triangle, if tan θ = 3/4. What is cosθ - sinθ?

A.

2/3

B.

3/5

C.

1/5

D.

4/5

View Answer

67ca00ce0c643c71d77dee1f 2011
351

The perpendicular bisector of a line XY is the locus of a point

A.

whose distance from X is always twice its distance from Y

B.

whose distance from Y is always twice its distance from X.

C.

which moves on the line XY

D.

which is equidistant from the points X and Y

View Answer

67ca00ce0c643c71d77dee1f 2011
352

From the venn diagram above, the complement of the set P∩ Q is given by

A.

{a, b, d, e}

B.

{b, d}

C.

{a, e}

D.

{c}

View Answer

67ca00ce0c643c71d77dee1f 2011
353

A binary operation ⊕ on real numbers is defined by x ⊕ y = xy + x + y for two real numbers x and y. Find the value of 3 ⊕ -2/3 .

A.

- 1/2

B.

1/3

C.

-1

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2011
354

Solve for x and y respectively in the simultaneous equations -2x - 5y = 3. x + 3y = 0

A.

-3, -9

B.

9, -3

C.

-9,3

D.

3, -9

View Answer

67ca00ce0c643c71d77dee1f 2011
355

A chord of circle of radius 7cm is 5cm from the centre of the circle.What is the length of the chord?

A.

4√6 cm

B.

3√6 cm

C.

. 6√6 cm

D.

2√6 cm

View Answer

67ca00ce0c643c71d77dee1f 2011
356

A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z. Find the bearing of X from Z.

A.

195°

B.

135°

C.

225°

D.

045°

View Answer

67ca00ce0c643c71d77dee1f 2011
357

If log318 + log33 - log3x = 3, Find x.

A.

1

B.

2

C.

0

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2011
358

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>3</mn> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>5</mn> <mn>6</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <mrow> <mfrac> <mn>11</mn> <mn>15</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>27</mn> </mfrac> </mrow> </mfrac> </math>

simolify (3 (2/3) × 5/6 ×2/3)/(11/15 × 3/4 × 2/27)

A.

5(2/3)

B.

30

C.

4(1/2)

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2011
359

Find dy/dx if y = cosx .

A.

sinx

B.

−sinx

C.

tanx

D.

−tanx

View Answer

67ca00ce0c643c71d77dee1f 2012
360

Make 'n' the subject of the formula if w = v(2+cn)/(1−cn)

A.

1/c(w−2/vv+w)

B.

1/c(w−2/vv−w)

C.

1/c(w+2/vv−w)

D.

1/c(w+2/vv+w)

View Answer

67ca00ce0c643c71d77dee1f 2012
361

Find the remainder when 2x3 - 11x2 + 8x - 1 is divided by x + 3

A.

-871

B.

-781

C.

-187

D.

-178

View Answer

67ca00ce0c643c71d77dee1f 2012
362

The binary operation * is defined on the set of integers such that p * q = pq + p - q. Find 2 * (3 * 4)

A.

11

B.

13

C.

15

D.

22

View Answer

67ca00ce0c643c71d77dee1f 2012
363

Find the median of 2,3,7,3,4,5,8,9,9,4,5,3,4,2,4 and 5

A.

9

B.

8

C.

7

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2012
364

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2012
365

Find the equation of the line through the points (-2, 1) and (-1/2, 4)

A.

y = 2x - 3

B.

y = 2x + 5

C.

y = 3x - 2

D.

y = 2x + 1

View Answer

67ca00ce0c643c71d77dee1f 2012
366

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> <mi>y</mi> <mo>+</mo> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> <mo>&lt;</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>y</mi> <mo>+</mo> <mfrac> <mn>2</mn> <mn>5</mn> </mfrac> </math>

The value of y for which 1/5y + 1/5 < 1/2y + 2/5 is

A.

y > 2/3

B.

y < 2/3

C.

y > −2/3

D.

y < −2/3

View Answer

67ca00ce0c643c71d77dee1f 2012
367

Find the range of values of m which satisfy (m - 3)(m - 4) < 0

A.

2 < m < 5

B.

-3 < m < 4

C.

3 < m < 4

D.

-4 < m < 3

View Answer

67ca00ce0c643c71d77dee1f 2012
368

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P ∩ Q

A.

{3}

B.

{2,3}

C.

{2,3,5}

D.

{1,2}

View Answer

67ca00ce0c643c71d77dee1f 2012
369

U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3

A.

24

B.

27

C.

32

D.

36

View Answer

67ca00ce0c643c71d77dee1f 2012
370

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>2</mn> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mn>1</mn> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow> <mn>4</mn> <mfrac> <mn>4</mn> <mn>5</mn> </mfrac> </mrow> </mfrac> </math>

Simply {2(2/3)×1(1/2)}/4(4/5)

A.

1(1/4)

B.

1(1/6)

C.

5/6

D.

4/5

View Answer

67ca00ce0c643c71d77dee1f 2012
371

Solve for x and y in the equations below x2 - y2 = 4 x + y = 2

A.

x = 0, y = -2

B.

x = 0, y = 2

C.

x = 2, y = 0

D.

x = -2, y = 0

View Answer

67ca00ce0c643c71d77dee1f 2012
372

Simplify (√6+2)2 −(√6−2)2

A.

2√6

B.

4√6

C.

8√6

D.

16√6

View Answer

67ca00ce0c643c71d77dee1f 2012
373

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

A.

24°

B.

30°

C.

33°

D.

36°

View Answer

67ca00ce0c643c71d77dee1f 2012
374

Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.

A.

3.92cm3

B.

2.13cm3

C.

1.97cm3

D.

1.62cm3

View Answer

67ca00ce0c643c71d77dee1f 2012
375

In how many ways can the letters of the word TOTALITY be arranged?

A.

6720

B.

6270

C.

6207

D.

6027

View Answer

67ca00ce0c643c71d77dee1f 2012
376

The nth term of a sequence is n2 - 6n - 4. Find the sum of the 3rd and 4th terms

A.

24

B.

23

C.

-24

D.

-25

View Answer

67ca00ce0c643c71d77dee1f 2012
377

Find the area of the trapezium above.

A.

91 cm2

B.

78 cm2

C.

60 cm2

D.

19 cm2

View Answer

67ca00ce0c643c71d77dee1f 2012
378

The probability that a student passes a physics test is 2/3. If he takes three physics tests, what is the probability that he passes two of the tests?

A.

2/27

B.

3/27

C.

4/27

D.

5/3

View Answer

67ca00ce0c643c71d77dee1f 2012
379

Evaluate ∫π/4, 0sec2θdθ

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2012
380

If angle θ is 135°, evaluate cosθ

A.

1/2

B.

√2/2

C.

−√2/2

D.

−1/2

View Answer

67ca00ce0c643c71d77dee1f 2012
381

If y = x2 - 1/x, find δy/δx

A.

2x - 1/x2

B.

2x + x2

C.

2x - x2

D.

2x + 1x2

View Answer

67ca00ce0c643c71d77dee1f 2012
382

A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

A.

30π cm2

B.

60π cm2

C.

120π cm2

D.

150π cm2

View Answer

67ca00ce0c643c71d77dee1f 2012
383

Convert 1126 to a number in base three

A.

2211

B.

2121

C.

1212

D.

1122

View Answer

67ca00ce0c643c71d77dee1f 2012
384

Evaluate 21/9 to 3 significant figures

A.

2.30

B.

2.31

C.

2.32

D.

2.33

View Answer

67ca00ce0c643c71d77dee1f 2012
385

A man earns N3,500 per month out of which he spends 15% on his children's education. If he spends additional N1,950 on food, how much does he have left?

A.

N525

B.

N1,025

C.

N1,950

D.

N2,975

View Answer

67ca00ce0c643c71d77dee1f 2012
386

The binary operation on the set of real numbers is defined by m*n = mn/2 for all m, n ∈ R. If the identity element is 2, find the inverse of -5

A.

−4/5

B.

−2/5

C.

4

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2012
387

The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is

A.

1/2

B.

2/5

C.

-4/7

D.

-2/3

View Answer

67ca00ce0c643c71d77dee1f 2012
388

If y varies directly as √n and y = 4 when n = 4, find y when n = 1(7/9)

A.

√17

B.

4/3

C.

8/3

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2012
389

The shaded region above is represented by the equation

A.

y ≤ 4x + 2

B.

y ≥ 4x + 2

C.

y ≤ -4x + 4

D.

y ≤ 4x + 4

View Answer

67ca00ce0c643c71d77dee1f 2012
390

Find the range of 4,9,6,3,2,8,10 and 11

A.

11

B.

9

C.

8

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2012
391

The mean of seven numbers is 96. If an eighth number is added, the mean becomes 112. Find the eighth number.

A.

126

B.

180

C.

216

D.

224

View Answer

67ca00ce0c643c71d77dee1f 2012
392

A man stands on a tree 150 cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

A.

52 cm

B.

43 cm

C.

40 cm

D.

15 cm

View Answer

67ca00ce0c643c71d77dee1f 2012
393

Given that I3 is a unit matrix of order 3, find |I3 |

A.

-1

B.

0

C.

1

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2012
394

Evaluate ∫2 1 (x2 −4x)dx

A.

11/3

B.

3/11

C.

-3/11

D.

-11/3

View Answer

67ca00ce0c643c71d77dee1f 2012
395

Evaluate n+1Cn-2 If n =15

A.

3630

B.

3360

C.

1120

D.

560

View Answer

67ca00ce0c643c71d77dee1f 2012
396

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid solid solid solid solid solid" columnlines="solid"> <mtr> <mtd> <mi>x</mi> </mtd> <mtd> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mi>&#x03F0;<!-- ϰ --></mi> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mi>&#x03F0;<!-- ϰ --></mi> <msup> <mo stretchy="false">)</mo> <mn>2</mn> </msup> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> </mtd> <mtd> <mn>25</mn> </mtd> </mtr> <mtr> <mtd> <mn>3</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> </mtd> <mtd> <mn>16</mn> </mtd> </mtr> <mtr> <mtd> <mn>8</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>10</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>9</mn> </mtd> </mtr> <mtr> <mtd> <mn>12</mn> </mtd> <mtd> <mn>5</mn> </mtd> <mtd> <mn>25</mn> </mtd> </mtr> <mtr> <mtd /> <mtd /> <mtd> <mn>76</mn> </mtd> </mtr> </mtable> </math>

Find the standard deviation of 2,3,8,10 and 12

A.

3.9

B.

4.9

C.

5.9

D.

6.9

View Answer

67ca00ce0c643c71d77dee1f 2012
397

The probabilities that a man and his wife live for 80 years are 2/3 and 3/5 respectively. Find the probability that at least one of them will live up to 80 years

A.

2/15

B.

3/15

C.

7/15

D.

13/15

View Answer

67ca00ce0c643c71d77dee1f 2012
398

The bar chart above shows the distribution of marks in a class test. If the pass mark is 5, what percentage of students failed the test?

A.

10%

B.

20%

C.

50%

D.

60%

View Answer

67ca00ce0c643c71d77dee1f 2012
399

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msqrt> <msup> <mi>t</mi> <mn>2</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mi>t</mi> <mo>+</mo> <mn>4</mn> </msqrt> </math>

If S = √(t2-4t+4), find t in terms of s

A.

S2 - 2

B.

S + 2

C.

S - 2

D.

S2 + 2

View Answer

67ca00ce0c643c71d77dee1f 2013
400

P, Q and R are subsets of the universal set U. The Venn diagram showing the relationship (P∩Q)∪R is

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2013
401

What is the coordinate of centre of the circle X2+y2+2x-4y =10?

A.

(-1,-2)

B.

( 1, 2)

C.

(-1, 2)

D.

(1, -2)

View Answer

POST UTME 2013
402

The graph above is correctly represented by

A.

y = x2 - x - 2

B.

y = x2 - 3x + 2

C.

y = x2 - x - 1

D.

y = x2 + x - 2

View Answer

67ca00ce0c643c71d77dee1f 2013
403

Solve for x: |x - 2| < 3

A.

x < 5

B.

-2 < x < 3

C.

-1 < x < 5

D.

x < 1

View Answer

67ca00ce0c643c71d77dee1f 2013
404

A square tile has side 30 cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A.

720

B.

336

C.

420

D.

576

View Answer

67ca00ce0c643c71d77dee1f 2013
405

Evaluate 1.25×0.025/0.05 , correct to 1 decimal place

A.

0.6

B.

6.2

C.

6.3

D.

0.5

View Answer

67ca00ce0c643c71d77dee1f 2013
406

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>2</mn> </mfrac> </mrow> </msubsup> <mi>sin</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>x</mi> </math>

0 (π/2)〖sin⁡xdx〗

A.

-2

B.

2

C.

1

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2013
407

Calculate the median age of the frequency distribution in the table above

A.

25

B.

30

C.

35

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2013
408

If the variance of 3+x, 6, 4, x and 7-x is 4 and the mean is 5, find the standard deviation

A.

√3

B.

2

C.

3

D.

√2

View Answer

67ca00ce0c643c71d77dee1f 2013
409

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

A.

8√3 cm

B.

4 cm

C.

8 cm

D.

8√2 cm

View Answer

67ca00ce0c643c71d77dee1f 2013
410

If y = (2x + 2)3, find δy/δx

A.

3(2x +2)2

B.

6(2x +2)

C.

3(2x +2)

D.

. 6(2x +2)2

View Answer

67ca00ce0c643c71d77dee1f 2013
411

If are the roots of equation 6 +5x –x2 =0, find x

A.

11

B.

-11

C.

1

D.

-1

View Answer

POST UTME 2013
412

The value x in the figure given is

A.

110°

B.

100°

C.

70°

D.

130°

View Answer

67ca00ce0c643c71d77dee1f 2013
413

The radius of a circle is increasing at the rate of 0.02cms-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.

A.

0.75cm2S-1

B.

0.53cm2,S-1

C.

0.35cm2S-1

D.

0.88cm2S-1

View Answer

67ca00ce0c643c71d77dee1f 2013
414

The table above shows the scores of 20 students in further mathematics test. What is the range of the distribution?

A.

7

B.

6

C.

3

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2013
415

Differentiate sin (2x-5) with respect to x.

A.

cos (2x-5)

B.

–cos (2x-5)

C.

2cos (2x-5)

D.

-2cos (2x-5)

View Answer

POST UTME 2013
416

If r varies inversely as the square root of s and t, how does s vary with r and t?

A.

s varies inversely as r and t2

B.

s varies inverely as r2 and t

C.

s varies directly as r2 and t2

D.

s varies directly as r and t

View Answer

67ca00ce0c643c71d77dee1f 2013
417

Solve the equation = 25x+4

A.

-4, 2

B.

-4,-2

C.

4, -2

D.

4, 2

View Answer

POST UTME 2013
418

Solve the equation 3x+1 = 271-x

A.

1/2

B.

-1/2

C.

3/4

D.

-3/4

View Answer

POST UTME 2013
419

What is the 15th term of the sequence -3, 2,7,…?

A.

65

B.

66

C.

68

D.

67

View Answer

POST UTME 2013
420

Find the mean of t + 2, 2t - 4, 3t + 2 and 2t.

A.

t + 1

B.

2t

C.

2t + 1

D.

t

View Answer

67ca00ce0c643c71d77dee1f 2013
421

If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.

A.

66°

B.

12°

C.

30°

D.

42°

View Answer

67ca00ce0c643c71d77dee1f 2013
422

A chord of a circle subtends an angle of 120° at the centre of a circle of diameter 4√3cm . Calculate the area of the major sector.

A.

32πcm2

B.

4π cm2

C.

8π cm2

D.

16π cm2

View Answer

67ca00ce0c643c71d77dee1f 2013
423

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msqrt> <mn>5</mn> </msqrt> <mo stretchy="false">(</mo> <msqrt> <mn>147</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>12</mn> </msqrt> </mrow> <msqrt> <mn>15</mn> </msqrt> </mfrac> </math>

Simplify (√5(√147-√12)/√15

A.

5

B.

1/5

C.

1/9

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2013
424

Given f(x) =3+x and g(x) =3-x, find g (f(x))

A.

6

B.

x

C.

-x

D.

0

View Answer

POST UTME 2013
425

The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16 and 18, find the mode.

A.

6

B.

8

C.

14

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2013
426

if P = {x:x is odd, −1

A.

{3,5,7,11,17,19}

B.

{3,5,11,13,17,19}

C.

{3,5,7,11,13,17,19}

D.

{2,3,5,7,11,13,17,19}

View Answer

67ca00ce0c643c71d77dee1f 2013
427

Find the equation of the perpendicular bisector of the line joining P(2, -3) to Q(-5, 1)

A.

8y + 14x + 13 = 0

B.

8y - 14x + 13 = 0

C.

8y - 14x - 13 = 0

D.

8y + 14x - 13 = 0

View Answer

67ca00ce0c643c71d77dee1f 2013
428

In the diagram given, find the value of x.

A.

30°

B.

40°

C.

45°

D.

15°

View Answer

67ca00ce0c643c71d77dee1f 2013
429

The bar chart above shows the allotment of time(in minutes) per week for selected subjects in a certain school. What is the total time allocated to the six subjects per week?

A.

460mins

B.

720mins

C.

960mins

D.

200mins

View Answer

67ca00ce0c643c71d77dee1f 2013
430

P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = 8/5

A.

12(8/5)

B.

15

C.

10

D.

28(8/5)

View Answer

67ca00ce0c643c71d77dee1f 2013
431

3 girls share a number of apples in the ration 5:3:2. If the highest share is 40 apples, find the smallest share

A.

36

B.

24

C.

16

D.

38

View Answer

67ca00ce0c643c71d77dee1f 2013
432

What is the probability that an integer x (1≤x≤25) chosen at random is divisible by both 2 and 3?

A.

1/25

B.

1/5

C.

4/25

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2013
433

If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.

A.

(8,6)

B.

(5,6)

C.

(0,4)

D.

(6,5)

View Answer

67ca00ce0c643c71d77dee1f 2013
434

If log10 4 = 0.6021, evaluate log10 41/3

A.

0.3011

B.

0.9021

C.

1.8063

D.

0.2007

View Answer

67ca00ce0c643c71d77dee1f 2013
435

In triangle PQR, q = 8 cm, r = 6 cm and cos P = 1/12 Calculate the value of

A.

√108 cm

B.

9 cm

C.

√92 cm

D.

10 cm

View Answer

67ca00ce0c643c71d77dee1f 2013
436

Solve 4x2 +20x -24 =0

A.

1, 6

B.

-1, -6

C.

6, -1

D.

-6, 1

View Answer

POST UTME 2013
437

In how many ways can a student select 2 subjects from 5 subjects?

A.

5!/3!

B.

5!/2!2!

C.

5!/2!3!

D.

5!/2!

View Answer

67ca00ce0c643c71d77dee1f 2013
438

The remainder when 6p3 - p2 - 47p + 30 is divided by p - 3 is

A.

21

B.

42

C.

63

D.

18

View Answer

67ca00ce0c643c71d77dee1f 2013
439

In how many ways can a team of 3 girls be selected from 7 girls?

A.

7!/3!

B.

7!/4!

C.

7!/3!4!

D.

7!/3!4!

View Answer

67ca00ce0c643c71d77dee1f 2014
440

Evaluate ∫(2x+3)(1/2) δx

A.

1/12(2x+3)6 +k

B.

1/3(2x+3)(1/2) +k

C.

1/3(2x+3)3/2 +k

D.

1/12(2x+3)3/4 +k

View Answer

67ca00ce0c643c71d77dee1f 2014
441

If sin θ=12/13 , find the value of 1 + cos θ

A.

25/13

B.

18/13

C.

8/13

D.

5/13

View Answer

67ca00ce0c643c71d77dee1f 2014
442

The pie chart above shows the monthly distribution of a man's salary on food items. If he spent N8,000 on rice, how much did he spent on yam?

A.

N42,000

B.

N18,000

C.

N16,000

D.

N12,000

View Answer

67ca00ce0c643c71d77dee1f 2014
443

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.

A.

89

B.

75

C.

73

D.

69

View Answer

67ca00ce0c643c71d77dee1f 2014
444

Find the value of x in the figure above

A.

20√3cm

B.

10√3cm

C.

5√3cm

D.

4√3cm

View Answer

67ca00ce0c643c71d77dee1f 2014
445

What is the solution of x−5/x+3 <−1?

A.

=-3 < x < 1

B.

x < -3 or x > 1

C.

-3 < x < 5

D.

x < -3 or x > 5

View Answer

67ca00ce0c643c71d77dee1f 2014
446

The gradient of a line joining (x,4) and (1,2) is 1/2 . Find the value of x

A.

5

B.

3

C.

-3

D.

-5

View Answer

67ca00ce0c643c71d77dee1f 2014
447

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>2</mn> <msqrt> <mn>2</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>3</mn> </msqrt> </mrow> <mrow> <msqrt> <mn>2</mn> </msqrt> <mo>+</mo> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> </math>

Simplify (2√2-√3)/(√2+√3)

A.

3√6-7

B.

3√6-+7

C.

3√6-1

D.

3√6+1

View Answer

67ca00ce0c643c71d77dee1f 2014
448

Find the value of ∣∣∣∣010375284∣∣∣∣ .

A.

12

B.

10

C.

-1

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2014
449

The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?

A.

1/5

B.

1/2

C.

2/5

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2014
450

in the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?

A.

y = x + 5

B.

y = -x + 5

C.

y = x - 5

D.

y = -x - 5

View Answer

67ca00ce0c643c71d77dee1f 2014
451

Solve for x in 8x-2 = 2/25

A.

4

B.

6

C.

8

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2014
452

P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.

A.

P = Q/12R

B.

P = 12Q/R

C.

P=12QR

D.

P = 12/QR

View Answer

67ca00ce0c643c71d77dee1f 2014
453

A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?

A.

N40,500

B.

N45,000

C.

N52,500

D.

N62,000

View Answer

67ca00ce0c643c71d77dee1f 2014
454

What is the common ratio of the G.P. (√10 + √5) + (√10 +2√5) +...?

A.

√2

B.

√5

C.

3

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2014
455

From the venn diagram above, the shaded parts represent

A.

(P∩Q)∪(P∩R)

B.

(P∪Q)∩(P∩R)

C.

(P∪Q)∪(P∪R)

D.

(P∩Q)∪(P∪R)

View Answer

67ca00ce0c643c71d77dee1f 2014
456

The locus of a dog tethered to a pole with a rope of 4m is a

A.

semi-circle with diameter 4m

B.

semi-circle with radius 4m

C.

circle with diameter 4m

D.

circle with radius 4m

View Answer

67ca00ce0c643c71d77dee1f 2014
457

Factorize 2y2 - 15xy + 18x2

A.

(2y - 3x) (y + 6x)

B.

(2y - 3x) (y - 6x)

C.

(2y + 3x) (y - 6x)

D.

(3y + 2x) (y - 6x)

View Answer

67ca00ce0c643c71d77dee1f 2014
458

A number is chosen at random from 10 to 30 both inclusive. What is the probability that the number is divisible by 3?

A.

2/15

B.

1/10

C.

1/3

D.

2/5

View Answer

67ca00ce0c643c71d77dee1f 2014
459

From the figure above, what is the value of p?

A.

135°

B.

90°

C.

60°

D.

45°

View Answer

67ca00ce0c643c71d77dee1f 2014
460

If log7.5 = 0.8751, evaluate 2 log75 + log750

A.

6.6252

B.

6.6253

C.

66.252

D.

66.253

View Answer

67ca00ce0c643c71d77dee1f 2014
461

Evaluate ∫sin2xdx

A.

cos 2x + k

B.

1/2cos 2x + k

C.

−1/2 cos 2x + k

D.

-cos 2x + k

View Answer

67ca00ce0c643c71d77dee1f 2014
462

y varies directly as w2. When y = 8, w = 2. Find y when w = 3

A.

18

B.

12

C.

9

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2014
463

If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. [Take π=22/7]

A.

48 cm

B.

40 cm

C.

43 cm

D.

45 cm

View Answer

67ca00ce0c643c71d77dee1f 2014
464

The mean of 2 - t, 4 + t, 3 - 2t, 2 + t and t - 1 is

A.

t

B.

-t

C.

2

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2014
465

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid none none none none solid" columnlines="solid"> <mtr> <mtd> <mi>x</mi> </mtd> <mtd> <mi>d</mi> <mo>=</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> </mtd> <mtd> <msup> <mi>d</mi> <mn>2</mn> </msup> </mtd> </mtr> <mtr> <mtd> <mn>5</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mn>4</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>3</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd /> <mtd /> <mtd> <mo>&#x2211;<!-- ∑ --></mo> <msup> <mi>d</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>10</mn> </mtd> </mtr> </mtable> </math>

Find the standard deviation of 5, 4, 3, 2, 1

A.

√2

B.

√3

C.

√6

D.

√10

View Answer

67ca00ce0c643c71d77dee1f 2014
466

A cylindrical tank has a capacity of 6160m3. What is the depth of the tank if the radius of its base is 28cm?

A.

8.0m

B.

7.5m

C.

5.0m

D.

2.5m

View Answer

67ca00ce0c643c71d77dee1f 2014
467

Find y, if (52−6−7)(xy)=(7−11)

A.

8

B.

5

C.

3

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2014
468

Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6

A.

6

B.

5

C.

4

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2014
469

If y = 4x3 - 2x2 + x, find δy/δx

A.

8x2 - 2x + 1

B.

8x2 - 4x + 1

C.

12x2 - 2x + 1

D.

12x2 - 4x + 1

View Answer

67ca00ce0c643c71d77dee1f 2014
470

Find the value of 1101112 + 101002

A.

11010112

B.

10010012

C.

10010112

D.

10011112

View Answer

67ca00ce0c643c71d77dee1f 2014
471

How many sides has a regular polygon whose interior angle is 135°?

A.

12

B.

10

C.

9

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2014
472

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mi>x</mi> <mn>2</mn> </mfrac> <mo>+</mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> <mo>&#x2264;<!-- ≤ --></mo> <mfrac> <mrow> <mn>5</mn> <mi>x</mi> </mrow> <mn>6</mn> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>7</mn> <mn>12</mn> </mfrac> </math>

Evaluate the inequality x/2+3/4≤ 5x/6 − 7/12

A.

x≥4

B.

x≤3

C.

x≥−3

D.

x≤−4

View Answer

67ca00ce0c643c71d77dee1f 2014
473

In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54o and angle MKN is 35°, calculate the size of angle KMN.

A.

91°

B.

89°

C.

37°

D.

19°

View Answer

67ca00ce0c643c71d77dee1f 2014
474

Find the value of k if y - 1 is a factor of y3 + 4y2 + ky - 6

A.

-6

B.

-4

C.

O

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2014
475

A binary operation * is defined by x * y = xy. If x * 2 = 12 - x, find the possible values of x

A.

3,4

B.

3,-4

C.

-3,4

D.

-3,-4

View Answer

67ca00ce0c643c71d77dee1f 2014
476

Find the mode of the distribution above

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2014
477

If ∣∣∣−x−1124∣∣∣=−12 , find x.

A.

-6

B.

-2

C.

3

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2014
478

Find the value of x if [1÷64(x+2)] = [4(x−3) ÷16x]

A.

3/2

B.

2/3

C.

1/3

D.

-3/2

View Answer

67ca00ce0c643c71d77dee1f 2015
479

Evaluate log5(y2x5÷125b½)

A.

2 log5y + 5log5 y2 − 3

B.

log5 y2 + 5log5 x + 3

C.

25logy 5 + 3

D.

2log5y + 5log5x − ½ log5b −3

View Answer

67ca00ce0c643c71d77dee1f 2015
480

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid none" columnlines="solid"> <mtr> <mtd> <mn>6</mn> </mtd> <mtd> <mn>159</mn> </mtd> </mtr> <mtr> <mtd> <mn>6</mn> </mtd> <mtd> <mn>26</mn> <mtext>&#xA0;rem 3</mtext> </mtd> </mtr> <mtr> <mtd> <mn>6</mn> </mtd> <mtd> <mn>4</mn> <mtext>&#xA0;rem 2</mtext> </mtd> </mtr> <mtr> <mtd /> <mtd> <mn>0</mn> <mtext>&#xA0;rem 4</mtext> </mtd> </mtr> </mtable> <mo stretchy="false">&#x2191;<!-- ↑ --></mo> </math>

If (159.75)10 = (x)6. Find x

A.

x6 = 123.346

B.

x6 = 424.56

C.

x66 = 122.436

D.

x6 = 124.4566

View Answer

67ca00ce0c643c71d77dee1f 2015
481

X and Y are two sets such that n(X) = 15, n(Y) = 12 and n{X ∩ Y} = 7. Find ∩{X ∪ Y}

A.

21

B.

22.5

C.

15

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2015
482

Find the simple interest on N325 in 5years at 3% per annum.

A.

N48.75K

B.

N50.10K

C.

N75.50K

D.

N15.75K

View Answer

67ca00ce0c643c71d77dee1f 2015
483

The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both

A.

2/15

B.

3/4

C.

9/15

D.

1/15

View Answer

67ca00ce0c643c71d77dee1f 2015
484

The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms

A.

nth = 3

B.

nth = 4

C.

nth = 5

D.

nth = 6

View Answer

67ca00ce0c643c71d77dee1f 2015
485

One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue

A.

2/15

B.

3/24

C.

3/21

D.

3/28

View Answer

67ca00ce0c643c71d77dee1f 2015
486

Determine the third term of a geometrical progression whose first and second term are 2 and 54 respectively

A.

1458

B.

1485

C.

1345

D.

1258

View Answer

67ca00ce0c643c71d77dee1f 2015
487

Find x if 132x = 70 eight .

A.

5

B.

3

C.

6

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2015
488

Given that A = {1, 5, 7} B = {3, 9, 12, 15} C = {2, 4, 6, 8} Find (A ∪ B) ∪ C

A.

{1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}

B.

{1, 2, 3, 5, 6, 8, 12, 15}

C.

{2, 4, 5, 9, 12, 15}

D.

{1, 5, 6, 7, 8, 9, 12, 15}

View Answer

67ca00ce0c643c71d77dee1f 2015
489

The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

A.

2

B.

1

C.

0

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2015
490

The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?

A.

1/2

B.

1/3

C.

2/5

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2015
491

Find the x and z intercepts of the graph of 3x - z ≤ 9

A.

(3, -9)

B.

(-3, 9)

C.

(-3, -9)

D.

(-3, 0)

View Answer

67ca00ce0c643c71d77dee1f 2015
492

Make x the subject of the equation s = 2 + t/5(x + ⅗y)

A.

x = 5[(s − 2) ÷ t] - 3/5y

B.

x = 25[(s − 2) ÷ t] − 3ty

C.

x = [1 ÷ (s − 2)3ty]

D.

x = [5(s − 2) 2 ÷ 3ty] × t

View Answer

67ca00ce0c643c71d77dee1f 2015
493

Simplify [1÷(x2 + 3x + 2)]+[1 ÷ (x2 + 5x + 6)]

A.

2/(x+1)2

B.

2/(x+1)(x+2)

C.

2(x+1)(x+2)

D.

2(x+1)(x+3)

View Answer

67ca00ce0c643c71d77dee1f 2015
494

Simplify 1¼ ÷ (2 ÷ ¼ of 28)

A.

1 (3/8)

B.

2 (3/4)

C.

4 (3/8)

D.

3 (1/5)

View Answer

67ca00ce0c643c71d77dee1f 2015
495

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>x</mi> <mo>=</mo> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mi>b</mi> <mo>&#x00B1;<!-- ± --></mo> <msqrt> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mi>a</mi> <mi>c</mi> </msqrt> </mrow> <mrow> <mn>2</mn> <mi>a</mi> </mrow> </mfrac> </math>

Solve the equation 3x2 − 4x − 5 = 0

A.

x = 1.75 or − 0.15

B.

x = 2.12 or − 0.79

C.

x = 1.5 or − 0.34

D.

x = 2.35 or −1.23

View Answer

67ca00ce0c643c71d77dee1f 2015
496

A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?

A.

N410,000

B.

N365, 217

C.

N157, 250

D.

N257,000

View Answer

67ca00ce0c643c71d77dee1f 2015
497

The area of an ellipse is 132cm2.The length of its major axis is 14cm.Find the length of it minor axis

A.

10.5cm

B.

5cm

C.

10cm

D.

3cm

View Answer

67ca00ce0c643c71d77dee1f 2015
498

Simplify log10 1.5 + 3 log10 2 − log10 0.3

A.

log104

B.

log1040

C.

log10-40

D.

log104-

View Answer

67ca00ce0c643c71d77dee1f 2015
499

If x + y = 90 simplify (sinx+siny)2 −2sinxsiny

A.

1

B.

0

C.

2

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2015
500

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mn>1</mn> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </math>

Simplify 1/(x+1) + 1/(x−1)

A.

2x/(x + 1)(x−3)

B.

2x/(x + 1)(x−1)

C.

2x/(x + 1)2

D.

2x(x+1)2

View Answer

67ca00ce0c643c71d77dee1f 2015
501

Simplify 6(1/12) − 2¾ + 1½

A.

3(5/6)

B.

4(5/6)

C.

2(1/6)

D.

1/3

View Answer

67ca00ce0c643c71d77dee1f 2015
502

Simplify (0.09)2 and give your answer correct to 4 significant figures

A.

0.81

B.

0.081

C.

0.0081

D.

8.0001

View Answer

67ca00ce0c643c71d77dee1f 2015
503

A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much income tax expenses does he pay each year?

A.

15

B.

50

C.

70

D.

25

View Answer

67ca00ce0c643c71d77dee1f 2015
504

Factorize x2 −2x−15

A.

(x + 3)2

B.

(x + 5)(x − 3)

C.

(x − 5)2

D.

(x − 5)(x + 3)

View Answer

67ca00ce0c643c71d77dee1f 2015
505

Integral ∫(5x3 + 7x2 − 2x +5) dx

A.

5x4 /4 + 7x3 /3 + 2x + C

B.

5x4 /4 + 7x3 /3 − x2 + 5x + C

C.

5x3 /3 + 7x2 /x − x + C

D.

2x2 /3 + x/5 − C

View Answer

67ca00ce0c643c71d77dee1f 2015
506

Find the equation of a line which is form origin and passes through the point (−3, −4)

A.

y = 3x/4

B.

y = 4x/3

C.

y = 2x/3

D.

y = x/2

View Answer

67ca00ce0c643c71d77dee1f 2015
507

The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100)n . Find A, if P = 126, r = 4 and n = 2.

A.

N132.50K

B.

N136.30K

C.

N125.40K

D.

N257.42K

View Answer

67ca00ce0c643c71d77dee1f 2015
508

If three staff of Myschool Limited agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received?

A.

N36,000

B.

N44,000

C.

N40,000

D.

N15,000

View Answer

67ca00ce0c643c71d77dee1f 2015
509

Find at which rate per annum simple interest N525 will amount to N588 in 3 years.

A.

3%

B.

2%

C.

5%

D.

4%

View Answer

67ca00ce0c643c71d77dee1f 2015
510

Evaluate log717

A.

1.35

B.

1.353

C.

1.455

D.

0.455

View Answer

67ca00ce0c643c71d77dee1f 2015
511

If log520 = x, find x

A.

1.761

B.

1.354

C.

1.861

D.

2.549

View Answer

67ca00ce0c643c71d77dee1f 2015
512

Factorize x2 + 9x + 20

A.

(x − 5)2

B.

(x + 5)(x + 4)

C.

(x – 5)(x + 3)

D.

(x + 3)2

View Answer

67ca00ce0c643c71d77dee1f 2015
513

Find the distance between the points (-2,-3) and (-2,4)

A.

3m

B.

2.4m

C.

3.2m

D.

7.0m

View Answer

67ca00ce0c643c71d77dee1f 2015
514

The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)

A.

3.13 cm2

B.

145 cm2

C.

314 cm2

D.

214 cm2

View Answer

67ca00ce0c643c71d77dee1f 2015
515

SOLUTION:<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid none" columnlines="solid"> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>27</mn> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>13</mn> <mtext>&#xA0;rem 1</mtext> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>6</mn> <mtext>&#xA0;rem 1</mtext> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> <mtext>&#xA0;rem 0</mtext> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>1</mn> <mtext>&#xA0;rem 1</mtext> </mtd> </mtr> <mtr> <mtd /> <mtd> <mn>0</mn> <mtext>&#xA0;rem 1</mtext> </mtd> </mtr> </mtable> <mo stretchy="false">&#x2191;<!-- ↑ --></mo> </math>

100112 + *****2 + 111002 + 1012 = 10011112

A.

11112

B.

110112

C.

101112

D.

110012

View Answer

67ca00ce0c643c71d77dee1f 2015
516

Given that Z = {1,2,4,5} what is the power of set Z?

A.

16

B.

8

C.

10

D.

12

View Answer

67ca00ce0c643c71d77dee1f 2015
517

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)

A.

17.1 cm2

B.

27.2 cm2

C.

47.1 cm2

D.

37.3 cm2

View Answer

67ca00ce0c643c71d77dee1f 2015
518

Simplify 1 - (1/7 x 3(1/2) ÷ 3/4

A.

2

B.

1/3

C.

1

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2016
519

If N = p/2((T1 −T2 )/T1 ). Find P when N = 12, T1 = 27 and T2 = 24.

A.

48

B.

108

C.

54

D.

216

View Answer

67ca00ce0c643c71d77dee1f 2016
520

The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is

A.

2

B.

t

C.

-t

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2016
521

The nth term of the sequence 3, 9, 27, 81.....is

A.

3 x 3n-2

B.

3 x 3n-1

C.

3 x 3n+2

D.

3 x 3n+1

View Answer

67ca00ce0c643c71d77dee1f 2016
522

If y = 2x3 + 6x2 + 6x + 1, Find dy/dx

A.

6x2 + 12x + 1

B.

6x2 + 6x + 1

C.

6x2 + 6x + 6

D.

6x2 + 12x + 6

View Answer

67ca00ce0c643c71d77dee1f 2016
523

If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q∩T?

A.

(2,3)

B.

(2,3,18)

C.

(2,3,9)

D.

(2,3,6)

View Answer

67ca00ce0c643c71d77dee1f 2016
524

Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60°.

A.

(12 + 4π)cm

B.

(24 + 4π)cm

C.

(12 + 6π)cm

D.

(24 + 6π)cm

View Answer

67ca00ce0c643c71d77dee1f 2016
525

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

A.

15

B.

25

C.

30

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2016
526

Factorize k2 - 2kp + p2

A.

(k +p)2

B.

(k - p)2

C.

k2 + p2

D.

k2 - p2

View Answer

67ca00ce0c643c71d77dee1f 2016
527

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msqrt> <mn>6</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>4</mn> </msqrt> </mrow> <mrow> <msqrt> <mn>6</mn> </msqrt> <mo>+</mo> <msqrt> <mn>4</mn> </msqrt> </mrow> </mfrac> </math>

Rationalize(√6−√4)/(√6 + √4)

A.

5 + 2√6

B.

5 - 4√6

C.

5 + 4√6

D.

5 - 2√6

View Answer

67ca00ce0c643c71d77dee1f 2016
528

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid" columnlines="solid"> <mtr> <mtd> <mi>M</mi> <mi>a</mi> <mi>r</mi> <mi>k</mi> <mi>s</mi> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mi>F</mi> <mi>r</mi> <mi>e</mi> <mi>q</mi> <mi>u</mi> <mi>e</mi> <mi>n</mi> <mi>c</mi> <mi>y</mi> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mi>y</mi> </mtd> </mtr> </mtable> </math>

The table above shows the frequency distribution of marks obtained by a group of students. If the total mark is 48, find the value of y.

A.

6

B.

8

C.

7

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2016
529

From the diagram above, Find the value of < ROP

A.

110°

B.

70°

C.

95°

D.

85°

View Answer

67ca00ce0c643c71d77dee1f 2016
530

Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.

A.

11.2

B.

10

C.

10.2

D.

11.3

View Answer

67ca00ce0c643c71d77dee1f 2016
531

Determine the mean score of the student that took the mathematics test?

A.

4.5

B.

4.3

C.

4.2

D.

4.6

View Answer

67ca00ce0c643c71d77dee1f 2016
532

<math xmlns="http://www.w3.org/1998/Math/MathML"> <munderover> <mo>&#x222B;<!-- ∫ --></mo> <mn>0</mn> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>2</mn> </mfrac> </munderover> </math>

Evaluate ∫0π/2 sin xdx

A.

2

B.

-1

C.

1

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2016
533

In the cyclic quadrilateral above . Find < PRO

A.

70°

B.

20°

C.

50°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2016
534

rom the cyclic quadrilateral above, find < TSV

A.

60°

B.

80°

C.

70°

D.

50°

View Answer

67ca00ce0c643c71d77dee1f 2016
535

The bar chart above shows the marks obtained by students in a mathematics test. How many students in all took the test?

A.

40

B.

30

C.

10

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2016
536

Find the derivative of y = (1/3X + 6)2

A.

2( 1/3X + 6)

B.

2/3 ( 1/3x 6)

C.

2/3(1/3X + 6)2

D.

1/3(1/3X + 6)2

View Answer

67ca00ce0c643c71d77dee1f 2016
537

From the table above, find the median

A.

3

B.

5

C.

4

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2016
538

Simplify (0.026 × 0.36)/0.69 . Leave your answer in standard form

A.

1.36 x 10-4

B.

1.36 x 10-3

C.

1.36 x 10-1

D.

1.36 x 10-2

View Answer

67ca00ce0c643c71d77dee1f 2016
539

In the diagram above, l1 is parallel to l2, Find the value of < PMT

A.

82°

B.

36°

C.

72°

D.

118°

View Answer

67ca00ce0c643c71d77dee1f 2016
540

Solve for x and y respectively 3x - 5y = 9 6x - 4y = 12

A.

3/4 , 1

B.

4/3 , 1

C.

3/4 , -1

D.

4/3 , -1

View Answer

67ca00ce0c643c71d77dee1f 2016
541

From the diagram above. Find the fraction of the shaded position?

A.

1/3

B.

1/5

C.

1/4

D.

1/6

View Answer

67ca00ce0c643c71d77dee1f 2016
542

From the diagram above, find the required roots/region of x.

A.

x≤-1, x ≥4

B.

x≤4

C.

-1≤x≤4

D.

x≤-1, o≤x≤4

View Answer

67ca00ce0c643c71d77dee1f 2016
543

From the diagram above, find the value of < OTQ

A.

230°

B.

55°

C.

115°

D.

65°

View Answer

67ca00ce0c643c71d77dee1f 2016
544

The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday?

A.

17

B.

22

C.

20

D.

16

View Answer

67ca00ce0c643c71d77dee1f 2016
545

The sum of the interior angles of a polygon is a given as 1080o. Find the number of the sides of the polygon.

A.

5

B.

7

C.

6

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2016
546

Given U = {x: x is a positive integer less than 15} and P = {x: x is even number from 1 to 14}. Find the compliment of P.

A.

{1, 3, 5, 7, 9, 11, 13, 15}

B.

{2, 3, 5, 7, 9, 11, 13}

C.

{1, 3, 5, 7, 9, 11, 13}

D.

{2, 3, 5, 7, 11, 15}

View Answer

67ca00ce0c643c71d77dee1f 2016
547

Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36o.

A.

18cm

B.

(18 + 9π/5)cm

C.

(9 + 9π/5)cm

D.

9π/5cm

View Answer

67ca00ce0c643c71d77dee1f 2016
548

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo>&#x222B;<!-- ∫ --></mo> </math>

Integrate (2x3+2x)/x with respect to x

A.

2x3/3 - 2x + k

B.

x3 + 2x + k

C.

2x3/3 + 2x + k

D.

x3 - 2x + k

View Answer

67ca00ce0c643c71d77dee1f 2016
549

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msup> <mn>27</mn> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mn>8</mn> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </msup> </mrow> <mrow> <msup> <mn>16</mn> <mfrac> <mn>2</mn> <mn>4</mn> </mfrac> </msup> <mo>&#x00D7;<!-- × --></mo> <mn>2</mn> </mrow> </mfrac> </math>

Evaluate (〖27〗(1/3) -8(2/3))/(〖16〗^(2/4) × 2)

A.

23/5

B.

-(23/5)

C.

=B27-(1/8)

D.

21/7

View Answer

67ca00ce0c643c71d77dee1f 2016
550

If the mean of 4, y, 8 and 10 is 7. Find Y?

A.

6

B.

10

C.

7

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2016
551

If the 2nd term of a G.P is 8/9 and the 6th term is 4(1/2) . Find the common ratio.

A.

2

B.

3/2

C.

2/3

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2016
552

If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?

A.

720 litres

B.

160 litres

C.

225 litres

D.

960 litres

View Answer

67ca00ce0c643c71d77dee1f 2016
553

Evaluate (0.8×0.43×0.031)/(0.05×0.72×0.021) . Correct to four significant figures.

A.

14.09

B.

14.1

C.

14.12

D.

14.11

View Answer

67ca00ce0c643c71d77dee1f 2016
554

An arc of the length 16π cm subtends an angle of 80° at the centre of the circle. Find the radius of the circle.

A.

24cm

B.

28cm

C.

36cm

D.

32cm

View Answer

67ca00ce0c643c71d77dee1f 2016
555

OGIVE is constructed using

A.

Third quartile range

B.

Semi-quartile range

C.

Cummulative frequency table

D.

Inter-quartile table

View Answer

67ca00ce0c643c71d77dee1f 2016
556

Find dy/dx. If y = 3x3 + 2x2 + 3x + 1

A.

9x2 + 4x + 3

B.

9x2 - 4x - 3

C.

9x2 + 4x - 3

D.

9x2 - 4x + 3

View Answer

67ca00ce0c643c71d77dee1f 2016
557

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>12.02</mn> <mo>&#x00D7;<!-- × --></mo> <mn>20.06</mn> </mrow> <mrow> <mn>26.04</mn> <mo>&#x00D7;<!-- × --></mo> <mn>60.06</mn> </mrow> </mfrac> </math>

Evaluate (12.02×20.06)/(26.04×60.06) , correct to three significant figures.

A.

0.157

B.

0.154

C.

0.155

D.

0.158

View Answer

67ca00ce0c643c71d77dee1f 2016
558

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd /> <mtd> <mi></mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>,</mo> <mtext>&#xA0;</mtext> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>5</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi>d</mi> <mo>=</mo> <msqrt> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </msqrt> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi>d</mi> <mo>=</mo> <msqrt> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mn>4</mn> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mn>5</mn> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </msqrt> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi>d</mi> <mo>=</mo> <msqrt> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </msqrt> <mo>=</mo> <msqrt> <mn>2</mn> </msqrt> </mtd> </mtr> </mtable> </math>

Determine the distance between point P(3, 4) and Q(4,5)

A.

2

B.

√5

C.

√2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2017
559

The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base π = 22/7

A.

2.6cm

B.

3.5cm

C.

3.6cm

D.

7.0cm

View Answer

67ca00ce0c643c71d77dee1f 2017
560

From the diagram above, find the value of x

A.

15°

B.

45°

C.

25°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2017
561

The bar chart above is a representation of a candidate’s scores in UTME in 2014, find his total scores

A.

210

B.

240

C.

340

D.

200

View Answer

67ca00ce0c643c71d77dee1f 2017
562

The time taken to a piece of work is inversely proportional to the number of men employed. If it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?

A.

15 days

B.

12 days

C.

5days

D.

9days

View Answer

67ca00ce0c643c71d77dee1f 2017
563

A card is picked at random from a pack of 52 well shuffled playing cards. Find the probability of NOT picking a red cards in the pack. If there are 13 red card in the pack

A.

3/4

B.

2/3

C.

1/3

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2017
564

Simplify 4√27 + 5√12 − 3√75

A.

7

B.

-7

C.

-7√3

D.

7√3

View Answer

67ca00ce0c643c71d77dee1f 2017
565

In the diagram above MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140°, find, to the nearest cm, the length of the chord MN.

A.

10cm

B.

19cm

C.

17cm

D.

12cm

View Answer

67ca00ce0c643c71d77dee1f 2017
566

A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

A.

23m

B.

25m

C.

20m

D.

22m

View Answer

67ca00ce0c643c71d77dee1f 2017
567

A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?

A.

three times as much

B.

the same

C.

twice as much

D.

half as much

View Answer

67ca00ce0c643c71d77dee1f 2017
568

The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer

A.

₦ 35, 000

B.

₦ 40,000

C.

₦ 25,000

D.

₦ 20,000

View Answer

67ca00ce0c643c71d77dee1f 2017
569

A car dealer bought a second-hand car for 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

A.

60%

B.

32%

C.

25%

D.

20%

View Answer

67ca00ce0c643c71d77dee1f 2017
570

The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1

A.

9

B.

-9

C.

6

D.

-6

View Answer

67ca00ce0c643c71d77dee1f 2017
571

y is inversely proportional to x and y is 6 when x = 7. Find the constant of the variation

A.

47

B.

42

C.

54

D.

46

View Answer

67ca00ce0c643c71d77dee1f 2017
572

Evaluate (sin45° + sin30° ) in surd form

A.

√3/2√2

B.

√3 − 1/2

C.

1/2 √2

D.

1+√2/2

View Answer

67ca00ce0c643c71d77dee1f 2017
573

Evaluate 1 − (1/5 x 1(2/3)) + (5 + 1(2/3))

A.

4

B.

3

C.

22/3

D.

3(2/3)

View Answer

67ca00ce0c643c71d77dee1f 2017
574

In how many ways can the word MATHEMATICS be arranged?

A.

11!/9!2!

B.

11!/9!2!2!

C.

11!/2!2!2!

D.

11!/2!2!

View Answer

67ca00ce0c643c71d77dee1f 2017
575

If a rod 10cm in length was measured as 10.5cm, calculate the percentage error

A.

5%

B.

10%

C.

8%

D.

7%

View Answer

67ca00ce0c643c71d77dee1f 2017
576

What is the next number in the series 2, 1, 1/2, 1/4 ...

A.

1/3

B.

2/8

C.

3/7

D.

1/8

View Answer

67ca00ce0c643c71d77dee1f 2017
577

Factorize completely X2 +2XY+Y2 +3X+3Y-18

A.

(x + y + 6)(x + y -3)

B.

(x - y - 6)(x - y + 3)

C.

(x - y + 6)(x - y - 3)

D.

(x + y - 6)(x + y + 3)

View Answer

67ca00ce0c643c71d77dee1f 2017
578

If U = {x : x is an integer and 1 ≤ x ≤ 20 } E1 = {x: x is a multiple of 3} E2 = {x: x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E2

A.

3/4

B.

3/10

C.

1/4

D.

1/20

View Answer

67ca00ce0c643c71d77dee1f 2017
579

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mi>s</mi> <msup> <mi>m</mi> <mn>2</mn> </msup> </mrow> <mrow> <mi>n</mi> <mi>r</mi> </mrow> </mfrac> </math>

Make S the subject of the relation p = s + (sm2)/nr

A.

s = nrpn/r+m2

B.

s = nr + m2 /mrp

C.

s = nrp/mr + m2

D.

s = nrp/nr + m2

View Answer

67ca00ce0c643c71d77dee1f 2017
580

If temperature t is directly proportional to heat h, and when t = 20oC, h = 50 J, find t when h = 60J

A.

24°C

B.

20°C

C.

34°C

D.

30°C

View Answer

67ca00ce0c643c71d77dee1f 2017
581

The value of x + x ( xx) when x = 2 is

A.

16

B.

10

C.

18

D.

24

View Answer

67ca00ce0c643c71d77dee1f 2017
582

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

A.

8

B.

6

C.

4

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2017
583

Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

A.

1.03

B.

0.07

C.

0.03

D.

1.0

View Answer

67ca00ce0c643c71d77dee1f 2017
584

Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum

A.

₦ 4,900

B.

₦ 5,000

C.

₦ 4,700

D.

₦ 4,000

View Answer

67ca00ce0c643c71d77dee1f 2017
585

Evaluate 0.00000231/0.007 and leave the answer in standard form

A.

3.3 x 10-4

B.

3.3 x 10-3

C.

3.3 x 10-5

D.

3.3 x 10-8

View Answer

67ca00ce0c643c71d77dee1f 2017
586

The base in which the operation was performed was

A.

6

B.

2

C.

4

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2017
587

Find the number of ways that the letters of the word EXCELLENCE be arranged

A.

(10!2!2!)/2!

B.

(10!4!)/2!

C.

10!/4!2!2!

D.

10!/2!2!

View Answer

67ca00ce0c643c71d77dee1f 2017
588

In the figure, find x

A.

40°

B.

55°

C.

50°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2017
589

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60°

A.

100o

B.

140°

C.

120°

D.

10°

View Answer

67ca00ce0c643c71d77dee1f 2017
590

Given T = { even numbers from 1 to 12 } N = {common factors of 6, 8 and 12} Find T ∩ N

A.

{2, 3}

B.

{2, 3, 4}

C.

{3, 4, 6}

D.

{2}

View Answer

67ca00ce0c643c71d77dee1f 2017
591

Find ∫(x2 + 3x − 5)dx

A.

x3/3 - 3x2/2 - 5x + k

B.

x3/3 - 3x2/2 + 5x + k

C.

x3/3 + 3x2/2 - 5x + k

D.

x3/3 + 3x2/2 + 5x + k

View Answer

67ca00ce0c643c71d77dee1f 2017
592

What is the product of 2x2x

A.

4x3 − 8x2 + 5x + 3

B.

−4x3 + 8x2 − 5x + 3

C.

−4x3 − 8x2 + 5x + 3

D.

4x3 + 8x2 − 5x + 3

View Answer

67ca00ce0c643c71d77dee1f 2017
593

In how many ways can the word MACICITA be arranged?

A.

8!/2!

B.

8!/3!2!

C.

8!/2!2!2!

D.

8!

View Answer

67ca00ce0c643c71d77dee1f 2017
594

If two graphs Y = px2 + q and y = 2x2 − 1 intersect at x =2, find the value of p in terms of q

A.

q − 8/7

B.

7 − q/4

C.

8 − q/2

D.

7 + q/8

View Answer

67ca00ce0c643c71d77dee1f 2017
595

Divide 4x23 - 3x + 1 by 2x - 1

A.

2x2 -x + 1

B.

2x2 - x -1

C.

2x2 + x + 1

D.

2x2 + x -1

View Answer

67ca00ce0c643c71d77dee1f 2017
596

If y = x Sin x, find dy/dx when x = π/2

A.

−π/2

B.

-1

C.

1

D.

π/2

View Answer

67ca00ce0c643c71d77dee1f 2017
597

Evaluate 1 - (1/5 x 2/3) + ( 5 + 2/3)

A.

4

B.

3

C.

2(2/3)

D.

98/15

View Answer

67ca00ce0c643c71d77dee1f 2017
598

A man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year.

A.

N828.00

B.

N756.00

C.

N720.00

D.

N684.00

View Answer

67ca00ce0c643c71d77dee1f 2018
599

The figure above is a Venn diagram showing the elements arranged within sets A,B,C,ε. Use the figure to answer this question What is n(A U B)1 ?

A.

2

B.

3

C.

4

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2018
600

Divide the L.C.M of 48, 64 and 80 by their H.C.F

A.

20

B.

30

C.

48

D.

60

View Answer

67ca00ce0c643c71d77dee1f 2018
601

In how many ways can the letters LEADER be arranged?

A.

72

B.

144

C.

360

D.

720

View Answer

67ca00ce0c643c71d77dee1f 2018
602

Evaluate (2√3 - 4) (2√3 + 4)

A.

-4

B.

-2

C.

2

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2018
603

Evaluate ∫21 5/x dx

A.

1.47

B.

2.67

C.

3.23

D.

3.47

View Answer

67ca00ce0c643c71d77dee1f 2018
604

The table above shows the frequency of children age x years in a hospital x 1 2 3 4 5 6 7 8 y 3 4 5 6 7 6 5 4 How many children are in the hospital

A.

36

B.

40

C.

44

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2018
605

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

A.

3

B.

4

C.

5

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2018
606

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

A.

1000

B.

2000

C.

3000

D.

4000

View Answer

67ca00ce0c643c71d77dee1f 2018
607

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given. Mark 0 1 2 3 4 5 Frequency 1 2 7 5 4 3 What is the probability of selecting a student from the group that scored 2 or 3

A.

1/11

B.

5/22

C.

7/22

D.

6/11

View Answer

67ca00ce0c643c71d77dee1f 2018
608

In the figure below, /MX/ = 8cm, /XN/ = 12cm, /NZ/ = 4cm and ∠ XMN = ∠ XZY. Calculate /YM/

A.

32 cm

B.

24 cm

C.

16 cm

D.

12 cm

View Answer

67ca00ce0c643c71d77dee1f 2018
609

If x/(a+1) + y/b = 1. Make y the subject of the relation.

A.

b(a+1−x)/(a+1)

B.

(a+1)/b(a−x+1)

C.

a(b−x+1)/(b+1)

D.

b/(a(b−x+1))

View Answer

67ca00ce0c643c71d77dee1f 2018
610

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given. Mark 0 1 2 3 4 5 Frequency 1 2 7 5 4 3 What is the median mark?

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2018
611

Find the value of x in the diagram

A.

10°

B.

28°

C.

36°

D.

40°

View Answer

67ca00ce0c643c71d77dee1f 2018
612

Solve for t in the equation 3/4 t + 13 (21 - t) = 11

A.

9/13

B.

7/13

C.

5

D.

9(3/5)

View Answer

67ca00ce0c643c71d77dee1f 2018
613

Convert 0.04945 to two significant figures

A.

0.040

B.

0.049

C.

0.050

D.

0.49

View Answer

67ca00ce0c643c71d77dee1f 2018
614

A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

A.

420 Km

B.

405 Km

C.

210 Km

D.

200 Km

View Answer

67ca00ce0c643c71d77dee1f 2018
615

In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

A.

4

B.

8

C.

16

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2018
616

What is the place value of 9 in the number 3.0492?

A.

9/10000

B.

9/1000

C.

9/100

D.

9/10

View Answer

67ca00ce0c643c71d77dee1f 2018
617

Using the table,What is the modal age?

A.

4

B.

5

C.

5

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2018
618

A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

A.

N16,200

B.

N14,200

C.

N12,000

D.

N8,000

View Answer

67ca00ce0c643c71d77dee1f 2018
619

Calculate 243six – 243five expressing your answer in base 10

A.

0

B.

1

C.

26

D.

46

View Answer

67ca00ce0c643c71d77dee1f 2018
620

A boy walks 800m in 20 minutes. Calculate his average speed in Km/H

A.

2.4

B.

4

C.

24

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2018
621

In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF

A.

126°

B.

72°

C.

54°

D.

28°

View Answer

67ca00ce0c643c71d77dee1f 2018
622

Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?

A.

1/16

B.

1/6

C.

1/4

D.

3/8

View Answer

67ca00ce0c643c71d77dee1f 2018
623

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store

A.

N1,080.00

B.

N2,400.00

C.

N3,000.00

D.

N3,600.00

View Answer

67ca00ce0c643c71d77dee1f 2018
624

A trader realises 10x - x2 Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

A.

7

B.

6

C.

5

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2018
625

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.

A.

15/17

B.

9/17

C.

8/15

D.

12/17

View Answer

67ca00ce0c643c71d77dee1f 2018
626

Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

A.

1920cm2

B.

592cm2

C.

296cm2

D.

148cm2

View Answer

67ca00ce0c643c71d77dee1f 2018
627

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msup> <mn>25</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mo>&#x00F7;<!-- ÷ --></mo> <msup> <mn>25</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> </mrow> </msup> </mrow> <mrow> <mo stretchy="false">(</mo> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>7</mn> <mn>6</mn> </mfrac> </mrow> </msup> <mo>&#x00F7;<!-- ÷ --></mo> <mo stretchy="false">(</mo> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> </mrow> </msup> </mrow> </mfrac> </math>

Simplify (〖25〗2/3)÷〖25〗(1/6))/((1/5 )(7/6)÷(1/5 )(1/6) )

A.

25

B.

1

C.

1/5

D.

1/25

View Answer

67ca00ce0c643c71d77dee1f 2018
628

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = 22/7)

A.

14.67 cm

B.

73.33 cm

C.

101.33 cm

D.

513.33 cm

View Answer

67ca00ce0c643c71d77dee1f 2018
629

Find the average of the first four prime numbers greater than 10

A.

20

B.

19

C.

17

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2018
630

A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

A.

52 cm

B.

43 cm

C.

40 cm

D.

15 cm

View Answer

67ca00ce0c643c71d77dee1f 2018
631

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>0.00256</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.0064</mn> </mrow> <mrow> <mn>0.025</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.08</mn> </mrow> </mfrac> </math>

(0.00256×0.0064)/(0.025 × 0.08)

A.

8.8 x 10-1

B.

8.8 x 10-2

C.

8.2 x 10-3

D.

8.8 x 103

View Answer

67ca00ce0c643c71d77dee1f 2018
632

Find the equation of the tangent at the point (2, 0) to the curve y = x2 - 2x

A.

y = 2x - 4

B.

y = 2x + 4

C.

y = 2x - 2

D.

y = 2x + 2

View Answer

67ca00ce0c643c71d77dee1f 2018
633

A school girl spends 1/4 of her pocket money on books and 1/3 on dress. What fraction remains?

A.

5/6

B.

7/12

C.

5/12

D.

1/6

View Answer

67ca00ce0c643c71d77dee1f 2018
634

The probabilities that John and James pass an examination are 3/4 and 3/5 respectively. Find the probability of both boys failing the examination.

A.

1/10

B.

2/10

C.

9/20

D.

11/20

View Answer

67ca00ce0c643c71d77dee1f 2018
635

Use the quadratic equation curve to answer this questions What is the minimum value of the graph?

A.

-5.3

B.

0.5

C.

3

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2018
636

If y = 23five + 101three , find y, leaving your answer in base two

A.

1110

B.

10111

C.

11101

D.

111100

View Answer

67ca00ce0c643c71d77dee1f 2018
637

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>4</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> </mrow> <mn>3</mn> </mfrac> <mo>&#x2264;<!-- ≤ --></mo> <mfrac> <mrow> <mn>3</mn> <mo>+</mo> <mn>2</mn> <mi>x</mi> </mrow> <mn>2</mn> </mfrac> </math>

Solve for x in (4x-6)/3 ≤ (3 + 2x)/2

A.

x≤1(1/2)

B.

x≤(21/2)

C.

x≥21/2

D.

x≥1(1/2)

View Answer

67ca00ce0c643c71d77dee1f 2019
638

A bricklayer charges ₦1,500 per day for himself and ₦500 per day for his assistant. If a two bedroom flat was built for ₦95,000 and the bricklayer worked 10 days more than his assistant, how much did the assistant receive?

A.

N20,000

B.

N28,000

C.

N31,200

D.

N41,000

View Answer

67ca00ce0c643c71d77dee1f 2019
639

In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

A.

26°

B.

13°

C.

80°

D.

102°

View Answer

67ca00ce0c643c71d77dee1f 2019
640

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mi>m</mi> <mi>n</mi> </mrow> <msup> <mi>a</mi> <mn>2</mn> </msup> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mrow> <mi>p</mi> <mi>q</mi> </mrow> <msup> <mi>b</mi> <mn>2</mn> </msup> </mfrac> <mo>=</mo> <mn>1</mn> </math>

Make q the subject of the formula in the equation mn/a2− pq/b2 = 1

A.

q=(b2 (mn-a2))/(a2 p)

B.

q=(m2 n-a2)/p2

C.

q=(mn-2b2)/a2

D.

View Answer

67ca00ce0c643c71d77dee1f 2019
641

If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

A.

m = 0, n = 4

B.

m = 4, n = 0

C.

m = 2, n = 2

D.

m = -2, n = 4

View Answer

67ca00ce0c643c71d77dee1f 2019
642

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>x</mi> </mrow> </mfrac> <mo stretchy="false">[</mo> <mi>log</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mn>4</mn> <msup> <mi>x</mi> <mn>3</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mi>x</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </math>

d/dx [log⁡(4x3 - 2x) ] is equal to

A.

(12x−2)/4x2

B.

(43x2−2x)/7x

C.

(4x2−2)/7x+6

D.

(12x2−2)/4x3−2x

View Answer

67ca00ce0c643c71d77dee1f 2019
643

If 2(x+y) = 16 and 4(x-y)=1/32 , find the values of x and y.

A.

x = 3/4, y = 11/4

B.

x = 3/4, y = 13/4

C.

x = 2/3, y = 4/5

D.

x = 2/3, y = 13/4

View Answer

67ca00ce0c643c71d77dee1f 2019
644

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd /> <mtd> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mover> <mover> <mrow> <mo>)</mo> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd /> <mtd> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mo>+</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> <mi>x</mi> <mo>+</mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd /> <mtd> <munder> <mrow> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <mi>x</mi> </mrow> <mo>&#x005F;<!-- _ --></mo> </munder> </mtd> </mtr> <mtr> <mtd /> <mtd> <mtext>&#xA0;</mtext> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>+</mo> <mi>x</mi> <mo>+</mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd /> <mtd> <mtext>&#xA0;</mtext> <munder> <mrow> <mtext>&#xA0;</mtext> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> </mrow> <mo>&#x005F;<!-- _ --></mo> </munder> </mtd> </mtr> </mtable> </mrow> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> <mo accent="false">&#x00AF;<!-- ¯ --></mo> </mover> <mrow> <mn>6</mn> <mi>x</mi> <mo>+</mo> <mn>8</mn> </mrow> </mover> </mtd> </mtr> <mtr> <mtd /> <mtd> <mtext>&#xA0;</mtext> <mn>9</mn> <mi>x</mi> <mo>+</mo> <mn>9</mn> </mtd> </mtr> <mtr> <mtd /> <mtd> <mtext>The remainder is&#xA0;</mtext> <mn>9</mn> <mi>x</mi> <mo>+</mo> <mn>9</mn> </mtd> </mtr> </mtable> </math>

if 6x3+2x2-5x+1 divides x2−x−1 , find the remainder.

A.

9x + 9

B.

2x + 6

C.

6x + 8

D.

5x - 3

View Answer

67ca00ce0c643c71d77dee1f 2019
645

In how many ways can the word MATHEMATICIAN be arranged?

A.

6794800 ways

B.

2664910 ways

C.

6227020800 ways

D.

129729600 ways

View Answer

67ca00ce0c643c71d77dee1f 2019
646

A man bought a car newly for ₦1,250,000. He had a crash with the car and later sold it at the rate of ₦1,085,000. What is the percentage gain or loss of the man?

A.

43.7% loss

B.

13.2% gain

C.

13.2% loss

D.

43.7% gain

View Answer

67ca00ce0c643c71d77dee1f 2019
647

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A.

148 m

B.

382 m

C.

282 m

D.

248 m

View Answer

67ca00ce0c643c71d77dee1f 2019
648

Find the mean of the data.

A.

3.26

B.

4.91

C.

6.57

D.

3.0

View Answer

67ca00ce0c643c71d77dee1f 2019
649

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo stretchy="false">(</mo> <mfrac> <mn>6</mn> <mn>0.32</mn> </mfrac> <mo>&#x00F7;<!-- ÷ --></mo> <mfrac> <mn>2</mn> <mn>0.084</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> </math>

Evaluate (6/0.32÷2/0.084 )(-1) correct to 1 decimal place.

A.

1.3

B.

2.5

C.

4.6

D.

3.2

View Answer

67ca00ce0c643c71d77dee1f 2019
650

Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30

A.

x = 3 or 7, y = 12 or 8

B.

x = 6 or 1, y = 11 or 5

C.

x = 2 or 5, y = 15 or 6

D.

x = 1 or 5, y = 10 or 7

View Answer

67ca00ce0c643c71d77dee1f 2019
651

In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.

A.

56 cm2

B.

24 cm2

C.

42 cm2

D.

34 cm2

View Answer

67ca00ce0c643c71d77dee1f 2019
652

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>y</mi> <mo>=</mo> <mn>6</mn> <msup> <mi>x</mi> <mn>3</mn> </msup> <mo>+</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> </mrow> </msup> </math>

If y=6x3 +2x(-2) - x(-3), find dy/dx .

A.

dy/dx=15x2 -4x(-2) - 3x(-2)

B.

dy/dx = 6x + 4x(-1) - 3x(-4)

C.

dy/dx=18x2-4x(-3) + 3x(-4)

D.

dy/dx=12x2 + 4x(-1)-3x(-2)

View Answer

67ca00ce0c643c71d77dee1f 2019
653

If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

A.

50 units per sec

B.

35 units per sec

C.

22 units per sec

D.

13 units per sec

View Answer

67ca00ce0c643c71d77dee1f 2019
654

The simple interest on ₦8550 for 3 years at x% per annum is ₦4890. Calculate the value of x to the nearest whole number.

A.

19%

B.

20%

C.

25%

D.

16.3%

View Answer

67ca00ce0c643c71d77dee1f 2019
655

Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.

A.

1080°

B.

1260°

C.

2160°

D.

1800°

View Answer

67ca00ce0c643c71d77dee1f 2019
656

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>3</mn> <msup> <mi>x</mi> <mn>3</mn> </msup> <mo>+</mo> <mn>4</mn> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> </math>

if f(x)=3x3+4x2+x - 8, what is the value of f(-2)?

A.

-24

B.

30

C.

-18

D.

-50

View Answer

67ca00ce0c643c71d77dee1f 2019
657

In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

A.

42

B.

20

C.

70

D.

54

View Answer

67ca00ce0c643c71d77dee1f 2019
658

If a fair coin is tossed 3 times, what is the probability of getting at least two heads?

A.

2/3

B.

4/5

C.

2/5

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2019
659

Find the length of the chord |AB| in the diagram shown above.

A.

4.2 cm

B.

4.3 cm

C.

3.2 cm

D.

3.4 cm

View Answer

67ca00ce0c643c71d77dee1f 2019
660

If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.

A.

12

B.

8

C.

9

D.

16

View Answer

67ca00ce0c643c71d77dee1f 2019
661

Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.

A.

24°

B.

56°

C.

127°

D.

156°

View Answer

67ca00ce0c643c71d77dee1f 2019
662

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

A.

bisector of the two lines

B.

line parallel to the two lines

C.

angle bisector of the two lines

D.

perpendicular bisector of the two lines

View Answer

67ca00ce0c643c71d77dee1f 2019
663

If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.

A.

y = 5x + 2

B.

y = 5x + 3

C.

y = 12x + 2

D.

y = 22x + 3

View Answer

67ca00ce0c643c71d77dee1f 2019
664

If 4sin2x−3=0, find the value of x, when 0° ≤ x ≤ 90°

A.

90°

B.

45°

C.

60°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2019
665

Solve the inequality: -7 ≤ 9 - 8x < 16 - x

A.

-1 ≤ x ≤ 2

B.

-1 ≤ x < 2

C.

-1 < x < 2

D.

-1 < x ≤ 2

View Answer

67ca00ce0c643c71d77dee1f 2019
666

Express (0.0439÷3.62) as a fraction.

A.

21/100

B.

21/1000

C.

12/1000

D.

12/100

View Answer

67ca00ce0c643c71d77dee1f 2019
667

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msqrt> <mn>2</mn> </msqrt> <mo>+</mo> <msqrt> <mn>3</mn> </msqrt> </mrow> <mrow> <msqrt> <mn>2</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> </math>

Rationalize (√2+√3)/(√2-√3)

A.

−5−2√6

B.

−5 + 3√2

C.

5 − 2√3

D.

5 + 2√6

View Answer

67ca00ce0c643c71d77dee1f 2019
668

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

A.

48.6°

B.

56.3°

C.

46.8°

D.

13°

View Answer

67ca00ce0c643c71d77dee1f 2019
669

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo stretchy="false">(</mo> <mn>2</mn> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>x</mi> </math>

Integrate ∫(-1)2(2x2 + x)dx

A.

4(1/2)

B.

3(1/2)

C.

7(1/2)

D.

5(1/24)

View Answer

67ca00ce0c643c71d77dee1f 2019
670

Find the variance

A.

3.42

B.

4.69

C.

4.85

D.

3.72

View Answer

67ca00ce0c643c71d77dee1f 2019
671

If the volume of a frustrum is given as V=πh/3(R22.

A.

πh/3(2R + r)

B.

2R + r + πh/3

C.

πh/3(2R2)

D.

2R2

View Answer

67ca00ce0c643c71d77dee1f 2019
672

The weight of a day-old chick was measured to be 0.21g. If the actual weight of the chick is 0.18g, what was the percentage error in the measurement?

A.

15.5%

B.

18.2%

C.

14.8%

D.

16.7%

View Answer

67ca00ce0c643c71d77dee1f 2019
673

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>&#x00F7;<!-- ÷ --></mo> <mfrac> <mn>4</mn> <mn>5</mn> </mfrac> </mrow> <mrow> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mo>+</mo> <mfrac> <mn>3</mn> <mn>5</mn> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </mfrac> </math>

(2/3÷4/5)/(1/4+3/5-1/3)

A.

31/50

B.

20/31

C.

31/20

D.

50/31

View Answer

67ca00ce0c643c71d77dee1f 2019
674

Find the value of ((0.5436)3)/(0.017×0.219) to 3 significant figures.

A.

46.2

B.

43.1

C.

534

D.

431

View Answer

67ca00ce0c643c71d77dee1f 2019
675

The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is

A.

31°

B.

30°

C.

26°

D.

48°

View Answer

67ca00ce0c643c71d77dee1f 2019
676

Tade bought 200 mangoes at 4 for ₦2.50. 30 out of the mangoes got spoilt and the remaining were sold at 2 for ₦2.40. Find the percentage profit or loss.

A.

43.6% loss

B.

35% profit

C.

63.2% profit

D.

28% loss

View Answer

67ca00ce0c643c71d77dee1f 2019
677

Calculate, correct to three significant figures, the length AB in the diagram above.

A.

36.4 cm

B.

36.1 cm

C.

36.2 cm

D.

36.3 cm

View Answer

67ca00ce0c643c71d77dee1f 2023
678

The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs?

A.

17.5 - 20.5

B.

16.5 - 19.5

C.

15.5 - 19.5

D.

15.5 - 18.5

View Answer

67ca00ce0c643c71d77dee1f 2000
679

X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X

A.

240°

B.

150°

C.

60°

D.

270°

View Answer

67ca00ce0c643c71d77dee1f 2021
680

A business invested a total of N200,000 in two companies which paid dividends of 5% and 7% respectively. If the received a total of N11, 600 as dividend, how much did he invest at 5%

A.

N160,000

B.

N140,000

C.

N120,000

D.

N80,000

View Answer

POST UTME 2006
681

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>a</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mi>r</mi> <mo>=</mo> <mfrac> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>1</mn> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> <mspace linebreak="newline" /> <msub> <mi>S</mi> <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi> </msub> <mo>=</mo> <mfrac> <mi>a</mi> <mrow> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mi>r</mi> </mrow> </mfrac> <mspace linebreak="newline" /> <msub> <mi>S</mi> <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi> </msub> <mo>=</mo> <mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> </math>

Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....

A.

2/3

B.

1/3

C.

3/4

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2004
682

The result of tossing a fair die 120 times is summarized above. Find the value of x

A.

19

B.

20

C.

21

D.

22

View Answer

67ca00ce0c643c71d77dee1f 2003
683

The venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?

A.

19

B.

16

C.

15

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2005
684

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">&#x221A;</mo> </mrow> <mn>12</mn> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">&#x221A;</mo> </mrow> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">&#x221A;</mo> </mrow> <mn>12</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">&#x221A;</mo> </mrow> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </math>

Simplify ((√12-√3))/((√12+√3))

A.

zero

B.

1/3

C.

3/5

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2005
685

If y = (1 - 2x)3 , find the value of dy/dx at x = -1

A.

57

B.

27

C.

-6

D.

-54

View Answer

67ca00ce0c643c71d77dee1f 2005
686

In the diagram above calculate the value of x

A.

60°

B.

100°

C.

120°

D.

140°

View Answer

67ca00ce0c643c71d77dee1f 2005
687

The model height and range of heights 1.35, 1.25, 1.35, 1.40, 1.35, 1.50, 1.35, 1.50, and 1.20 are m and r respectively. Find m+2r.

A.

1.35

B.

1.65

C.

1.95

D.

3.00

View Answer

67ca00ce0c643c71d77dee1f 2005
688

Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm

A.

25 πcm2

B.

65 πcm2

C.

120 πcm2

D.

156 πcm2

View Answer

67ca00ce0c643c71d77dee1f 2005
689

A polynomial in x whose zeros are -2, -1 and 3 is

A.

x3 - 7x + 6

B.

x3 + 7x - 6

C.

x3 + 7x + 6

D.

x3 - 7x - 6

View Answer

67ca00ce0c643c71d77dee1f 2005
690

The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?

A.

36 π cm2/sec

B.

18 π cm2/sec

C.

6 π cm2/sec

D.

3 π cm2/sec

View Answer

67ca00ce0c643c71d77dee1f 2005
691

SOLUTION : <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>m</mi> <mi>e</mi> <mi>a</mi> <mi>n</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mfrac> <mrow> <mn>20</mn> <mi>t</mi> </mrow> <mn>5</mn> </mfrac> <mo>=</mo> <mn>4</mn> <mi>t</mi> <mspace linebreak="newline" /> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>d</mi> <mi>a</mi> <mi>r</mi> <mi>d</mi> <mspace width="1mm" /> <mi>d</mi> <mi>e</mi> <mi>v</mi> <mi>i</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>=</mo> <msqrt> <mfrac> <mrow> <mn>10</mn> <msup> <mi>t</mi> <mn>2</mn> </msup> </mrow> <mn>5</mn> </mfrac> </msqrt> <mspace linebreak="newline" /> <msqrt> <mn>2</mn> </msqrt> <mo>=</mo> <msqrt> <mfrac> <mrow> <mn>10</mn> <msup> <mi>t</mi> <mn>2</mn> </msup> </mrow> <mn>5</mn> </mfrac> </msqrt> <mspace linebreak="newline" /> <msqrt> <mn>2</mn> </msqrt> <mo>=</mo> <msqrt> <mn>2</mn> <msup> <mi>t</mi> <mn>2</mn> </msup> </msqrt> <mspace linebreak="newline" /> <mn>2</mn> <mo>=</mo> <mn>2</mn> <msup> <mi>t</mi> <mn>2</mn> </msup> <mspace linebreak="newline" /> <msup> <mi>t</mi> <mn>2</mn> </msup> <mo>=</mo> <mn>1</mn> <mspace linebreak="newline" /> <mi>t</mi> <mo>=</mo> <mn>1</mn> </math>

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is √2

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2005
692

What is the probability that an integer x,(1 ≤ x ≤ 20) chosen at random is divisible by both 2 and 3?

A.

1/20

B.

1/3

C.

3/20

D.

7/10

View Answer

67ca00ce0c643c71d77dee1f 2005
693

The maximum value of the function f(x) = 2 + x - x2 is

A.

9/4

B.

7/4

C.

3/2

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2005
694

Find the value of m if 13m + 24m = 41m

A.

8

B.

6

C.

5

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2005
695

From the diagram above, find the bearing of R and S

A.

226°

B.

224°

C.

136°

D.

134°

View Answer

67ca00ce0c643c71d77dee1f 2005
696

In the diagram above, O is the center of the circle, ∠UOT = 70° and ∠RST = 100°. Calculate ∠RUO.

A.

20°

B.

25°

C.

50°

D.

80°

View Answer

67ca00ce0c643c71d77dee1f 2005
697

The histogram above shows the distribution of monthly incomes of the workers in a company. How many workers earn more than N700.00?

A.

16

B.

12

C.

8

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2005
698

Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF = 52° and ∠LOH = 85°, calculate the size of ∠EOG.

A.

26°

B.

43°

C.

52°

D.

85°

View Answer

67ca00ce0c643c71d77dee1f 2005
699

An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity elements

A.

2

B.

1

C.

-1

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2005
700

If m = 3, p = -3, q = 7 and r = 5/2, evaluate m(p+q+r)

A.

19.50

B.

19.15

C.

18.95

D.

18.05

View Answer

67ca00ce0c643c71d77dee1f 2005
701

How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table

A.

360

B.

720

C.

2520

D.

5040

View Answer

67ca00ce0c643c71d77dee1f 2005
702

If the interest on N150.00 for 2(1/2) years is N4.50, find the interest on N250.00 for 6 months at the same rate

A.

N1.50

B.

N7.50

C.

N15.00

D.

N18.00

View Answer

67ca00ce0c643c71d77dee1f 2005
703

A chord of a circle subtends an angle of 60° at the length of a circle of radius 14 cm. Find the length of the chord

A.

7 cm

B.

14 cm

C.

21 cm

D.

28 cm

View Answer

67ca00ce0c643c71d77dee1f 2005
704

The table above shows that the scores of a group of students in a test. If the average score is 3.5, find the value of x

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2005
705

If sin θ = -1/2 for 0 < θ < 360°, the value of θ is

A.

30° and 150°

B.

150° and 210°

C.

210° and 330°

D.

150° and 330°

View Answer

67ca00ce0c643c71d77dee1f 2005
706

The sum of the interior angle of a regular polygon is 1800o. Calculate the size of one exterior angle of the polygon

A.

30°

B.

24°

C.

18°

D.

12°

View Answer

67ca00ce0c643c71d77dee1f 2005
707

A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls

A.

17/50

B.

3/25

C.

1/50

D.

3/250

View Answer

67ca00ce0c643c71d77dee1f 2005
708

If 3214 is divided by 234 and leaves a remainder r, what is the value of r?

A.

zero

B.

1

C.

2

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2005
709

The grades of 36 students in a test are shown in the pie chart above. How many students had excellent?

A.

7

B.

8

C.

9

D.

12

View Answer

67ca00ce0c643c71d77dee1f 2005
710

Find the range of values of x for which 7x - 3 > 25 + 3x

A.

x >7

B.

x<7

C.

x>-7

D.

x<-7

View Answer

67ca00ce0c643c71d77dee1f 2005
711

Find the sum of the first 20 terms of the series 8, 12, 16, ....., 96

A.

1400

B.

1040

C.

960

D.

920

View Answer

67ca00ce0c643c71d77dee1f 2005
712

From the diagram given, find the bearing of R from S

A.

226°

B.

224°

C.

136°

D.

134°

View Answer

67ca00ce0c643c71d77dee1f 2005
713

Three boys shared some oranges. The first received 1/3 of the oranges and the second received 2/3 of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share

A.

60

B.

54

C.

48

D.

42

View Answer

67ca00ce0c643c71d77dee1f 2005
714

Two lines PQ and ST intersect at 75°. The locus of points equidistant from PQ and ST lies on the

A.

perpendicular bisector of PQ

B.

perpendicular bisector of ST

C.

bisector of the angles between lines PQ and ST

D.

bisector of the angles between lines PT and QS

View Answer

67ca00ce0c643c71d77dee1f 2005
715

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>2</mn> </mfrac> </mrow> </msubsup> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>2</mn> <mi>x</mi> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫0, (π/2sin2xdx

A.

1

B.

Zero

C.

-1/2

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2005
716

Find the area of the figure bounded by the given pair of curves y = x2 - x + 3 and y = 3

A.

17/6 units (sq)

B.

7/6 units (sq)

C.

5/6 units (sq)

D.

1/6 units (sq)

View Answer

67ca00ce0c643c71d77dee1f 2005
717

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?

A.

20

B.

35

C.

45

D.

60

View Answer

67ca00ce0c643c71d77dee1f 2005
718

The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) ≥ 0.

A.

x ≥ 2

B.

0 ≥ x ≥ 2

C.

-2 ≥ x ≥ 0, x ≤ 2

D.

x ≥ -2, 0 ≥ x ≥ 2

View Answer

67ca00ce0c643c71d77dee1f 2005
719

If Log10 2 = 0.3010 and Log103 = 0.4771, evaluate Log104.5

A.

0.9542

B.

0.6532

C.

0.4771

D.

0.3010

View Answer

67ca00ce0c643c71d77dee1f 2005
720

Simplify 3(1/2) - (2(1/3) * 1(1/4) + 3/5

A.

2(11/60)

B.

2(1/60)

C.

1(11/60)

D.

1(1/60)

View Answer

67ca00ce0c643c71d77dee1f 2005
721

In how many ways can 6 coloured chalks be arranged if 2 are same colour?

A.

60

B.

120

C.

240

D.

360

View Answer

67ca00ce0c643c71d77dee1f 2005
722

In a group of 500 people, 350 people can speak English, and 400 people can speak French. Find how many people can speak both languages.

A.

750

B.

850

C.

250

D.

150

View Answer

67ca00ce0c643c71d77dee1f 2023
723

What is the general term of the sequence 3, 8, 13, 18, ...?

A.

5n - 2

B.

5n + 2

C.

5

D.

5n

View Answer

67ca00ce0c643c71d77dee1f 2023
724

Solve for x: 3(x – 1) ≤ 2 (x – 3)

A.

x ≤ -3

B.

 x ≥ -3

C.

 x ≤ 3

D.

x ≥ 3

View Answer

67ca00ce0c643c71d77dee1f 2023
725

Divide 1101001two by 101two

A.

11101two

B.

111two

C.

10111two

D.

10101two

View Answer

67ca00ce0c643c71d77dee1f 2023
726

Two numbers are respectively 35% and 80% more than a third number. The ratio of the two numbers is

A.

7 : 16

B.

3 : 4

C.

16 : 7

D.

4 : 3

View Answer

67ca00ce0c643c71d77dee1f 2023
727

A rectangular plot of land has sides with lengths of 38 m and 52 m corrected to the nearest m. Find the range of the possible values of the area of the rectangle

A.

1931.25 m2 ≤ A < 2021.25 m2

B.

1950 m2 ≤ A < 2002m2

C.

1957 m2 ≤ A < 1995 m2

D.

1931.25 m2 ≥ A > 2021.25 m2

View Answer

67ca00ce0c643c71d77dee1f 2023
728

Find the value of y, if log (y + 8) + log (y - 8) = 2log 3 + 2log 5

A.

y = ±5

B.

y = ±10

C.

y = ±17

D.

y = ±13

View Answer

67ca00ce0c643c71d77dee1f 2023
729

Solve the following quadratic inequality: x2 − x - 4 ≤ 2

A.

−3 < x < 2

B.

−2 ≤ x ≤ 3

C.

x ≤ −2, x ≤ 3

D.

−2 < x < 3

View Answer

67ca00ce0c643c71d77dee1f 2023
730

Let '*' and '^' be two binary operations such that a * b = a2b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).

A.

-49

B.

64

C.

113

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2023
731

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mn>0</mn> <mn>1</mn> </msubsup> <mn>4</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <mroot> <msup> <mi>x</mi> <mn>2</mn> </msup> <mn>3</mn> </mroot> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫1 0 4x−63√x2−dx

A.

- 5/8

B.

-8/5

C.

8/5

D.

5/8

View Answer

67ca00ce0c643c71d77dee1f 2023
732

Find the area, to the nearest cm2, of the triangle whose sides are in the ratio 2 : 3 : 4 and whose perimeter is 180 cm.

A.

1162 cm2

B.

1163 cm2

C.

1160 cm2

D.

1161 cm2

View Answer

67ca00ce0c643c71d77dee1f 2023
733

Find the value of y if 402y =102ten

A.

4

B.

2

C.

5

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2023
734

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </math>

Find the matrix A

A.

B.

C.

D.

View Answer

67ca00ce0c643c71d77dee1f 2023
735

Evaluate: 16(0.16) × 16(0.04)(0.04) × 2(0.2)

A.

 2

B.

 0

C.

20

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2023
736

An article when sold for ₦230.00 makes a 15% profit. Find the profit or loss % if it was sold for ₦180.00

A.

10% gain

B.

10% loss

C.

12% loss

D.

12% gain

View Answer

67ca00ce0c643c71d77dee1f 2023
737

Let a binary operation '*' be defined on a set A. The operation will be commutative if

A.

a*b = b*a

B.

(a*b)*c = a*(b*c)

C.

(b ο c)*a = (b*a) ο (c*a)

D.

None of the above

View Answer

67ca00ce0c643c71d77dee1f 2023
738

The diagram above is a circle with centre C. P, Q and S are points on the circumference. PS and SR are tangents to the circle. ∠PSR = 36o . Find ∠PQR

A.

72o

B.

36o

C.

144o

D.

54o

View Answer

67ca00ce0c643c71d77dee1f 2023
739

Find the value of t, if the distance between the points P(–3, –14) and Q(t, –5) is 9 units.

A.

3

B.

2

C.

- 3

D.

- 2

View Answer

67ca00ce0c643c71d77dee1f 2023
740

Determine the area of the region bounded by y = 2x2 + 10 and Y = 4x + 16 .

A.

18

B.

−10/3

C.

44/3

D.

64/3

View Answer

67ca00ce0c643c71d77dee1f 2023
741

The ages of students in a small primary school were recorded in the table below. Estimate the mean

A.

7.7

B.

7.5

C.

7.8

D.

7.6

View Answer

67ca00ce0c643c71d77dee1f 2023
742

A coin is thrown 3 times. What is the probability that atleast one head is obtained?

A.

7/8

B.

3/8

C.

None the above

D.

1/8

View Answer

67ca00ce0c643c71d77dee1f 2023
743

If A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find (A – B) ⋃ (B – A).

A.

{1, 3, 5, 8}

B.

{8}

C.

{1, 2, 3, 4, 5, 6, 8}

D.

{1, 3, 5}

View Answer

67ca00ce0c643c71d77dee1f 2023
744

Calculate, correct to three significant figures, the length of the arc AB in the diagram above.[Take π=22/7]

A.

32.4 cm

B.

30.6 cm

C.

28.8 cm

D.

30.5 cm

View Answer

67ca00ce0c643c71d77dee1f 2023
745

Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x+2y+4=0

A.

3y = 5x - 2

B.

y = 5/3× − 2

C.

None of these

D.

3y = 2x + 5

View Answer

67ca00ce0c643c71d77dee1f 2023
746

Calculate the mean deviation of the first five prime numbers.

A.

2.72

B.

5.6

C.

 5.25

D.

13.6

View Answer

67ca00ce0c643c71d77dee1f 2023
747

The population of a village decreased from 1,230 to 1,040 due to breakout of an epidemic. What is the percentage decrease in the population?

A.

15.44%

B.

15.43%

C.

15.42%

D.

15.45%

View Answer

67ca00ce0c643c71d77dee1f 2023
748

Find the compound interest (CI) on ₦15,700 for 2 years at 8% per annum compounded annually.

A.

₦6,212.48

B.

₦2,834.48

C.

₦18,312.48

D.

₦2,612.48

View Answer

67ca00ce0c643c71d77dee1f 2023
749

A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.

A.

217o

B.

323o

C.

037o

D.

053o

View Answer

67ca00ce0c643c71d77dee1f 2023
750

The area A of a circle is increasing at a constant rate of 1.5 cm 2s−1 . Find, to 3 significant figures, the rate at which the radius r of the circle is increasing when the area of the circle is 2 cm2 .

A.

0.200 cms−1

B.

0.798 cms−1

C.

0.300 cms−1

D.

0.299 cms−1

View Answer

67ca00ce0c643c71d77dee1f 2023
751

The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms

A.

201

B.

144

C.

198

D.

72

View Answer

67ca00ce0c643c71d77dee1f 2023
752

If (3−√3)/(2+√3) = a + b√3, what are the values a and b?

A.

a = 9, b = -5

B.

a = 5, b = 9

C.

a = 9, b = 5

D.

a = -5, b = 9

View Answer

67ca00ce0c643c71d77dee1f 2023
753

A man sells different brands of an items. 1/9 of the items he has in his shop are from Brand A, 5/8 of the remainder are from Brand B and the rest are from Brand C. If the total number of Brand C items in the man's shop is 81, how many more Brand B items than Brand C does the shop has?

A.

243

B.

108

C.

54

D.

135

View Answer

67ca00ce0c643c71d77dee1f 2023
754

The interior angle of a regular polygon is five times the size of its exterior angle. Identify the polygon.

A.

dodecagon

B.

enneadecagon

C.

icosagon

D.

hendecagon

View Answer

67ca00ce0c643c71d77dee1f 2023
755

Find the volume of the cylinder above[Take π=22/7 ]

A.

9,856 cm3

B.

14,784 cm3

C.

 4,928 cm3

D.

19,712 cm3

View Answer

67ca00ce0c643c71d77dee1f 2023
756

The angle of elevation and depression of the top and bottom of another building, measured from the top of a 24 m tall building, is 30° and 60°, respectively. Determine the second building's height.

A.

24 m

B.

32√3m

C.

24√3

D.

32 m

View Answer

67ca00ce0c643c71d77dee1f 2023
757

The locus of a point equidistant from two intersecting lines is

A.

where the sum of the distances of two focal points is fixed

B.

the collection of points that are equally distant from a fixed point and a line

C.

the perpendicular bisector of the lines

D.

pair of bisectors of the angles between the two lines

View Answer

67ca00ce0c643c71d77dee1f 2023
758

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> <mtd> <mn>3</mn> </mtd> </mtr> <mtr> <mtd> <mn>4</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>2</mn> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </math>

If D = [241−11−3321] Find |D|

A.

16

B.

14

C.

-23

D.

-37

View Answer

67ca00ce0c643c71d77dee1f 2023
759

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mn>16</mn> <msup> <mi>x</mi> <mn>4</mn> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mi>y</mi> <mn>4</mn> </msup> </math> = <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </math>

Factorize: 16x4−y4

A.

(2x−y)(2x+y)(4x2+y2)

B.

(2x+y)(2x+y)(4x2+y2)

C.

(2x−y)(2x−y)(4x2+y2)

D.

(2x−y)(2x+y)(4x2−y2)

View Answer

67ca00ce0c643c71d77dee1f 2023
760

The ages of students in a small primary school were recorded in the table below. Estimate the median.

A.

7.725

B.

6.225

C.

 7.5

D.

6.5

View Answer

67ca00ce0c643c71d77dee1f 2023
761

Factorize 4a2 - 9b2

A.

(2a-3b) (2a+3b)

B.

(2a-b) (2a+3b)

C.

(2a-3b) (a+3b)

D.

(a-3b) (a+3b)

View Answer

67ca00ce0c643c71d77dee1f 2022
762

Evaluate Log2 8√2

A.

3.0

B.

4.5

C.

3.5

D.

2.5

View Answer

67ca00ce0c643c71d77dee1f 2022
763

What will be the result obtained when the numerator of 96/50 is decreased by 37.5% and its denominator decreased by 20%.

A.

1.5

B.

5/2

C.

96/48

D.

0.5

View Answer

67ca00ce0c643c71d77dee1f 2022
764

In the diagram above, XY = 8cm and OX = 5cm. Find Oz

A.

9cm

B.

3.4cm

C.

9.1cm

D.

3cm

View Answer

67ca00ce0c643c71d77dee1f 2022
765

If sin θ = - 3/5 and θ lies in the third quadrant, find cos θ

A.

4/5

B.

-1 1/4

C.

 5/4

D.

 - 4/5

View Answer

67ca00ce0c643c71d77dee1f 2022
766

Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gift+B10s(g), savings(s) and some B28miscellaneous (m) as indicate in the table below: If the above information is represented on a pie chart. What angle represents his spending on food?

A.

108.5

B.

100.8

C.

98.8

D.

120.5

View Answer

67ca00ce0c643c71d77dee1f 2022
767

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msup> <mi>x</mi> <mn>3</mn> </msup> <mo>+</mo> <mn>6</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>7</mn> </mrow> <mrow> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </mfrac> </math>

find the limit of y = x3+6x−7/x−1 as x tends to 1

A.

9

B.

8

C.

0

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2022
768

If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median

A.

5.5

B.

5

C.

6.5

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2022
769

Simplify 1/(3−√2) in the form of p + q√2

A.

7/(3 - 1/7√2)

B.

7/(3 + 1/7√2)

C.

3/(7 - 1/7√2)

D.

3/(7 + √2/7)

View Answer

67ca00ce0c643c71d77dee1f 2022
770

Given that S = 3t2 + 5t - 10 is displacement of a particle in metres, calculate it initial velocity.

A.

10m/s

B.

2m/s

C.

5m/s

D.

6m/s

View Answer

67ca00ce0c643c71d77dee1f 2022
771

In how many ways can the letter of ZOOLOGY be arranged?

A.

720

B.

 360

C.

840

D.

120

View Answer

67ca00ce0c643c71d77dee1f 2022
772

The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by?

A.

( 1/2, 15/2)

B.

( 1/2, −15/2)

C.

( −1/2, −15/2)

D.

( −1/2, 15/2)

View Answer

67ca00ce0c643c71d77dee1f 2022
773

Find x if the mean of 2x, 4x, 2x - 13 and 6x is 4.

A.

1.5

B.

2.0

C.

1.0

D.

 0.5

View Answer

67ca00ce0c643c71d77dee1f 2022
774

Find the determinant of the matrix A = (2133)

A.

4

B.

2

C.

5

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2022
775

Calculate the median of 14, 17, 10, 13, 18 and 10

A.

12.5

B.

13.5

C.

13.2

D.

14.5

View Answer

67ca00ce0c643c71d77dee1f 2022
776

Three times a certain number (x), minus 2 is less than the number minus 6.Find the possible values of x.

A.

x <-2

B.

x>2

C.

x>-2

D.

x<2

View Answer

67ca00ce0c643c71d77dee1f 2022
777

Find the length of a chord 3cm from the centre of a circle of radius 5cm

A.

8cm

B.

5.6cm

C.

7cm

D.

6.5cm

View Answer

67ca00ce0c643c71d77dee1f 2022
778

The number line represented by the inequality

A.

x≤2

B.

 x<2

C.

 x≥2

D.

 x>2

View Answer

67ca00ce0c643c71d77dee1f 2022
779

A poultry farmer realized 200 eggs from his birds and sold 5(1/2) crates of eggs. What percentages of eggs are left?

A.

82.5%

B.

15%

C.

17.5%

D.

85%

View Answer

67ca00ce0c643c71d77dee1f 2022
780

The shaded portion in the venn diagram above represents?

A.

F - (E n F) - (G n F)

B.

E' n F n G'

C.

E u F u G

D.

F

View Answer

67ca00ce0c643c71d77dee1f 2022
781

If a fair coin is tossed twice, what is the probability of obtaining at least one head?

A.

0.25

B.

0.75

C.

 0.5

D.

 0.33

View Answer

67ca00ce0c643c71d77dee1f 2022
782

The equivalent of (10110.011)2 in base 10 is?

A.

26.325

B.

24.372

C.

42.443

D.

22.375

View Answer

67ca00ce0c643c71d77dee1f 2022
783

Evaluate n2 + 1C(n+5) if n = 3

A.

55

B.

45

C.

35

D.

25

View Answer

67ca00ce0c643c71d77dee1f 2022
784

A rectangular pyramid has an area 24cm2 and height 7.5cm. Find its volume?

A.

65.0cm3

B.

70.5cm3

C.

56.5cm3

D.

60.0cm3

View Answer

67ca00ce0c643c71d77dee1f 2022
785

Given that r = √(3v/πh), make v the subject of the formula

A.

v = 3 πr2 h

B.

v = πrh/3

C.

v =  πr2h/3

D.

v = 3πrh

View Answer

67ca00ce0c643c71d77dee1f 2022
786

The locus of points equidistant from a fixed point.

A.

circle

B.

perpendicular lines

C.

straight line

D.

bisector

View Answer

67ca00ce0c643c71d77dee1f 2022
787

If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)

A.

10

B.

 30

C.

 15

D.

40

View Answer

67ca00ce0c643c71d77dee1f 2022
788

Solve for k in the equation 1/8k+2 = 1

A.

2

B.

-4

C.

-2

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2022
789

The cost C of running a school is directly proportional to the number of students N, if 20 students cost #10,000, How many students can #1,000,000 cover?

A.

3000

B.

1000

C.

2000

D.

4000

View Answer

67ca00ce0c643c71d77dee1f 2022
790

The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

A.

35/3

B.

64

C.

16

D.

35/2

View Answer

67ca00ce0c643c71d77dee1f 2022
791

If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12

A.

4

B.

1

C.

2

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2022
792

If a dress is sold for #3800.00 at 20% discount. what is its original price?

A.

#3,000.00

B.

#4,000.00

C.

 #5,000.00

D.

 #4,750.00

View Answer

67ca00ce0c643c71d77dee1f 2022
793

In the diagram above angle LNM and angle YNZ are represented by g and h respectively. Find ∠MNY

A.

180° - g° - h°

B.

360° - (g-h)°

C.

180° - (g-h)°

D.

360° - g° - h°

View Answer

67ca00ce0c643c71d77dee1f 2022
794

If sec2θ + tan2θ = 3, then the angle θ is equal to?

A.

90°

B.

30°

C.

45°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2022
795

If 8, p, q and 26 is an A.P. Find the values of p and q

A.

p = 14 and q = 14

B.

 p = 20 and q = 14

C.

 p = 20 and q = 20

D.

 p = 14 and q = 20

View Answer

67ca00ce0c643c71d77dee1f 2022
796

Evaluate (101two)3

A.

111101two

B.

11111101two

C.

1111101two

D.

11001two

View Answer

67ca00ce0c643c71d77dee1f 2022
797

Find the equation of a straight line parallel to the line 2x - y = 5 and having intercept of 5

A.

2x + y = 5

B.

2x + y = -5

C.

2x - y = -5

D.

2x - y = 5

View Answer

67ca00ce0c643c71d77dee1f 2022
798

Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)2, then find 3 * 5

A.

223

B.

232

C.

32

D.

-232

View Answer

67ca00ce0c643c71d77dee1f 2022
799

Integrate (2x+1)3

A.

2x+13/8 + C

B.

2x+14/8 + C

C.

2x+14/4 + C

D.

2x+12/6 + C

View Answer

67ca00ce0c643c71d77dee1f 2022
800

If the binary operation ∗ is defined by m ∗ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

A.

e = 1

B.

e = -1

C.

e = -2

D.

e = 0

View Answer

67ca00ce0c643c71d77dee1f 2021
801

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>0.00275</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.00640</mn> </mrow> <mrow> <mn>0.025</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.08</mn> </mrow> </mfrac> </math>

Simplify and express in standard form (0.00275 × 0.00640)/(0.025 × 0.08)

A.

8.8 x 10-1

B.

8.8 x 10-2

C.

8.8 x 10-2

D.

8.8 x 103

View Answer

67ca00ce0c643c71d77dee1f 2021
802

If w varies inversely as (uv)/(u + v) and w = 8 when u = 2 and v = 6, find a relationship between u, v, w.

A.

uvw = 16(u + v)

B.

16uv = 3w(u + v)

C.

uvw = 12(u + v)

D.

12uvw = u + v

View Answer

67ca00ce0c643c71d77dee1f 2021
803

What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?

A.

B.

16π

C.

D.

View Answer

67ca00ce0c643c71d77dee1f 2021
804

Find x if log9 x = 1.5

A.

27

B.

15

C.

3.5

D.

32

View Answer

67ca00ce0c643c71d77dee1f 2021
805

Simplify 2log 2/5 -log72/125 + log 9

A.

1 - 4 log3

B.

-1 + 2 log 3

C.

-1 + 5 log2

D.

1 - 2log 2

View Answer

67ca00ce0c643c71d77dee1f 2021
806

Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?

A.

9

B.

8

C.

7

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2021
807

Simplify √27 + 3/√3

A.

4√3

B.

4/√3

C.

3√3

D.

√3/4

View Answer

67ca00ce0c643c71d77dee1f 2021
808

factorize m3 - m2 + 2m - 2

A.

(m2 + 1)(m - 2)

B.

(m - 1)(m + 1)(m + 2)

C.

(m - 2)(m + 1)(m - 1)

D.

(m2 + 2)(m - 1)

View Answer

67ca00ce0c643c71d77dee1f 2021
809

The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles​

A.

5x - 30

B.

4x + 60

C.

60 - x

D.

3x + 61

View Answer

67ca00ce0c643c71d77dee1f 2021
810

If g(x) = x22 + 3x find g(x + 1) - g(x)

A.

(x + 2)

B.

2(x + 2)

C.

(2x + 1)

D.

(x2 + 4)

View Answer

67ca00ce0c643c71d77dee1f 2021
811

Correct 241.34(3 x 10-3 )22 to 4 significant figures

A.

0.0014

B.

0.001448

C.

0.0022

D.

0.002172

View Answer

67ca00ce0c643c71d77dee1f 2021
812

If (x + 2) and (x - 1) are factors of the expression Lx+2kx2+24 , find the values of L and k.

A.

l = -12, k = -6

B.

l = -2 , k = 1

C.

l = -2 , k = -1

D.

l = 0, k = 1

View Answer

67ca00ce0c643c71d77dee1f 2021
813

A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

A.

25

B.

19

C.

18

D.

17

View Answer

67ca00ce0c643c71d77dee1f 2021
814

Three children shared a basket of mangoes in such a way that the first child took 1/4 of the mangoes and the second 3/4 of the remainder. What fraction of the mangoes did the third child take?

A.

3/16

B.

7/16

C.

9/16

D.

13/16

View Answer

67ca00ce0c643c71d77dee1f 2021
815

Musa borrows N10.00 at 2% per month simple interest and repays N8.00 after 4 months. How much does he still owe?

A.

N10.80

B.

N10.67

C.

N2.80

D.

N2.67

View Answer

67ca00ce0c643c71d77dee1f 2021
816

Find the length of a side of a rhombus whose diagonals are 6 cm and 8 cm

A.

8 cm

B.

5 cm

C.

4 cm

D.

3 cm

View Answer

67ca00ce0c643c71d77dee1f 2021
817

Factorize completely 81a4 - 16b4

A.

(3a + 2b)(2a - 3b)(9a2 + 4b2)

B.

(3a - 2b)(2a - 3b)(4a2 - 9b2)

C.

(3a - 2b)(3a + 2b)(9a2 + 4b2)

D.

(6a - 2b)(8a - 3b)(4a3 - 9b2)

View Answer

67ca00ce0c643c71d77dee1f 2021
818

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius

A.

6.5 units

B.

13.0 units

C.

3.5 units

D.

7.0 units

View Answer

67ca00ce0c643c71d77dee1f 2021
819

List all integers satisfying the inequality in -2 < 2x-6 < 4

A.

2,3,4 and 5

B.

2,3

C.

2,5

D.

3,4

View Answer

67ca00ce0c643c71d77dee1f 2021
820

What is the n-th term of the sequence 2, 6, 12, 20...?

A.

4n - 2

B.

2(3(n - 1))

C.

n2 + n

D.

n2 + 3n + 2

View Answer

67ca00ce0c643c71d77dee1f 2021
821

Find the derivative of the function y = 2x2(2x - 1) at the point x = -1?

A.

18

B.

16

C.

-4

D.

-6

View Answer

67ca00ce0c643c71d77dee1f 2021
822

The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number

A.

3

B.

16

C.

38

D.

30

View Answer

67ca00ce0c643c71d77dee1f 2021
823

Solve the following equation: 2(2r−1) - 5/3 = 1(r+2)

A.

( -1, 5/2 )

B.

( 1, - 5/2 )

C.

( 5/2, 1 )

D.

(2,1)

View Answer

67ca00ce0c643c71d77dee1f 2021
824

Find the probability that a number selected at random from 41 to 56 is a multiple of 9

A.

1/8

B.

2/15

C.

3/16

D.

7/8

View Answer

67ca00ce0c643c71d77dee1f 2021
825

At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?

A.

1/2 %

B.

2(1/2)%

C.

1.5%

D.

25%

View Answer

67ca00ce0c643c71d77dee1f 2021
826

4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16

A.

48°

B.

84°

C.

92°

D.

276°

View Answer

67ca00ce0c643c71d77dee1f 2021
827

A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.

A.

153π cm3

B.

207π cm3

C.

15300π cm3

D.

20700π cm3

View Answer

67ca00ce0c643c71d77dee1f 2021
828

A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

A.

(p+q)/(pw + qu)

B.

(uw(p+q))/(pw + qu)

C.

uw(p+q)/pw

D.

uwpw+qu

View Answer

67ca00ce0c643c71d77dee1f 2021
829

Three brothers in a business deal share the profit at the end of a contract. The first received 13 of the profit and the second 23 of the remainder. If the third received the remaining N12000.00 how much profit did they share?

A.

N60 000.00

B.

N54 000.00

C.

N48 000.00

D.

N42 000.00

View Answer

67ca00ce0c643c71d77dee1f 2021
830

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351 cm3 , then the volume of the other block is?

A.

234.00 cm3

B.

526.50 cm3

C.

166.00 cm3

D.

687cm3

View Answer

67ca00ce0c643c71d77dee1f 2021
831

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid solid solid solid" columnlines="solid"> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mn>3</mn> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mn>4</mn> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mtd> </mtr> </mtable> </math>

Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?

A.

2/3

B.

1/2

C.

1/3

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2021
832

determine the maximum value of y=3x2 + 5x - 3

A.

6

B.

0

C.

2

D.

No correct option

View Answer

67ca00ce0c643c71d77dee1f 2021
833

A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm2 , find the distance between the parallel sides

A.

13 cm

B.

4 cm

C.

6 cm

D.

7 cm

View Answer

67ca00ce0c643c71d77dee1f 2021
834

find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?

A.

-2/7

B.

7/6

C.

-6/7

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2021
835

Find the mean deviation of 1, 2, 3 and 4

A.

1.0

B.

1.5

C.

2.0

D.

2.5

View Answer

67ca00ce0c643c71d77dee1f 2021
836

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the?

A.

perpendicular bisector of the two lines

B.

angle bisector of the two lines

C.

bisector of the two lines

D.

line parallel to the two lines

View Answer

67ca00ce0c643c71d77dee1f 2021
837

The angle of a sector of a circle, radius 10.5 cm, is 48°, Calculate the perimeter of the sector

A.

8.8 cm

B.

25.4 cm

C.

25.6 cm

D.

29.8 cm

View Answer

67ca00ce0c643c71d77dee1f 2021
838

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>I</mi> <mi>n</mi> <msup> <mspace width="1mm" /> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msup> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="1mm" /> <mi>w</mi> <mi>a</mi> <mi>y</mi> <mi>s</mi> <mspace width="1mm" /> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>5</mn> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>2</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> <mo>!</mo> </mrow> <mrow> <mn>3</mn> <mo>!</mo> <mn>2</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> <mo>&#x00D7;<!-- × --></mo> <mn>4</mn> <mo>&#x00D7;<!-- × --></mo> <mn>3</mn> <mo>!</mo> </mrow> <mrow> <mn>3</mn> <mo>!</mo> <mo>&#x00D7;<!-- × --></mo> <mn>2</mn> <mo>&#x00D7;<!-- × --></mo> <mn>1</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mn>10</mn> <mspace width="1mm" /> <mi>w</mi> <mi>a</mi> <mi>y</mi> <mi>s</mi> </math>

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

A.

25 ways

B.

10 ways

C.

15 ways

D.

20 ways

View Answer

67ca00ce0c643c71d77dee1f 2021
839

Divide: ax3x - 26x2x + 156ax - 216 by a2x - 24ax + 108

A.

ax - 2

B.

ax + 2

C.

ax - 8

D.

ax - 6

View Answer

67ca00ce0c643c71d77dee1f 2001
840

Find the principal which amounts to N5,500 at a simple interest in 5 years at 2% per annum.

A.

N4,900

B.

N5,000

C.

N4,700

D.

N4,800

View Answer

67ca00ce0c643c71d77dee1f 2001
841

The identity element with respect to the multiplication shown in the table above is

A.

o

B.

m

C.

i

D.

k

View Answer

67ca00ce0c643c71d77dee1f 2001
842

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>p</mi> <mo>=</mo> <mn>1</mn> <mo>+</mo> <msqrt> <mn>2</mn> </msqrt> <mspace width="1mm"></mspace> <mi>a</mi> <mi>n</mi> <mi>d</mi> <mspace width="1mm"></mspace> <mi>q</mi> <mo>=</mo> <mn>1</mn> <mo>&#x2212;</mo> <msqrt> <mn>2</mn> </msqrt> <mo>,</mo> <mspace width="1mm"></mspace> <mi>e</mi> <mi>v</mi> <mi>a</mi> <mi>l</mi> <mi>u</mi> <mi>a</mi> <mi>t</mi> <mi>e</mi> <mspace width="1mm"></mspace> <mfrac> <mrow> <mo stretchy="false">(</mo> <msup> <mi>p</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <msup> <mi>q</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>p</mi> <mi>q</mi> </mrow> </mfrac> </math>

Given that p = 1 + √2 and q = 1 - √2, evaluate (p2 - q2 /2pq)

A.

2(2+√2)

B.

-2(2+√2)

C.

2√2

D.

-2√2

View Answer

67ca00ce0c643c71d77dee1f 2001
843

If 6Pr = 6, find the value of If 6Pr+1

A.

30

B.

33

C.

35

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2001
844

The histogram shows the distribution of passengers in taxis at a certain motor park. How many taxis have more than 4 passengers?

A.

17

B.

16

C.

15

D.

14

View Answer

67ca00ce0c643c71d77dee1f 2001
845

Factorize 4x2 - 9y2 + 20x + 25

A.

(2x -3y + 5)(2x - 3y - 5)

B.

(2x - 3y)(2x + 3y)

C.

(2x - 3y +5)(2x + 3y + 5)

D.

(2x + 5)(2x - 9y +5)

View Answer

67ca00ce0c643c71d77dee1f 2001
846

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. The mean score is

A.

7.0

B.

8.7

C.

9.5

D.

11.0

View Answer

67ca00ce0c643c71d77dee1f 2001
847

Find the range of these fractions: 1/6, 1/3, 3/2, 2/3, 8/9 and 4/3.

A.

3/4

B.

5/6

C.

7/6

D.

4/3

View Answer

67ca00ce0c643c71d77dee1f 2001
848

(SOLUTION) <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>T</mi> <mi>h</mi> <mi>e</mi> <mspace width="1mm"></mspace> <mi>m</mi> <mi>e</mi> <mi>a</mi> <mi>n</mi> <mspace width="1mm"></mspace> <mrow data-mjx-texclass="ORD"> <mover> <mi>x</mi> <mo stretchy="false">&#xAF;</mo> </mover> </mrow> <mo>=</mo> <mfrac> <mrow> <mo data-mjx-texclass="OP">&#x2211;</mo> <mrow data-mjx-texclass="ORD"> <mi>x</mi> </mrow> </mrow> <mi>n</mi> </mfrac> <mo>=</mo> <mfrac> <mn>30</mn> <mn>6</mn> </mfrac> <mo>=</mo> <mn>5</mn> <mtext mathcolor="red">\Variance</mtext> <mspace width="1mm"></mspace> <mo>=</mo> <mfrac> <mrow> <mo data-mjx-texclass="OP">&#x2211;</mo> <mo stretchy="false">(</mo> <mrow data-mjx-texclass="ORD"> <mi>x</mi> <mo>&#x2212;</mo> <mrow data-mjx-texclass="ORD"> <mover> <mi>x</mi> <mo stretchy="false">&#xAF;</mo> </mover> </mrow> </mrow> <msup> <mo stretchy="false">)</mo> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mi>n</mi> </mfrac> <mo>=</mo> <mfrac> <mn>30</mn> <mn>6</mn> </mfrac> <mo>=</mo> <mn>5</mn> </math>

Find the variance of 2, 6, 8, 6 2, and 6.

A.

6

B.

5

C.

√6

D.

√5

View Answer

67ca00ce0c643c71d77dee1f 2001
849

The bar chart above shows different colours of passing a particular point of a certain street in two minutes. What fraction of the total number of cars is yellow?

A.

3/25

B.

2/25

C.

1/5

D.

4/15

View Answer

67ca00ce0c643c71d77dee1f 2001
850

Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3).

A.

4

B.

6

C.

3

D.

0

View Answer

67ca00ce0c643c71d77dee1f 2001
851

If the gradient of the curve y = 2kx2 + x + 1 at x = 1 is 9, find k.

A.

4

B.

3

C.

2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2001
852

Evaluate (0.142 x 0.275) 7(0.02) to 3 decimal places.

A.

0.039

B.

0.358

C.

0.033

D.

0.308

View Answer

67ca00ce0c643c71d77dee1f 2001
853

Triangle SPT is the solution of the linear inequalitie

A.

2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, x ≥ 0

B.

2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, -2 ≥ x ≥ -1

C.

-2 ≥ x ≥ 2, y ≤ 0, y + 2x + 2 ≥ 0, x ≥ 0

D.

2y - x - 2 ≥ 0, y + 2x + 2 ≥ 0, y ≤ 0, x ≥ 0

View Answer

67ca00ce0c643c71d77dee1f 2001
854

An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.

A.

4

B.

0

C.

-2

D.

-4

View Answer

67ca00ce0c643c71d77dee1f 2001
855

Triangle SPT is the solution of the linear inequalities

A.

2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, -2 ≤ x ≤ - 1

B.

-2 ≤ x ≤ 2, y ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0

C.

2y - x - 2 ≤ 0, y + 2x + 2 ≤ 0, y ≥ 0, x ≤ 0

D.

2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0

View Answer

67ca00ce0c643c71d77dee1f 2001
856

Solution. <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>y</mi> <mo>=</mo> <mi>p</mi> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>q</mi> <mtext mathcolor="red">\y</mtext> <mo>=</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <mn>1</mn> <mspace linebreak="newline"></mspace> <mi>R</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mi>a</mi> <mi>r</mi> <mi>r</mi> <mi>o</mi> <mi>w</mi> <mi>p</mi> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>q</mi> <mo>=</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <mn>1</mn> <msup> <mtext mathcolor="red">\px</mtext> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <mn>1</mn> <mo>&#x2212;</mo> <mi>q</mi> <mtext mathcolor="red">\p</mtext> <mo>=</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <mi>q</mi> <mo>&#x2212;</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> </mfrac> <mtext mathcolor="red">\At</mtext> <mspace width="1mm"></mspace> <mi>x</mi> <mo>=</mo> <mn>2</mn> <mtext mathcolor="red">\p</mtext> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <msup> <mn>2</mn> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>&#x2212;</mo> <mn>1</mn> <mo>&#x2212;</mo> <mi>q</mi> <mo stretchy="false">)</mo> </mrow> <msup> <mn>2</mn> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> </mfrac> <mtext mathcolor="red">\p</mtext> <mo>=</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>8</mn> <mo>&#x2212;</mo> <mn>1</mn> <mo>&#x2212;</mo> <mi>q</mi> <mo stretchy="false">)</mo> </mrow> <mn>4</mn> </mfrac> <mtext mathcolor="red">\=</mtext> <mfrac> <mrow> <mn>7</mn> <mo>&#x2212;</mo> <mi>q</mi> </mrow> <mn>4</mn> </mfrac> </math>

If two graphs y = px2+ q and y = 2x2 -1 intersect at x = 2, find the value of p in terms q.

A.

(q-8)/7

B.

(7-q)/4

C.

(8-q)/2

D.

(7-q)/8

View Answer

67ca00ce0c643c71d77dee1f 2001
857

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mfrac> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>3</mn> </mrow> </msup> <msup> <mi>y</mi> <mrow data-mjx-texclass="ORD"> <mn>3</mn> </mrow> </msup> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> <mo>&#xF7;</mo> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&#x2212;</mo> <mfrac> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>y</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> </math>

If x = y/2, evaluate (x2 / y2 + 1/2) / (1/2 - x2 / y2)

A.

5/8

B.

5/2

C.

5/4

D.

5/16

View Answer

67ca00ce0c643c71d77dee1f 2001
858

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.

A.

6

B.

2

C.

3

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2001
859

A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line.

A.

y = (x/10) + 5

B.

y = x + 5

C.

√3y = - x + 5√3

D.

√3y = x + 5√3

View Answer

67ca00ce0c643c71d77dee1f 2001
860

The bar chart shows different colours of cars passing a particular point of a certain street in two minutes. What fraction of the cars is yellow

A.

1/5

B.

2/25

C.

4/15

D.

3/25

View Answer

67ca00ce0c643c71d77dee1f 2001
861

a sector of a circle of radius 7.2cm which subtends an angle of 300° at the centre is used to form a cone. What is the radius of the base of the cone?

A.

8cm

B.

6cm

C.

9cm

D.

7cm

View Answer

67ca00ce0c643c71d77dee1f 2001
862

Teams P and Q are involved in a game of football. What is the probability that the game ends in a draw?

A.

2/3

B.

1/2

C.

1/3

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2001
863

Find the number of ways of selecting 8 subjects from 12 subjects for an examination.

A.

490

B.

495

C.

496

D.

498

View Answer

67ca00ce0c643c71d77dee1f 2001
864

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo stretchy="false">(</mo> <mroot> <mrow> <mn>64</mn> <msup> <mi>a</mi> <mrow data-mjx-texclass="ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mn>3</mn> </mroot> <msup> <mo stretchy="false">)</mo> <mrow data-mjx-texclass="ORD"> <mo>&#x2212;</mo> <mn>1</mn> </mrow> </msup> </math>

Simplify (3√(64a3))<−1

A.

4a

B.

1/8a

C.

8a

D.

1/4a

View Answer

67ca00ce0c643c71d77dee1f 2001
865

In the figure above, PQR is a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, ∠SQR is 75o and ∠QPT is 25o. Calculate the value of ∠RST.

A.

45°

B.

55°

C.

25°

D.

55°

View Answer

67ca00ce0c643c71d77dee1f 2001
866

The histogram above shows the distribution of passengers in taxis of a certain motor park. How many taxis have more than 4 passengers

A.

16

B.

17

C.

14

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2001
867

Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.

A.

square of sides p

B.

square of sides 2p

C.

square of sides (p/2)

D.

square of sides (p/4)

View Answer

67ca00ce0c643c71d77dee1f 2001
868

Find the area bounded by the curves y = 4 - x2 and y = 2x + 1

A.

20(1/3) sq. units

B.

20(2/3) sq. units

C.

10(2/3) sq. units

D.

10(1/3) sq. units

View Answer

67ca00ce0c643c71d77dee1f 2001
869

The graph shows the cumulative frequency of the distribution of masses of fertilizer for 48 workers in one institution. Which of the following gives the inter-quartile range?

A.

1/2(Q3 - Q1

B.

(Q3 - Q2

C.

(Q3 - Q2

D.

(Q3 - Q1

View Answer

67ca00ce0c643c71d77dee1f 2001
870

Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.

A.

12π

B.

C.

24π

D.

View Answer

67ca00ce0c643c71d77dee1f 2001
871

A point P moves such that it is equidistant from Points Q and R. Find QR when PR = 8cm and angle PRQ = 30°

A.

4√3cm

B.

8cm

C.

8√3cm

D.

4cm

View Answer

67ca00ce0c643c71d77dee1f 2001
872

The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST.

A.

πr/6

B.

πr/2

C.

πr/12

D.

πr/3

View Answer

67ca00ce0c643c71d77dee1f 2001
873

If y = x sinx, find dy/dx when x = π/2.

A.

-π/2

B.

-1

C.

1

D.

π/2

View Answer

67ca00ce0c643c71d77dee1f 2001
874

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo>&#x2264;</mo> </math>

Find the integral values of x and y satisfying the inequality 3y + 5x( less than equal to) 15, given that y > 0, y < 3 and x > 0.

A.

(1,1), (1,2), (1,3)

B.

(1,1), (2,1), (1,3)

C.

(1,1), (3,1), (2,2)

D.

(1,1), (1,2), (2,1)

View Answer

67ca00ce0c643c71d77dee1f 2001
875

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode.

A.

49

B.

121

C.

25

D.

64

View Answer

67ca00ce0c643c71d77dee1f 2001
876

The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q.

A.

040°

B.

070°

C.

280°

D.

320°

View Answer

67ca00ce0c643c71d77dee1f 2001
877

The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to

A.

Zero

B.

half of the common difference

C.

double the common difference

D.

the common difference

View Answer

67ca00ce0c643c71d77dee1f 2001
878

The time taken to do a piece of work is inversely proportional to the number of men employed. if it takes 45 men to do a piece of work in 5 days, how long will it take 25 men

A.

15 days

B.

12 days

C.

5 days

D.

9 days

View Answer

67ca00ce0c643c71d77dee1f 2002
879

A chord of a circle subtends an angle of 120° degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.

A.

4π cm2

B.

32 π cm2

C.

16 π cm2

D.

8 π cm2

View Answer

67ca00ce0c643c71d77dee1f 2002
880

Solve for x in the equation x3 - 5x2 - x + 5 = 0

A.

1, - 1, or 5

B.

1, 1, or -5

C.

-1, 1, or -5

D.

1, 1, or 5

View Answer

67ca00ce0c643c71d77dee1f 2002
881

How many three-digit numbers can be formed from 32564 without repeating any of the digits?

A.

120

B.

10

C.

20

D.

60

View Answer

67ca00ce0c643c71d77dee1f 2002
882

The locus of a point P which is equidistant from two given points S and T is

A.

the perpendicular bisector of ST

B.

the angle bisector of PS and ST

C.

a perpendicular to ST

D.

a line parallel to ST

View Answer

67ca00ce0c643c71d77dee1f 2002
883

In the diagram above, PST is a straight line, PQ = QS = RS. If ∠RST = 72°, find x

A.

36°

B.

18°

C.

72°

D.

24°

View Answer

67ca00ce0c643c71d77dee1f 2002
884

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo stretchy="false">(</mo> <msqrt> <mn>0.7</mn> </msqrt> <mo>+</mo> <msqrt> <mn>70</mn> </msqrt> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </math>

Simplify (√0.7+√70)2

A.

84.7

B.

70.7

C.

217.7

D.

168.7

View Answer

67ca00ce0c643c71d77dee1f 2002
885

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>0.21</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.072</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.00054</mn> </mrow> <mrow> <mn>0.006</mn> <mo>&#x00D7;<!-- × --></mo> <mn>1.68</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.063</mn> </mrow> </mfrac> </math>

Evaluate: 0.21×0.072×0.00054/0.006×1.68×0.063

A.

0.01286

B.

0.01285

C.

0.1286

D.

0.1285

View Answer

67ca00ce0c643c71d77dee1f 2002
886

If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x.

A.

2x2 - 3x

B.

x2 - 3x

C.

2x2 - 3x - 3

D.

2x2 - 3x + 3

View Answer

67ca00ce0c643c71d77dee1f 2002
887

In the diagram above are two concentric circles of radii r and R respectively with center O. If r = 2/3R, express the area of the shaded portion in terms of π and R

A.

21/25πR2

B.

9/25πR2

C.

21/23πR2

D.

5/9πR2

View Answer

67ca00ce0c643c71d77dee1f 2002
888

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo>&#x222B;<!-- ∫ --></mo> <mi>sin</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>3</mn> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>x</mi> </math>

Evaluate ∫sin3xdx

A.

(2/3) cos 3x + c

B.

(1/3) cos 3x + c

C.

(-1/3) cos 3x + c

D.

(-2/3) cos 3x + c

View Answer

67ca00ce0c643c71d77dee1f 2002
889

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo stretchy="false">(</mo> <mn>343</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <mo stretchy="false">(</mo> <mn>0.14</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <mo stretchy="false">(</mo> <mn>25</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> </math>

Without using tables, evaluate (343)(1/3) × (0.14)−1 × (25)(−1/2)

A.

10

B.

12

C.

8

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2002
890

The distribution above shows the number of days a group of 260 students were absents from school in a particular term. How many students were absent for at least four days in the term

A.

210

B.

40

C.

120

D.

160

View Answer

67ca00ce0c643c71d77dee1f 2002
891

The inverse function f(x) = 3x + 4 is

A.

(x-4)/3

B.

(x-5)/5

C.

(x+3)/4

D.

(x+4)/3

View Answer

67ca00ce0c643c71d77dee1f 2002
892

Simplify 52.4 - 5.7 - 3.45 - 1.75

A.

41.4

B.

41.5

C.

42.1

D.

42.2

View Answer

67ca00ce0c643c71d77dee1f 2002
893

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mi>x</mi> <mrow> <mi>r</mi> <mo>+</mo> <mi>a</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mi>a</mi> <mi>r</mi> </mfrac> </math>

ake r subject of the formula given that x/r+a = a/r

A.

a2/(x−a)

B.

a2/(x+a)

C.

a/(x - a)

D.

a/(x + a)

View Answer

67ca00ce0c643c71d77dee1f 2002
894

A solid hemisphere has a radius of 7 cm. Find the total surface area.

A.

400 cm2

B.

462 cm2

C.

66 cm2

D.

308 cm2

View Answer

67ca00ce0c643c71d77dee1f 2002
895

Find the coordinates of the mid-point of x and y intercepts of the line 2y = 4x - 8

A.

(2, 0)

B.

(1, -2)

C.

(-1, -2)

D.

(1, 2)

View Answer

67ca00ce0c643c71d77dee1f 2002
896

If the 9th term of an A.P is five times the 5th term, find the relationship between a and d.

A.

2a + 2 = 0

B.

3a + 5d = 0

C.

a + 3d = 0

D.

a + 2d = 0

View Answer

67ca00ce0c643c71d77dee1f 2002
897

A trader bought goats for N4000 each. He sold them for N180,000 at a loss of 25%. How many goats did he buy?

A.

60

B.

50

C.

45

D.

36

View Answer

67ca00ce0c643c71d77dee1f 2002
898

A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.

A.

304π/3 cm3

B.

144π cm3

C.

128π cm3

D.

72π cm3

View Answer

67ca00ce0c643c71d77dee1f 2002
899

Find the mean of the data: 7, -3, 4, -2, 5, -9, 4, 8, -6, 12

A.

3

B.

4

C.

1

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2002
900

The range of the data: k+2, k-3, k+4, k-2, k, k-5, k+3, k-1, and k+6 is

A.

10

B.

11

C.

6

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2002
901

The binary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4).

A.

59

B.

19

C.

67

D.

38

View Answer

67ca00ce0c643c71d77dee1f 2002
902

Find the maximum value of y in the equation y = 1 - 2x - 3x2

A.

5/4

B.

5/3

C.

3/4

D.

4/3

View Answer

67ca00ce0c643c71d77dee1f 2002
903

If -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7, find the value of c.

A.

4

B.

3

C.

2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2002
904

The triangle POR is

A.

an isosceles triange

B.

an obtuse angle

C.

a scalene triangle

D.

an equilateral triangle

View Answer

67ca00ce0c643c71d77dee1f 2002
905

If tan θ = 4/3, calculate sin2 θ - cos2 θ.

A.

16/25

B.

24/25

C.

7/25

D.

9/25

View Answer

67ca00ce0c643c71d77dee1f 2002
906

In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.

A.

180 πcm3

B.

162 πcm3

C.

216 πcm3

D.

198 πcm3

View Answer

67ca00ce0c643c71d77dee1f 2002
907

The venn diagram above shows the numbers of students offering music and history in a class of 80 students. If a student is picked at random from the class, what is the probability that he offers Music only?

A.

0.38

B.

0.13

C.

0.50

D.

0.25

View Answer

67ca00ce0c643c71d77dee1f 2002
908

A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area?

A.

B.

C.

π

D.

View Answer

67ca00ce0c643c71d77dee1f 2002
909

If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)

A.

4

B.

27

C.

√3

D.

√17

View Answer

67ca00ce0c643c71d77dee1f 2002
910

The triangle PQR above is

A.

an obtuse-angled triangle

B.

a scalene triangle

C.

an isosceles triangle

D.

an equilateral triangle

View Answer

67ca00ce0c643c71d77dee1f 2002
911

The slope of the tangent to the curve y = 3x2 - 2x + 5 at the point (1, 6) is

A.

4

B.

1

C.

6

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2002
912

Find the value of a if the line 2y - ax + 4 = 0 is perpendicular to the line y + (x/4) - 7 = 0

A.

-4

B.

4

C.

8

D.

-8

View Answer

67ca00ce0c643c71d77dee1f 2002
913

The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... Is

A.

11/3

B.

10/3

C.

5/2

D.

3/2

View Answer

67ca00ce0c643c71d77dee1f 2002
914

The probability of a student passing any exam is 2/3. If the student takes three exams, what is the probability that he will not pass any of them?

A.

2/3

B.

4/9

C.

8/27

D.

1/27

View Answer

67ca00ce0c643c71d77dee1f 2002
915

A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45°. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.

A.

9.0 m

B.

12. 0 m

C.

8.8 m

D.

10.4 m

View Answer

67ca00ce0c643c71d77dee1f 2002
916

Use the graph find the values of p and q if px + qy ≥ 4

A.

p = 2, q = -1

B.

p = -1, q = 2

C.

p = 2, q = 2

D.

p = 1, q = 2

View Answer

67ca00ce0c643c71d77dee1f 2002
917

If y=x2−1x. find dy/dx

A.

2x - (1/x2)

B.

2x + x2

C.

2x - x2

D.

2x + (1/x2)

View Answer

67ca00ce0c643c71d77dee1f 2002
918

If y = 3 sin(-4x), dy/dx is

A.

12x cos (4x)

B.

-12x cos (-4x)

C.

-12 cos (-4x)

D.

12 sin (-4x)

View Answer

67ca00ce0c643c71d77dee1f 2003
919

An arc of a circle subtends an angle of 30° on the circumference of a circle of radius 21cm. Find the length of the arc.

A.

11cm

B.

22cm

C.

44cm

D.

66cm

View Answer

67ca00ce0c643c71d77dee1f 2003
920

A bag contains 5 blacks balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red balls are picked?

A.

15/28

B.

13/28

C.

5/14

D.

3/14

View Answer

67ca00ce0c643c71d77dee1f 2003
921

Triangle OPQ above is the solution of the inequalities

A.

x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0

B.

y + x ≤ 0, y - x ≥ 0, x -1 ≥ 0

C.

x - 1 ≤ 0, y - x ≥ o, y + x ≥ 0

D.

x - 1 ≤ 0, y + x ≤ 0, y - x ≤ 0

View Answer

67ca00ce0c643c71d77dee1f 2003
922

Find the value of p, if the line of which passes through (-1, -p) and (-2, 2) is parallel to the line 2y + 8x – 17 = 0

A.

–2/7

B.

7/6

C.

–6/7

D.

6/7

View Answer

67ca00ce0c643c71d77dee1f 2003
923

The histogram above shows the ages of the victims of a pollution. How many people were involved in the pollution?

A.

15

B.

18

C.

20

D.

21

View Answer

67ca00ce0c643c71d77dee1f 2003
924

Simplify 1 - (7/3 x 5/4) + 3/5

A.

-16/15

B.

-79/60

C.

-37/15

D.

-151/60

View Answer

67ca00ce0c643c71d77dee1f 2003
925

Find the range of the value of x satisfying the inequalities 5 + x ≤ 8 and 13 + x ≥ 7

A.

-3 ≤ x ≤ 3

B.

3 ≤ x ≤ 6

C.

-6 ≤ x ≤ 3

D.

-6 ≤ x ≤ -3

View Answer

67ca00ce0c643c71d77dee1f 2003
926

x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?

A.

3

B.

4

C.

6

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2003
927

An aeroplane flies due north from airport P to Q and then flies due east R. If Q is equidistant from P and R, find the bearing of P and R

A.

90°

B.

135°

C.

225°

D.

270°

View Answer

67ca00ce0c643c71d77dee1f 2003
928

Simplify (√98 -√50)/√32

A.

3

B.

1

C.

1/2

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2003
929

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msub> <mi>x</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>x</mi> <mn>1</mn> </msub> </mrow> <mn>2</mn> </mfrac> <mo>;</mo> <mfrac> <mrow> <msub> <mi>y</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>y</mi> <mn>1</mn> </msub> </mrow> <mn>2</mn> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mo>&#x2212;</mo> <mn>1</mn> <mo>+</mo> <mo stretchy="false">(</mo> <mo>&#x2212;</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> <mo>;</mo> <mfrac> <mrow> <mn>6</mn> <mo>&#x2212;</mo> <mn>4</mn> </mrow> <mn>2</mn> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mo>&#x2212;</mo> <mn>4</mn> </mrow> <mn>2</mn> </mfrac> <mo>;</mo> <mfrac> <mn>2</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mo>&#x2212;</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> </math>

A triangle has vertices P(-1,6), Q(-3, -4) and R(1, -4).Find the midpoint of PQ and QR respectively.

A.

(0,-2) and (-1, -4)

B.

(-1,0) and (-1,-1)

C.

(-2,1) and (0,1)

D.

(-2,1) and (-1,-4)

View Answer

67ca00ce0c643c71d77dee1f 2003
930

Given: U = {Even numbers between 0 and 30} P = {Multiples of 6 between 0 and 30} Q = {Multiples of 4 between 0 and 30} Find (P∪Q)c

A.

{2, 10, 14, 22, 26}

B.

{0, 10, 14, 22, 26}

C.

{2,4, 14, 18, 26}

D.

{0, 2, 6, 22, 26}

View Answer

67ca00ce0c643c71d77dee1f 2003
931

Triangle OPQ is the solution of the inequalities

A.

x - 1 < 0, y + ≥ 0, y - x ≥ 0

B.

x + 1 ≤ 0, y + x ≥ 0, y - x ≤ 0

C.

x - 1 ≥ 0, y - x ≥ 0, y + x ≥ 0

D.

y + x ≥ 0, y - x ≤ 0

View Answer

67ca00ce0c643c71d77dee1f 2003
932

In a class of 40 students, 32 offer mathematics, 24 offer Physics, and 4 offer neither Mathematics nor Physics. How many offer both Mat ematics and Physics?

A.

20

B.

16

C.

8

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2003
933

Simplify 2134 x 234

A.

103114

B.

103214

C.

122314

D.

132114

View Answer

67ca00ce0c643c71d77dee1f 2003
934

The graph of the function y = x2 + 4 and a straight line PQ are drawn to solve the equation x2 - 3x + 2 = 0. What is the equation of PQ?

A.

y = 3x - 2

B.

y = 3x + 2

C.

y = 3x - 4

D.

y = 3x + 4

View Answer

67ca00ce0c643c71d77dee1f 2003
935

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mn>1</mn> <mn>0.06</mn> </mfrac> <mo>&#x00F7;<!-- ÷ --></mo> <mfrac> <mn>1</mn> <mn>0.042</mn> </mfrac> </math>

Find (1/0.06 ÷ 1/0.042 )=1 , correct to two decimal places

A.

1.43

B.

1.53

C.

3.14

D.

4.42

View Answer

67ca00ce0c643c71d77dee1f 2003
936

solution: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" columnspacing="1em" rowspacing="4pt" columnlines="solid"> <mtr> <mtd> <mtext>Age in years</mtext> </mtd> <mtd> <mn>10</mn> </mtd> <mtd> <mn>20</mn> </mtd> <mtd> <mn>30</mn> </mtd> <mtd> <mn>40</mn> </mtd> <mtd> <mn>50</mn> </mtd> </mtr> <mtr> <mtd> <mi>h</mi> <mi>l</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> <mtext>frequency</mtext> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mn>5</mn> </mtd> <mtd> <mn>6</mn> </mtd> <mtd> <mn>2</mn> </mtd> </mtr> </mtable> </math>

The histogram above shows the ages of victims of a pollution. How many people were involved in the pollution?

A.

20

B.

21

C.

15

D.

18

View Answer

67ca00ce0c643c71d77dee1f 2003
937

By how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median

A.

0.50

B.

0.75

C.

0.17

D.

0.33

View Answer

67ca00ce0c643c71d77dee1f 2003
938

The sum of the first n terms of an arithmetic progresssion is 252. If the first term is -16 and the last term is 72, find the number of terms in the series

A.

6

B.

7

C.

8

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2003
939

solution <math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mi></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <msub> <mi>P</mi> <mn>3</mn> </msub> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <msup> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0</mn> <mspace linebreak="newline" /> <mfrac> <mrow> <mi>n</mi> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> </mfrac> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>n</mi> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>4</mn> <mo>!</mo> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>=</mo> <mn>0</mn> <mspace linebreak="newline" /> <mfrac> <mrow> <mi>n</mi> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> </mfrac> <mo>=</mo> <mn>6</mn> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>n</mi> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>4</mn> <mo>!</mo> </mrow> </mfrac> <mo>)</mo> </mrow> <mspace linebreak="newline" /> <mi>n</mi> <mo>!</mo> <mo stretchy="false">(</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>4</mn> <mo>!</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mn>6</mn> <mi>n</mi> <mo>!</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mspace linebreak="newline" /> <mo stretchy="false">(</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>4</mn> <mo>!</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mn>6</mn> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mspace linebreak="newline" /> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>6</mn> <mrow> <mn>4</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline" /> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>6</mn> <mrow> <mn>4</mn> <mo>&#x00D7;<!-- × --></mo> <mn>3</mn> <mo>&#x00D7;<!-- × --></mo> <mn>2</mn> <mo>&#x00D7;<!-- × --></mo> <mn>1</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mfrac> <mn>1</mn> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> <mo>=</mo> <mo stretchy="false">]</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mspace linebreak="newline" /> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo>=</mo> <mn>4</mn> <mspace linebreak="newline" /> <mi>n</mi> <mo>=</mo> <mn>4</mn> <mo>+</mo> <mn>3</mn> <mspace linebreak="newline" /> <mi>n</mi> <mo>=</mo> <mn>7</mn> </math>

If nP3−6(nC4)=0, find the value of n.

A.

5

B.

6

C.

7

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2003
940

A cinema hall contains a certain number of people. If 22(1/2)% are children, 47{1/2)% are men and 84 are women, find the number of men in the hall.

A.

63

B.

84

C.

113

D.

133

View Answer

67ca00ce0c643c71d77dee1f 2003
941

If π/≤ 2π, find the maximum value of f(θ) = 4/6 + 2 cos θ

A.

1

B.

1/2

C.

4

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2003
942

On a pie chart, there are four sectors of which three angles are 45°, 90° and 135°. if the smallest sector represents #28.00, how much is the largest sector?

A.

#48.00

B.

#56.00

C.

#42.00

D.

#84.00

View Answer

67ca00ce0c643c71d77dee1f 2003
943

The range of 4, 3, 11, 9, 6, 15, 19, 23, 27, 24, 21 and 16 is

A.

23

B.

24

C.

21

D.

16

View Answer

67ca00ce0c643c71d77dee1f 2003
944

Find the slope of the curve y = 2x2 + 5x - 3 at (1, 4).

A.

4

B.

6

C.

7

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2003
945

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo stretchy="false">(</mo> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mi>x</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫2 3(x2−2x)dx

A.

4

B.

2

C.

4/3

D.

1/3

View Answer

67ca00ce0c643c71d77dee1f 2003
946

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <msup> <mn>9</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> </mfrac> <mo>=</mo> <mn>1</mn> </math>

If 92x−1/27x+1 = 1 , find the value of x.

A.

8

B.

5

C.

3

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2003
947

In the diagram PQR is a straight line and PS is a tangent to the circle < QRS with |PS| = |SR| and < SPR = 40°. Find PSQ

A.

20°

B.

40°

C.

10°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2003
948

Determine the maximum value of y = 3x2 - x3

A.

zero

B.

2

C.

4

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2003
949

The sum of four numbers is 12145 . What is the average expressed in base five?

A.

114

B.

141

C.

401

D.

411

View Answer

67ca00ce0c643c71d77dee1f 2003
950

Evaluate log√24 + log1/2 16 − log432

A.

-5.5

B.

-2.5

C.

2.5

D.

5.5

View Answer

67ca00ce0c643c71d77dee1f 2003
951

On a pie chart, there are four sectors of which three angles are 45°, 90° and 135°. If the smallest sector represents N28.00, how much is the largest sector?

A.

N96.00

B.

N84.00

C.

N48.00

D.

N42.00

View Answer

67ca00ce0c643c71d77dee1f 2003
952

In the diagram above, PQR is a straight line and PS is a tangent to the circle QRS with /PS/ = /SR/ and ∠SPR = 40o. Find ∠PSQ

A.

40°

B.

30°

C.

20°

D.

10°

View Answer

67ca00ce0c643c71d77dee1f 2003
953

Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women.

A.

24

B.

18

C.

3

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2003
954

The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90° is

A.

a circle

B.

a semicircle

C.

an arc of a circle through X, Y

D.

the perpendicular bisector of XY

View Answer

67ca00ce0c643c71d77dee1f 2003
955

XYZ is a circle enter o and a radius 7cm. Find the area of the shaded region. θ = 45 x 2 = 90

A.

84cm2

B.

B 77cm2

C.

38cm2

D.

14cm2

View Answer

67ca00ce0c643c71d77dee1f 2003
956

The length a person can jump is inversely proportional to his weight. If a 20 kg person can jump 1.5 m, find the constant of proportionality

A.

60

B.

30

C.

20

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2003
957

If y = 3 cos(x/3), find dy/dx when x = (3π/2)

A.

1

B.

-3

C.

2

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2004
958

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec

A.

96 cm

B.

324 cm

C.

36 cm

D.

144 cm

View Answer

67ca00ce0c643c71d77dee1f 2004
959

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mfrac> <mn>1</mn> <mn>10</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mrow> <mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mfrac> <mn>3</mn> <mn>5</mn> </mfrac> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </mfrac> </math> <math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mfrac> <mn>1</mn> <mn>10</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mrow> <mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mfrac> <mn>3</mn> <mn>5</mn> </mfrac> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </mfrac> </math>

Evaluate (1/10×2/3+1/4)/((1/2)/(3/5)-1/4)

A.

7/12

B.

19/35

C.

2/25

D.

19/60

View Answer

67ca00ce0c643c71d77dee1f 2004
960

Determine the locus of a point inside a square PQRS which is eqidistant from PQ and QR

A.

The diagonal QS

B.

the perpendicular bisector of PQ

C.

The diagonal PR

D.

side SR

View Answer

67ca00ce0c643c71d77dee1f 2004
961

The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.

A.

45°

B.

75°

C.

30°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2004
962

The locus of a point which is 5 cm from the line LM is a

A.

line distance 10 cm from LM and parallel to LM

B.

pair of line on opposite sides of LM and parallel to it, each distance 5 cm from LM

C.

line parallel to LM and 5 cm from LM

D.

pair of parallel lines on one side of LM and parallel to LM

View Answer

67ca00ce0c643c71d77dee1f 2004
963

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mi></mi> <mrow data-mjx-texclass="ORD"> <mn>3</mn> </mrow> </msup> <msub> <mi>C</mi> <mrow data-mjx-texclass="ORD"> <mn>1</mn> </mrow> </msub> <msup> <mo>&#xD7;</mo> <mrow data-mjx-texclass="ORD"> <mn>9</mn> </mrow> </msup> <msub> <mi>C</mi> <mrow data-mjx-texclass="ORD"> <mn>5</mn> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mn>3</mn> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>3</mn> <mo>&#x2212;</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>1</mn> <mo>!</mo> </mrow> </mfrac> <mo>&#xD7;</mo> <mfrac> <mrow> <mn>9</mn> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>9</mn> <mo>&#x2212;</mo> <mn>5</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>5</mn> <mo>!</mo> </mrow> </mfrac> <mtext mathcolor="red">\=</mtext> <mfrac> <mrow> <mn>3</mn> <mo>!</mo> </mrow> <mrow> <mn>2</mn> <mo>!</mo> <mn>1</mn> <mo>!</mo> </mrow> </mfrac> <mo>&#xD7;</mo> <mfrac> <mrow> <mn>9</mn> <mo>!</mo> </mrow> <mrow> <mn>4</mn> <mo>!</mo> <mn>5</mn> <mo>!</mo> </mrow> </mfrac> <mtext mathcolor="red">\=</mtext> <mfrac> <mrow> <mn>3</mn> <mo>&#xD7;</mo> <mn>2</mn> <mo>!</mo> </mrow> <mrow> <mn>2</mn> <mo>!</mo> <mo>&#xD7;</mo> <mn>1</mn> </mrow> </mfrac> <mo>&#xD7;</mo> <mfrac> <mrow> <mn>9</mn> <mo>&#xD7;</mo> <mn>8</mn> <mo>&#xD7;</mo> <mn>7</mn> <mo>&#xD7;</mo> <mn>6</mn> <mo>&#xD7;</mo> SOLUTION : <mn>5</mn> <mo>!</mo> </mrow> <mrow> <mn>4</mn> <mo>&#xD7;</mo> <mn>3</mn> <mo>&#xD7;</mo> <mn>2</mn> <mo>&#xD7;</mo> <mn>1</mn> <mo>&#xD7;</mo> <mn>5</mn> <mo>!</mo> </mrow> </mfrac> <mtext mathcolor="red">\=</mtext> <mn>3</mn> <mo>&#xD7;</mo> <mn>9</mn> <mo>&#xD7;</mo> <mn>2</mn> <mo>&#xD7;</mo> <mn>7</mn> <mtext mathcolor="red">\=</mtext> <mn>378</mn> <mspace width="1mm"></mspace> <mi>w</mi> <mi>a</mi> <mi>y</mi> <mi>s</mi> </math>

A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of assembly

A.

378 ways

B.

462 ways

C.

840 ways

D.

924 ways

View Answer

67ca00ce0c643c71d77dee1f 2004
964

Solution: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>P</mi> <mi>Q</mi> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>1</mn> <mo>+</mo> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mo>+</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mo stretchy="false">)</mo> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo>&#x2217;<!-- ∗ --></mo> <mn>2</mn> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>9</mn> <mo>=</mo> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">)</mo> <mspace linebreak="newline" /> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>9</mn> <mo>+</mo> <mn>2</mn> <mspace linebreak="newline" /> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>11</mn> </math>

Find the value of α2 + β2 if α + β = 2 and the distance between points (1, α) and (β, 1)is 3 units

A.

14

B.

3

C.

5

D.

11

View Answer

67ca00ce0c643c71d77dee1f 2004
965

In the diagram above, PQ = 4cm and TS = 6cm. If the area of parallelogram PQTU is 32cm2, find the area of trapezium PQRU

A.

24 cm2

B.

48 cm2

C.

60 cm2

D.

72 cm2

View Answer

67ca00ce0c643c71d77dee1f 2004
966

A container has 30 gold medals, 22 silver medals and 18 bronze medals. If one medals is selected at the random from the container, what is the probability that it is not a gold medal?

A.

9/35

B.

11/35

C.

4/7

D.

3/7

View Answer

67ca00ce0c643c71d77dee1f 2004
967

Find the remainder when 3x3 + 5x2 - 11x + 4 is divided by x + 3

A.

-4

B.

4

C.

1

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2004
968

A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

A.

1 : 250 000

B.

1 : 25 000

C.

1 : 500

D.

1 : 5 000

View Answer

67ca00ce0c643c71d77dee1f 2004
969

If the operation * on the set of integers is defined by P * Q = √PQ , find the value of 4 * ( 8 * 32).

A.

8

B.

3

C.

16

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2004
970

I. Rectangular bars of equal width II. The height of each rectangular bar is proportional to the frequency of the corresponding class interval. III. Rectangular bars have common sides with no gaps in between A histogram is described completely by

A.

I, II and III

B.

I and II

C.

II and III

D.

I and III

View Answer

67ca00ce0c643c71d77dee1f 2004
971

P, R and S lie on a circle centre O as shown in the diagram while Q lies outside the circle. Find < PSO

A.

35°

B.

40°

C.

45°

D.

55°

View Answer

67ca00ce0c643c71d77dee1f 2004
972

The pie chart above shows the distribution of the crops harvested from a farmland in a year. If 3000 tonnes of millet is harvested, what amount of beans is harvested

A.

6000 tonnes

B.

1500 tonnes

C.

1200 tonnes

D.

9000 tonnes

View Answer

67ca00ce0c643c71d77dee1f 2004
973

The mean age of a group of students is 15 years. When the age of a teacher, 45 years old, is added to the age of the students, the mean of their ages becomes 18 years. Find the number of the students in the group

A.

0

B.

7

C.

42

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2004
974

SOLUTION : <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>a</mi> <mo>=</mo> <mn>6</mn> <mo>,</mo> <msub> <mi>U</mi> <mn>4</mn> </msub> <mo>=</mo> <mn>162</mn> <mspace linebreak="newline" /> <msub> <mi>U</mi> <mn>4</mn> </msub> <mo>=</mo> <mi>a</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mspace linebreak="newline" /> <msub> <mi>U</mi> <mn>4</mn> </msub> <mo>=</mo> <mi>a</mi> <msup> <mi>r</mi> <mn>3</mn> </msup> <mspace linebreak="newline" /> <mn>162</mn> <mo>=</mo> <mn>6</mn> <mo stretchy="false">(</mo> <mi>r</mi> <msup> <mo stretchy="false">)</mo> <mn>3</mn> </msup> <mspace linebreak="newline" /> <msup> <mi>r</mi> <mn>3</mn> </msup> <mo>=</mo> <mn>27</mn> <mspace linebreak="newline" /> <mi>r</mi> <mo>=</mo> <mroot> <mn>27</mn> <mn>3</mn> </mroot> <mspace linebreak="newline" /> <mi>r</mi> <mo>=</mo> <mn>3</mn> <mspace linebreak="newline" /> <msub> <mi>S</mi> <mn>4</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>r</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>6</mn> <mo stretchy="false">(</mo> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>3</mn> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>6</mn> <mo stretchy="false">(</mo> <mn>27</mn> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mn>3</mn> <mo>&#x00D7;<!-- × --></mo> <mn>26</mn> <mspace linebreak="newline" /> <mo>=</mo> <mn>78</mn> </math>

Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression

A.

27

B.

8

C.

78

D.

48

View Answer

67ca00ce0c643c71d77dee1f 2004
975

PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.

A.

56 cm

B.

22 cm

C.

42 cm

D.

44 cm

View Answer

67ca00ce0c643c71d77dee1f 2004
976

The sum of the interior angles of a pentagon is 6x + 6y. Find y in the terms of x

A.

y = 90 - x

B.

y = 150 - x

C.

y = 60 - x

D.

y = 120 -x

View Answer

67ca00ce0c643c71d77dee1f 2004
977

Find the derivatives of the function y = 2x2(2x - 1) at the point x = -1

A.

18

B.

16

C.

-4

D.

-6

View Answer

67ca00ce0c643c71d77dee1f 2004
978

The nth term of two sequences are Qn = 3 . 2n - 2 and Um = 3 . 22m - 3. Find the product of Q2 and U2.

A.

18

B.

12

C.

6

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2004
979

What is the rate of change of the volume v of a hemisphere with respect to its radius r when r = 2?

A.

B.

16π

C.

D.

View Answer

67ca00ce0c643c71d77dee1f 2004
980

The shaded area in the diagram above is represented by

A.

{(x,y) : y - 3x < -6}

B.

{(x,y) : y + 3x < 6}

C.

{(x,y) : y + 3x < -6}

D.

{(x,y) : y - 3x < 6}

View Answer

67ca00ce0c643c71d77dee1f 2004
981

the graph above shows the cumulative frequency curve of the distribution of marks in a class test. What percentage of the students scored more than 20 marks?

A.

68%

B.

28%

C.

17%

D.

8%

View Answer

67ca00ce0c643c71d77dee1f 2004
982

Given that 3√42x = 16, find the value of x

A.

4

B.

6

C.

3

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2004
983

Find P, if 4516 - P7 = 3056

A.

627

B.

1167

C.

6117

D.

1427

View Answer

67ca00ce0c643c71d77dee1f 2004
984

The shaded region in the Venn diagram above is

A.

Pc ∪ (Q ∩ R)

B.

Pc ∩ (Q ∪ R)

C.

P ∩ Q

D.

Pc ∩ (Q ∩ R)

View Answer

67ca00ce0c643c71d77dee1f 2004
985

An unbiased die is rolled 100 times and the outcome is tabulated above. What is the probability of obtaining a 5?

A.

1/5

B.

1/2

C.

1/6

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2004
986

Factorize completely ac - 2bc - a + 4b2

A.

(a - 2b)(c - a - 2b)

B.

(a - 2b)(c + a +2b)

C.

(a - 2b)(c - a + 2b)

D.

(a - 2b)(c + a - 2b)

View Answer

67ca00ce0c643c71d77dee1f 2004
987

Find the derivatives of (2 + 3x)(1 - x) with respect to x

A.

6

B.

-3

C.

1-6x

D.

6x-1

View Answer

67ca00ce0c643c71d77dee1f 2004
988

An arc of a circle of length 22 cm subtends an angle of 3x° at the center of the circle. Find the value of x if the diameter of the circle is 14 cm

A.

60°

B.

120°

C.

180°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2004
989

Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction the the third teacher receive?

A.

8/15

B.

11/25

C.

12/25

D.

13/25

View Answer

67ca00ce0c643c71d77dee1f 2004
990

If 6logx2 - 3logx3 = 3log50.2, find x.

A.

8/3

B.

4/3

C.

3/4

D.

3/8

View Answer

67ca00ce0c643c71d77dee1f 2004
991

y = is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.

A.

2

B.

10

C.

1/5

D.

1/10

View Answer

67ca00ce0c643c71d77dee1f 2004
992

The pie chart above shoes the distribution of the corps harvested from a farmland in a year, If 3,000 tonnes of millet is harvested, what amount of beans is harvested?

A.

9000 tonnes

B.

6000 tonnes

C.

1500 tonnes

D.

1200tonnes

View Answer

67ca00ce0c643c71d77dee1f 2004
993

In the diagram above, PQ = 4 cm and TS = 6 cm. If the area of parallelogram PQTU is 32 cm 2, find the area of the trapezium PQRU

A.

60 cm2

B.

72 cm2

C.

48 cm2

D.

24 cm2

View Answer

67ca00ce0c643c71d77dee1f 2004
994

If y = x sinx, find dy/dx

A.

sin x - x cosx

B.

sinx + x cosx

C.

sinx - cosx

D.

sinx + cosx

View Answer

67ca00ce0c643c71d77dee1f 2010
995

Find the value of p, if the line of which passes through (-1, -p) and (-2, 2) is parallel to the line 2y + 8x – 17 = 0

A.

–2/7

B.

7/6

C.

–6/7

D.

6/7

View Answer

67ca00ce0c643c71d77dee1f 2003
996

The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salary.

A.

N2,050

B.

N2600

C.

N3,100

D.

N3,450

View Answer

67ca00ce0c643c71d77dee1f 2020
997

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msqrt> <mn>6</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>4</mn> </msqrt> </mrow> <mrow> <msqrt> <mn>6</mn> </msqrt> <mo>+</mo> <msqrt> <mn>4</mn> </msqrt> </mrow> </mfrac> </math>

Rationalize(√6−√4)/(√6 + √4)

A.

5 + 2√6

B.

5 - 4√6

C.

5 + 4√6

D.

5 - 2√6

View Answer

67ca00ce0c643c71d77dee1f 2016
998

The nth term of the sequence 3, 9, 27, 81.....is

A.

3 x 3n-2

B.

3 x 3n-1

C.

3 x 3n+2

D.

3 x 3n+1

View Answer

67ca00ce0c643c71d77dee1f 2016
999

Determine the maximum value of y = 3x2 - x3

A.

zero

B.

2

C.

4

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2003
1000

The gradient of a line joining (x,4) and (1,2) is 1/2 . Find the value of x

A.

5

B.

3

C.

-3

D.

-5

View Answer

67ca00ce0c643c71d77dee1f 2014
1001

Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x = 0 and y = 0 (where k is a constant)?

A.

x + y = 0

B.

x - y = 0

C.

x + y + k = 0

D.

x - y - k = 0

View Answer

67ca00ce0c643c71d77dee1f 2009
1002

In how many ways can a team of 3 girls be selected from 7 girls?

A.

7!/3!

B.

7!/4!

C.

7!/3!4!

D.

7!/3!4!

View Answer

67ca00ce0c643c71d77dee1f 2014
1003

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>0.02174</mn> <mo>&#x00D7;<!-- × --></mo> <mn>1.2047</mn> </mrow> <mn>0.023789</mn> </mfrac> </math>

Reach each number to two significant figures and then evaluate (0.02174 × 1.2047)/0.023789

A.

0

B.

0.9

C.

1.1

D.

1.2

View Answer

67ca00ce0c643c71d77dee1f 2020
1004

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo>&#x222B;<!-- ∫ --></mo> </math>

Integrate (2x3+2x)/x with respect to x

A.

2x3/3 - 2x + k

B.

x3 + 2x + k

C.

2x3/3 + 2x + k

D.

x3 - 2x + k

View Answer

67ca00ce0c643c71d77dee1f 2016
1005

If the gradient of the curve y = 2kx2 + x + 1 at x = 1 is 9, find k.

A.

4

B.

3

C.

2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2001
1006

The pie chart above shows the distribution of subjects offered by students in SSS III level. If 80 students enrolled in the class. What is the size of the angle of the sector in economics?

A.

24°

B.

39°

C.

32°

D.

36°

View Answer

67ca00ce0c643c71d77dee1f 2016
1007

The venn diagram above shows the numbers of students offering music and history in a class of 80 students. If a student is picked at random from the class, what is the probability that he offers Music only?

A.

0.38

B.

0.13

C.

0.50

D.

0.25

View Answer

67ca00ce0c643c71d77dee1f 2002
1008

If the binary operation ∗ is defined by m ∗ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

A.

e = 1

B.

e = -1

C.

e = -2

D.

e = 0

View Answer

67ca00ce0c643c71d77dee1f 2021
1009

If the locus of the points which are equidistant from point P and Q meets line PQ at point N, then PN equals

A.

NQ

B.

1/4NQ

C.

2NQ

D.

1/2NQ

View Answer

67ca00ce0c643c71d77dee1f 2006
1010

A solid hemisphere has a radius of 7 cm. Find the total surface area.

A.

400 cm2

B.

462 cm2

C.

66 cm2

D.

308 cm2

View Answer

67ca00ce0c643c71d77dee1f 2002
1011

On a pie chart, there are four sectors of which three angles are 45°, 90° and 135°. if the smallest sector represents #28.00, how much is the largest sector?

A.

#48.00

B.

#56.00

C.

#42.00

D.

#84.00

View Answer

67ca00ce0c643c71d77dee1f 2003
1012

Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6

A.

6

B.

5

C.

4

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2014
1013

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>12.02</mn> <mo>&#x00D7;<!-- × --></mo> <mn>20.06</mn> </mrow> <mrow> <mn>26.04</mn> <mo>&#x00D7;<!-- × --></mo> <mn>60.06</mn> </mrow> </mfrac> </math>

Evaluate (12.02×20.06)/(26.04×60.06) , correct to three significant figures.

A.

0.157

B.

0.154

C.

0.155

D.

0.158

View Answer

67ca00ce0c643c71d77dee1f 2016
1014

A sector of a circle has an area of 55 cm2 . If the radius of the circle is 10 cm, calculate the angle of the sector [π = 22/7]

A.

45°

B.

63°

C.

75°

D.

90°

View Answer

67ca00ce0c643c71d77dee1f 2005
1015

An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the length of the arc.

A.

6π cm

B.

2π cm

C.

3π cm

D.

9π cm

View Answer

67ca00ce0c643c71d77dee1f 2016
1016

Find the equation of a straight line parallel to the line 2x - y = 5 and having intercept of 5

A.

2x + y = 5

B.

2x + y = -5

C.

2x - y = -5

D.

2x - y = 5

View Answer

67ca00ce0c643c71d77dee1f 2022
1017

A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if there is to be a majority of women?

A.

60

B.

15

C.

66

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2023
1018

Simplify (√6+2)2 −(√6−2)2

A.

2√6

B.

4√6

C.

8√6

D.

16√6

View Answer

67ca00ce0c643c71d77dee1f 2012
1019

Find the range of the value of x satisfying the inequalities 5 + x ≤ 8 and 13 + x ≥ 7

A.

-3 ≤ x ≤ 3

B.

3 ≤ x ≤ 6

C.

-6 ≤ x ≤ 3

D.

-6 ≤ x ≤ -3

View Answer

67ca00ce0c643c71d77dee1f 2003
1020

A business invested a total of N200,000 in two companies which paid dividends of 5% and 7% respectively. If the received a total of N11, 600 as dividend, how much did he invest at 5%

A.

N160,000

B.

N140,000

C.

N120,000

D.

N80,000

View Answer

67e856d33cf20db308447ec1 2006
1021

Find the value of y if 402y =102ten

A.

4

B.

2

C.

5

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2023
1022

If y = 3 cos(x/3), find dy/dx when x = (3π/2)

A.

1

B.

-3

C.

2

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2004
1023

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> </mtr> <mtr> <mtd> <mn>5</mn> </mtd> <mtd> <mn>3</mn> <mi>x</mi> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </math>

If ∣∣∣2533x∣∣∣ = ∣∣∣4312x∣∣∣ , find the value of x.

A.

-6

B.

6

C.

-12

D.

12

View Answer

67ca00ce0c643c71d77dee1f 2011
1024

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides

A.

3 cm

B.

4 cm

C.

6 cm

D.

7 cm

View Answer

67ca00ce0c643c71d77dee1f 2003
1025

The indefinite integral of the function f(x) = xcosx for any constant k, is

A.

–cos + sinx +k,

B.

xsinx-cosx,

C.

xsinx for any constant k,

D.

x+sinx+cosx+k

View Answer

67e856d33cf20db308447ec1 2006
1026

A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the probability of drawing a red ball and a white ball if the balls are drawn without replacement.

A.

1/3

B.

2/9

C.

2/3

D.

8/33

View Answer

67ca00ce0c643c71d77dee1f 2023
1027

If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q∩T?

A.

(2,3)

B.

(2,3,18)

C.

(2,3,9)

D.

(2,3,6)

View Answer

67ca00ce0c643c71d77dee1f 2016
1028

A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is?

A.

commutative and close on the set of positive integers

B.

neither commutative nor closed on the set of positive integers

C.

commutative but not closed on the set of positive integers

D.

not cummutative but closed on the set of positive integers

View Answer

67ca00ce0c643c71d77dee1f 2008
1029

What is the value of k if the mid-point of the line joining (1 - k, - 4) and (2, k + 1) is (-k , k)?

A.

-3

B.

-1

C.

-4

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2007
1030

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> <msup> <mn>81</mn> <mi>n</mi> </msup> </mfrac> </math>

Simplify 3n−1 × (27n+1)/81n

A.

322n

B.

9

C.

3n

D.

3n + 1

View Answer

67ca00ce0c643c71d77dee1f 2017
1031

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>x</mi> </mrow> </mfrac> <mo stretchy="false">[</mo> <mi>log</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mn>4</mn> <msup> <mi>x</mi> <mn>3</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mi>x</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </math>

d/dx [log⁡(4x3 - 2x) ] is equal to

A.

(12x−2)/4x2

B.

(43x2−2x)/7x

C.

(4x2−2)/7x+6

D.

(12x2−2)/4x3−2x

View Answer

67ca00ce0c643c71d77dee1f 2019
1032

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid solid solid solid solid solid" columnlines="solid"> <mtr> <mtd> <mi>x</mi> </mtd> <mtd> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mi>&#x03F0;<!-- ϰ --></mi> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mi>&#x03F0;<!-- ϰ --></mi> <msup> <mo stretchy="false">)</mo> <mn>2</mn> </msup> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> </mtd> <mtd> <mn>25</mn> </mtd> </mtr> <mtr> <mtd> <mn>3</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> </mtd> <mtd> <mn>16</mn> </mtd> </mtr> <mtr> <mtd> <mn>8</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>10</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>9</mn> </mtd> </mtr> <mtr> <mtd> <mn>12</mn> </mtd> <mtd> <mn>5</mn> </mtd> <mtd> <mn>25</mn> </mtd> </mtr> <mtr> <mtd /> <mtd /> <mtd> <mn>76</mn> </mtd> </mtr> </mtable> </math>

Find the standard deviation of 2,3,8,10 and 12

A.

3.9

B.

4.9

C.

5.9

D.

6.9

View Answer

67ca00ce0c643c71d77dee1f 2012
1033

Find ∫(x2 + 3x − 5)dx

A.

x3/3 - 3x2/2 - 5x + k

B.

x3/3 - 3x2/2 + 5x + k

C.

x3/3 + 3x2/2 - 5x + k

D.

x3/3 + 3x2/2 + 5x + k

View Answer

67ca00ce0c643c71d77dee1f 2017
1034

How long will take a sum of money invested at 8% simple interest to double the original sum?

A.

8 years

B.

10.5years

C.

(1years

D.

12.5years

View Answer

67e856d33cf20db308447ec1 2007
1035

Find P, if 4516 - P7 = 3056

A.

627

B.

1167

C.

6117

D.

1427

View Answer

67ca00ce0c643c71d77dee1f 2004
1036

What is the integral value of x which satisfy the inequality -1 < 3 -2x ≤ 5?

A.

-1. 0, 1, 2

B.

-2, 1, 0 , -1

C.

0, 1, 2

D.

-1, 0, 1

View Answer

67ca00ce0c643c71d77dee1f 2004
1037

W ∝ L2 and W = 6 when L = 4. If L = √17 find W

A.

6(7/8)

B.

6(5/8)

C.

6(3/8)

D.

6(1/8)

View Answer

67ca00ce0c643c71d77dee1f 2007
1038

1.3logx+logy =3. Then, y is

A.

(10/x)3

B.

(x/10)3

C.

(x/10)-3

D.

(10/x)1-1/3

View Answer

67e856d33cf20db308447ec1 2006
1039

Find the length of a chord 3cm from the centre of a circle of radius 5cm

A.

8cm

B.

5.6cm

C.

7cm

D.

6.5cm

View Answer

67ca00ce0c643c71d77dee1f 2022
1040

U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3

A.

24

B.

27

C.

32

D.

36

View Answer

67ca00ce0c643c71d77dee1f 2012
1041

The area A of a circle is increasing at a constant rate of 1.5 cm 2s−1 . Find, to 3 significant figures, the rate at which the radius r of the circle is increasing when the area of the circle is 2 cm2 .

A.

0.200 cms−1

B.

0.798 cms−1

C.

0.300 cms−1

D.

0.299 cms−1

View Answer

67ca00ce0c643c71d77dee1f 2023
1042

What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is 2/3?

A.

-2

B.

-1

C.

1

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2009
1043

A container has 30 gold medals, 22 silver medals and 18 bronze medals. If one medals is selected at the random from the container, what is the probability that it is not a gold medal?

A.

9/35

B.

11/35

C.

4/7

D.

3/7

View Answer

67ca00ce0c643c71d77dee1f 2004
1044

A number is chosen at random from 10 to 30 both inclusive. What is the probability that the number is divisible by 3?

A.

2/15

B.

1/10

C.

1/3

D.

2/5

View Answer

67ca00ce0c643c71d77dee1f 2014
1045

What is the probability that an integer x,(1 ≤ x ≤ 20) chosen at random is divisible by both 2 and 3?

A.

1/20

B.

1/3

C.

3/20

D.

7/10

View Answer

67ca00ce0c643c71d77dee1f 2005
1046

Solve 5(2(x-1)) × 5(x+1)=0.04

A.

1/3

B.

1/4

C.

-1/5

D.

-1/3

View Answer

67ca00ce0c643c71d77dee1f 2009
1047

Convert 1126 to a number in base three

A.

2211

B.

2121

C.

1212

D.

1122

View Answer

67ca00ce0c643c71d77dee1f 2012
1048

Find the values of x for which (x+2)/4 - (2x−3)/3 < 4

A.

x < 8

B.

x > -6

C.

x < 4

D.

x > -3

View Answer

67ca00ce0c643c71d77dee1f 2018
1049

In how many ways can 6 coloured chalks be arranged if 2 are same colour?

A.

60

B.

120

C.

240

D.

360

View Answer

67ca00ce0c643c71d77dee1f 2005
1050

Find the value of ((0.5436)3)/(0.017×0.219) to 3 significant figures.

A.

46.2

B.

43.1

C.

534

D.

431

View Answer

67ca00ce0c643c71d77dee1f 2019
1051

The cost of kerosene per liter increased from N60 to N85. What is the percentage rate of increase?

A.

42%

B.

41%

C.

40%

D.

25%

View Answer

67ca00ce0c643c71d77dee1f 2008
1052

The locus of points equidistant from a fixed point.

A.

circle

B.

perpendicular lines

C.

straight line

D.

bisector

View Answer

67ca00ce0c643c71d77dee1f 2022
1053

Find ∫(sin x + 2)dx

A.

cos x + x2 + K

B.

cos x 2x + K

C.

-cos x + x2 + K

D.

-cos x + 2x + K

View Answer

67ca00ce0c643c71d77dee1f 2010
1054

Evaluate the following limit: lim (x→2) (x2 + 4x − 12)/(x2 − 2x)

A.

4

B.

8

C.

0

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2023
1055

Divide 4x23 - 3x + 1 by 2x - 1

A.

2x2 -x + 1

B.

2x2 - x -1

C.

2x2 + x + 1

D.

2x2 + x -1

View Answer

67ca00ce0c643c71d77dee1f 2017
1056

Solution: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>a</mi> <mo>+</mo> <mn>1</mn> <mo>+</mo> <mi>a</mi> <mo>+</mo> <mn>2</mn> <mo>+</mo> <mi>a</mi> <mo>+</mo> <mn>3</mn> <mo>+</mo> <mi>a</mi> <mo>+</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mrow> <mn>5</mn> </mfrac> <mspace linebreak="newline"></mspace> <mn>30</mn> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> <mi>a</mi> <mo>+</mo> <mn>10</mn> </mrow> <mn>5</mn> </mfrac> <mspace linebreak="newline"></mspace> <mn>30</mn> <mo>&#xD7;</mo> <mn>5</mn> <mo>=</mo> <mn>5</mn> <mi>a</mi> <mo>+</mo> <mn>10</mn> <mspace linebreak="newline"></mspace> <mn>5</mn> <mi>a</mi> <mo>=</mo> <mn>150</mn> <mo>&#x2212;</mo> <mn>10</mn> <mspace linebreak="newline"></mspace> <mn>5</mn> <mi>a</mi> <mo>=</mo> <mn>140</mn> <mspace linebreak="newline"></mspace> <mi>a</mi> <mo>=</mo> <mn>28</mn> <mspace linebreak="newline"></mspace> <mo>&#x2234;</mo> <mi>a</mi> <mo>+</mo> <mn>4</mn> <mo>=</mo> <mn>28</mn> <mo>+</mo> <mn>4</mn> <mspace linebreak="newline"></mspace> <mo>=</mo> <mn>32</mn> </math>

If the mean of five consecutive integers is 30, find the largest of the numbers

A.

28

B.

30

C.

32

D.

34

View Answer

67ca00ce0c643c71d77dee1f 2006
1057

Find the determinant of the matrix A = (2133)

A.

4

B.

2

C.

5

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2022
1058

Find the equation of the perpendicular bisector of the line joining P(2, -3) to Q(-5, 1)

A.

8y + 14x + 13 = 0

B.

8y - 14x + 13 = 0

C.

8y - 14x - 13 = 0

D.

8y + 14x - 13 = 0

View Answer

67ca00ce0c643c71d77dee1f 2013
1059

Given an isosceles triangle with length of 2 equal sides t units and opposite side √3t units with angle θ. Find the value of the angle θ opposite to the √3t units.

A.

100°

B.

120°

C.

30°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2001
1060

The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidate scored more than 50 marks?

A.

80

B.

95

C.

100

D.

115

View Answer

67ca00ce0c643c71d77dee1f 2009
1061

Find the equation of the line through the points (-2, 1) and (-1/2, 4)

A.

y = 2x - 3

B.

y = 2x + 5

C.

y = 3x - 2

D.

y = 2x + 1

View Answer

67ca00ce0c643c71d77dee1f 2012
1062

The shaded region above is represented by the equation

A.

y ≤ 4x + 2

B.

y ≥ 4x + 2

C.

y ≤ -4x + 4

D.

y ≤ 4x + 4

View Answer

67ca00ce0c643c71d77dee1f 2012
1063

Find the length of the chord |AB| in the diagram shown above.

A.

4.2 cm

B.

4.3 cm

C.

3.2 cm

D.

3.4 cm

View Answer

67ca00ce0c643c71d77dee1f 2019
1064

If y = 4x3 - 2x2 + x, find δy/δx

A.

8x2 - 2x + 1

B.

8x2 - 4x + 1

C.

12x2 - 2x + 1

D.

12x2 - 4x + 1

View Answer

67ca00ce0c643c71d77dee1f 2014
1065

The value of (0.303)3 – (0.02)3 is

A.

0.019

B.

0.0019

C.

0.0268

D.

0.000019

View Answer

67e856d33cf20db308447ec1 2009
1066

Find the size of each exterior angle of a regular octagon

A.

51°

B.

45°

C.

40°

D.

36°

View Answer

67ca00ce0c643c71d77dee1f 2007
1067

In triangle PQR, q = 8 cm, r = 6 cm and cos P = 1/12 Calculate the value of

A.

√108 cm

B.

9 cm

C.

√92 cm

D.

10 cm

View Answer

67ca00ce0c643c71d77dee1f 2013
1068

What is the n-th term of the sequence 2, 6, 12, 20...?

A.

4n - 2

B.

2(3(n - 1))

C.

n2 + n

D.

n2 + 3n + 2

View Answer

67ca00ce0c643c71d77dee1f 2021
1069

A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?

A.

three times as much

B.

the same

C.

twice as much

D.

half as much

View Answer

67ca00ce0c643c71d77dee1f 2017
1070

The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1

A.

9

B.

-9

C.

6

D.

-6

View Answer

67ca00ce0c643c71d77dee1f 2017
1071

The probability of picking a letter T from the word OBSTRUCTION is?

A.

1/11

B.

2/11

C.

3/11

D.

4/11

View Answer

67ca00ce0c643c71d77dee1f 2008
1072

A man sells different brands of an items. 1/9 of the items he has in his shop are from Brand A, 5/8 of the remainder are from Brand B and the rest are from Brand C. If the total number of Brand C items in the man's shop is 81, how many more Brand B items than Brand C does the shop has?

A.

243

B.

108

C.

54

D.

135

View Answer

67ca00ce0c643c71d77dee1f 2023
1073

A binary operation x is defined by a x b = ab. If a x 2 = 2 - a, find the possible values of a?

A.

1, -2

B.

2, -1

C.

2, -2

D.

1, -1

View Answer

67ca00ce0c643c71d77dee1f 2020
1074

The marks scored by 30 students in a Mathematics test are recorded in the table below: What is the total number of marks scored by the children?

A.

82

B.

15

C.

63

D.

75

View Answer

67ca00ce0c643c71d77dee1f 2019
1075

If log520 = x, find x

A.

1.761

B.

1.354

C.

1.861

D.

2.549

View Answer

67ca00ce0c643c71d77dee1f 2015
1076

5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k?

A.

4

B.

3

C.

2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2009
1077

If 6logx2 - 3logx3 = 3log50.2, find x.

A.

8/3

B.

4/3

C.

3/4

D.

3/8

View Answer

67ca00ce0c643c71d77dee1f 2004
1078

Factorize completely 4abx - 2axy -12b2x + 6bxy

A.

2x(a - 3b)(2b - y)

B.

2x(3b - a)(2b - y)

C.

2x(a - 3b)(y - 2b)

D.

2x(2b - a)(3b - y)

View Answer

67ca00ce0c643c71d77dee1f 2003
1079

If y = x Sin x, find dy/dx when x = π/2

A.

−π/2

B.

-1

C.

1

D.

π/2

View Answer

67ca00ce0c643c71d77dee1f 2017
1080

If w varies inversely as (uv)/(u + v) and w = 8 when u = 2 and v = 6, find a relationship between u, v, w.

A.

uvw = 16(u + v)

B.

16uv = 3w(u + v)

C.

uvw = 12(u + v)

D.

12uvw = u + v

View Answer

67ca00ce0c643c71d77dee1f 2021
1081

If x > 0, find the range of number x-3, 3x+2,x-1, 4x, 2x-1, x-2, 2x-2, 3x and 3x+1

A.

3x+3

B.

3x+1

C.

2x+5

D.

2x+1

View Answer

67ca00ce0c643c71d77dee1f 2008
1082

A matrix P is such that PT= p, where PT is the transpose of P, if b = 1, then P is

A.

(0, 1) (1, 0)

B.

(0, 1) (-1, 0)

C.

(0, 1) (1, 1)

D.

(1, 1) (-1,0)

View Answer

67ca00ce0c643c71d77dee1f 2000
1083

The sum of the interior angles of a polygon is a given as 1080o. Find the number of the sides of the polygon.

A.

5

B.

7

C.

6

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2016
1084

Musa borrows N10.00 at 2% per month simple interest and repays N8.00 after 4 months. How much does he still owe?

A.

N10.80

B.

N10.67

C.

N2.80

D.

N2.67

View Answer

67ca00ce0c643c71d77dee1f 2021
1085

SOLUTION <math xmlns="http://www.w3.org/1998/Math/MathML"> <msqrt> <mn>12</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>147</mn> </msqrt> <mo>+</mo> <mi>y</mi> <msqrt> <mn>3</mn> </msqrt> <mo>=</mo> <mn>0</mn> <mspace linebreak="newline" /> <msqrt> <mn>4</mn> <mo>&#x00D7;<!-- × --></mo> <mn>3</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>49</mn> <mo>&#x00D7;<!-- × --></mo> <mn>3</mn> </msqrt> <mo>+</mo> <mi>y</mi> <msqrt> <mn>3</mn> </msqrt> <mo>=</mo> <mn>0</mn> <mspace linebreak="newline" /> <mn>2</mn> <msqrt> <mn>3</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <mn>7</mn> <msqrt> <mn>3</mn> </msqrt> <mo>+</mo> <mi>y</mi> <msqrt> <mn>3</mn> </msqrt> <mo>=</mo> <mn>0</mn> <mspace linebreak="newline" /> <mi>y</mi> <msqrt> <mn>3</mn> </msqrt> <mo>=</mo> <mn>7</mn> <msqrt> <mn>3</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <msqrt> <mn>3</mn> </msqrt> <mspace linebreak="newline" /> <mi>y</mi> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> <msqrt> <mn>3</mn> </msqrt> </mrow> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mspace linebreak="newline" /> <mi>y</mi> <mo>=</mo> <mn>5</mn> </math>

Find y, if √12-√147+y√3=0

A.

5

B.

1

C.

7

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2007
1086

Find the derivative of sinθ/cosθ

A.

sec2 θ

B.

tan θ cosec θ

C.

cosec θ sec θ

D.

cosec2θ

View Answer

67ca00ce0c643c71d77dee1f 2011
1087

If x = {n2+1:n is a positive integer and 1 ≤ n ≤ 5}, Y = {5n:n is a positive integer and 1 ≤ n ≤ 5}, find x ∩ y.

A.

{5,10}

B.

{5, 10, 15}

C.

{2, 5, 10}

D.

{5, 10, 15, 20}

View Answer

67ca00ce0c643c71d77dee1f 2009
1088

find the mean deviation of 1, 2, 3 and 4

A.

2.5

B.

2.0

C.

1.0

D.

1.5

View Answer

67ca00ce0c643c71d77dee1f 2004
1089

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)

A.

17.1 cm2

B.

27.2 cm2

C.

47.1 cm2

D.

37.3 cm2

View Answer

67ca00ce0c643c71d77dee1f 2015
1090

Find the derivative of y = (1/3X + 6)2

A.

2( 1/3X + 6)

B.

2/3 ( 1/3x 6)

C.

2/3(1/3X + 6)2

D.

1/3(1/3X + 6)2

View Answer

67ca00ce0c643c71d77dee1f 2016
1091

A man earns N3,500 per month out of which he spends 15% on his children's education. If he spends additional N1,950 on food, how much does he have left?

A.

N525

B.

N1,025

C.

N1,950

D.

N2,975

View Answer

67ca00ce0c643c71d77dee1f 2012
1092

Find at which rate per annum simple interest N525 will amount to N588 in 3 years.

A.

3%

B.

2%

C.

5%

D.

4%

View Answer

67ca00ce0c643c71d77dee1f 2015
1093

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

A.

15

B.

25

C.

30

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2016
1094

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>4</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> </mrow> <mn>3</mn> </mfrac> <mo>&#x2264;<!-- ≤ --></mo> <mfrac> <mrow> <mn>3</mn> <mo>+</mo> <mn>2</mn> <mi>x</mi> </mrow> <mn>2</mn> </mfrac> </math>

Solve for x in (4x-6)/3 ≤ (3 + 2x)/2

A.

x≤1(1/2)

B.

x≤(21/2)

C.

x≥21/2

D.

x≥1(1/2)

View Answer

67ca00ce0c643c71d77dee1f 2019
1095

Simplify 1/(3−√2) in the form of p + q√2

A.

7/(3 - 1/7√2)

B.

7/(3 + 1/7√2)

C.

3/(7 - 1/7√2)

D.

3/(7 + √2/7)

View Answer

67ca00ce0c643c71d77dee1f 2022
1096

In the diagram above, QR is in the diameter of the semicircle QR. Find the areas of the figure to the nearest whole number.

A.

89 cm2

B.

70 cm2

C.

90 cm2

D.

80 cm2

View Answer

67ca00ce0c643c71d77dee1f 2006
1097

The sum of the interior angle of a regular polygon is 1800o. Calculate the size of one exterior angle of the polygon

A.

30°

B.

24°

C.

18°

D.

12°

View Answer

67ca00ce0c643c71d77dee1f 2005
1098

A school girl spends 1/4 of her pocket money on books and 1/3 on dress. What fraction remains?

A.

5/6

B.

7/12

C.

5/12

D.

1/6

View Answer

67ca00ce0c643c71d77dee1f 2018
1099

The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term?

A.

180

B.

120

C.

110

D.

40

View Answer

67ca00ce0c643c71d77dee1f 2009
1100

Evaluate log717

A.

1.35

B.

1.353

C.

1.455

D.

0.455

View Answer

67ca00ce0c643c71d77dee1f 2015
1101

Find the sum to infinity of the series 2+3/2+9/8+27/32+......

A.

1

B.

2

C.

8

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2007
1102

A regular polygon has each of it angles as 1600. What is the number of sides of the polygon?

A.

18,

B.

36,

C.

9,

D.

20

View Answer

67e856d33cf20db308447ec1 2008
1103

Find y, if (52−6−7)(xy)=(7−11)

A.

8

B.

5

C.

3

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2014
1104

Evaluate 21/9 to 3 significant figures

A.

2.30

B.

2.31

C.

2.32

D.

2.33

View Answer

67ca00ce0c643c71d77dee1f 2012
1105

If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1(7/9)

A.

20(1/4)

B.

27

C.

2(1/4)

D.

36

View Answer

67ca00ce0c643c71d77dee1f 2011
1106

An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity elements

A.

2

B.

1

C.

-1

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2005
1107

Express 495g as a percentage of 16.5kg

A.

3%

B.

3(1/3)%

C.

15%

D.

30%

View Answer

67ca00ce0c643c71d77dee1f 2018
1108

if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax3 + bx2 + cx - 1, find a, b, c in that order.

A.

-1/2, 1., 1/2

B.

1/2, 1, 1/2

C.

1/2, 1, -1/2

D.

1/2, -1, 1/2

View Answer

67ca00ce0c643c71d77dee1f 2000
1109

The triangle PQR above is

A.

an obtuse-angled triangle

B.

a scalene triangle

C.

an isosceles triangle

D.

an equilateral triangle

View Answer

67ca00ce0c643c71d77dee1f 2002
1110

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mi></mi> <mrow data-mjx-texclass="ORD"> <mn>10</mn> </mrow> </msup> <msub> <mi>C</mi> <mn>6</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mn>10</mn> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>10</mn> <mo>&#x2212;</mo> <mn>6</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>6</mn> <mo>!</mo> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>10</mn> <mo>!</mo> </mrow> <mrow> <mn>4</mn> <mo>!</mo> <mn>6</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>10</mn> <mo>&#xD7;</mo> <mn>9</mn> <mo>&#xD7;</mo> <mn>8</mn> <mo>&#xD7;</mo> <mn>7</mn> <mo>&#xD7;</mo> <mn>6</mn> <mo>!</mo> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>4</mn> <mo>&#xD7;</mo> <mn>3</mn> <mo>&#xD7;</mo> <mn>2</mn> <mo>&#xD7;</mo> <mn>1</mn> <mo>&#xD7;</mo> <mn>6</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mn>210</mn> </math><math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mi></mi> <mrow data-mjx-texclass="ORD"> <mn>10</mn> </mrow> </msup> <msub> <mi>C</mi> <mn>6</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mn>10</mn> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>10</mn> <mo>&#x2212;</mo> <mn>6</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>6</mn> <mo>!</mo> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>10</mn> <mo>!</mo> </mrow> <mrow> <mn>4</mn> <mo>!</mo> <mn>6</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>10</mn> <mo>&#xD7;</mo> <mn>9</mn> <mo>&#xD7;</mo> <mn>8</mn> <mo>&#xD7;</mo> <mn>7</mn> <mo>&#xD7;</mo> <mn>6</mn> <mo>!</mo> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>4</mn> <mo>&#xD7;</mo> <mn>3</mn> <mo>&#xD7;</mo> <mn>2</mn> <mo>&#xD7;</mo> <mn>1</mn> <mo>&#xD7;</mo> <mn>6</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mn>210</mn> </math>

In how many ways can 6 subjects be selected from 10 subjects for an examination

A.

218

B.

216

C.

215

D.

210

View Answer

67ca00ce0c643c71d77dee1f 2007
1111

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mroot> <msup> <mi>x</mi> <mn>2</mn> </msup> <mn>3</mn> </mroot> <mo stretchy="false">(</mo> <mn>2</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo stretchy="false">)</mo> </math>

Differentiate the function y = 3√x2(2x − x2)

A.

dy/dx=10x5/3/3−8x2/3/3

B.

dy/dx=10x2/3/3−8x5/3/3

C.

dy/dx=10x5/3/3−8x5/3/3

D.

dy/dx=10x2/3/3−8x5/3/3

View Answer

67ca00ce0c643c71d77dee1f 2023
1112

Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60°.

A.

(12 + 4π)cm

B.

(24 + 4π)cm

C.

(12 + 6π)cm

D.

(24 + 6π)cm

View Answer

67ca00ce0c643c71d77dee1f 2016
1113

If m:n = 13:111, find m2 - n2 : (m + n)2

A.

1:11

B.

1:13

C.

1:10

D.

1:12

View Answer

67ca00ce0c643c71d77dee1f 2006
1114

Find the angle subtended at the center of a circle by a chord which is equal in length to the radius of the circle.

A.

30°

B.

45°

C.

60°

D.

90°

View Answer

67ca00ce0c643c71d77dee1f 2008
1115

The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.

A.

12

B.

4

C.

-12

D.

-24

View Answer

67ca00ce0c643c71d77dee1f 2008
1116

A ship sails a distance of 50km in the direction S50°E and then sails a distance of 50km in the direction N40°E. find the bearing of the ship from its original position

A.

S90°E

B.

N40°E

C.

S95°E

D.

N85°E

View Answer

67ca00ce0c643c71d77dee1f 2000
1117

Simplify 1/√3+2 in the form a+b√3

A.

2 -√3

B.

-2 - √3

C.

2 + √3

D.

-2 + √3

View Answer

67ca00ce0c643c71d77dee1f 2004
1118

Divide the L.C.M of 48, 64 and 80 by their H.C.F

A.

20

B.

30

C.

48

D.

60

View Answer

67ca00ce0c643c71d77dee1f 2018
1119

The table above show the marks obtained in a given test. How many student took the test?

A.

16

B.

13

C.

20

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2010
1120

I.S∩T∩W=S II. S ∪ T ∪ W = W III. T ∩ W = S If S⊂T⊂W, which of the above statements are true?

A.

I and II

B.

I and III

C.

II and III

D.

I, II and III

View Answer

67ca00ce0c643c71d77dee1f 2009
1121

A cinema hall contains a certain number of people. If 22(1/2)% are children, 47{1/2)% are men and 84 are women, find the number of men in the hall.

A.

63

B.

84

C.

113

D.

133

View Answer

67ca00ce0c643c71d77dee1f 2003
1122

Factorize 4a2 - 9b2

A.

(2a-3b) (2a+3b)

B.

(2a-b) (2a+3b)

C.

(2a-3b) (a+3b)

D.

(a-3b) (a+3b)

View Answer

67ca00ce0c643c71d77dee1f 2022
1123

Find the area bounded by the curves y = 4 - x2 and y = 2x + 1

A.

20(1/3) sq. units

B.

20(2/3) sq. units

C.

10(2/3) sq. units

D.

10(1/3) sq. units

View Answer

67ca00ce0c643c71d77dee1f 2001
1124

Evaluate 1 − (1/5 x 1(2/3)) + (5 + 1(2/3))

A.

4

B.

3

C.

22/3

D.

3(2/3)

View Answer

67ca00ce0c643c71d77dee1f 2017
1125

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mn>1</mn> <mo>,</mo> <mfrac> <mn>9</mn> <mn>10</mn> </mfrac> <mo>,</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mn>9</mn> <mn>10</mn> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>,</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mn>9</mn> <mn>10</mn> </mfrac> <mo>)</mo> </mrow> <mn>3</mn> </msup> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </math>

Find to infinity, the sum of the sequence 1,9/10,(9/10)2,(9/10)3,…..

A.

10

B.

9

C.

10/9

D.

9/10

View Answer

67ca00ce0c643c71d77dee1f 2009
1126

The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression

A.

-44

B.

-165

C.

165

D.

44

View Answer

67ca00ce0c643c71d77dee1f 2010
1127

The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.

A.

(2, 10)

B.

(2, 8)

C.

(2, 12)

D.

(2, 6)

View Answer

67ca00ce0c643c71d77dee1f 2011
1128

(SOLUTION) <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>T</mi> <mi>h</mi> <mi>e</mi> <mspace width="1mm"></mspace> <mi>m</mi> <mi>e</mi> <mi>a</mi> <mi>n</mi> <mspace width="1mm"></mspace> <mrow data-mjx-texclass="ORD"> <mover> <mi>x</mi> <mo stretchy="false">&#xAF;</mo> </mover> </mrow> <mo>=</mo> <mfrac> <mrow> <mo data-mjx-texclass="OP">&#x2211;</mo> <mrow data-mjx-texclass="ORD"> <mi>x</mi> </mrow> </mrow> <mi>n</mi> </mfrac> <mo>=</mo> <mfrac> <mn>30</mn> <mn>6</mn> </mfrac> <mo>=</mo> <mn>5</mn> <mtext mathcolor="red">\Variance</mtext> <mspace width="1mm"></mspace> <mo>=</mo> <mfrac> <mrow> <mo data-mjx-texclass="OP">&#x2211;</mo> <mo stretchy="false">(</mo> <mrow data-mjx-texclass="ORD"> <mi>x</mi> <mo>&#x2212;</mo> <mrow data-mjx-texclass="ORD"> <mover> <mi>x</mi> <mo stretchy="false">&#xAF;</mo> </mover> </mrow> </mrow> <msup> <mo stretchy="false">)</mo> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mi>n</mi> </mfrac> <mo>=</mo> <mfrac> <mn>30</mn> <mn>6</mn> </mfrac> <mo>=</mo> <mn>5</mn> </math>

Find the variance of 2, 6, 8, 6 2, and 6.

A.

6

B.

5

C.

√6

D.

√5

View Answer

67ca00ce0c643c71d77dee1f 2001
1129

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid" columnlines="solid"> <mtr> <mtd> <mi>C</mi> <mi>l</mi> <mi>a</mi> <mi>s</mi> <mi>s</mi> <mi>I</mi> <mi>n</mi> <mi>t</mi> <mi>e</mi> <mi>r</mi> <mi>v</mi> <mi>a</mi> <mi>l</mi> </mtd> <mtd> <mn>3</mn> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> </mtd> <mtd> <mn>6</mn> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> </mtd> <mtd> <mn>9</mn> <mo>&#x2212;<!-- − --></mo> <mn>11</mn> </mtd> </mtr> <mtr> <mtd> <mi>F</mi> <mi>r</mi> <mi>e</mi> <mi>q</mi> <mi>u</mi> <mi>e</mi> <mi>n</mi> <mi>c</mi> <mi>y</mi> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>2</mn> </mtd> </mtr> </mtable> </math>

Find the standard deviation of the above distribution.

A.

√5

B.

√6

C.

√7

D.

√2

View Answer

67ca00ce0c643c71d77dee1f 2011
1130

Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x+2y+4=0

A.

3y = 5x - 2

B.

y = 5/3× − 2

C.

None of these

D.

3y = 2x + 5

View Answer

67ca00ce0c643c71d77dee1f 2023
1131

If U = {x : x is an integer and 1≤ x ≤ 20 E1 = {x : x is a multiple of 3} E2 = {x : x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E2

A.

3/4

B.

3/10

C.

1/4

D.

1/20

View Answer

67ca00ce0c643c71d77dee1f 2000
1132

List all integers satisfying the inequality in -2 < 2x-6 < 4

A.

2,3,4 and 5

B.

2,3

C.

2,5

D.

3,4

View Answer

67ca00ce0c643c71d77dee1f 2021
1133

In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included?

A.

15

B.

28

C.

30

D.

45

View Answer

67ca00ce0c643c71d77dee1f 2009
1134

The result of rolling a fair die 150 times is as summarized in the table above. What is the probability of obtaining a 5

A.

3/10

B.

1/5

C.

1/6

D.

1/10

View Answer

67ca00ce0c643c71d77dee1f 2008
1135

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>+</mo> <mn>3</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>10</mn> <mi>x</mi> </mrow> <mrow> <mn>2</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> </mrow> </mfrac> </math>

Factorize completely (x3+3x2-10x)/(2x2-8)

A.

x(x-5)/2(x+2)

B.

x(x-5)/2(x-2)

C.

x(x+5)/2(x+2)

D.

x2+5/2x+4

View Answer

67ca00ce0c643c71d77dee1f 2010
1136

If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is

A.

-4/3

B.

-3/4

C.

4/3

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2007
1137

In the cyclic quadrilateral above . Find < PRO

A.

70°

B.

20°

C.

50°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2016
1138

If a fair coin is tossed 3 times, what is the probability of getting at least two heads?

A.

2/3

B.

4/5

C.

2/5

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2019
1139

If sin θ = -1/2 for 0 < θ < 360°, the value of θ is

A.

30° and 150°

B.

150° and 210°

C.

210° and 330°

D.

150° and 330°

View Answer

67ca00ce0c643c71d77dee1f 2005
1140

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store

A.

N1,080.00

B.

N2,400.00

C.

N3,000.00

D.

N3,600.00

View Answer

67ca00ce0c643c71d77dee1f 2018
1141

Find the value of x at the minimum point of the curve y = x3 + x2 - x + 1

A.

1/3

B.

1/3

C.

1

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2011
1142

If gt2 - k - w = 0, make g the subject of the formula

A.

k+w/t2

B.

k-w/t2

C.

k+w/t

D.

k-w/t

View Answer

67ca00ce0c643c71d77dee1f 2014
1143

Find all median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119

A.

131

B.

125

C.

123

D.

120

View Answer

67ca00ce0c643c71d77dee1f 2020
1144

In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women?

A.

100

B.

200

C.

30

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2010
1145

From the diagram above. Find the fraction of the shaded position?

A.

1/3

B.

1/5

C.

1/4

D.

1/6

View Answer

67ca00ce0c643c71d77dee1f 2016
1146

If the 9th term of an A.P is five times the 5th term, find the relationship between a and d.

A.

2a + 2 = 0

B.

3a + 5d = 0

C.

a + 3d = 0

D.

a + 2d = 0

View Answer

67ca00ce0c643c71d77dee1f 2002
1147

What is the size of each interior angle of a 12-sided regular polygon?

A.

120°

B.

150°

C.

30°

D.

180°

View Answer

67ca00ce0c643c71d77dee1f 2011
1148

The ages of students in a small primary school were recorded in the table below. Estimate the mean

A.

7.7

B.

7.5

C.

7.8

D.

7.6

View Answer

67ca00ce0c643c71d77dee1f 2023
1149

The population of a village decreased from 1,230 to 1,040 due to breakout of an epidemic. What is the percentage decrease in the population?

A.

15.44%

B.

15.43%

C.

15.42%

D.

15.45%

View Answer

67ca00ce0c643c71d77dee1f 2023
1150

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </math>

Find the matrix A

A.

B.

C.

D.

View Answer

67ca00ce0c643c71d77dee1f 2023
1151

An article when sold for ₦230.00 makes a 15% profit. Find the profit or loss % if it was sold for ₦180.00

A.

10% gain

B.

10% loss

C.

12% loss

D.

12% gain

View Answer

67ca00ce0c643c71d77dee1f 2023
1152

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> <mtd> <mn>3</mn> </mtd> </mtr> <mtr> <mtd> <mn>4</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>2</mn> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </math>

If D = [241−11−3321] Find |D|

A.

16

B.

14

C.

-23

D.

-37

View Answer

67ca00ce0c643c71d77dee1f 2023
1153

In a group of 500 people, 350 people can speak English, and 400 people can speak French. Find how many people can speak both languages.

A.

750

B.

850

C.

250

D.

150

View Answer

67ca00ce0c643c71d77dee1f 2023
1154

The angle of elevation and depression of the top and bottom of another building, measured from the top of a 24 m tall building, is 30° and 60°, respectively. Determine the second building's height.

A.

24 m

B.

32√3m

C.

24√3

D.

32 m

View Answer

67ca00ce0c643c71d77dee1f 2023
1155

Find the volume of the cylinder above[Take π=22/7 ]

A.

9,856 cm3

B.

14,784 cm3

C.

 4,928 cm3

D.

19,712 cm3

View Answer

67ca00ce0c643c71d77dee1f 2023
1156

If A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find (A – B) ⋃ (B – A).

A.

{1, 3, 5, 8}

B.

{8}

C.

{1, 2, 3, 4, 5, 6, 8}

D.

{1, 3, 5}

View Answer

67ca00ce0c643c71d77dee1f 2023
1157

Determine the area of the region bounded by y = 2x2 + 10 and Y = 4x + 16 .

A.

18

B.

−10/3

C.

44/3

D.

64/3

View Answer

67ca00ce0c643c71d77dee1f 2023
1158

A rectangular plot of land has sides with lengths of 38 m and 52 m corrected to the nearest m. Find the range of the possible values of the area of the rectangle

A.

1931.25 m2 ≤ A < 2021.25 m2

B.

1950 m2 ≤ A < 2002m2

C.

1957 m2 ≤ A < 1995 m2

D.

1931.25 m2 ≥ A > 2021.25 m2

View Answer

67ca00ce0c643c71d77dee1f 2023
1159

Solve the following quadratic inequality: x2 − x - 4 ≤ 2

A.

−3 < x < 2

B.

−2 ≤ x ≤ 3

C.

x ≤ −2, x ≤ 3

D.

−2 < x < 3

View Answer

67ca00ce0c643c71d77dee1f 2023
1160

Make x the subject of the formula: y = (3x−9c)/(4x+5d)

A.

x = −(9c−5dy)/4y−3

B.

x = 9c + 5dy/4y − 3

C.

x = 9c−5dy/4y−3

D.

 x = −(9c+5dy)/4y−3

View Answer

67ca00ce0c643c71d77dee1f 2023
1161

If (3−√3)/(2+√3) = a + b√3, what are the values a and b?

A.

a = 9, b = -5

B.

a = 5, b = 9

C.

a = 9, b = 5

D.

a = -5, b = 9

View Answer

67ca00ce0c643c71d77dee1f 2023
1162

How many different 8 letter words are possible using the letters of the word SYLLABUS?

A.

(8 - 1)!

B.

8!/2!

C.

8!/2!2!

D.

8!

View Answer

67ca00ce0c643c71d77dee1f 2023
1163

Find the value of y, if log (y + 8) + log (y - 8) = 2log 3 + 2log 5

A.

y = ±5

B.

y = ±10

C.

y = ±17

D.

y = ±13

View Answer

67ca00ce0c643c71d77dee1f 2023
1164

Calculate the mean deviation of the first five prime numbers.

A.

2.72

B.

5.6

C.

 5.25

D.

13.6

View Answer

67ca00ce0c643c71d77dee1f 2023
1165

Solve for x: 3(x – 1) ≤ 2 (x – 3)

A.

x ≤ -3

B.

 x ≥ -3

C.

 x ≤ 3

D.

x ≥ 3

View Answer

67ca00ce0c643c71d77dee1f 2023
1166

The locus of a point equidistant from two intersecting lines is

A.

where the sum of the distances of two focal points is fixed

B.

the collection of points that are equally distant from a fixed point and a line

C.

the perpendicular bisector of the lines

D.

pair of bisectors of the angles between the two lines

View Answer

67ca00ce0c643c71d77dee1f 2023
1167

A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.

A.

217o

B.

323o

C.

037o

D.

053o

View Answer

67ca00ce0c643c71d77dee1f 2023
1168

What is the general term of the sequence 3, 8, 13, 18, ...?

A.

5n - 2

B.

5n + 2

C.

5

D.

5n

View Answer

67ca00ce0c643c71d77dee1f 2023
1169

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mn>0</mn> <mn>1</mn> </msubsup> <mn>4</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <mroot> <msup> <mi>x</mi> <mn>2</mn> </msup> <mn>3</mn> </mroot> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫1 0 4x−63√x2−dx

A.

- 5/8

B.

-8/5

C.

8/5

D.

5/8

View Answer

67ca00ce0c643c71d77dee1f 2023
1170

Let '*' and '^' be two binary operations such that a * b = a2b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).

A.

-49

B.

64

C.

113

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2023
1171

Find the value of t, if the distance between the points P(–3, –14) and Q(t, –5) is 9 units.

A.

3

B.

2

C.

- 3

D.

- 2

View Answer

67ca00ce0c643c71d77dee1f 2023
1172

How many students scored at least 25%

A.

16

B.

19

C.

3

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2023
1173

Let a binary operation '*' be defined on a set A. The operation will be commutative if

A.

a*b = b*a

B.

(a*b)*c = a*(b*c)

C.

(b ο c)*a = (b*a) ο (c*a)

D.

None of the above

View Answer

67ca00ce0c643c71d77dee1f 2023
1174

A coin is thrown 3 times. What is the probability that atleast one head is obtained?

A.

7/8

B.

3/8

C.

None the above

D.

1/8

View Answer

67ca00ce0c643c71d77dee1f 2023
1175

Two numbers are respectively 35% and 80% more than a third number. The ratio of the two numbers is

A.

7 : 16

B.

3 : 4

C.

16 : 7

D.

4 : 3

View Answer

67ca00ce0c643c71d77dee1f 2023
1176

If −2x +6x2 +17x - 21 is divided by (x+1), then the remainder is

A.

32

B.

30

C.

-30

D.

-32

View Answer

67ca00ce0c643c71d77dee1f 2023
1177

Divide 1101001two by 101two

A.

11101two

B.

111two

C.

10111two

D.

10101two

View Answer

67ca00ce0c643c71d77dee1f 2023
1178

If a car runs at a constant speed and takes 4.5 hrs to run a distance of 225 km, what time will it take to run 150 km?

A.

2 hrs

B.

 4 hrs

C.

3 hrs

D.

1 hr

View Answer

67ca00ce0c643c71d77dee1f 2023
1179

Evaluate: 16(0.16) × 16(0.04)(0.04) × 2(0.2)

A.

 2

B.

 0

C.

20

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2023
1180

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mn>16</mn> <msup> <mi>x</mi> <mn>4</mn> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mi>y</mi> <mn>4</mn> </msup> </math> = <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </math>

Factorize: 16x4−y4

A.

(2x−y)(2x+y)(4x2+y2)

B.

(2x+y)(2x+y)(4x2+y2)

C.

(2x−y)(2x−y)(4x2+y2)

D.

(2x−y)(2x+y)(4x2−y2)

View Answer

67ca00ce0c643c71d77dee1f 2023
1181

Calculate, correct to three significant figures, the length of the arc AB in the diagram above.[Take π=22/7]

A.

32.4 cm

B.

30.6 cm

C.

28.8 cm

D.

30.5 cm

View Answer

67ca00ce0c643c71d77dee1f 2023
1182

The ages of students in a small primary school were recorded in the table below. Estimate the median.

A.

7.725

B.

6.225

C.

 7.5

D.

6.5

View Answer

67ca00ce0c643c71d77dee1f 2023
1183

The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms

A.

201

B.

144

C.

198

D.

72

View Answer

67ca00ce0c643c71d77dee1f 2023
1184

At simple interest, a man made a deposit of some money in the bank. The amount in his bank account after 10 years is three times the money deposited. If the interest rate stays the same, after how many years will the amount be five times the money deposited?

A.

15 years

B.

25 years

C.

20 years

D.

30 years

View Answer

67ca00ce0c643c71d77dee1f 2023
1185

Find the area, to the nearest cm2, of the triangle whose sides are in the ratio 2 : 3 : 4 and whose perimeter is 180 cm.

A.

1162 cm2

B.

1163 cm2

C.

1160 cm2

D.

1161 cm2

View Answer

67ca00ce0c643c71d77dee1f 2023
1186

The diagram above is a circle with centre C. P, Q and S are points on the circumference. PS and SR are tangents to the circle. ∠PSR = 36o . Find ∠PQR

A.

72o

B.

36o

C.

144o

D.

54o

View Answer

67ca00ce0c643c71d77dee1f 2023
1187

Calculate, correct to three significant figures, the length AB in the diagram above.

A.

36.4 cm

B.

36.1 cm

C.

36.2 cm

D.

36.3 cm

View Answer

67ca00ce0c643c71d77dee1f 2023
1188

The interior angle of a regular polygon is five times the size of its exterior angle. Identify the polygon.

A.

dodecagon

B.

enneadecagon

C.

icosagon

D.

hendecagon

View Answer

67ca00ce0c643c71d77dee1f 2023
1189

Find the compound interest (CI) on ₦15,700 for 2 years at 8% per annum compounded annually.

A.

₦6,212.48

B.

₦2,834.48

C.

₦18,312.48

D.

₦2,612.48

View Answer

67ca00ce0c643c71d77dee1f 2023
1190

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msup> <mi>x</mi> <mn>3</mn> </msup> <mo>+</mo> <mn>6</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>7</mn> </mrow> <mrow> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </mfrac> </math>

find the limit of y = x3+6x−7/x−1 as x tends to 1

A.

9

B.

8

C.

0

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2022
1191

Evaluate n2 + 1C(n+5) if n = 3

A.

55

B.

45

C.

35

D.

25

View Answer

67ca00ce0c643c71d77dee1f 2022
1192

What will be the result obtained when the numerator of 96/50 is decreased by 37.5% and its denominator decreased by 20%.

A.

1.5

B.

5/2

C.

96/48

D.

0.5

View Answer

67ca00ce0c643c71d77dee1f 2022
1193

If a dress is sold for #3800.00 at 20% discount. what is its original price?

A.

#3,000.00

B.

#4,000.00

C.

 #5,000.00

D.

 #4,750.00

View Answer

67ca00ce0c643c71d77dee1f 2022
1194

The number line represented by the inequality

A.

x≤2

B.

 x<2

C.

 x≥2

D.

 x>2

View Answer

67ca00ce0c643c71d77dee1f 2022
1195

Find x if the mean of 2x, 4x, 2x - 13 and 6x is 4.

A.

1.5

B.

2.0

C.

1.0

D.

 0.5

View Answer

67ca00ce0c643c71d77dee1f 2022
1196

The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by?

A.

( 1/2, 15/2)

B.

( 1/2, −15/2)

C.

( −1/2, −15/2)

D.

( −1/2, 15/2)

View Answer

67ca00ce0c643c71d77dee1f 2022
1197

In how many ways can the letter of ZOOLOGY be arranged?

A.

720

B.

 360

C.

840

D.

120

View Answer

67ca00ce0c643c71d77dee1f 2022
1198

If 8, p, q and 26 is an A.P. Find the values of p and q

A.

p = 14 and q = 14

B.

 p = 20 and q = 14

C.

 p = 20 and q = 20

D.

 p = 14 and q = 20

View Answer

67ca00ce0c643c71d77dee1f 2022
1199

The equivalent of (10110.011)2 in base 10 is?

A.

26.325

B.

24.372

C.

42.443

D.

22.375

View Answer

67ca00ce0c643c71d77dee1f 2022
1200

If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median

A.

5.5

B.

5

C.

6.5

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2022
1201

The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

A.

35/3

B.

64

C.

16

D.

35/2

View Answer

67ca00ce0c643c71d77dee1f 2022
1202

Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)2, then find 3 * 5

A.

223

B.

232

C.

32

D.

-232

View Answer

67ca00ce0c643c71d77dee1f 2022
1203

The cost C of running a school is directly proportional to the number of students N, if 20 students cost #10,000, How many students can #1,000,000 cover?

A.

3000

B.

1000

C.

2000

D.

4000

View Answer

67ca00ce0c643c71d77dee1f 2022
1204

Integrate (2x+1)3

A.

2x+13/8 + C

B.

2x+14/8 + C

C.

2x+14/4 + C

D.

2x+12/6 + C

View Answer

67ca00ce0c643c71d77dee1f 2022
1205

If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)

A.

10

B.

 30

C.

 15

D.

40

View Answer

67ca00ce0c643c71d77dee1f 2022
1206

Solve for k in the equation 1/8k+2 = 1

A.

2

B.

-4

C.

-2

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2022
1207

A rectangular pyramid has an area 24cm2 and height 7.5cm. Find its volume?

A.

65.0cm3

B.

70.5cm3

C.

56.5cm3

D.

60.0cm3

View Answer

67ca00ce0c643c71d77dee1f 2022
1208

If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12

A.

4

B.

1

C.

2

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2022
1209

If sec2θ + tan2θ = 3, then the angle θ is equal to?

A.

90°

B.

30°

C.

45°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2022
1210

Given that S = 3t2 + 5t - 10 is displacement of a particle in metres, calculate it initial velocity.

A.

10m/s

B.

2m/s

C.

5m/s

D.

6m/s

View Answer

67ca00ce0c643c71d77dee1f 2022
1211

A poultry farmer realized 200 eggs from his birds and sold 5(1/2) crates of eggs. What percentages of eggs are left?

A.

82.5%

B.

15%

C.

17.5%

D.

85%

View Answer

67ca00ce0c643c71d77dee1f 2022
1212

In the diagram above, XY = 8cm and OX = 5cm. Find Oz

A.

9cm

B.

3.4cm

C.

9.1cm

D.

3cm

View Answer

67ca00ce0c643c71d77dee1f 2022
1213

If sin θ = - 3/5 and θ lies in the third quadrant, find cos θ

A.

4/5

B.

-1 1/4

C.

 5/4

D.

 - 4/5

View Answer

67ca00ce0c643c71d77dee1f 2022
1214

Given that r = √(3v/πh), make v the subject of the formula

A.

v = 3 πr2 h

B.

v = πrh/3

C.

v =  πr2h/3

D.

v = 3πrh

View Answer

67ca00ce0c643c71d77dee1f 2022
1215

The shaded portion in the venn diagram above represents?

A.

F - (E n F) - (G n F)

B.

E' n F n G'

C.

E u F u G

D.

F

View Answer

67ca00ce0c643c71d77dee1f 2022
1216

Evaluate Log2 8√2

A.

3.0

B.

4.5

C.

3.5

D.

2.5

View Answer

67ca00ce0c643c71d77dee1f 2022
1217

In the diagram above angle LNM and angle YNZ are represented by g and h respectively. Find ∠MNY

A.

180° - g° - h°

B.

360° - (g-h)°

C.

180° - (g-h)°

D.

360° - g° - h°

View Answer

67ca00ce0c643c71d77dee1f 2022
1218

Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gift+B10s(g), savings(s) and some B28miscellaneous (m) as indicate in the table below: If the above information is represented on a pie chart. What angle represents his spending on food?

A.

108.5

B.

100.8

C.

98.8

D.

120.5

View Answer

67ca00ce0c643c71d77dee1f 2022
1219

Evaluate (101two)3

A.

111101two

B.

11111101two

C.

1111101two

D.

11001two

View Answer

67ca00ce0c643c71d77dee1f 2022
1220

If a fair coin is tossed twice, what is the probability of obtaining at least one head?

A.

0.25

B.

0.75

C.

 0.5

D.

 0.33

View Answer

67ca00ce0c643c71d77dee1f 2022
1221

Calculate the median of 14, 17, 10, 13, 18 and 10

A.

12.5

B.

13.5

C.

13.2

D.

14.5

View Answer

67ca00ce0c643c71d77dee1f 2022
1222

Three times a certain number (x), minus 2 is less than the number minus 6.Find the possible values of x.

A.

x <-2

B.

x>2

C.

x>-2

D.

x<2

View Answer

67ca00ce0c643c71d77dee1f 2022
1223

Solve the following equation: 2(2r−1) - 5/3 = 1(r+2)

A.

( -1, 5/2 )

B.

( 1, - 5/2 )

C.

( 5/2, 1 )

D.

(2,1)

View Answer

67ca00ce0c643c71d77dee1f 2021
1224

Factorize completely 81a4 - 16b4

A.

(3a + 2b)(2a - 3b)(9a2 + 4b2)

B.

(3a - 2b)(2a - 3b)(4a2 - 9b2)

C.

(3a - 2b)(3a + 2b)(9a2 + 4b2)

D.

(6a - 2b)(8a - 3b)(4a3 - 9b2)

View Answer

67ca00ce0c643c71d77dee1f 2021
1225

A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

A.

25

B.

19

C.

18

D.

17

View Answer

67ca00ce0c643c71d77dee1f 2021
1226

Simplify 2log 2/5 -log72/125 + log 9

A.

1 - 4 log3

B.

-1 + 2 log 3

C.

-1 + 5 log2

D.

1 - 2log 2

View Answer

67ca00ce0c643c71d77dee1f 2021
1227

Three children shared a basket of mangoes in such a way that the first child took 1/4 of the mangoes and the second 3/4 of the remainder. What fraction of the mangoes did the third child take?

A.

3/16

B.

7/16

C.

9/16

D.

13/16

View Answer

67ca00ce0c643c71d77dee1f 2021
1228

Three brothers in a business deal share the profit at the end of a contract. The first received 13 of the profit and the second 23 of the remainder. If the third received the remaining N12000.00 how much profit did they share?

A.

N60 000.00

B.

N54 000.00

C.

N48 000.00

D.

N42 000.00

View Answer

67ca00ce0c643c71d77dee1f 2021
1229

The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles​

A.

5x - 30

B.

4x + 60

C.

60 - x

D.

3x + 61

View Answer

67ca00ce0c643c71d77dee1f 2021
1230

find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?

A.

-2/7

B.

7/6

C.

-6/7

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2021
1231

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the?

A.

perpendicular bisector of the two lines

B.

angle bisector of the two lines

C.

bisector of the two lines

D.

line parallel to the two lines

View Answer

67ca00ce0c643c71d77dee1f 2021
1232

4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16

A.

48°

B.

84°

C.

92°

D.

276°

View Answer

67ca00ce0c643c71d77dee1f 2021
1233

Correct 241.34(3 x 10-3 )22 to 4 significant figures

A.

0.0014

B.

0.001448

C.

0.0022

D.

0.002172

View Answer

67ca00ce0c643c71d77dee1f 2021
1234

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid solid solid solid" columnlines="solid"> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mn>3</mn> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mn>4</mn> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mtd> </mtr> </mtable> </math>

Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?

A.

2/3

B.

1/2

C.

1/3

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2021
1235

A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.

A.

153π cm3

B.

207π cm3

C.

15300π cm3

D.

20700π cm3

View Answer

67ca00ce0c643c71d77dee1f 2021
1236

X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X

A.

240°

B.

150°

C.

60°

D.

270°

View Answer

67ca00ce0c643c71d77dee1f 2021
1237

If g(x) = x22 + 3x find g(x + 1) - g(x)

A.

(x + 2)

B.

2(x + 2)

C.

(2x + 1)

D.

(x2 + 4)

View Answer

67ca00ce0c643c71d77dee1f 2021
1238

Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?

A.

9

B.

8

C.

7

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2021
1239

determine the maximum value of y=3x2 + 5x - 3

A.

6

B.

0

C.

2

D.

No correct option

View Answer

67ca00ce0c643c71d77dee1f 2021
1240

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351 cm3 , then the volume of the other block is?

A.

234.00 cm3

B.

526.50 cm3

C.

166.00 cm3

D.

687cm3

View Answer

67ca00ce0c643c71d77dee1f 2021
1241

A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm2 , find the distance between the parallel sides

A.

13 cm

B.

4 cm

C.

6 cm

D.

7 cm

View Answer

67ca00ce0c643c71d77dee1f 2021
1242

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>I</mi> <mi>n</mi> <msup> <mspace width="1mm" /> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msup> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="1mm" /> <mi>w</mi> <mi>a</mi> <mi>y</mi> <mi>s</mi> <mspace width="1mm" /> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>5</mn> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>2</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> <mo>!</mo> </mrow> <mrow> <mn>3</mn> <mo>!</mo> <mn>2</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> <mo>&#x00D7;<!-- × --></mo> <mn>4</mn> <mo>&#x00D7;<!-- × --></mo> <mn>3</mn> <mo>!</mo> </mrow> <mrow> <mn>3</mn> <mo>!</mo> <mo>&#x00D7;<!-- × --></mo> <mn>2</mn> <mo>&#x00D7;<!-- × --></mo> <mn>1</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mn>10</mn> <mspace width="1mm" /> <mi>w</mi> <mi>a</mi> <mi>y</mi> <mi>s</mi> </math>

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

A.

25 ways

B.

10 ways

C.

15 ways

D.

20 ways

View Answer

67ca00ce0c643c71d77dee1f 2021
1243

The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number

A.

3

B.

16

C.

38

D.

30

View Answer

67ca00ce0c643c71d77dee1f 2021
1244

What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?

A.

B.

16π

C.

D.

View Answer

67ca00ce0c643c71d77dee1f 2021
1245

Find the length of a side of a rhombus whose diagonals are 6 cm and 8 cm

A.

8 cm

B.

5 cm

C.

4 cm

D.

3 cm

View Answer

67ca00ce0c643c71d77dee1f 2021
1246

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius

A.

6.5 units

B.

13.0 units

C.

3.5 units

D.

7.0 units

View Answer

67ca00ce0c643c71d77dee1f 2021
1247

Find the probability that a number selected at random from 41 to 56 is a multiple of 9

A.

1/8

B.

2/15

C.

3/16

D.

7/8

View Answer

67ca00ce0c643c71d77dee1f 2021
1248

Simplify √27 + 3/√3

A.

4√3

B.

4/√3

C.

3√3

D.

√3/4

View Answer

67ca00ce0c643c71d77dee1f 2021
1249

A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

A.

(p+q)/(pw + qu)

B.

(uw(p+q))/(pw + qu)

C.

uw(p+q)/pw

D.

uwpw+qu

View Answer

67ca00ce0c643c71d77dee1f 2021
1250

Find x if log9 x = 1.5

A.

27

B.

15

C.

3.5

D.

32

View Answer

67ca00ce0c643c71d77dee1f 2021
1251

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>0.00275</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.00640</mn> </mrow> <mrow> <mn>0.025</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.08</mn> </mrow> </mfrac> </math>

Simplify and express in standard form (0.00275 × 0.00640)/(0.025 × 0.08)

A.

8.8 x 10-1

B.

8.8 x 10-2

C.

8.8 x 10-2

D.

8.8 x 103

View Answer

67ca00ce0c643c71d77dee1f 2021
1252

factorize m3 - m2 + 2m - 2

A.

(m2 + 1)(m - 2)

B.

(m - 1)(m + 1)(m + 2)

C.

(m - 2)(m + 1)(m - 1)

D.

(m2 + 2)(m - 1)

View Answer

67ca00ce0c643c71d77dee1f 2021
1253

The angle of a sector of a circle, radius 10.5 cm, is 48°, Calculate the perimeter of the sector

A.

8.8 cm

B.

25.4 cm

C.

25.6 cm

D.

29.8 cm

View Answer

67ca00ce0c643c71d77dee1f 2021
1254

At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?

A.

1/2 %

B.

2(1/2)%

C.

1.5%

D.

25%

View Answer

67ca00ce0c643c71d77dee1f 2021
1255

Find the derivative of the function y = 2x2(2x - 1) at the point x = -1?

A.

18

B.

16

C.

-4

D.

-6

View Answer

67ca00ce0c643c71d77dee1f 2021
1256

Given U = {x: x is a positive integer less than 15} and P = {x: x is even number from 1 to 14}. Find the compliment of P.

A.

{1, 3, 5, 7, 9, 11, 13, 15}

B.

{2, 3, 5, 7, 9, 11, 13}

C.

{1, 3, 5, 7, 9, 11, 13}

D.

{2, 3, 5, 7, 11, 15}

View Answer

67ca00ce0c643c71d77dee1f 2016
1257

All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 65o. The angle subtended at the centre of the circle by the base of the triangle is:

A.

130o

B.

115o

C.

50o

D.

65o

View Answer

67e856d33cf20db308447ec1 2007
1258

How many sides has a regular polygon whose interior angle is 135°?

A.

12

B.

10

C.

9

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2014
1259

Which of the following specified sets of data is not necessarily sufficient for the construction of a triangle?

A.

three angles

B.

two sides and a right angle

C.

two sides and an included angle

D.

three sides

View Answer

67e856d33cf20db308447ec1 2007
1260

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

A.

8√3 cm

B.

4 cm

C.

8 cm

D.

8√2 cm

View Answer

67ca00ce0c643c71d77dee1f 2013
1261

Find the simple interest on N325 in 5years at 3% per annum.

A.

N48.75K

B.

N50.10K

C.

N75.50K

D.

N15.75K

View Answer

67ca00ce0c643c71d77dee1f 2015
1262

The Venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?

A.

19

B.

6

C.

15

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2005
1263

Evaluate ∫ (sinx - 5x2)dx

A.

-cosx - 10x + k

B.

cosx - 5x3/3 + k

C.

-cosx - 5x3/3 + k

D.

cosx - 10x + k

View Answer

67ca00ce0c643c71d77dee1f 2016
1264

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msup> <mn>27</mn> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mn>8</mn> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </msup> </mrow> <mrow> <msup> <mn>16</mn> <mfrac> <mn>2</mn> <mn>4</mn> </mfrac> </msup> <mo>&#x00D7;<!-- × --></mo> <mn>2</mn> </mrow> </mfrac> </math>

Evaluate (〖27〗(1/3) -8(2/3))/(〖16〗^(2/4) × 2)

A.

23/5

B.

-(23/5)

C.

=B27-(1/8)

D.

21/7

View Answer

67ca00ce0c643c71d77dee1f 2016
1265

The sum of the first n terms of an arithmetic progresssion is 252. If the first term is -16 and the last term is 72, find the number of terms in the series

A.

6

B.

7

C.

8

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2003
1266

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mfrac> <mn>1</mn> <mn>10</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mrow> <mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mfrac> <mn>3</mn> <mn>5</mn> </mfrac> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </mfrac> </math> <math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mfrac> <mn>1</mn> <mn>10</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mrow> <mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mfrac> <mn>3</mn> <mn>5</mn> </mfrac> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </mfrac> </math>

Evaluate (1/10×2/3+1/4)/((1/2)/(3/5)-1/4)

A.

7/12

B.

19/35

C.

2/25

D.

19/60

View Answer

67ca00ce0c643c71d77dee1f 2004
1267

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <msup> <mn>9</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> </mfrac> <mo>=</mo> <mn>1</mn> </math>

If 92x−1/27x+1 = 1 , find the value of x.

A.

8

B.

5

C.

3

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2003
1268

In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF

A.

126°

B.

72°

C.

54°

D.

28°

View Answer

67ca00ce0c643c71d77dee1f 2018
1269

A man bought a car newly for ₦1,250,000. He had a crash with the car and later sold it at the rate of ₦1,085,000. What is the percentage gain or loss of the man?

A.

43.7% loss

B.

13.2% gain

C.

13.2% loss

D.

43.7% gain

View Answer

67ca00ce0c643c71d77dee1f 2019
1270

The time taken to a piece of work is inversely proportional to the number of men employed. If it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?

A.

15 days

B.

12 days

C.

5days

D.

9days

View Answer

67ca00ce0c643c71d77dee1f 2017
1271

If log10 2 = 0.3010 and log10 3 = 0.4771, eventually without using the logarithm tables, log10 4.5

A.

0.3010

B.

0.4771

C.

0.6532

D.

0.9542

View Answer

67ca00ce0c643c71d77dee1f 2020
1272

If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. [Take π=22/7]

A.

48 cm

B.

40 cm

C.

43 cm

D.

45 cm

View Answer

67ca00ce0c643c71d77dee1f 2014
1273

Solve the inequalities -3(x - 2) < -2(x + 3)

A.

x > 12

B.

x < 12

C.

x > -12

D.

x < - 12

View Answer

67ca00ce0c643c71d77dee1f 2007
1274

A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45°. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.

A.

9.0 m

B.

12. 0 m

C.

8.8 m

D.

10.4 m

View Answer

67ca00ce0c643c71d77dee1f 2002
1275

The nth term of the progression 4/2, 7/3, 10/4, 13/5 is ...

A.

(1−3n)/(n+1)

B.

(3n + 1)/(n+1)

C.

(3n + 1)/(n-1)

D.

3n - 1)/(n+1)

View Answer

67ca00ce0c643c71d77dee1f 2013
1276

How many terms of the series 3, -6, +12, - 24, + ..... are needed to make a total of 1-28?

A.

12

B.

10

C.

9

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2006
1277

Convert 22324 to base six

A.

4506

B.

2546

C.

5536

D.

5406

View Answer

67ca00ce0c643c71d77dee1f 2006
1278

Find the value of k if the expression kx3 + x2 - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1

A.

10

B.

8

C.

-10

D.

-8

View Answer

67ca00ce0c643c71d77dee1f 2006
1279

In the diagram above, PQ = 4cm and TS = 6cm. If the area of parallelogram PQTU is 32cm2, find the area of trapezium PQRU

A.

24 cm2

B.

48 cm2

C.

60 cm2

D.

72 cm2

View Answer

67ca00ce0c643c71d77dee1f 2004
1280

If log102 = 0.3010 and log107 = 0.8451, evaluate log10280

A.

3.4471

B.

2.4471

C.

1.4471

D.

1.4071

View Answer

67ca00ce0c643c71d77dee1f 2009
1281

A square tile has side 30 cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A.

720

B.

336

C.

420

D.

576

View Answer

67ca00ce0c643c71d77dee1f 2013
1282

A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls

A.

17/50

B.

3/25

C.

1/50

D.

3/250

View Answer

67ca00ce0c643c71d77dee1f 2005
1283

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60º, find the width of the river?

A.

100m

B.

75√3 m

C.

100√3m

D.

200√3m

View Answer

67ca00ce0c643c71d77dee1f 2009
1284

Solve for x and y respectively in the simultaneous equations -2x - 5y = 3. x + 3y = 0

A.

-3, -9

B.

9, -3

C.

-9,3

D.

3, -9

View Answer

67ca00ce0c643c71d77dee1f 2011
1285

In the figure above, PQR is a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, ∠SQR is 75o and ∠QPT is 25o. Calculate the value of ∠RST.

A.

45°

B.

55°

C.

25°

D.

55°

View Answer

67ca00ce0c643c71d77dee1f 2001
1286

If tan θ = 5/4 find sin2 - cos2θ

A.

9/41

B.

5/4

C.

1

D.

9/1

View Answer

67ca00ce0c643c71d77dee1f 2006
1287

Given f(x) =3+x and g(x) =3-x, find g (f(x))

A.

6

B.

x

C.

-x

D.

0

View Answer

67e856d33cf20db308447ec1 2013
1288

The model height and range of heights 1.35, 1.25, 1.35, 1.40, 1.35, 1.50, 1.35, 1.50, and 1.20 are m and r respectively. Find m+2r.

A.

1.35

B.

1.65

C.

1.95

D.

3.00

View Answer

67ca00ce0c643c71d77dee1f 2005
1289

Find the variance

A.

3.42

B.

4.69

C.

4.85

D.

3.72

View Answer

67ca00ce0c643c71d77dee1f 2019
1290

Find the median of 2,3,7,3,4,5,8,9,9,4,5,3,4,2,4 and 5

A.

9

B.

8

C.

7

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2012
1291

A point P moves such that it is equidistant from Points Q and R. Find QR when PR = 8cm and angle PRQ = 30°

A.

4√3cm

B.

8cm

C.

8√3cm

D.

4cm

View Answer

67ca00ce0c643c71d77dee1f 2001
1292

The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST.

A.

πr/6

B.

πr/2

C.

πr/12

D.

πr/3

View Answer

67ca00ce0c643c71d77dee1f 2001
1293

Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

A.

32

B.

36

C.

33

D.

40

View Answer

67ca00ce0c643c71d77dee1f 2016
1294

If sinθ = 3/5. Find Tanθ

A.

3/4

B.

3/5

C.

2/5

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2008
1295

If p varies inversely as the square of q and p=8 when q=4, find q when p =32

A.

± 16

B.

± 8

C.

± 4

D.

± 2

View Answer

67ca00ce0c643c71d77dee1f 2008
1296

The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to

A.

Zero

B.

half of the common difference

C.

double the common difference

D.

the common difference

View Answer

67ca00ce0c643c71d77dee1f 2001
1297

Factorize 2t2 + t - 15

A.

(2t - 3)(t + 5)

B.

(t + 3)(2t - 5)

C.

(t + 3)(t - 5)

D.

(2t + 3)(t - 5)

View Answer

67ca00ce0c643c71d77dee1f 2007
1298

A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked from the basket, find the probability that it is neither an apple nor an orange.

A.

3/8

B.

1/3

C.

7/24

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2013
1299

From the diagram above, find the required roots/region of x.

A.

x≤-1, x ≥4

B.

x≤4

C.

-1≤x≤4

D.

x≤-1, o≤x≤4

View Answer

67ca00ce0c643c71d77dee1f 2016
1300

if P = {x:x is odd, −1

A.

{3,5,7,11,17,19}

B.

{3,5,11,13,17,19}

C.

{3,5,7,11,13,17,19}

D.

{2,3,5,7,11,13,17,19}

View Answer

67ca00ce0c643c71d77dee1f 2013
1301

The binary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4).

A.

59

B.

19

C.

67

D.

38

View Answer

67ca00ce0c643c71d77dee1f 2002
1302

At what value of X does the function y = -3 - 2x + X2 attain a minimum value?

A.

-1

B.

14

C.

4

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2010
1303

Calculate the distance between points L(-1, -6) and M(-3, -5)

A.

√5

B.

2√3

C.

√20

D.

√50

View Answer

67ca00ce0c643c71d77dee1f 2008
1304

What value of x will make the function x(4 - x) a maximum?

A.

4

B.

3

C.

2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2009
1305

SOLUTION:<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid none" columnlines="solid"> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>27</mn> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>13</mn> <mtext>&#xA0;rem 1</mtext> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>6</mn> <mtext>&#xA0;rem 1</mtext> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> <mtext>&#xA0;rem 0</mtext> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>1</mn> <mtext>&#xA0;rem 1</mtext> </mtd> </mtr> <mtr> <mtd /> <mtd> <mn>0</mn> <mtext>&#xA0;rem 1</mtext> </mtd> </mtr> </mtable> <mo stretchy="false">&#x2191;<!-- ↑ --></mo> </math>

100112 + *****2 + 111002 + 1012 = 10011112

A.

11112

B.

110112

C.

101112

D.

110012

View Answer

67ca00ce0c643c71d77dee1f 2015
1306

The histogram above shows the ages of the victims of a pollution. How many people were involved in the pollution?

A.

15

B.

18

C.

20

D.

21

View Answer

67ca00ce0c643c71d77dee1f 2003
1307

Factorize 2y2 - 15xy + 18x2

A.

(2y - 3x) (y + 6x)

B.

(2y - 3x) (y - 6x)

C.

(2y + 3x) (y - 6x)

D.

(3y + 2x) (y - 6x)

View Answer

67ca00ce0c643c71d77dee1f 2014
1308

If the variance of 3+x, 6, 4, x and 7-x is 4 and the mean is 5, find the standard deviation

A.

√3

B.

2

C.

3

D.

√2

View Answer

67ca00ce0c643c71d77dee1f 2013
1309

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>p</mi> <mo>=</mo> <msqrt> <mfrac> <mrow> <mi>r</mi> <msup> <mi>s</mi> <mn>3</mn> </msup> </mrow> <mi>t</mi> </mfrac> </msqrt> <mspace linebreak="newline" /> <mo>=</mo> <msup> <mi>p</mi> <mn>2</mn> </msup> <mo>=</mo> <mfrac> <mrow> <mi>r</mi> <msup> <mi>s</mi> <mn>3</mn> </msup> </mrow> <mi>t</mi> </mfrac> <mspace linebreak="newline" /> <mi>t</mi> <msup> <mi>p</mi> <mn>2</mn> </msup> <mo>=</mo> <mi>r</mi> <msup> <mi>s</mi> <mn>3</mn> </msup> <mspace linebreak="newline" /> <mi>r</mi> <mo>=</mo> <mfrac> <mrow> <msup> <mi>p</mi> <mn>2</mn> </msup> <mi>t</mi> </mrow> <msup> <mi>s</mi> <mn>3</mn> </msup> </mfrac> </math>

If p=√((rs3)/t), express r in terms of p, s and t?

A.

p2 t/s3

B.

p3t/s3

C.

p3t/s2

D.

pt/s3

View Answer

67ca00ce0c643c71d77dee1f 2009
1310

If the simple interest on a sum of money invested at 3% per annum for 2(1/2) years is N123, find the principal.

A.

N676.50

B.

N820

C.

N1,640

D.

N4,920

View Answer

67ca00ce0c643c71d77dee1f 2018
1311

In the diagram given, find the value of x.

A.

30°

B.

40°

C.

45°

D.

15°

View Answer

67ca00ce0c643c71d77dee1f 2013
1312

Integral ∫(5x3 + 7x2 − 2x +5) dx

A.

5x4 /4 + 7x3 /3 + 2x + C

B.

5x4 /4 + 7x3 /3 − x2 + 5x + C

C.

5x3 /3 + 7x2 /x − x + C

D.

2x2 /3 + x/5 − C

View Answer

67ca00ce0c643c71d77dee1f 2015
1313

In how many ways can the word MACICITA be arranged?

A.

8!/2!

B.

8!/3!2!

C.

8!/2!2!2!

D.

8!

View Answer

67ca00ce0c643c71d77dee1f 2017
1314

On a pie chart there are six sectors of which four angles are 30°, 45°, 60°, 90° and the remaining two angles are in the ratio 2:1. Find the smallest angles of the remaining two angles.

A.

15°

B.

30°

C.

45°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2008
1315

The bar chart above shows different colours of passing a particular point of a certain street in two minutes. What fraction of the total number of cars is yellow?

A.

3/25

B.

2/25

C.

1/5

D.

4/15

View Answer

67ca00ce0c643c71d77dee1f 2001
1316

In the diagram above, l1 is parallel to l2, Find the value of < PMT

A.

82°

B.

36°

C.

72°

D.

118°

View Answer

67ca00ce0c643c71d77dee1f 2016
1317

The journey from Lagos to Ibadan usually takes a motorist 1 hour 30 minutes. By increasing his average speed by 20km/hr, the motorist saves 15 minutes. His usual speed, in Km/hr is

A.

100

B.

90

C.

85

D.

80

View Answer

67e856d33cf20db308447ec1 2007
1318

A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?

A.

N53,000

B.

N52,000

C.

N51,000

D.

N50,000

View Answer

67ca00ce0c643c71d77dee1f 2014
1319

Given that I3 is a unit matrix of order 3, find |I3 |

A.

-1

B.

0

C.

1

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2012
1320

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

A.

3

B.

4

C.

5

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2018
1321

Find dy/dx. If y = 3x3 + 2x2 + 3x + 1

A.

9x2 + 4x + 3

B.

9x2 - 4x - 3

C.

9x2 + 4x - 3

D.

9x2 - 4x + 3

View Answer

67ca00ce0c643c71d77dee1f 2016
1322

The nth term of two sequences are Qn = 3 . 2n - 2 and Um = 3 . 22m - 3. Find the product of Q2 and U2.

A.

18

B.

12

C.

6

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2004
1323

If 4sin2x−3=0, find the value of x, when 0° ≤ x ≤ 90°

A.

90°

B.

45°

C.

60°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2019
1324

Given that Z = {1,2,4,5} what is the power of set Z?

A.

16

B.

8

C.

10

D.

12

View Answer

67ca00ce0c643c71d77dee1f 2015
1325

Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF = 52° and ∠LOH = 85°, calculate the size of ∠EOG.

A.

26°

B.

43°

C.

52°

D.

85°

View Answer

67ca00ce0c643c71d77dee1f 2005
1326

A surveyor walks 500m up a hill which slopes at an angle of 30o . Calculate the vertical height through which he rises

A.

252 m

B.

500 m

C.

250 m

D.

255 m

View Answer

67ca00ce0c643c71d77dee1f 2020
1327

If the operation * on the set of integers is defined by P * Q = √PQ , find the value of 4 * ( 8 * 32).

A.

8

B.

3

C.

16

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2004
1328

Evaluate 21.05347 - 1.6324 x 0.43 to 3 decimal places

A.

20.98

B.

20.351

C.

20.981

D.

20.352

View Answer

67ca00ce0c643c71d77dee1f 2001
1329

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mi>X</mi> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>45</mn> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>15</mn> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>60</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mi>X</mi> <mo>=</mo> <mfrac> <mrow> <mn>15</mn> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>45</mn> </mrow> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>60</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mi>X</mi> <mo>=</mo> <mfrac> <mrow> <mn>15</mn> <mo>&#x00D7;<!-- × --></mo> <mo stretchy="false">(</mo> <mfrac> <mn>1</mn> <msqrt> <mn>2</mn> </msqrt> </mfrac> <mo stretchy="false">)</mo> </mrow> <msqrt> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </msqrt> </mfrac> <mspace linebreak="newline" /> <mi>X</mi> <mo>=</mo> <mfrac> <mn>15</mn> <msqrt> <mn>2</mn> </msqrt> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mspace linebreak="newline" /> <mi>X</mi> <mo>=</mo> <mfrac> <mn>30</mn> <msqrt> <mn>6</mn> </msqrt> </mfrac> <mspace linebreak="newline" /> <mi>X</mi> <mo>=</mo> <mfrac> <mn>30</mn> <msqrt> <mn>6</mn> </msqrt> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <msqrt> <mn>6</mn> </msqrt> <msqrt> <mn>6</mn> </msqrt> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>30</mn> <msqrt> <mn>6</mn> </msqrt> </mrow> <mn>6</mn> </mfrac> <mo>=</mo> <mn>5</mn> <msqrt> <mn>6</mn> </msqrt> </math>

Find the value of x in the figure above

A.

15√6

B.

20√6

C.

3√6

D.

5√6

View Answer

67ca00ce0c643c71d77dee1f 2004
1330

In how many ways can the letters of the word TOTALITY be arranged?

A.

6720

B.

6270

C.

6207

D.

6027

View Answer

67ca00ce0c643c71d77dee1f 2012
1331

Find the range of values of x for which 7x - 3 > 25 + 3x

A.

x >7

B.

x<7

C.

x>-7

D.

x<-7

View Answer

67ca00ce0c643c71d77dee1f 2005
1332

Find the value of x for which the function 3x3 - 9x is minimum

A.

zero

B.

2

C.

3

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2006
1333

The probabilities that John and James pass an examination are 3/4 and 3/5 respectively. Find the probability of both boys failing the examination.

A.

1/10

B.

2/10

C.

9/20

D.

11/20

View Answer

67ca00ce0c643c71d77dee1f 2018
1334

Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women.

A.

24

B.

18

C.

3

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2003
1335

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mrow> <mo>(</mo> <mfrac> <mn>81</mn> <mn>16</mn> </mfrac> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mn>4</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>=</mo> <mfrac> <mn>1</mn> <msup> <mrow> <mo>(</mo> <mfrac> <mn>81</mn> <mn>16</mn> </mfrac> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </msup> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mn>16</mn> <mn>81</mn> </mfrac> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </msup> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </math>

Evaluate (81/16)−1/4 × 2−1

A.

1/3

B.

3

C.

6

D.

1/6

View Answer

67ca00ce0c643c71d77dee1f 2010
1336

If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?

A.

p varies directly as r3

B.

p varies inversely as r6

C.

p varies inversely as 6√P

D.

p varies directly as r6

View Answer

67ca00ce0c643c71d77dee1f 2006
1337

PQRSTW is a regular hexagon and QS intersects RT at V. Calculate ∠TVS

A.

120°

B.

90°

C.

30°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2006
1338

Find the mid point of S(-5, 4) and T(-3, -2)

A.

-4, 2

B.

4, -2

C.

-4, 1

D.

4, -1

View Answer

67ca00ce0c643c71d77dee1f 2014
1339

Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters [π = 22/7]

A.

44,000 liters

B.

4,400 liters

C.

440 liters

D.

44 liters

View Answer

67ca00ce0c643c71d77dee1f 2008
1340

The equation of the line in the graph is

A.

3y = 3x + 12

B.

3y = 3x + 12

C.

3y = -4x + 12

D.

3y = -4x + 9

View Answer

67ca00ce0c643c71d77dee1f 2020
1341

Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36o.

A.

18cm

B.

(18 + 9π/5)cm

C.

(9 + 9π/5)cm

D.

9π/5cm

View Answer

67ca00ce0c643c71d77dee1f 2016
1342

The average age of the three children in a family is 9 years. If the average age of their parent is 39 years, the average age of the whole family is:

A.

20 years

B.

21years

C.

24years

D.

27years

View Answer

67e856d33cf20db308447ec1 2007
1343

Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio

A.

3/2

B.

2/3

C.

1/2

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2020
1344

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>x</mi> <mo>=</mo> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mi>b</mi> <mo>&#x00B1;<!-- ± --></mo> <msqrt> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mi>a</mi> <mi>c</mi> </msqrt> </mrow> <mrow> <mn>2</mn> <mi>a</mi> </mrow> </mfrac> </math>

Solve the equation 3x2 − 4x − 5 = 0

A.

x = 1.75 or − 0.15

B.

x = 2.12 or − 0.79

C.

x = 1.5 or − 0.34

D.

x = 2.35 or −1.23

View Answer

67ca00ce0c643c71d77dee1f 2015
1345

Convert 0.04945 to two significant figures

A.

0.040

B.

0.049

C.

0.050

D.

0.49

View Answer

67ca00ce0c643c71d77dee1f 2018
1346

When the price of egg was raised by N2 an egg, the number of eggs which can be bought for N 120 is reduced by 5. The present price of an egg is

A.

N 6.

B.

N 7

C.

N 8

D.

N10

View Answer

67e856d33cf20db308447ec1 2007
1347

Find the minimum value of the function y = x(1+x)

A.

-1/4

B.

-1/2

C.

1/4

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2008
1348

An arc of the length 16π cm subtends an angle of 80° at the centre of the circle. Find the radius of the circle.

A.

24cm

B.

28cm

C.

36cm

D.

32cm

View Answer

67ca00ce0c643c71d77dee1f 2016
1349

A sector circle of radius 7.2cm which subtends an angle of 3000 at the centre is used to form a cone. What is the radius of the base of the cone?.

A.

6cm

B.

7cm

C.

8cm

D.

9cm

View Answer

67e856d33cf20db308447ec1 2009
1350

If the volume of a frustrum is given as V=πh/3(R22.

A.

πh/3(2R + r)

B.

2R + r + πh/3

C.

πh/3(2R2)

D.

2R2

View Answer

67ca00ce0c643c71d77dee1f 2019
1351

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>P</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mfrac> <mrow> <mi>Q</mi> <mo stretchy="false">(</mo> <mi>R</mi> <mo>&#x2212;<!-- − --></mo> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> <mn>15</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> </math>

IfP=((Q(R-T))/15 )(1/3), make T the subject of the formula.

A.

T=(15R-Q)/P3

B.

T=R-(15P3)/Q

C.

T=(R-15P3)/Q

D.

T=(R+P3)/15Q

View Answer

67ca00ce0c643c71d77dee1f 2019
1352

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

A.

bisector of the two lines

B.

line parallel to the two lines

C.

angle bisector of the two lines

D.

perpendicular bisector of the two lines

View Answer

67ca00ce0c643c71d77dee1f 2019
1353

A bricklayer charges ₦1,500 per day for himself and ₦500 per day for his assistant. If a two bedroom flat was built for ₦95,000 and the bricklayer worked 10 days more than his assistant, how much did the assistant receive?

A.

N20,000

B.

N28,000

C.

N31,200

D.

N41,000

View Answer

67ca00ce0c643c71d77dee1f 2019
1354

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mi>x</mi> </mtd> <mtd> <mn>9</mn> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> <mo>=</mo> <mn>58</mn> </math>

If ∣∣∣2x−49∣∣∣=58 , find the value of x.

A.

10

B.

30

C.

14

D.

28

View Answer

67ca00ce0c643c71d77dee1f 2019
1355

In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

A.

42

B.

20

C.

70

D.

54

View Answer

67ca00ce0c643c71d77dee1f 2019
1356

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msqrt> <mn>2</mn> </msqrt> <mo>+</mo> <msqrt> <mn>3</mn> </msqrt> </mrow> <mrow> <msqrt> <mn>2</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> </math>

Rationalize (√2+√3)/(√2-√3)

A.

−5−2√6

B.

−5 + 3√2

C.

5 − 2√3

D.

5 + 2√6

View Answer

67ca00ce0c643c71d77dee1f 2019
1357

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo stretchy="false">(</mo> <mn>2</mn> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>x</mi> </math>

Integrate ∫(-1)2(2x2 + x)dx

A.

4(1/2)

B.

3(1/2)

C.

7(1/2)

D.

5(1/24)

View Answer

67ca00ce0c643c71d77dee1f 2019
1358

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo stretchy="false">(</mo> <mfrac> <mn>6</mn> <mn>0.32</mn> </mfrac> <mo>&#x00F7;<!-- ÷ --></mo> <mfrac> <mn>2</mn> <mn>0.084</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> </math>

Evaluate (6/0.32÷2/0.084 )(-1) correct to 1 decimal place.

A.

1.3

B.

2.5

C.

4.6

D.

3.2

View Answer

67ca00ce0c643c71d77dee1f 2019
1359

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mi>m</mi> <mi>n</mi> </mrow> <msup> <mi>a</mi> <mn>2</mn> </msup> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mrow> <mi>p</mi> <mi>q</mi> </mrow> <msup> <mi>b</mi> <mn>2</mn> </msup> </mfrac> <mo>=</mo> <mn>1</mn> </math>

Make q the subject of the formula in the equation mn/a2− pq/b2 = 1

A.

q=(b2 (mn-a2))/(a2 p)

B.

q=(m2 n-a2)/p2

C.

q=(mn-2b2)/a2

D.

View Answer

67ca00ce0c643c71d77dee1f 2019
1360

If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

A.

50 units per sec

B.

35 units per sec

C.

22 units per sec

D.

13 units per sec

View Answer

67ca00ce0c643c71d77dee1f 2019
1361

Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.

A.

24°

B.

56°

C.

127°

D.

156°

View Answer

67ca00ce0c643c71d77dee1f 2019
1362

Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.

A.

1080°

B.

1260°

C.

2160°

D.

1800°

View Answer

67ca00ce0c643c71d77dee1f 2019
1363

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>y</mi> <mo>=</mo> <mn>6</mn> <msup> <mi>x</mi> <mn>3</mn> </msup> <mo>+</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> </mrow> </msup> </math>

If y=6x3 +2x(-2) - x(-3), find dy/dx .

A.

dy/dx=15x2 -4x(-2) - 3x(-2)

B.

dy/dx = 6x + 4x(-1) - 3x(-4)

C.

dy/dx=18x2-4x(-3) + 3x(-4)

D.

dy/dx=12x2 + 4x(-1)-3x(-2)

View Answer

67ca00ce0c643c71d77dee1f 2019
1364

The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is

A.

31°

B.

30°

C.

26°

D.

48°

View Answer

67ca00ce0c643c71d77dee1f 2019
1365

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A.

148 m

B.

382 m

C.

282 m

D.

248 m

View Answer

67ca00ce0c643c71d77dee1f 2019
1366

In how many ways can the word MATHEMATICIAN be arranged?

A.

6794800 ways

B.

2664910 ways

C.

6227020800 ways

D.

129729600 ways

View Answer

67ca00ce0c643c71d77dee1f 2019
1367

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd /> <mtd> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mover> <mover> <mrow> <mo>)</mo> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd /> <mtd> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mo>+</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> <mi>x</mi> <mo>+</mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd /> <mtd> <munder> <mrow> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <mi>x</mi> </mrow> <mo>&#x005F;<!-- _ --></mo> </munder> </mtd> </mtr> <mtr> <mtd /> <mtd> <mtext>&#xA0;</mtext> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>+</mo> <mi>x</mi> <mo>+</mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd /> <mtd> <mtext>&#xA0;</mtext> <munder> <mrow> <mtext>&#xA0;</mtext> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> </mrow> <mo>&#x005F;<!-- _ --></mo> </munder> </mtd> </mtr> </mtable> </mrow> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> <mo accent="false">&#x00AF;<!-- ¯ --></mo> </mover> <mrow> <mn>6</mn> <mi>x</mi> <mo>+</mo> <mn>8</mn> </mrow> </mover> </mtd> </mtr> <mtr> <mtd /> <mtd> <mtext>&#xA0;</mtext> <mn>9</mn> <mi>x</mi> <mo>+</mo> <mn>9</mn> </mtd> </mtr> <mtr> <mtd /> <mtd> <mtext>The remainder is&#xA0;</mtext> <mn>9</mn> <mi>x</mi> <mo>+</mo> <mn>9</mn> </mtd> </mtr> </mtable> </math>

if 6x3+2x2-5x+1 divides x2−x−1 , find the remainder.

A.

9x + 9

B.

2x + 6

C.

6x + 8

D.

5x - 3

View Answer

67ca00ce0c643c71d77dee1f 2019
1368

If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.

A.

y = 5x + 2

B.

y = 5x + 3

C.

y = 12x + 2

D.

y = 22x + 3

View Answer

67ca00ce0c643c71d77dee1f 2019
1369

The nth term of a sequence is given by 2(2n−1). Find the sum of the first four terms.

A.

74

B.

32

C.

42

D.

170

View Answer

67ca00ce0c643c71d77dee1f 2019
1370

If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

A.

m = 0, n = 4

B.

m = 4, n = 0

C.

m = 2, n = 2

D.

m = -2, n = 4

View Answer

67ca00ce0c643c71d77dee1f 2019
1371

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>0.0839</mn> <mo>&#x00D7;<!-- × --></mo> <mn>6.381</mn> </mrow> <mn>5.44</mn> </mfrac> </math>

Simplify (0.0839 × 6.381)/5.44 to 2 significant figures.

A.

0.2809

B.

2.51

C.

3.5

D.

0.098

View Answer

67ca00ce0c643c71d77dee1f 2019
1372

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>&#x00F7;<!-- ÷ --></mo> <mfrac> <mn>4</mn> <mn>5</mn> </mfrac> </mrow> <mrow> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mo>+</mo> <mfrac> <mn>3</mn> <mn>5</mn> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </mfrac> </math>

(2/3÷4/5)/(1/4+3/5-1/3)

A.

31/50

B.

20/31

C.

31/20

D.

50/31

View Answer

67ca00ce0c643c71d77dee1f 2019
1373

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

A.

48.6°

B.

56.3°

C.

46.8°

D.

13°

View Answer

67ca00ce0c643c71d77dee1f 2019
1374

The simple interest on ₦8550 for 3 years at x% per annum is ₦4890. Calculate the value of x to the nearest whole number.

A.

19%

B.

20%

C.

25%

D.

16.3%

View Answer

67ca00ce0c643c71d77dee1f 2019
1375

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>3</mn> <msup> <mi>x</mi> <mn>3</mn> </msup> <mo>+</mo> <mn>4</mn> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> </math>

if f(x)=3x3+4x2+x - 8, what is the value of f(-2)?

A.

-24

B.

30

C.

-18

D.

-50

View Answer

67ca00ce0c643c71d77dee1f 2019
1376

If 2(x+y) = 16 and 4(x-y)=1/32 , find the values of x and y.

A.

x = 3/4, y = 11/4

B.

x = 3/4, y = 13/4

C.

x = 2/3, y = 4/5

D.

x = 2/3, y = 13/4

View Answer

67ca00ce0c643c71d77dee1f 2019
1377

If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.

A.

12

B.

8

C.

9

D.

16

View Answer

67ca00ce0c643c71d77dee1f 2019
1378

Solve the inequality: -7 ≤ 9 - 8x < 16 - x

A.

-1 ≤ x ≤ 2

B.

-1 ≤ x < 2

C.

-1 < x < 2

D.

-1 < x ≤ 2

View Answer

67ca00ce0c643c71d77dee1f 2019
1379

Tade bought 200 mangoes at 4 for ₦2.50. 30 out of the mangoes got spoilt and the remaining were sold at 2 for ₦2.40. Find the percentage profit or loss.

A.

43.6% loss

B.

35% profit

C.

63.2% profit

D.

28% loss

View Answer

67ca00ce0c643c71d77dee1f 2019
1380

In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

A.

26°

B.

13°

C.

80°

D.

102°

View Answer

67ca00ce0c643c71d77dee1f 2019
1381

Find the mean of the data.

A.

3.26

B.

4.91

C.

6.57

D.

3.0

View Answer

67ca00ce0c643c71d77dee1f 2019
1382

Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30

A.

x = 3 or 7, y = 12 or 8

B.

x = 6 or 1, y = 11 or 5

C.

x = 2 or 5, y = 15 or 6

D.

x = 1 or 5, y = 10 or 7

View Answer

67ca00ce0c643c71d77dee1f 2019
1383

Given sin58° = cos p°, find p.

A.

48°

B.

58°

C.

32°

D.

52°

View Answer

67ca00ce0c643c71d77dee1f 2019
1384

Simplify 81(−3/4) x 25(1/2) x 2432/5

A.

2/5

B.

3/5

C.

5/2

D.

5/3

View Answer

67ca00ce0c643c71d77dee1f 2019
1385

Express (0.0439÷3.62) as a fraction.

A.

21/100

B.

21/1000

C.

12/1000

D.

12/100

View Answer

67ca00ce0c643c71d77dee1f 2019
1386

The weight of a day-old chick was measured to be 0.21g. If the actual weight of the chick is 0.18g, what was the percentage error in the measurement?

A.

15.5%

B.

18.2%

C.

14.8%

D.

16.7%

View Answer

67ca00ce0c643c71d77dee1f 2019
1387

In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.

A.

56 cm2

B.

24 cm2

C.

42 cm2

D.

34 cm2

View Answer

67ca00ce0c643c71d77dee1f 2019
1388

A binary operation ⊗ is defined by m ⊗ n = mn + m − n on the set of real numbers, for all m, n ∈ R. Find the value of 3 ⊗ (2⊗ 4).

A.

6

B.

25

C.

15

D.

18

View Answer

67ca00ce0c643c71d77dee1f 2019
1389

From the cyclic quadrilateral MNOP above, find the value of x.

A.

16°

B.

25°

C.

42°

D.

39°

View Answer

67ca00ce0c643c71d77dee1f 2019
1390

Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?

A.

1/16

B.

1/6

C.

1/4

D.

3/8

View Answer

67ca00ce0c643c71d77dee1f 2018
1391

Given that Sin (5x − 28)° = Cos(3x − 50)°, 0 < x < 90° Find the value °f x

A.

14°

B.

21°

C.

32°

D.

39°

View Answer

67ca00ce0c643c71d77dee1f 2018
1392

Evaluate (2√3 - 4) (2√3 + 4)

A.

-4

B.

-2

C.

2

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2018
1393

Using the table,What is the modal age?

A.

4

B.

5

C.

5

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2018
1394

What is the place value of 9 in the number 3.0492?

A.

9/10000

B.

9/1000

C.

9/100

D.

9/10

View Answer

67ca00ce0c643c71d77dee1f 2018
1395

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given. Mark 0 1 2 3 4 5 Frequency 1 2 7 5 4 3 What is the probability of selecting a student from the group that scored 2 or 3

A.

1/11

B.

5/22

C.

7/22

D.

6/11

View Answer

67ca00ce0c643c71d77dee1f 2018
1396

The figure above is a Venn diagram showing the elements arranged within sets A,B,C,ε. Use the figure to answer this question What is n(A U B)1 ?

A.

2

B.

3

C.

4

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2018
1397

A trader realises 10x - x2 Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

A.

7

B.

6

C.

5

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2018
1398

In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

A.

4

B.

8

C.

16

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2018
1399

If x/(a+1) + y/b = 1. Make y the subject of the relation.

A.

b(a+1−x)/(a+1)

B.

(a+1)/b(a−x+1)

C.

a(b−x+1)/(b+1)

D.

b/(a(b−x+1))

View Answer

67ca00ce0c643c71d77dee1f 2018
1400

Evaluate ∫21 5/x dx

A.

1.47

B.

2.67

C.

3.23

D.

3.47

View Answer

67ca00ce0c643c71d77dee1f 2018
1401

In how many ways can the letters LEADER be arranged?

A.

72

B.

144

C.

360

D.

720

View Answer

67ca00ce0c643c71d77dee1f 2018
1402

Integrate the expression 6x2 - 2x + 1

A.

3x3 - 2x2 + x + c

B.

2x3 - x2 + x + c

C.

2x3 – 3x2 + c

D.

x2 + x2 – x + c

View Answer

67ca00ce0c643c71d77dee1f 2018
1403

A man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year.

A.

N828.00

B.

N756.00

C.

N720.00

D.

N684.00

View Answer

67ca00ce0c643c71d77dee1f 2018
1404

Find the average of the first four prime numbers greater than 10

A.

20

B.

19

C.

17

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2018
1405

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msup> <mn>25</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mo>&#x00F7;<!-- ÷ --></mo> <msup> <mn>25</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> </mrow> </msup> </mrow> <mrow> <mo stretchy="false">(</mo> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>7</mn> <mn>6</mn> </mfrac> </mrow> </msup> <mo>&#x00F7;<!-- ÷ --></mo> <mo stretchy="false">(</mo> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> </mrow> </msup> </mrow> </mfrac> </math>

Simplify (〖25〗2/3)÷〖25〗(1/6))/((1/5 )(7/6)÷(1/5 )(1/6) )

A.

25

B.

1

C.

1/5

D.

1/25

View Answer

67ca00ce0c643c71d77dee1f 2018
1406

A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

A.

52 cm

B.

43 cm

C.

40 cm

D.

15 cm

View Answer

67ca00ce0c643c71d77dee1f 2018
1407

A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

A.

420 Km

B.

405 Km

C.

210 Km

D.

200 Km

View Answer

67ca00ce0c643c71d77dee1f 2018
1408

Use the quadratic equation curve to answer this questions What is the minimum value of the graph?

A.

-5.3

B.

0.5

C.

3

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2018
1409

What is the loci of a distance 4cm from a given point P?

A.

A straight line of length 4cm

B.

a circle of radius 4cm

C.

perpendicular to point P at 4cm

D.

a circle of diameter 4cm

View Answer

67ca00ce0c643c71d77dee1f 2018
1410

The table above shows the frequency of children age x years in a hospital x 1 2 3 4 5 6 7 8 y 3 4 5 6 7 6 5 4 How many children are in the hospital

A.

36

B.

40

C.

44

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2018
1411

Calculate 243six – 243five expressing your answer in base 10

A.

0

B.

1

C.

26

D.

46

View Answer

67ca00ce0c643c71d77dee1f 2018
1412

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given. Mark 0 1 2 3 4 5 Frequency 1 2 7 5 4 3 What is the median mark?

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2018
1413

A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

A.

N16,200

B.

N14,200

C.

N12,000

D.

N8,000

View Answer

67ca00ce0c643c71d77dee1f 2018
1414

Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

A.

1920cm2

B.

592cm2

C.

296cm2

D.

148cm2

View Answer

67ca00ce0c643c71d77dee1f 2018
1415

In the figure below, /MX/ = 8cm, /XN/ = 12cm, /NZ/ = 4cm and ∠ XMN = ∠ XZY. Calculate /YM/

A.

32 cm

B.

24 cm

C.

16 cm

D.

12 cm

View Answer

67ca00ce0c643c71d77dee1f 2018
1416

Find the value of x in the diagram

A.

10°

B.

28°

C.

36°

D.

40°

View Answer

67ca00ce0c643c71d77dee1f 2018
1417

Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12

A.

5x + 7y = 20

B.

7x + 5y = 70

C.

xy = 7

D.

15x + 17y = 90

View Answer

67ca00ce0c643c71d77dee1f 2018
1418

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>0.00256</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.0064</mn> </mrow> <mrow> <mn>0.025</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.08</mn> </mrow> </mfrac> </math>

(0.00256×0.0064)/(0.025 × 0.08)

A.

8.8 x 10-1

B.

8.8 x 10-2

C.

8.2 x 10-3

D.

8.8 x 103

View Answer

67ca00ce0c643c71d77dee1f 2018
1419

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

A.

1000

B.

2000

C.

3000

D.

4000

View Answer

67ca00ce0c643c71d77dee1f 2018
1420

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = 22/7)

A.

14.67 cm

B.

73.33 cm

C.

101.33 cm

D.

513.33 cm

View Answer

67ca00ce0c643c71d77dee1f 2018
1421

Tanθ is positive and Sinθ is negative. In which quadrant does θ lies

A.

Second only

B.

Third only

C.

Fourth only

D.

First and third only

View Answer

67ca00ce0c643c71d77dee1f 2018
1422

Evaluate log2 8 – log3 1/9

A.

-11(1/2)

B.

-1

C.

1

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2018
1423

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mi>Q</mi> <mo stretchy="false">(</mo> <mi>R</mi> <mo>&#x2212;<!-- − --></mo> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> <mn>15</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </msup> </math>

p = [(Q(R - T)/(15))]1/3

A.

T = (R+P3)/15Q

B.

T = (R-15P3)/Q

C.

T = R - (15P3)/Q

D.

T = (15R+Q)/P3

View Answer

67ca00ce0c643c71d77dee1f 2018
1424

If y = 23five + 101three , find y, leaving your answer in base two

A.

1110

B.

10111

C.

11101

D.

111100

View Answer

67ca00ce0c643c71d77dee1f 2018
1425

Find the equation of the tangent at the point (2, 0) to the curve y = x2 - 2x

A.

y = 2x - 4

B.

y = 2x + 4

C.

y = 2x - 2

D.

y = 2x + 2

View Answer

67ca00ce0c643c71d77dee1f 2018
1426

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.

A.

15/17

B.

9/17

C.

8/15

D.

12/17

View Answer

67ca00ce0c643c71d77dee1f 2018
1427

Solve for t in the equation 3/4 t + 13 (21 - t) = 11

A.

9/13

B.

7/13

C.

5

D.

9(3/5)

View Answer

67ca00ce0c643c71d77dee1f 2018
1428

A boy walks 800m in 20 minutes. Calculate his average speed in Km/H

A.

2.4

B.

4

C.

24

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2018
1429

If temperature t is directly proportional to heat h, and when t = 20oC, h = 50 J, find t when h = 60J

A.

24°C

B.

20°C

C.

34°C

D.

30°C

View Answer

67ca00ce0c643c71d77dee1f 2017
1430

The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base π = 22/7

A.

2.6cm

B.

3.5cm

C.

3.6cm

D.

7.0cm

View Answer

67ca00ce0c643c71d77dee1f 2017
1431

Evaluate (sin45° + sin30° ) in surd form

A.

√3/2√2

B.

√3 − 1/2

C.

1/2 √2

D.

1+√2/2

View Answer

67ca00ce0c643c71d77dee1f 2017
1432

What is the next number in the series 2, 1, 1/2, 1/4 ...

A.

1/3

B.

2/8

C.

3/7

D.

1/8

View Answer

67ca00ce0c643c71d77dee1f 2017
1433

Evaluate 0.00000231/0.007 and leave the answer in standard form

A.

3.3 x 10-4

B.

3.3 x 10-3

C.

3.3 x 10-5

D.

3.3 x 10-8

View Answer

67ca00ce0c643c71d77dee1f 2017
1434

y is inversely proportional to x and y is 6 when x = 7. Find the constant of the variation

A.

47

B.

42

C.

54

D.

46

View Answer

67ca00ce0c643c71d77dee1f 2017
1435

A card is picked at random from a pack of 52 well shuffled playing cards. Find the probability of NOT picking a red cards in the pack. If there are 13 red card in the pack

A.

3/4

B.

2/3

C.

1/3

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2017
1436

Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5)

A.

2x + 2y = 9

B.

2x + 3y = 8

C.

2x + y = 9

D.

x + 2y = 8

View Answer

67ca00ce0c643c71d77dee1f 2017
1437

The bar chart above is a representation of a candidate’s scores in UTME in 2014, find his total scores

A.

210

B.

240

C.

340

D.

200

View Answer

67ca00ce0c643c71d77dee1f 2017
1438

Find the gradient of the line joining the points (3, 2) and (1, 4)

A.

3/2

B.

2/1

C.

-1

D.

3/2

View Answer

67ca00ce0c643c71d77dee1f 2017
1439

Simplify 4√27 + 5√12 − 3√75

A.

7

B.

-7

C.

-7√3

D.

7√3

View Answer

67ca00ce0c643c71d77dee1f 2017
1440

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60°

A.

100o

B.

140°

C.

120°

D.

10°

View Answer

67ca00ce0c643c71d77dee1f 2017
1441

In the diagram above MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140°, find, to the nearest cm, the length of the chord MN.

A.

10cm

B.

19cm

C.

17cm

D.

12cm

View Answer

67ca00ce0c643c71d77dee1f 2017
1442

Factorize completely X2 +2XY+Y2 +3X+3Y-18

A.

(x + y + 6)(x + y -3)

B.

(x - y - 6)(x - y + 3)

C.

(x - y + 6)(x - y - 3)

D.

(x + y - 6)(x + y + 3)

View Answer

67ca00ce0c643c71d77dee1f 2017
1443

The locus of a point which is equidistant from the line PQ forms a

A.

circle centre P

B.

pair of parallel lines each opposite to PQ

C.

circle centre Q

D.

perpendicular line to PQ

View Answer

67ca00ce0c643c71d77dee1f 2017
1444

In how many ways can the word MATHEMATICS be arranged?

A.

11!/9!2!

B.

11!/9!2!2!

C.

11!/2!2!2!

D.

11!/2!2!

View Answer

67ca00ce0c643c71d77dee1f 2017
1445

Evaluate 1 - (1/5 x 2/3) + ( 5 + 2/3)

A.

4

B.

3

C.

2(2/3)

D.

98/15

View Answer

67ca00ce0c643c71d77dee1f 2017
1446

Given m = N√(SL/T) make T the subject of the formula

A.

NSL/M

B.

N2SL/M2

C.

N2SLM

D.

NSL/M2

View Answer

67ca00ce0c643c71d77dee1f 2017
1447

Find the number of ways that the letters of the word EXCELLENCE be arranged

A.

(10!2!2!)/2!

B.

(10!4!)/2!

C.

10!/4!2!2!

D.

10!/2!2!

View Answer

67ca00ce0c643c71d77dee1f 2017
1448

In the figure, find x

A.

40°

B.

55°

C.

50°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2017
1449

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 7, 10, 6, 5

A.

16

B.

14

C.

12

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2017
1450

Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum

A.

₦ 4,900

B.

₦ 5,000

C.

₦ 4,700

D.

₦ 4,000

View Answer

67ca00ce0c643c71d77dee1f 2017
1451

The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer

A.

₦ 35, 000

B.

₦ 40,000

C.

₦ 25,000

D.

₦ 20,000

View Answer

67ca00ce0c643c71d77dee1f 2017
1452

Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

A.

1.03

B.

0.07

C.

0.03

D.

1.0

View Answer

67ca00ce0c643c71d77dee1f 2017
1453

The value of x + x ( xx) when x = 2 is

A.

16

B.

10

C.

18

D.

24

View Answer

67ca00ce0c643c71d77dee1f 2017
1454

A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

A.

23m

B.

25m

C.

20m

D.

22m

View Answer

67ca00ce0c643c71d77dee1f 2017
1455

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>2</mn> <msqrt> <mn>3</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>2</mn> </msqrt> </mrow> <mrow> <msqrt> <mn>3</mn> </msqrt> <mo>+</mo> <mn>2</mn> <msqrt> <mn>2</mn> </msqrt> </mrow> </mfrac> </math>

If (2√3−√2)/(√3+2√2) = m + n √ 6, find the values of m and n respectively

A.

1, − 2

B.

− 2, n = 1

C.

−2/5 , 1

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2017
1456

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

A.

8

B.

6

C.

4

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2017
1457

If a rod 10cm in length was measured as 10.5cm, calculate the percentage error

A.

5%

B.

10%

C.

8%

D.

7%

View Answer

67ca00ce0c643c71d77dee1f 2017
1458

If α and β are the roots of the equation 3x2β

A.

-5/4

B.

-2/3

C.

1/2

D.

5/2

View Answer

67ca00ce0c643c71d77dee1f 2017
1459

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mi>s</mi> <msup> <mi>m</mi> <mn>2</mn> </msup> </mrow> <mrow> <mi>n</mi> <mi>r</mi> </mrow> </mfrac> </math>

Make S the subject of the relation p = s + (sm2)/nr

A.

s = nrpn/r+m2

B.

s = nr + m2 /mrp

C.

s = nrp/mr + m2

D.

s = nrp/nr + m2

View Answer

67ca00ce0c643c71d77dee1f 2017
1460

What is the product of 2x2x

A.

4x3 − 8x2 + 5x + 3

B.

−4x3 + 8x2 − 5x + 3

C.

−4x3 − 8x2 + 5x + 3

D.

4x3 + 8x2 − 5x + 3

View Answer

67ca00ce0c643c71d77dee1f 2017
1461

If two graphs Y = px2 + q and y = 2x2 − 1 intersect at x =2, find the value of p in terms of q

A.

q − 8/7

B.

7 − q/4

C.

8 − q/2

D.

7 + q/8

View Answer

67ca00ce0c643c71d77dee1f 2017
1462

The base in which the operation was performed was

A.

6

B.

2

C.

4

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2017
1463

A car dealer bought a second-hand car for 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

A.

60%

B.

32%

C.

25%

D.

20%

View Answer

67ca00ce0c643c71d77dee1f 2017
1464

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd /> <mtd> <mi></mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>,</mo> <mtext>&#xA0;</mtext> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mn>5</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi>d</mi> <mo>=</mo> <msqrt> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </msqrt> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi>d</mi> <mo>=</mo> <msqrt> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mn>4</mn> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mn>5</mn> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </msqrt> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi>d</mi> <mo>=</mo> <msqrt> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </msqrt> <mo>=</mo> <msqrt> <mn>2</mn> </msqrt> </mtd> </mtr> </mtable> </math>

Determine the distance between point P(3, 4) and Q(4,5)

A.

2

B.

√5

C.

√2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2017
1465

From the diagram above, find the value of x

A.

15°

B.

45°

C.

25°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2017
1466

Given T = { even numbers from 1 to 12 } N = {common factors of 6, 8 and 12} Find T ∩ N

A.

{2, 3}

B.

{2, 3, 4}

C.

{3, 4, 6}

D.

{2}

View Answer

67ca00ce0c643c71d77dee1f 2017
1467

If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?

A.

720 litres

B.

160 litres

C.

225 litres

D.

960 litres

View Answer

67ca00ce0c643c71d77dee1f 2016
1468

Simplify (0.026 × 0.36)/0.69 . Leave your answer in standard form

A.

1.36 x 10-4

B.

1.36 x 10-3

C.

1.36 x 10-1

D.

1.36 x 10-2

View Answer

67ca00ce0c643c71d77dee1f 2016
1469

From the diagram above, Find the value of < ROP

A.

110°

B.

70°

C.

95°

D.

85°

View Answer

67ca00ce0c643c71d77dee1f 2016
1470

If the mean of 4, y, 8 and 10 is 7. Find Y?

A.

6

B.

10

C.

7

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2016
1471

The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is

A.

2

B.

t

C.

-t

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2016
1472

Factorize k2 - 2kp + p2

A.

(k +p)2

B.

(k - p)2

C.

k2 + p2

D.

k2 - p2

View Answer

67ca00ce0c643c71d77dee1f 2016
1473

<math xmlns="http://www.w3.org/1998/Math/MathML"> <munderover> <mo>&#x222B;<!-- ∫ --></mo> <mn>0</mn> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>2</mn> </mfrac> </munderover> </math>

Evaluate ∫0π/2 sin xdx

A.

2

B.

-1

C.

1

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2016
1474

From the diagram above, find the value of < OTQ

A.

230°

B.

55°

C.

115°

D.

65°

View Answer

67ca00ce0c643c71d77dee1f 2016
1475

If N = p/2((T1 −T2 )/T1 ). Find P when N = 12, T1 = 27 and T2 = 24.

A.

48

B.

108

C.

54

D.

216

View Answer

67ca00ce0c643c71d77dee1f 2016
1476

If y = 2x3 + 6x2 + 6x + 1, Find dy/dx

A.

6x2 + 12x + 1

B.

6x2 + 6x + 1

C.

6x2 + 6x + 6

D.

6x2 + 12x + 6

View Answer

67ca00ce0c643c71d77dee1f 2016
1477

If the 2nd term of a G.P is 8/9 and the 6th term is 4(1/2) . Find the common ratio.

A.

2

B.

3/2

C.

2/3

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2016
1478

The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday?

A.

17

B.

22

C.

20

D.

16

View Answer

67ca00ce0c643c71d77dee1f 2016
1479

Determine the mean score of the student that took the mathematics test?

A.

4.5

B.

4.3

C.

4.2

D.

4.6

View Answer

67ca00ce0c643c71d77dee1f 2016
1480

Find dy/dx, if y = 2/3 x3 - 4/x

A.

3x2 - 4/x

B.

2x2 +4/x2

C.

3x2 + 4/x2

D.

2x2 - 4/x

View Answer

67ca00ce0c643c71d77dee1f 2016
1481

In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?

A.

45

B.

10

C.

35

D.

30

View Answer

67ca00ce0c643c71d77dee1f 2016
1482

Solve for x and y respectively 3x - 5y = 9 6x - 4y = 12

A.

3/4 , 1

B.

4/3 , 1

C.

3/4 , -1

D.

4/3 , -1

View Answer

67ca00ce0c643c71d77dee1f 2016
1483

If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.

A.

7

B.

3

C.

6

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2016
1484

Evaluate (0.8×0.43×0.031)/(0.05×0.72×0.021) . Correct to four significant figures.

A.

14.09

B.

14.1

C.

14.12

D.

14.11

View Answer

67ca00ce0c643c71d77dee1f 2016
1485

Simplify 1 - (1/7 x 3(1/2) ÷ 3/4

A.

2

B.

1/3

C.

1

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2016
1486

Evaluate ∫ (cos4x + sin3x)dx

A.

sin4x - cos3x + k

B.

sin4x + cos3x + k

C.

1/4 sin4x - 1/3cos3x + k

D.

1/4sin4x + 1/3 cos3x + k

View Answer

67ca00ce0c643c71d77dee1f 2016
1487

The bar chart above shows the marks obtained by students in a mathematics test. How many students in all took the test?

A.

40

B.

30

C.

10

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2016
1488

Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.

A.

11.2

B.

10

C.

10.2

D.

11.3

View Answer

67ca00ce0c643c71d77dee1f 2016
1489

If x10 = 235. Find x

A.

15

B.

12

C.

14

D.

13

View Answer

67ca00ce0c643c71d77dee1f 2016
1490

From the table above, find the median

A.

3

B.

5

C.

4

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2016
1491

The venn diagram shows a class of 50 students with the games they play. How many students play only two games?

A.

15

B.

16

C.

20

D.

18

View Answer

67ca00ce0c643c71d77dee1f 2016
1492

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid" columnlines="solid"> <mtr> <mtd> <mi>M</mi> <mi>a</mi> <mi>r</mi> <mi>k</mi> <mi>s</mi> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mi>F</mi> <mi>r</mi> <mi>e</mi> <mi>q</mi> <mi>u</mi> <mi>e</mi> <mi>n</mi> <mi>c</mi> <mi>y</mi> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mi>y</mi> </mtd> </mtr> </mtable> </math>

The table above shows the frequency distribution of marks obtained by a group of students. If the total mark is 48, find the value of y.

A.

6

B.

8

C.

7

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2016
1493

rom the cyclic quadrilateral above, find < TSV

A.

60°

B.

80°

C.

70°

D.

50°

View Answer

67ca00ce0c643c71d77dee1f 2016
1494

OGIVE is constructed using

A.

Third quartile range

B.

Semi-quartile range

C.

Cummulative frequency table

D.

Inter-quartile table

View Answer

67ca00ce0c643c71d77dee1f 2016
1495

The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?

A.

1/2

B.

1/3

C.

2/5

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2015
1496

Simplify [1÷(x2 + 3x + 2)]+[1 ÷ (x2 + 5x + 6)]

A.

2/(x+1)2

B.

2/(x+1)(x+2)

C.

2(x+1)(x+2)

D.

2(x+1)(x+3)

View Answer

67ca00ce0c643c71d77dee1f 2015
1497

The area of an ellipse is 132cm2.The length of its major axis is 14cm.Find the length of it minor axis

A.

10.5cm

B.

5cm

C.

10cm

D.

3cm

View Answer

67ca00ce0c643c71d77dee1f 2015
1498

If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

A.

2, ½

B.

½ , 2

C.

1, ½

D.

0, 2

View Answer

67ca00ce0c643c71d77dee1f 2015
1499

Determine the third term of a geometrical progression whose first and second term are 2 and 54 respectively

A.

1458

B.

1485

C.

1345

D.

1258

View Answer

67ca00ce0c643c71d77dee1f 2015
1500

Simplify 6(1/12) − 2¾ + 1½

A.

3(5/6)

B.

4(5/6)

C.

2(1/6)

D.

1/3

View Answer

67ca00ce0c643c71d77dee1f 2015
1501

Factorize x2 + 9x + 20

A.

(x − 5)2

B.

(x + 5)(x + 4)

C.

(x – 5)(x + 3)

D.

(x + 3)2

View Answer

67ca00ce0c643c71d77dee1f 2015
1502

Find the equation of a line which is form origin and passes through the point (−3, −4)

A.

y = 3x/4

B.

y = 4x/3

C.

y = 2x/3

D.

y = x/2

View Answer

67ca00ce0c643c71d77dee1f 2015
1503

Evaluate log5(y2x5÷125b½)

A.

2 log5y + 5log5 y2 − 3

B.

log5 y2 + 5log5 x + 3

C.

25logy 5 + 3

D.

2log5y + 5log5x − ½ log5b −3

View Answer

67ca00ce0c643c71d77dee1f 2015
1504

If an investor invest N450,000 in a certain organization in order to yield X as a return of N25,000. Find the return on an investment of N700,000 by Y in the same organization.

A.

N14,950.50K

B.

N25,150.30K

C.

N15,000.00K

D.

N38,888.90K

View Answer

67ca00ce0c643c71d77dee1f 2015
1505

Simplify 1¼ ÷ (2 ÷ ¼ of 28)

A.

1 (3/8)

B.

2 (3/4)

C.

4 (3/8)

D.

3 (1/5)

View Answer

67ca00ce0c643c71d77dee1f 2015
1506

Find x if 132x = 70 eight .

A.

5

B.

3

C.

6

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2015
1507

Solve x2 − 2x − 3 = 0

A.

x = 2 or 1

B.

x = 3 or -1

C.

x = 1 or 0

D.

x = 1 or 2

View Answer

67ca00ce0c643c71d77dee1f 2015
1508

Given that S and T are sets of real numbers such that S = {x : 0 ≤ x ≤ 5} and T = {x : − 2 < x < 3} Find S ∪ T

A.

−3 < x < ≤3

B.

−2< x < ≤5

C.

2< x < ≥ −5

D.

−1< x ≥ ≤2

View Answer

67ca00ce0c643c71d77dee1f 2015
1509

Find the x and z intercepts of the graph of 3x - z ≤ 9

A.

(3, -9)

B.

(-3, 9)

C.

(-3, -9)

D.

(-3, 0)

View Answer

67ca00ce0c643c71d77dee1f 2015
1510

Simplify (0.09)2 and give your answer correct to 4 significant figures

A.

0.81

B.

0.081

C.

0.0081

D.

8.0001

View Answer

67ca00ce0c643c71d77dee1f 2015
1511

The area of a circle of radius 4cm is equal to (Take π = 3.142 )

A.

10.3 cm2

B.

15.7 cm2

C.

50.3 cm2

D.

17.4 cm2

View Answer

67ca00ce0c643c71d77dee1f 2015
1512

A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?

A.

N410,000

B.

N365, 217

C.

N157, 250

D.

N257,000

View Answer

67ca00ce0c643c71d77dee1f 2015
1513

X and Y are two sets such that n(X) = 15, n(Y) = 12 and n{X ∩ Y} = 7. Find ∩{X ∪ Y}

A.

21

B.

22.5

C.

15

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2015
1514

Factorize x2 −2x−15

A.

(x + 3)2

B.

(x + 5)(x − 3)

C.

(x − 5)2

D.

(x − 5)(x + 3)

View Answer

67ca00ce0c643c71d77dee1f 2015
1515

Find the value of x if [1÷64(x+2)] = [4(x−3) ÷16x]

A.

3/2

B.

2/3

C.

1/3

D.

-3/2

View Answer

67ca00ce0c643c71d77dee1f 2015
1516

Simplify log10 1.5 + 3 log10 2 − log10 0.3

A.

log104

B.

log1040

C.

log10-40

D.

log104-

View Answer

67ca00ce0c643c71d77dee1f 2015
1517

If x + y = 90 simplify (sinx+siny)2 −2sinxsiny

A.

1

B.

0

C.

2

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2015
1518

The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms

A.

nth = 3

B.

nth = 4

C.

nth = 5

D.

nth = 6

View Answer

67ca00ce0c643c71d77dee1f 2015
1519

Find the total surface area of a cylinder of base radius 5cm and length 7cm ( π = 3.14)

A.

17.8 cm2

B.

15.8 cm2

C.

75.4 cm2

D.

377.0 cm2

View Answer

67ca00ce0c643c71d77dee1f 2015
1520

Find the distance between the points (-2,-3) and (-2,4)

A.

3m

B.

2.4m

C.

3.2m

D.

7.0m

View Answer

67ca00ce0c643c71d77dee1f 2015
1521

In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate

A.

3%

B.

1.0%

C.

2.5%

D.

5.40%

View Answer

67ca00ce0c643c71d77dee1f 2015
1522

The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)

A.

3.13 cm2

B.

145 cm2

C.

314 cm2

D.

214 cm2

View Answer

67ca00ce0c643c71d77dee1f 2015
1523

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mn>1</mn> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </math>

Simplify 1/(x+1) + 1/(x−1)

A.

2x/(x + 1)(x−3)

B.

2x/(x + 1)(x−1)

C.

2x/(x + 1)2

D.

2x(x+1)2

View Answer

67ca00ce0c643c71d77dee1f 2015
1524

Make x the subject of the equation s = 2 + t/5(x + ⅗y)

A.

x = 5[(s − 2) ÷ t] - 3/5y

B.

x = 25[(s − 2) ÷ t] − 3ty

C.

x = [1 ÷ (s − 2)3ty]

D.

x = [5(s − 2) 2 ÷ 3ty] × t

View Answer

67ca00ce0c643c71d77dee1f 2015
1525

One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue

A.

2/15

B.

3/24

C.

3/21

D.

3/28

View Answer

67ca00ce0c643c71d77dee1f 2015
1526

The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both

A.

2/15

B.

3/4

C.

9/15

D.

1/15

View Answer

67ca00ce0c643c71d77dee1f 2015
1527

The volume of a cone (s) of height 6cm and base radius 5cm is

A.

157 cm3

B.

155 cm3

C.

175 cm3

D.

145 cm3

View Answer

67ca00ce0c643c71d77dee1f 2015
1528

The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

A.

2

B.

1

C.

0

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2015
1529

The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100)n . Find A, if P = 126, r = 4 and n = 2.

A.

N132.50K

B.

N136.30K

C.

N125.40K

D.

N257.42K

View Answer

67ca00ce0c643c71d77dee1f 2015
1530

A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much income tax expenses does he pay each year?

A.

15

B.

50

C.

70

D.

25

View Answer

67ca00ce0c643c71d77dee1f 2015
1531

Given that A = {1, 5, 7} B = {3, 9, 12, 15} C = {2, 4, 6, 8} Find (A ∪ B) ∪ C

A.

{1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}

B.

{1, 2, 3, 5, 6, 8, 12, 15}

C.

{2, 4, 5, 9, 12, 15}

D.

{1, 5, 6, 7, 8, 9, 12, 15}

View Answer

67ca00ce0c643c71d77dee1f 2015
1532

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid none" columnlines="solid"> <mtr> <mtd> <mn>6</mn> </mtd> <mtd> <mn>159</mn> </mtd> </mtr> <mtr> <mtd> <mn>6</mn> </mtd> <mtd> <mn>26</mn> <mtext>&#xA0;rem 3</mtext> </mtd> </mtr> <mtr> <mtd> <mn>6</mn> </mtd> <mtd> <mn>4</mn> <mtext>&#xA0;rem 2</mtext> </mtd> </mtr> <mtr> <mtd /> <mtd> <mn>0</mn> <mtext>&#xA0;rem 4</mtext> </mtd> </mtr> </mtable> <mo stretchy="false">&#x2191;<!-- ↑ --></mo> </math>

If (159.75)10 = (x)6. Find x

A.

x6 = 123.346

B.

x6 = 424.56

C.

x66 = 122.436

D.

x6 = 124.4566

View Answer

67ca00ce0c643c71d77dee1f 2015
1533

Given that A = {3, 4, 1, 10, ⅓ } B = {4, 3,⅓, ⅓, 7}. Find A∩B

A.

{}

B.

{⅓, 1, 2}

C.

{3, 4, ⅓}

D.

{1, 3, ⅓}

View Answer

67ca00ce0c643c71d77dee1f 2015
1534

A man bought a car for N800 and sold it for N520. Find his loss per cent

A.

15%

B.

25%

C.

35%

D.

10%

View Answer

67ca00ce0c643c71d77dee1f 2015
1535

If three staff of Myschool Limited agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received?

A.

N36,000

B.

N44,000

C.

N40,000

D.

N15,000

View Answer

67ca00ce0c643c71d77dee1f 2015
1536

What is the common ratio of the G.P. (√10 + √5) + (√10 +2√5) +...?

A.

√2

B.

√5

C.

3

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2014
1537

Evaluate ∫sin2xdx

A.

cos 2x + k

B.

1/2cos 2x + k

C.

−1/2 cos 2x + k

D.

-cos 2x + k

View Answer

67ca00ce0c643c71d77dee1f 2014
1538

The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?

A.

1/5

B.

1/2

C.

2/5

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2014
1539

If ∣∣∣−x−1124∣∣∣=−12 , find x.

A.

-6

B.

-2

C.

3

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2014
1540

y varies directly as w2. When y = 8, w = 2. Find y when w = 3

A.

18

B.

12

C.

9

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2014
1541

P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.

A.

P = Q/12R

B.

P = 12Q/R

C.

P=12QR

D.

P = 12/QR

View Answer

67ca00ce0c643c71d77dee1f 2014
1542

If y = cos 3x, find δy/δx

A.

1/3sin3x

B.

−1/3sin3x

C.

3 sin 3x

D.

-3 sin 3x

View Answer

67ca00ce0c643c71d77dee1f 2014
1543

Find the value of k if y - 1 is a factor of y3 + 4y2 + ky - 6

A.

-6

B.

-4

C.

O

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2014
1544

The mean of 2 - t, 4 + t, 3 - 2t, 2 + t and t - 1 is

A.

t

B.

-t

C.

2

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2014
1545

From the venn diagram above, the shaded parts represent

A.

(P∩Q)∪(P∩R)

B.

(P∪Q)∩(P∩R)

C.

(P∪Q)∪(P∪R)

D.

(P∩Q)∪(P∪R)

View Answer

67ca00ce0c643c71d77dee1f 2014
1546

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mi>x</mi> <mn>2</mn> </mfrac> <mo>+</mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> <mo>&#x2264;<!-- ≤ --></mo> <mfrac> <mrow> <mn>5</mn> <mi>x</mi> </mrow> <mn>6</mn> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>7</mn> <mn>12</mn> </mfrac> </math>

Evaluate the inequality x/2+3/4≤ 5x/6 − 7/12

A.

x≥4

B.

x≤3

C.

x≥−3

D.

x≤−4

View Answer

67ca00ce0c643c71d77dee1f 2014
1547

The pie chart above shows the monthly distribution of a man's salary on food items. If he spent N8,000 on rice, how much did he spent on yam?

A.

N42,000

B.

N18,000

C.

N16,000

D.

N12,000

View Answer

67ca00ce0c643c71d77dee1f 2014
1548

If log7.5 = 0.8751, evaluate 2 log75 + log750

A.

6.6252

B.

6.6253

C.

66.252

D.

66.253

View Answer

67ca00ce0c643c71d77dee1f 2014
1549

in the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?

A.

y = x + 5

B.

y = -x + 5

C.

y = x - 5

D.

y = -x - 5

View Answer

67ca00ce0c643c71d77dee1f 2014
1550

If P = {1,2,3,4,5} and P ∪ Q = {1,2,3,4,5,6,7}, list the elements in Q

A.

{6}

B.

{7}

C.

{6,7}

D.

{5,6}

View Answer

67ca00ce0c643c71d77dee1f 2014
1551

Evaluate ∫(2x+3)(1/2) δx

A.

1/12(2x+3)6 +k

B.

1/3(2x+3)(1/2) +k

C.

1/3(2x+3)3/2 +k

D.

1/12(2x+3)3/4 +k

View Answer

67ca00ce0c643c71d77dee1f 2014
1552

The locus of a dog tethered to a pole with a rope of 4m is a

A.

semi-circle with diameter 4m

B.

semi-circle with radius 4m

C.

circle with diameter 4m

D.

circle with radius 4m

View Answer

67ca00ce0c643c71d77dee1f 2014
1553

From the figure above, what is the value of p?

A.

135°

B.

90°

C.

60°

D.

45°

View Answer

67ca00ce0c643c71d77dee1f 2014
1554

If sin θ=12/13 , find the value of 1 + cos θ

A.

25/13

B.

18/13

C.

8/13

D.

5/13

View Answer

67ca00ce0c643c71d77dee1f 2014
1555

Find the value of 1101112 + 101002

A.

11010112

B.

10010012

C.

10010112

D.

10011112

View Answer

67ca00ce0c643c71d77dee1f 2014
1556

Solve for x in 8x-2 = 2/25

A.

4

B.

6

C.

8

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2014
1557

What is the solution of x−5/x+3 <−1?

A.

=-3 < x < 1

B.

x < -3 or x > 1

C.

-3 < x < 5

D.

x < -3 or x > 5

View Answer

67ca00ce0c643c71d77dee1f 2014
1558

Calculate the mid point of the line segment y - 4x + 3 = 0, which lies between the x-axis and y-axis.

A.

B.

C.

D.

View Answer

67ca00ce0c643c71d77dee1f 2014
1559

In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54o and angle MKN is 35°, calculate the size of angle KMN.

A.

91°

B.

89°

C.

37°

D.

19°

View Answer

67ca00ce0c643c71d77dee1f 2014
1560

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>2</mn> <msqrt> <mn>2</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>3</mn> </msqrt> </mrow> <mrow> <msqrt> <mn>2</mn> </msqrt> <mo>+</mo> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> </math>

Simplify (2√2-√3)/(√2+√3)

A.

3√6-7

B.

3√6-+7

C.

3√6-1

D.

3√6+1

View Answer

67ca00ce0c643c71d77dee1f 2014
1561

A binary operation * is defined by x * y = xy. If x * 2 = 12 - x, find the possible values of x

A.

3,4

B.

3,-4

C.

-3,4

D.

-3,-4

View Answer

67ca00ce0c643c71d77dee1f 2014
1562

A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?

A.

N40,500

B.

N45,000

C.

N52,500

D.

N62,000

View Answer

67ca00ce0c643c71d77dee1f 2014
1563

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.

A.

89

B.

75

C.

73

D.

69

View Answer

67ca00ce0c643c71d77dee1f 2014
1564

Find the value of ∣∣∣∣010375284∣∣∣∣ .

A.

12

B.

10

C.

-1

D.

-2

View Answer

67ca00ce0c643c71d77dee1f 2014
1565

Express the product of 0.00043 and 2000 in standard form.

A.

8.6 x 10-3

B.

8.3 x 10-2

C.

8.6 x 10-1

D.

8.6 x 10

View Answer

67ca00ce0c643c71d77dee1f 2014
1566

A cylindrical tank has a capacity of 6160m3. What is the depth of the tank if the radius of its base is 28cm?

A.

8.0m

B.

7.5m

C.

5.0m

D.

2.5m

View Answer

67ca00ce0c643c71d77dee1f 2014
1567

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid none none none none solid" columnlines="solid"> <mtr> <mtd> <mi>x</mi> </mtd> <mtd> <mi>d</mi> <mo>=</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> </mtd> <mtd> <msup> <mi>d</mi> <mn>2</mn> </msup> </mtd> </mtr> <mtr> <mtd> <mn>5</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mn>4</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>3</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd /> <mtd /> <mtd> <mo>&#x2211;<!-- ∑ --></mo> <msup> <mi>d</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>10</mn> </mtd> </mtr> </mtable> </math>

Find the standard deviation of 5, 4, 3, 2, 1

A.

√2

B.

√3

C.

√6

D.

√10

View Answer

67ca00ce0c643c71d77dee1f 2014
1568

Evaluate Log2 8 + Log2 16 - Log2 4

A.

3

B.

4

C.

5

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2014
1569

Find the mode of the distribution above

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2014
1570

Find the minimum value of y = x2 - 2x - 3

A.

4

B.

1

C.

-1

D.

-4

View Answer

67ca00ce0c643c71d77dee1f 2014
1571

Evaluate 1.25×0.025/0.05 , correct to 1 decimal place

A.

0.6

B.

6.2

C.

6.3

D.

0.5

View Answer

67ca00ce0c643c71d77dee1f 2013
1572

3 girls share a number of apples in the ration 5:3:2. If the highest share is 40 apples, find the smallest share

A.

36

B.

24

C.

16

D.

38

View Answer

67ca00ce0c643c71d77dee1f 2013
1573

Solve for x: |x - 2| < 3

A.

x < 5

B.

-2 < x < 3

C.

-1 < x < 5

D.

x < 1

View Answer

67ca00ce0c643c71d77dee1f 2013
1574

Convert 2710 to another number in base three

A.

10013

B.

10103

C.

11003

D.

10003

View Answer

67ca00ce0c643c71d77dee1f 2013
1575

If a binary operation * is defined by x * y = x + 2y, find 2 * (3 * 4)

A.

24

B.

16

C.

14

D.

26

View Answer

67ca00ce0c643c71d77dee1f 2013
1576

The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16 and 18, find the mode.

A.

6

B.

8

C.

14

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2013
1577

The radius of a circle is increasing at the rate of 0.02cms-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.

A.

0.75cm2S-1

B.

0.53cm2,S-1

C.

0.35cm2S-1

D.

0.88cm2S-1

View Answer

67ca00ce0c643c71d77dee1f 2013
1578

A chord of a circle subtends an angle of 120° at the centre of a circle of diameter 4√3cm . Calculate the area of the major sector.

A.

32πcm2

B.

4π cm2

C.

8π cm2

D.

16π cm2

View Answer

67ca00ce0c643c71d77dee1f 2013
1579

In how many ways can a student select 2 subjects from 5 subjects?

A.

5!/3!

B.

5!/2!2!

C.

5!/2!3!

D.

5!/2!

View Answer

67ca00ce0c643c71d77dee1f 2013
1580

The locus of the points which is equidistant from the line PQ forms a

A.

perpendicular line to PQ

B.

circle centre P

C.

circle centre Q

D.

pair of parallel lines to PQ

View Answer

67ca00ce0c643c71d77dee1f 2013
1581

The pie chart above shows the statistical distribution of 80 students in five subjects in an examination. Calculate how many student offer Mathematics.

A.

30

B.

11

C.

50

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2013
1582

If tanθ=3/4, find the value of sinθ + cosθ .

A.

1(1/3)

B.

1(2/3)

C.

1(3/5)

D.

1(2/5)

View Answer

67ca00ce0c643c71d77dee1f 2013
1583

If log10 4 = 0.6021, evaluate log10 41/3

A.

0.3011

B.

0.9021

C.

1.8063

D.

0.2007

View Answer

67ca00ce0c643c71d77dee1f 2013
1584

Evaluate 3(x + 2) > 6(x + 3)

A.

x < 4

B.

x > -4

C.

x < -4

D.

x > 4

View Answer

67ca00ce0c643c71d77dee1f 2013
1585

The table above shows the scores of 20 students in further mathematics test. What is the range of the distribution?

A.

7

B.

6

C.

3

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2013
1586

The remainder when 6p3 - p2 - 47p + 30 is divided by p - 3 is

A.

21

B.

42

C.

63

D.

18

View Answer

67ca00ce0c643c71d77dee1f 2013
1587

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msqrt> <mn>5</mn> </msqrt> <mo stretchy="false">(</mo> <msqrt> <mn>147</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>12</mn> </msqrt> </mrow> <msqrt> <mn>15</mn> </msqrt> </mfrac> </math>

Simplify (√5(√147-√12)/√15

A.

5

B.

1/5

C.

1/9

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2013
1588

If x - 4 is a factor of x2 - x - k, then k is

A.

4

B.

12

C.

20

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2013
1589

If y = x sin x, find δy/δx

A.

sin x - cos x

B.

. cos x - x sin x

C.

cos x + x sin x

D.

sin x + x cos x

View Answer

67ca00ce0c643c71d77dee1f 2013
1590

If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.

A.

66°

B.

12°

C.

30°

D.

42°

View Answer

67ca00ce0c643c71d77dee1f 2013
1591

The graph above is correctly represented by

A.

y = x2 - x - 2

B.

y = x2 - 3x + 2

C.

y = x2 - x - 1

D.

y = x2 + x - 2

View Answer

67ca00ce0c643c71d77dee1f 2013
1592

If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.

A.

(8,6)

B.

(5,6)

C.

(0,4)

D.

(6,5)

View Answer

67ca00ce0c643c71d77dee1f 2013
1593

The bar chart above shows the allotment of time(in minutes) per week for selected subjects in a certain school. What is the total time allocated to the six subjects per week?

A.

460mins

B.

720mins

C.

960mins

D.

200mins

View Answer

67ca00ce0c643c71d77dee1f 2013
1594

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msqrt> <msup> <mi>t</mi> <mn>2</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mi>t</mi> <mo>+</mo> <mn>4</mn> </msqrt> </math>

If S = √(t2-4t+4), find t in terms of s

A.

S2 - 2

B.

S + 2

C.

S - 2

D.

S2 + 2

View Answer

67ca00ce0c643c71d77dee1f 2013
1595

P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = 8/5

A.

12(8/5)

B.

15

C.

10

D.

28(8/5)

View Answer

67ca00ce0c643c71d77dee1f 2013
1596

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> <mi>n</mi> </mrow> </msup> <msup> <mn>9</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mi>n</mi> </mrow> </msup> </mfrac> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> </math>

Simplify 3(-5n)/9(1-n) ×〖27(n+1)

A.

32

B.

33

C.

35

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2013
1597

The value x in the figure given is

A.

110°

B.

100°

C.

70°

D.

130°

View Answer

67ca00ce0c643c71d77dee1f 2013
1598

P, Q and R are subsets of the universal set U. The Venn diagram showing the relationship (P∩Q)∪R is

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2013
1599

Calculate the median age of the frequency distribution in the table above

A.

25

B.

30

C.

35

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2013
1600

What is the probability that an integer x (1≤x≤25) chosen at random is divisible by both 2 and 3?

A.

1/25

B.

1/5

C.

4/25

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2013
1601

In how many ways can 3 seats be occupied if 5 people are willing to sit?

A.

60

B.

20

C.

5

D.

120

View Answer

67ca00ce0c643c71d77dee1f 2013
1602

If r varies inversely as the square root of s and t, how does s vary with r and t?

A.

s varies inversely as r and t2

B.

s varies inverely as r2 and t

C.

s varies directly as r2 and t2

D.

s varies directly as r and t

View Answer

67ca00ce0c643c71d77dee1f 2013
1603

If y = (2x + 2)3, find δy/δx

A.

3(2x +2)2

B.

6(2x +2)

C.

3(2x +2)

D.

. 6(2x +2)2

View Answer

67ca00ce0c643c71d77dee1f 2013
1604

Find the mean of t + 2, 2t - 4, 3t + 2 and 2t.

A.

t + 1

B.

2t

C.

2t + 1

D.

t

View Answer

67ca00ce0c643c71d77dee1f 2013
1605

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>2</mn> </mfrac> </mrow> </msubsup> <mi>sin</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>x</mi> </math>

0 (π/2)〖sin⁡xdx〗

A.

-2

B.

2

C.

1

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2013
1606

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>1</mn> <mo>+</mo> <mi>x</mi> </mrow> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>x</mi> </math>

Integrate 1+x/x3dx

A.

2x2−(1/x) + k

B.

−1/2x2 −1/x + k

C.

−x2/2 − (1/x) + k

D.

x2 − (1/x) + k

View Answer

67ca00ce0c643c71d77dee1f 2013
1607

Calculate the time taken for N3000 to earn N600 if invested at 8% simple interest

A.

2(1/2) years

B.

3 years

C.

3(1/2) years

D.

1(1/2) years

View Answer

67ca00ce0c643c71d77dee1f 2013
1608

Evaluate ∫π/4, 0sec2θdθ

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2012
1609

The binary operation * is defined on the set of integers such that p * q = pq + p - q. Find 2 * (3 * 4)

A.

11

B.

13

C.

15

D.

22

View Answer

67ca00ce0c643c71d77dee1f 2012
1610

The bar chart above shows the distribution of marks in a class test. If the pass mark is 5, what percentage of students failed the test?

A.

10%

B.

20%

C.

50%

D.

60%

View Answer

67ca00ce0c643c71d77dee1f 2012
1611

The grades of 36 students in a class test are as shown in the pie chart above. How many students have excellent?

A.

12

B.

9

C.

8

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2012
1612

A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

A.

30π cm2

B.

60π cm2

C.

120π cm2

D.

150π cm2

View Answer

67ca00ce0c643c71d77dee1f 2012
1613

Solve for x and y in the equations below x2 - y2 = 4 x + y = 2

A.

x = 0, y = -2

B.

x = 0, y = 2

C.

x = 2, y = 0

D.

x = -2, y = 0

View Answer

67ca00ce0c643c71d77dee1f 2012
1614

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> <mi>y</mi> <mo>+</mo> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> <mo>&lt;</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>y</mi> <mo>+</mo> <mfrac> <mn>2</mn> <mn>5</mn> </mfrac> </math>

The value of y for which 1/5y + 1/5 < 1/2y + 2/5 is

A.

y > 2/3

B.

y < 2/3

C.

y > −2/3

D.

y < −2/3

View Answer

67ca00ce0c643c71d77dee1f 2012
1615

If y = x2 - 1/x, find δy/δx

A.

2x - 1/x2

B.

2x + x2

C.

2x - x2

D.

2x + 1x2

View Answer

67ca00ce0c643c71d77dee1f 2012
1616

If log3 x2 = -8, what is x?

A.

1/3

B.

1/9

C.

1/27

D.

1/81

View Answer

67ca00ce0c643c71d77dee1f 2012
1617

Evaluate ∫2 1 (x2 −4x)dx

A.

11/3

B.

3/11

C.

-3/11

D.

-11/3

View Answer

67ca00ce0c643c71d77dee1f 2012
1618

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

A.

24°

B.

30°

C.

33°

D.

36°

View Answer

67ca00ce0c643c71d77dee1f 2012
1619

In diagram above, QR//TU, < PQR = 80° and < PSU = 95°. Calculate < SUT.

A.

15°

B.

25°

C.

30°

D.

80°

View Answer

67ca00ce0c643c71d77dee1f 2012
1620

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2012
1621

If angle θ is 135°, evaluate cosθ

A.

1/2

B.

√2/2

C.

−√2/2

D.

−1/2

View Answer

67ca00ce0c643c71d77dee1f 2012
1622

If y varies directly as √n and y = 4 when n = 4, find y when n = 1(7/9)

A.

√17

B.

4/3

C.

8/3

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2012
1623

Make 'n' the subject of the formula if w = v(2+cn)/(1−cn)

A.

1/c(w−2/vv+w)

B.

1/c(w−2/vv−w)

C.

1/c(w+2/vv−w)

D.

1/c(w+2/vv+w)

View Answer

67ca00ce0c643c71d77dee1f 2012
1624

Find the remainder when 2x3 - 11x2 + 8x - 1 is divided by x + 3

A.

-871

B.

-781

C.

-187

D.

-178

View Answer

67ca00ce0c643c71d77dee1f 2012
1625

Find dy/dx if y = cosx .

A.

sinx

B.

−sinx

C.

tanx

D.

−tanx

View Answer

67ca00ce0c643c71d77dee1f 2012
1626

Find the area of the trapezium above.

A.

91 cm2

B.

78 cm2

C.

60 cm2

D.

19 cm2

View Answer

67ca00ce0c643c71d77dee1f 2012
1627

The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is

A.

1/2

B.

2/5

C.

-4/7

D.

-2/3

View Answer

67ca00ce0c643c71d77dee1f 2012
1628

A man stands on a tree 150 cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

A.

52 cm

B.

43 cm

C.

40 cm

D.

15 cm

View Answer

67ca00ce0c643c71d77dee1f 2012
1629

The nth term of a sequence is n2 - 6n - 4. Find the sum of the 3rd and 4th terms

A.

24

B.

23

C.

-24

D.

-25

View Answer

67ca00ce0c643c71d77dee1f 2012
1630

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>2</mn> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mn>1</mn> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow> <mn>4</mn> <mfrac> <mn>4</mn> <mn>5</mn> </mfrac> </mrow> </mfrac> </math>

Simply {2(2/3)×1(1/2)}/4(4/5)

A.

1(1/4)

B.

1(1/6)

C.

5/6

D.

4/5

View Answer

67ca00ce0c643c71d77dee1f 2012
1631

Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.

A.

3.92cm3

B.

2.13cm3

C.

1.97cm3

D.

1.62cm3

View Answer

67ca00ce0c643c71d77dee1f 2012
1632

The binary operation on the set of real numbers is defined by m*n = mn/2 for all m, n ∈ R. If the identity element is 2, find the inverse of -5

A.

−4/5

B.

−2/5

C.

4

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2012
1633

Evaluate n+1Cn-2 If n =15

A.

3630

B.

3360

C.

1120

D.

560

View Answer

67ca00ce0c643c71d77dee1f 2012
1634

The mean of seven numbers is 96. If an eighth number is added, the mean becomes 112. Find the eighth number.

A.

126

B.

180

C.

216

D.

224

View Answer

67ca00ce0c643c71d77dee1f 2012
1635

If ∣∣∣5, x, 3, 2∣∣∣ = ∣∣∣3, 4, 5, 5∣∣∣, find the value of x

A.

3

B.

4

C.

5

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2012
1636

The sum to infinity of a geometric progression is −1/10 and the first term is −1/8 . Find the common ratio of the progression.

A.

−1/5

B.

−1/4

C.

−1/3

D.

−1/2

View Answer

67ca00ce0c643c71d77dee1f 2012
1637

Find the range of 4,9,6,3,2,8,10 and 11

A.

11

B.

9

C.

8

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2012
1638

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P ∩ Q

A.

{3}

B.

{2,3}

C.

{2,3,5}

D.

{1,2}

View Answer

67ca00ce0c643c71d77dee1f 2012
1639

The probability that a student passes a physics test is 2/3. If he takes three physics tests, what is the probability that he passes two of the tests?

A.

2/27

B.

3/27

C.

4/27

D.

5/3

View Answer

67ca00ce0c643c71d77dee1f 2012
1640

The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 - x is

A.

√13

B.

3√2

C.

√26

D.

10√5

View Answer

67ca00ce0c643c71d77dee1f 2012
1641

Find the range of values of m which satisfy (m - 3)(m - 4) < 0

A.

2 < m < 5

B.

-3 < m < 4

C.

3 < m < 4

D.

-4 < m < 3

View Answer

67ca00ce0c643c71d77dee1f 2012
1642

The probabilities that a man and his wife live for 80 years are 2/3 and 3/5 respectively. Find the probability that at least one of them will live up to 80 years

A.

2/15

B.

3/15

C.

7/15

D.

13/15

View Answer

67ca00ce0c643c71d77dee1f 2012
1643

If 27x+2 ÷ 9x+1 = 32x, find x.

A.

3

B.

4

C.

5

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2012
1644

In the diagram above, PQR is a circle centre O. If < QPR is x°, find < QRP.

A.

B.

(90 – x)°

C.

(90 + x)°

D.

(180 – x)°

View Answer

67ca00ce0c643c71d77dee1f 2012
1645

Make R the subject of the formula if T = KR2+M/3

A.

√((3T-K)/M)

B.

√((3T-M)/K)

C.

√((3T+K)/M)

D.

√((3T-K)/M)

View Answer

67ca00ce0c643c71d77dee1f 2011
1646

A chord of circle of radius 7cm is 5cm from the centre of the circle.What is the length of the chord?

A.

4√6 cm

B.

3√6 cm

C.

. 6√6 cm

D.

2√6 cm

View Answer

67ca00ce0c643c71d77dee1f 2011
1647

In how many ways can the letters of the word ELATION be arranged?

A.

5!

B.

7!

C.

8!

D.

6!

View Answer

67ca00ce0c643c71d77dee1f 2011
1648

A solid metal cube of side 3 cm is placed in a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank now hold

A.

48 cm3

B.

33 cm3

C.

60 cm3

D.

27 cm3

View Answer

67ca00ce0c643c71d77dee1f 2011
1649

Factorize completely 9y2 - 16X2

A.

(3y - 2x)(3y + 4x)

B.

(3y + 4x)(3y + 4x)

C.

(3y + 2x)(3y - 4x)

D.

(3y - 4x)(3y + 4x)

View Answer

67ca00ce0c643c71d77dee1f 2011
1650

The perpendicular bisector of a line XY is the locus of a point

A.

whose distance from X is always twice its distance from Y

B.

whose distance from Y is always twice its distance from X.

C.

which moves on the line XY

D.

which is equidistant from the points X and Y

View Answer

67ca00ce0c643c71d77dee1f 2011
1651

Find the probability that a number picked at random from the set(43, 44, 45, ..., 60) is a prime number.

A.

2/3

B.

1/3

C.

2/9

D.

7/9

View Answer

67ca00ce0c643c71d77dee1f 2011
1652

Raial has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have?

A.

49

B.

170

C.

21

D.

210

View Answer

67ca00ce0c643c71d77dee1f 2011
1653

The sum of four consecutive integers is 34. Find the least of these numbers

A.

7

B.

6

C.

8

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2011
1654

Evaluate ∫10(3 - 2x)dx

A.

33m

B.

5

C.

2

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2011
1655

The pie chart shows the distribution of courses offered by students. What percentage of the students offer English?

A.

30%

B.

25%

C.

35%

D.

20%

View Answer

67ca00ce0c643c71d77dee1f 2011
1656

T varies inversely as the cube of R. When R = 3, T = 2/81 , find T when R = 2

A.

1/18

B.

1/12

C.

1/24

D.

1/6

View Answer

67ca00ce0c643c71d77dee1f 2011
1657

In how many ways can five people sit round a circular table?

A.

24

B.

60

C.

12

D.

120

View Answer

67ca00ce0c643c71d77dee1f 2011
1658

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msqrt> <mn>2</mn> </msqrt> <mo>+</mo> <mfrac> <mn>1</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <msqrt> <mn>2</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> </math>

Simplify √2+1/√3)(√2-1/√3

A.

7/3

B.

5/3

C.

5/2

D.

3/2

View Answer

67ca00ce0c643c71d77dee1f 2011
1659

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>3</mn> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>5</mn> <mn>6</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <mrow> <mfrac> <mn>11</mn> <mn>15</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>27</mn> </mfrac> </mrow> </mfrac> </math>

simolify (3 (2/3) × 5/6 ×2/3)/(11/15 × 3/4 × 2/27)

A.

5(2/3)

B.

30

C.

4(1/2)

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2011
1660

Find the remainder when X3 - 2X2 + 3X - 3 is divided by X2 + 1

A.

2X - 1

B.

X + 3

C.

2X + 1

D.

X - 3

View Answer

67ca00ce0c643c71d77dee1f 2011
1661

Solve the inequality x2 + 2x > 15.

A.

x < -3 or x > 5

B.

-5 < x < 3

C.

x < 3 or x > 5

D.

x > 3 or x < -5

View Answer

67ca00ce0c643c71d77dee1f 2011
1662

Solve the inequality -6(x + 3) ≤ 4(x - 2)

A.

x ≤ 2

B.

x ≥ -1

C.

x ≥ -2

D.

x ≤ -1

View Answer

67ca00ce0c643c71d77dee1f 2011
1663

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo stretchy="false">(</mo> <mfrac> <mn>16</mn> <mn>81</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </msup> <mo>&#x00F7;<!-- ÷ --></mo> <mo stretchy="false">(</mo> <mfrac> <mn>9</mn> <mn>16</mn> </mfrac> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> </math>

Simplify (16/81 )(1/4)÷(9/16 )(-1/2)

A.

2/3

B.

1/2

C.

8/9

D.

1/3

View Answer

67ca00ce0c643c71d77dee1f 2011
1664

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>4</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>3</mn> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </math>

Evaluate ∣∣∣∣42−1231−1−13∣∣∣∣

A.

25

B.

45

C.

15

D.

55

View Answer

67ca00ce0c643c71d77dee1f 2011
1665

The derivatives of (2x + 1)(3x + 1) is

A.

12x + 1

B.

6x + 5

C.

6x + 1

D.

12x + 5

View Answer

67ca00ce0c643c71d77dee1f 2011
1666

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid" columnlines="solid"> <mtr> <mtd> <mi>C</mi> <mi>l</mi> <mi>a</mi> <mi>s</mi> <mi>s</mi> <mi>I</mi> <mi>n</mi> <mi>t</mi> <mi>e</mi> <mi>r</mi> <mi>v</mi> <mi>a</mi> <mi>l</mi> <mi>s</mi> </mtd> <mtd> <mn>0</mn> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mtd> <mtd> <mn>3</mn> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> </mtd> <mtd> <mn>6</mn> <mo>&#x2212;<!-- − --></mo> <mn>8</mn> </mtd> <mtd> <mn>9</mn> <mo>&#x2212;<!-- − --></mo> <mn>11</mn> </mtd> <mtd /> </mtr> <mtr> <mtd> <mi>F</mi> <mi>r</mi> <mi>e</mi> <mi>q</mi> <mi>u</mi> <mi>e</mi> <mi>n</mi> <mi>c</mi> <mi>y</mi> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>5</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd /> </mtr> </mtable> </math>

ClassIntervalsFrequency0−233−526−859−113 Find the mode of the above distribution.

A.

9

B.

8

C.

10

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2011
1667

Rationalize 2−√5/3−√5

A.

1−√5/2

B.

1−√5/4

C.

√5−1/2

D.

1+√5/4

View Answer

67ca00ce0c643c71d77dee1f 2011
1668

Find the probability that a number picked at random from the set {43, 44, 45, - , -, -, 60} is a prime number

A.

2/9

B.

7/9

C.

1/3

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2011
1669

The bar chart above shows the distribution of SS2 students in a school. Find the total number of students

A.

180

B.

135

C.

210

D.

105

View Answer

67ca00ce0c643c71d77dee1f 2011
1670

A man invested N5,000 for 9 months at 4%. What is the simple interest?

A.

N150

B.

N220

C.

N130

D.

N250

View Answer

67ca00ce0c643c71d77dee1f 2011
1671

In a class of 60 students, 30 offers physics and 40 offers chemistry. If a students is picked at random from the class, what is the probability that the student offer both physics and Chemistry?

A.

1/2

B.

1/6

C.

1/4

D.

1/3

View Answer

67ca00ce0c643c71d77dee1f 2011
1672

Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).

A.

5y - 2x -18 = 0

B.

5y + 2x - 18 = 0

C.

5y - 2x + 18 = 0

D.

5y + 2x - 2 = 0

View Answer

67ca00ce0c643c71d77dee1f 2011
1673

A binary operation ⊕ on real numbers is defined by x ⊕ y = xy + x + y for two real numbers x and y. Find the value of 3 ⊕ -2/3 .

A.

- 1/2

B.

1/3

C.

-1

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2011
1674

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" rowspacing="4pt" columnspacing="1em" rowlines="solid" columnlines="solid"> <mtr> <mtd> <mi>N</mi> <mi>o</mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mn>5</mn> </mtd> </mtr> <mtr> <mtd> <mi>F</mi> <mi>r</mi> <mi>e</mi> <mi>q</mi> <mi>u</mi> <mi>e</mi> <mi>n</mi> <mi>c</mi> <mi>y</mi> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>8</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>5</mn> </mtd> </mtr> </mtable> </math>

From the table above, find the median and range of the data respectively.

A.

(8,5)

B.

(3, 5)

C.

(5 , 8)

D.

(5 , 3)

View Answer

67ca00ce0c643c71d77dee1f 2011
1675

If log318 + log33 - log3x = 3, Find x.

A.

1

B.

2

C.

0

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2011
1676

In a right angled triangle, if tan θ = 3/4. What is cosθ - sinθ?

A.

2/3

B.

3/5

C.

1/5

D.

4/5

View Answer

67ca00ce0c643c71d77dee1f 2011
1677

If 2q35 = 778 , find q

A.

2

B.

1

C.

4

D.

0

View Answer

67ca00ce0c643c71d77dee1f 2011
1678

Find ∫ cos4 x dx

A.

3/4 sin 4x + k

B.

-1/4 sin 4x + k

C.

-3/4 sin 4x + k

D.

1/4 sin 4x + k

View Answer

67ca00ce0c643c71d77dee1f 2011
1679

In how many was can the letters of the word ELATION be arranged?

A.

6!

B.

7!

C.

5!

D.

8!

View Answer

67ca00ce0c643c71d77dee1f 2011
1680

Find the sum of the first 18 terms of the series 3, 6, 9,..., 36.

A.

505

B.

513

C.

433

D.

635

View Answer

67ca00ce0c643c71d77dee1f 2011
1681

The seconds term of a geometric series is 4 while the fourth term is 16. Find the sum of the first five terms

A.

60

B.

62

C.

54

D.

64

View Answer

67ca00ce0c643c71d77dee1f 2011
1682

If the numbers M, N, Q are in the ratio 5:4:3, find the value of 2N−Q/M

A.

2

B.

3

C.

1

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2011
1683

From the venn diagram above, the complement of the set P∩ Q is given by

A.

{a, b, d, e}

B.

{b, d}

C.

{a, e}

D.

{c}

View Answer

67ca00ce0c643c71d77dee1f 2011
1684

A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z. Find the bearing of X from Z.

A.

195°

B.

135°

C.

225°

D.

045°

View Answer

67ca00ce0c643c71d77dee1f 2011
1685

Solve for x and y if x - y = 2 and x2 - y2 = 8

A.

(-1, 3)

B.

(3, 1)

C.

(-3, 1)

D.

(1, 3)

View Answer

67ca00ce0c643c71d77dee1f 2010
1686

If ∣∣∣x237∣∣∣ = 15, find the value of x

A.

3

B.

4

C.

5

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2010
1687

If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64

A.

12

B.

6

C.

3

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2010
1688

Find the standard deviation of 2, 3, 5 and 6

A.

√6

B.

√10

C.

√2/5

D.

√5/2

View Answer

67ca00ce0c643c71d77dee1f 2010
1689

If the area of ΔPQR above is 12√3 cm2, find the value of q?

A.

6 cm

B.

7 cm

C.

8 cm

D.

5 cm

View Answer

67ca00ce0c643c71d77dee1f 2010
1690

Evaluate []

A.

5y - 2x -18 = 0

B.

102

C.

-102

D.

-42

View Answer

67ca00ce0c643c71d77dee1f 2010
1691

If 9x2 + 6xy + 4y2 is a factor of 27x3 - 8y3 , find the other factor.

A.

2y + 3x

B.

2y - 3x

C.

3x + 2y

D.

3x - 2y

View Answer

67ca00ce0c643c71d77dee1f 2010
1692

If y = (2x + 1)3 find dy/dx

A.

3(2x+1)2

B.

6(2x+1)

C.

3(2x+1)

D.

6(2x+1)2

View Answer

67ca00ce0c643c71d77dee1f 2010
1693

A student measures a piece of rope and found that it was 1.26m long. If the actual length of the rope was 1.25m, what was the percentage error in the measurement?

A.

0.25%

B.

0.01%

C.

0.80%

D.

0.40%

View Answer

67ca00ce0c643c71d77dee1f 2010
1694

What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?

A.

y = -χ + 6

B.

y = -χ - 6

C.

y = χ + 6

D.

y = χ - 6

View Answer

67ca00ce0c643c71d77dee1f 2010
1695

Evaluate ∫20(x3+x2)dx.

A.

4(5/6)

B.

6(2/3)

C.

1(5/6)

D.

2(5/6)

View Answer

67ca00ce0c643c71d77dee1f 2010
1696

Find the distance between the points (1/2, 1/2) and (-1/2, -1/2).

A.

1

B.

0

C.

√3

D.

√2

View Answer

67ca00ce0c643c71d77dee1f 2010
1697

If three unbiased coins are tossed, find the probability that they are all heads

A.

1/2

B.

1/3

C.

1/9

D.

1/8

View Answer

67ca00ce0c643c71d77dee1f 2010
1698

If p and q are two non zero numbers and 18(p+q) = (18+p)q, which of the following must be true?

A.

q = 18

B.

p <1

C.

p = 18

D.

q < 1

View Answer

67ca00ce0c643c71d77dee1f 2010
1699

Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....

A.

5/8

B.

5/7

C.

5/11

D.

5/9

View Answer

67ca00ce0c643c71d77dee1f 2010
1700

If cotθ = 8/15, where θ is acute, find sinθ

A.

8/17

B.

15/17

C.

16/17

D.

13/17

View Answer

67ca00ce0c643c71d77dee1f 2010
1701

from the table above, if the pass mark is 5, how many students failed the test?

A.

6

B.

2

C.

7

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2010
1702

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>2</mn> <msqrt> <mn>3</mn> </msqrt> <mo>+</mo> <msqrt> <mn>5</mn> </msqrt> </mrow> <mrow> <msqrt> <mn>5</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> </math>

Rationalize (2√3 + √5)/(√5 - √3)

A.

(3 √ 15 +11) / 2

B.

3 √ 15 -11

C.

(3 √ 15 -11) / 2

D.

3 √ 15 +11

View Answer

67ca00ce0c643c71d77dee1f 2010
1703

Make Q the subject of formula if p = M/5(X + Q) + 1

A.

5P−MX+5/M

B.

5P−MX−5/M

C.

5P+MX+5/M

D.

÷(5P+MX-5)/M

View Answer

67ca00ce0c643c71d77dee1f 2010
1704

The table above show the marks obtained in a given test. Find the mean mark

A.

3.1

B.

3.0

C.

3.2

D.

3.3

View Answer

67ca00ce0c643c71d77dee1f 2010
1705

Find the gradient of the line passing through the points P(1, 1) and Q(2, 5).

A.

3

B.

2

C.

5

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2010
1706

For what range of values of x is 1/2x + 1/4 > 1/3x + 1/2?

A.

x < 3/2

B.

x > 3/2

C.

x < -3/2

D.

x > -3/2

View Answer

67ca00ce0c643c71d77dee1f 2010
1707

If p : q = 2/3 : 5/6 and q : r = 3/4 : 1/2, find p : q : r

A.

12 : 15 : 10

B.

12 : 15 : 16

C.

10 : 15 : 24

D.

9 : 10 : 15

View Answer

67ca00ce0c643c71d77dee1f 2010
1708

From the diagram above, find x

A.

65°

B.

50°

C.

75°

D.

55°

View Answer

67ca00ce0c643c71d77dee1f 2010
1709

Simplify (3/4 of 4/9 ÷ 9(1/2) ÷ 1(5/19)

A.

1/2

B.

1/4

C.

1/36

D.

1/25

View Answer

67ca00ce0c643c71d77dee1f 2010
1710

The interior angles of a quadrilateral are (x + 15)°, (2x - 45)°, ( x - 30)° and (x + 10)°. Find the value of the least interior angle.

A.

112°

B.

102°

C.

82°

D.

52°

View Answer

67ca00ce0c643c71d77dee1f 2010
1711

Find r, if 6r78 = 5119

A.

3

B.

2

C.

6

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2010
1712

If x * y = x + y2, find then value of (2*3)*5

A.

36

B.

25

C.

11

D.

55

View Answer

67ca00ce0c643c71d77dee1f 2010
1713

If two smaller sides of a right angled triangle are 4cm and 5cm, find its area

A.

10 cm2

B.

6 cm2

C.

24 cm2

D.

8 cm2

View Answer

67ca00ce0c643c71d77dee1f 2010
1714

If x is inversely proportional to y and x = 2(1/2) when y = 2, find x if y = 4

A.

4

B.

5

C.

1(1/4)

D.

2(1/4)

View Answer

67ca00ce0c643c71d77dee1f 2010
1715

In a survey of 50 newspaper readers, 40 read Champion and 30 read Guardian, how many read both papers?

A.

10

B.

5

C.

15

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2010
1716

At what rate will the interest on N400 increases to N24 in 3 years reckoning in simple interest?

A.

3%

B.

2%

C.

5%

D.

4%

View Answer

67ca00ce0c643c71d77dee1f 2010
1717

Express the product of 0.21 and 0.34 in standard form

A.

7.14 x 10-3

B.

7.14 x 10-2

C.

7.14 x 10-1

D.

7.14 x 10sup>-4

View Answer

67ca00ce0c643c71d77dee1f 2010
1718

A cylindrical pipe 50m long with radius 7m has one end open. What is the total surface area of the pipe?

A.

749πm2

B.

700πm2

C.

350πm2

D.

98πm2

View Answer

67ca00ce0c643c71d77dee1f 2010
1719

Solve the inequalities -6 ≤ 4 - 2x < 5 - x

A.

-1 < x < 5

B.

-1 < x ≤ 5

C.

-1 ≤ x ≤ 6

D.

-1 ≤ x < 6

View Answer

67ca00ce0c643c71d77dee1f 2010
1720

W is directly proportional to U. If W = 5 when U = 3, find U when W = 2/7

A.

6/35

B.

10/21

C.

21/10

D.

35/6

View Answer

67ca00ce0c643c71d77dee1f 2010
1721

Find the equation of a line parallel to y = -4x + 2 passing through (2,3)

A.

y + 4x + 11 = 0

B.

y - 4x - 11 = 0

C.

y + 4x - 11 = 0

D.

y - 4x + 11 = 0

View Answer

67ca00ce0c643c71d77dee1f 2010
1722

An arc subtends an angle of 50o at the center of circle of radius 6cm. Calculate the area of the sector formed

A.

100/7

B.

80/7

C.

110/7

D.

90/7

View Answer

67ca00ce0c643c71d77dee1f 2010
1723

From the cyclic quadrilateral TUVW above, find the value of x

A.

26°

B.

24°

C.

20°

D.

23°

View Answer

67ca00ce0c643c71d77dee1f 2010
1724

Determine the value of x for which (x2 - 1)>0

A.

x < -1 or x > 1

B.

-1 < x < 1

C.

x > 0

D.

x < -1

View Answer

67ca00ce0c643c71d77dee1f 2010
1725

A chord drawn 5 cm away from the center of a circle of radius 13 cm. Calculate the length of the chord?

A.

7cm

B.

9cm

C.

12cm

D.

24cm

View Answer

67ca00ce0c643c71d77dee1f 2009
1726

Evaluate ∫sec2θ dθ?

A.

sec θ tan θ + k

B.

tan θ + k

C.

2sec θ + k

D.

sec θ + k

View Answer

67ca00ce0c643c71d77dee1f 2009
1727

What is the locus of the mid-point of all the chords of length 6cm with circle of radius 5cm and with center O?

A.

A circle of radius 4 cm and the center 0

B.

The perpendicular bisector of the chords

C.

A straight line passing through 0

D.

A circle of radius 6 cm and with center 0

View Answer

67ca00ce0c643c71d77dee1f 2009
1728

What is the value of r if the distance between the point (4,2) and (1,r) is 3 units?

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2009
1729

Which of the following equations represent the graph above?

A.

y = 2+7x+4x2

B.

y = 2-7x+4x2

C.

y = 2+7x-4x2

D.

y = 2-7x-4x2

View Answer

67ca00ce0c643c71d77dee1f 2009
1730

If Q is, [] then |Q| is?

A.

-50

B.

-22

C.

22

D.

50

View Answer

67ca00ce0c643c71d77dee1f 2009
1731

Find the value of sin 45° - cos 30°

A.

(2+√3)/4

B.

(√2+√3)/4

C.

(√3+√3)/2

D.

(√2−√3)/2

View Answer

67ca00ce0c643c71d77dee1f 2009
1732

In how many ways can 9 people be seated if 3 chairs are available?

A.

720

B.

504

C.

336

D.

210

View Answer

67ca00ce0c643c71d77dee1f 2009
1733

The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5?

A.

3/5

B.

2/5

C.

7/20

D.

1/5

View Answer

67ca00ce0c643c71d77dee1f 2009
1734

The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is?

A.

n(3n - 0.5)

B.

n(3n + 2)

C.

n(3n + 2.5)

D.

n(3n + 5)

View Answer

67ca00ce0c643c71d77dee1f 2009
1735

The probability of a student passing any examination is 2/3. If the students takes three examination, what is the probability that he will not pass any of them?

A.

2/3

B.

4/9

C.

8/27

D.

1/27

View Answer

67ca00ce0c643c71d77dee1f 2009
1736

If 55x + 52x = 7710 find X

A.

5

B.

6

C.

7

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2009
1737

The cumulative frequency curve above shows the distribution of the scores of 50 students in an examination. Find the 36th percentile scores?

A.

18%

B.

28%

C.

36%

D.

50%

View Answer

67ca00ce0c643c71d77dee1f 2009
1738

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>5</mn> <mo>+</mo> <msqrt> <mn>7</mn> </msqrt> </mrow> <mrow> <mn>3</mn> <mo>+</mo> <msqrt> <mn>7</mn> </msqrt> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> <mo>+</mo> <msqrt> <mn>7</mn> </msqrt> </mrow> <mrow> <mn>3</mn> <mo>+</mo> <msqrt> <mn>7</mn> </msqrt> </mrow> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mrow> <mn>3</mn> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>7</mn> </msqrt> </mrow> <mrow> <mn>3</mn> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>7</mn> </msqrt> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>5</mn> <mo>+</mo> <msqrt> <mn>7</mn> </msqrt> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>3</mn> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>7</mn> </msqrt> <mo stretchy="false">)</mo> </mrow> <mrow> <msup> <mn>3</mn> <mn>2</mn> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <msqrt> <mn>7</mn> </msqrt> <mn>2</mn> </msup> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>15</mn> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> <msqrt> <mn>7</mn> </msqrt> <mo>+</mo> <mn>3</mn> <msqrt> <mn>7</mn> </msqrt> <mo>&#x2212;<!-- − --></mo> <mn>7</mn> </mrow> <mrow> <mn>9</mn> <mo>&#x2212;<!-- − --></mo> <mn>7</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>8</mn> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <msqrt> <mn>7</mn> </msqrt> </mrow> <mn>2</mn> </mfrac> </math> <math xmlns="http://www.w3.org/1998/Math/MathML"> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <mn>4</mn> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>7</mn> </msqrt> </mrow> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mn>4</mn> <mo>&#x2212;<!-- − --></mo> <msqrt> <mn>7</mn> </msqrt> </math>

Simplify (5+√7)/(3+√7)

A.

17-√7

B.

4-√7

C.

15+√7

D.

7-√7

View Answer

67ca00ce0c643c71d77dee1f 2009
1739

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>81.81</mn> <mo>+</mo> <mn>99.44</mn> </mrow> <mrow> <mn>20.09</mn> <mo>+</mo> <mn>36.16</mn> </mrow> </mfrac> </math>

Evaluate (81.81+99.44)/(20.09+36.16) correct to 3 siginficant figures

A.

6.24

B.

3.22

C.

2.78

D.

2.13

View Answer

67ca00ce0c643c71d77dee1f 2009
1740

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mn>7</mn> <mfrac> <mn>1</mn> <mn>12</mn> </mfrac> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> <mo>+</mo> <mn>2</mn> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </math>

Simplify 7 1/12-4( 3/4+2 1/2

A.

4

B.

4(1/6

C.

4(5/6)

D.

5(1/6)

View Answer

67ca00ce0c643c71d77dee1f 2009
1741

If P = [] evaluate x if |P| = -10

A.

-5

B.

-2

C.

2

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2009
1742

Find the range of values of x for which 3x - 7 ≤ 0 and x + 5 > 0?

A.

-5 < x < 7/3

B.

-5 ≤ x ≤ 7/3

C.

-5 < x ≤ 7/3

D.

-5 ≤ x < 7/3

View Answer

67ca00ce0c643c71d77dee1f 2009
1743

Find the radius of a sphere whose surface area is 154 cm2?

A.

7.00 cm

B.

3.50 cm

C.

3.00 cm

D.

1.75 cm

View Answer

67ca00ce0c643c71d77dee1f 2009
1744

If m * n = n - (m+2) for any real number m and n find the value of 3*(-5)?

A.

-6

B.

-8

C.

-10

D.

-12

View Answer

67ca00ce0c643c71d77dee1f 2009
1745

If the hypotenuse of a right-angled isosceles triangle is 2cm. What is the area of the triangle?

A.

1/√2 cm2

B.

1 cm2

C.

√2 cm2

D.

2√2 cm2

View Answer

67ca00ce0c643c71d77dee1f 2009
1746

A man bought a second-hand photocopying machine for N34,000. He serviced it at a cost of N2,000 and then sold it at a profit of 15%. What was the selling price?

A.

N37,550

B.

N40,400

C.

N41,400

D.

N42,400

View Answer

67ca00ce0c643c71d77dee1f 2009
1747

A regular polygon has 150º as the size of each interior angle. How many sides does it have?

A.

12

B.

10

C.

9

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2009
1748

A polynomial in x whose roots are 4/3 and -3/5 is?

A.

15x2 - 11x – 12

B.

15x2 + 11x – 12

C.

12x2 - x – 12

D.

12x2 + 11x – 15

View Answer

67ca00ce0c643c71d77dee1f 2009
1749

A binary operation ⊗ defined on the set of integers is such that m⊗n = m + n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0?

A.

-5/4

B.

-5/6

C.

0

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2009
1750

Determine the value of x for which (x2 - 1) > 0?

A.

x < -1 or x > 1

B.

-1 < x < 1

C.

x > 0

D.

x < -1

View Answer

67ca00ce0c643c71d77dee1f 2009
1751

Subtract 164189 from 186309.

A.

11219

B.

21129

C.

21139

D.

22119

View Answer

67ca00ce0c643c71d77dee1f 2009
1752

A student spent 1/5 of his allowance on books, 1/2 of remainder on food and kept the rest for contingencies. What fraction was kept?

A.

7/15

B.

8/15

C.

2/5

D.

4/5

View Answer

67ca00ce0c643c71d77dee1f 2009
1753

Find the acute angle between the straight lines y = x and y = √3x

A.

15°

B.

30°

C.

45°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2009
1754

The pie chart above represents 400 fruits on display in a grocery store. How many apples are in the store?

A.

45

B.

50

C.

60

D.

75

View Answer

67ca00ce0c643c71d77dee1f 2009
1755

If s = (2 + 3t)(5t - 4), find ds/dt when t = 4/5 secs

A.

0 units per sec

B.

15 units per sec

C.

22 unit per sec

D.

26 units per sec

View Answer

67ca00ce0c643c71d77dee1f 2009
1756

If y = 3 cos 4x, dy/dx equals?

A.

6 sin 8x

B.

-24 sin 4x

C.

12 sin 4x

D.

-12 sin 4x

View Answer

67ca00ce0c643c71d77dee1f 2009
1757

The distance traveled by a particle from a fixed point is given as s = (t3 - t2 - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point?

A.

2.3 cm

B.

4.0 cm

C.

5.2 cm

D.

6.0 cm

View Answer

67ca00ce0c643c71d77dee1f 2009
1758

In the figure above , TS//XY and XY = TY, ∠STZ = 34°, ∠TXY = 47°, find the angle marked n?

A.

47°

B.

52°

C.

56°

D.

99°

View Answer

67ca00ce0c643c71d77dee1f 2009
1759

What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2

A.

0.5

B.

1.0

C.

1.5

D.

2.0

View Answer

67ca00ce0c643c71d77dee1f 2009
1760

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mn>2</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mn>2</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> </mfrac> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <msqrt> <mn>16</mn> </msqrt> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <msqrt> <mn>4</mn> </msqrt> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mi>s</mi> <mi>q</mi> <mi>r</mi> <mi>t</mi> <mo stretchy="false">[</mo> <mn>3</mn> <mo stretchy="false">]</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>27</mn> </mrow> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>3</mn> <mn>1</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> </math>

simplify 〖16〗((-1)/2) × 4((-1)/2)×〖27〗(1/3)

A.

3/8

B.

2/3

C.

3/4

D.

3/2

View Answer

67ca00ce0c643c71d77dee1f 2008
1761

〖log〗(x1/2)64 = 3, find the value of x

A.

4

B.

16

C.

32

D.

64

View Answer

67ca00ce0c643c71d77dee1f 2008
1762

Find the range of values of x which satisfy the inequalities 4x - 7 ≤ 3x and 3x - 4 ≤ 4x

A.

-4 ≤ x ≤ 7

B.

-7 ≤ x ≤ 4

C.

x ≥ -7

D.

-7 ≤ x ≤ 6

View Answer

67ca00ce0c643c71d77dee1f 2008
1763

A binary operation on the real set of numbers excluding -1 is such that for all m, n ∈ R, mΔn = m+n+mn. Find the identity element of the operation.

A.

1

B.

0

C.

-1/2

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2008
1764

In the diagram above ∠ OPQ is

A.

90°

B.

53°

C.

36°

D.

26°

View Answer

67ca00ce0c643c71d77dee1f 2008
1765

A book seller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books. How many customers has he altogether?

A.

30

B.

40

C.

50

D.

60

View Answer

67ca00ce0c643c71d77dee1f 2008
1766

Differentiate sin x - x cos x

A.

x cos x

B.

x sin x

C.

-x cos x

D.

-x sin x

View Answer

67ca00ce0c643c71d77dee1f 2008
1767

Find the exterior angle of a 12 sided regular polygon

A.

12°

B.

24°

C.

25°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2008
1768

Solve the quadratic inequalities x2 - 5x + 6 ≥ 0

A.

x ≤ 2, x ≥ 3

B.

x ≤ 3, x ≥ 2

C.

x ≤ -2, x ≥ -3

D.

x ≤-3, x ≥ 2

View Answer

67ca00ce0c643c71d77dee1f 2008
1769

Factorize completely; (4x+3y)2 - (3x-2y)2

A.

(x+5y)(7x+y)

B.

(x+5y)(7x-y)

C.

(x-5y)(7x+y)

D.

(x-5y)(7x-y)

View Answer

67ca00ce0c643c71d77dee1f 2008
1770

If (1+√2)/(1-√2) is expressed in the form of x+y√2 find the values of x and y

A.

(-3, -2)

B.

. (-2, 3)

C.

(3,2)

D.

(2,-3)

View Answer

67ca00ce0c643c71d77dee1f 2008
1771

Make Q the subject of formula when L = 4/3 M√PQ

A.

(9L2)/(16M2 P)

B.

3L/(4M√P)

C.

√3L/4MP

D.

(3L2)/(16M2 ) P

View Answer

67ca00ce0c643c71d77dee1f 2008
1772

If 125x = 2010 find x

A.

2

B.

3

C.

4

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2008
1773

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mn>1</mn> <mn>2</mn> </msubsup> <mo stretchy="false">(</mo> <mn>6</mn> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mi>x</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫1 2〖(6x2-2x)dx〗〗

A.

16

B.

13

C.

12

D.

11

View Answer

67ca00ce0c643c71d77dee1f 2008
1774

Find the mean deviation of 2, 4, 5, and 9

A.

1

B.

2

C.

5

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2008
1775

In how many ways can the letters of the word ACCEPTANCE be arranged?

A.

10! / (2!2!3!)

B.

10! / ( 2!3!)

C.

10! / (2!2!)

D.

10!

View Answer

67ca00ce0c643c71d77dee1f 2008
1776

Find the values of x and y respectively if

A.

-3, -2

B.

-5, -3

C.

-2, -5

D.

-3, -5

View Answer

67ca00ce0c643c71d77dee1f 2008
1777

( −2 2 1 3 ) ( p r q s ) = ( 1 0 0 1 ) . What is the value of r?

A.

-1/8

B.

3/8

C.

5/8

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2008
1778

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mi>&#x03C0;<!-- π --></mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>2</mn> </mfrac> </mrow> </msubsup> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mi>x</mi> <mi>d</mi> <mi>x</mi> </math>

((-π)/2)(π/2)cosxdx

A.

0

B.

1

C.

2

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2008
1779

A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20°. How far is the car from the bottom of the tower to the nearest metre?

A.

184 m

B.

185 m

C.

186 m

D.

187 m

View Answer

67ca00ce0c643c71d77dee1f 2008
1780

If x - 3 is directly proportional to the square of y and x = 5 when y =2, find x when y = 6.

A.

30

B.

21

C.

16

D.

12

View Answer

67ca00ce0c643c71d77dee1f 2008
1781

Find the number of ways of selecting 6 out of 10 subjects for an examination

A.

128

B.

216

C.

215

D.

210

View Answer

67ca00ce0c643c71d77dee1f 2008
1782

A trader bought goats for ₦4,000 each. He sold them for ₦18,000 at a loss of . How many goats did he buy?

A.

60

B.

50

C.

45

D.

36

View Answer

67ca00ce0c643c71d77dee1f 2008
1783

The bar chart above shows the number of times the word a, and , in, it, the , to appear in a paragraph in a book. What is the ratio of the least frequent word?

A.

1/4

B.

1/3

C.

2/3

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2008
1784

Express 123456 to 3 significant figures

A.

123000

B.

124000

C.

125000

D.

126000

View Answer

67ca00ce0c643c71d77dee1f 2008
1785

Add 11012 ,101112 and 1112

A.

1110112

B.

1101102

C.

1010112

D.

1010102

View Answer

67ca00ce0c643c71d77dee1f 2008
1786

If X = {n2 + 1:n = 0,2,3} and Y = {n+1:n=2,3,5}, find X∩Y.

A.

{1,3}

B.

{5,10}

C.

0

D.

{4,6}

View Answer

67ca00ce0c643c71d77dee1f 2008
1787

If 2x2 - kx - 12 is divisible by x-4, Find the value of k

A.

4

B.

5

C.

6

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2008
1788

Find the derivative of y=x7 −x7/ x4

A.

x(x2 -1)

B.

3x(x2 -1)

C.

3x2 -1

D.

7x6 -5x4

View Answer

67ca00ce0c643c71d77dee1f 2008
1789

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> <mo>&#x00F7;<!-- ÷ --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>1</mn> <mn>8</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mo>)</mo> </mrow> </mfrac> </math>

Evaluate ((3/8÷1/2+1/2))/((1/8×2/3+1/3))

A.

1/4

B.

1/3

C.

1/2

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2008
1790

In the diagram above, PQ//RS. The size of the angle marked x is?

A.

100°

B.

80°

C.

50°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2008
1791

Find the median of 4, 1, 4, 1, 0, 4, 4, 2 and 0

A.

0

B.

1

C.

2

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2008
1792

calculate the simple interest on N7,500 for 8 years at 5% per annum.

A.

N3,000

B.

N600

C.

N300

D.

N150

View Answer

67ca00ce0c643c71d77dee1f 2008
1793

Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0

A.

3/2

B.

2/3

C.

-2/3

D.

-3/2

View Answer

67ca00ce0c643c71d77dee1f 2008
1794

The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through?

A.

(2,5)

B.

(5,2)

C.

(1,0)

D.

(0,1)

View Answer

67ca00ce0c643c71d77dee1f 2008
1795

Find the area of the figure above [π = 22/7]

A.

12.5 cm2

B.

75.0 cm2

C.

78.5 cm2

D.

84.8 cm2

View Answer

67ca00ce0c643c71d77dee1f 2008
1796

What is the mean of the data t, 2t-1, t-2, 2t-1, 4t and 2t+2?

A.

2t

B.

2t-1

C.

2/3t+1

D.

2t-1/3

View Answer

67ca00ce0c643c71d77dee1f 2008
1797

The graph above is represented by

A.

y = x3 - 3x - 2

B.

y = x3 + 2x2 - x - 2

C.

y = x3 - 4x2 + 5x - 2

D.

y = x3 - 4x + 2

View Answer

67ca00ce0c643c71d77dee1f 2007
1798

In a basket, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random. What is the probability that the fruit is either a grape or a banana

A.

6/30

B.

5/30

C.

17/30

D.

11/30

View Answer

67ca00ce0c643c71d77dee1f 2007
1799

Simplify 3/5÷(2/7×4/3÷4/9)

A.

4/5

B.

7/10

C.

6/6

D.

21/6

View Answer

67ca00ce0c643c71d77dee1f 2007
1800

If x10 = 12145 find x

A.

124

B.

121

C.

184

D.

180

View Answer

67ca00ce0c643c71d77dee1f 2007
1801

Make L the subjects of the formula if d=√(42w/5l)

A.

√(42w/5d)

B.

42W/(5d2 )

C.

42/5dW

D.

1/d √(42w/5)

View Answer

67ca00ce0c643c71d77dee1f 2007
1802

If X = {all the perfect squares less than 40} Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.

A.

{3, 9}

B.

{9}

C.

{9, 25}

D.

{1, 9}

View Answer

67ca00ce0c643c71d77dee1f 2007
1803

Evaluate ((05652)2 - (04375)2)/0.04 correct to three significant figures

A.

3.11

B.

3.13

C.

0.313

D.

3.12

View Answer

67ca00ce0c643c71d77dee1f 2007
1804

Given P = {1, 3, 5, 7, 9, 11} and Q = {2, 4, 6, 8, 10, 12}. Determine the relationship between P and Q

A.

P∩Q = ∅

B.

P ⊂ Q

C.

Q⊂P

D.

P = Q

View Answer

67ca00ce0c643c71d77dee1f 2007
1805

If y = x cos x, find dy/dx

A.

sin x - x cos x

B.

sin x + x cos x

C.

cos x + x sin x

D.

cos x - x sin x

View Answer

67ca00ce0c643c71d77dee1f 2007
1806

Calculate the length of an arc of a circle diameter 14 cm, which subtends an angle of 90° at the center of the circle

A.

7π/2 cm

B.

7π cm

C.

14π cm

D.

7π/4 cm

View Answer

67ca00ce0c643c71d77dee1f 2007
1807

The volume of a hemispherical bowl is 718(2/3) . Find its radius .

A.

4.0 cm

B.

5.6 cm

C.

7.0 cm

D.

3.8 cm

View Answer

67ca00ce0c643c71d77dee1f 2007
1808

The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

A.

27/40

B.

17/20

C.

3/30

D.

33/40

View Answer

67ca00ce0c643c71d77dee1f 2007
1809

The area of a square is 144 sqcm. Find the length of the diagonal.

A.

13 cm

B.

12√2 cm

C.

12 cm

D.

11√3 cm

View Answer

67ca00ce0c643c71d77dee1f 2007
1810

The histogram above represents the weights of students who travelled out to their school for an examination. How many people made the trip?

A.

78

B.

38

C.

29

D.

69

View Answer

67ca00ce0c643c71d77dee1f 2007
1811

A binary operation ⊕ on real numbers is defined by x⊕y = xy + x + y for any two real numbers x and y. The value of (-3/4)⊕6 is

A.

3/4

B.

-9/2

C.

45/4

D.

-3/4

View Answer

67ca00ce0c643c71d77dee1f 2007
1812

A senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?

A.

640

B.

840

C.

520

D.

920

View Answer

67ca00ce0c643c71d77dee1f 2007
1813

Calculate the length of an arc of a circle diameter 14 cm, which substends an angle of 90o at the center of the circle

A.

7π/2 cm

B.

7π cm

C.

14π cm

D.

7π/4 cm

View Answer

67ca00ce0c643c71d77dee1f 2007
1814

A binary operation Δ is defined by aΔb = a + b + 1 for any numbers a and b. Find the inverse of the real number 7 under the operation Δ, if the identity element is -1

A.

-7

B.

-9

C.

5

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2007
1815

SOLUTION:<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>T</mi> <mi>a</mi> <mi>n</mi> <mn>30</mn> <mo>=</mo> <mfrac> <mi>h</mi> <mn>40</mn> </mfrac> <mspace linebreak="newline" /> <mfrac> <mn>1</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mo>=</mo> <mfrac> <mi>h</mi> <mn>40</mn> </mfrac> <mspace linebreak="newline" /> <mi>h</mi> <msqrt> <mn>3</mn> </msqrt> <mo>=</mo> <mn>40</mn> <mspace linebreak="newline" /> <mi>h</mi> <mo>=</mo> <mfrac> <mn>40</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mspace linebreak="newline" /> <mi>h</mi> <mo>=</mo> <mfrac> <mn>40</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <msqrt> <mn>3</mn> </msqrt> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mspace linebreak="newline" /> <mi>h</mi> <mo>=</mo> <mfrac> <mrow> <mn>40</mn> <msqrt> <mn>3</mn> </msqrt> </mrow> <mn>3</mn> </mfrac> </math>

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30°. Determine the height of the tower.

A.

(40√3)/3 m

B.

20 m

C.

40√3 m

D.

40 m

View Answer

67ca00ce0c643c71d77dee1f 2007
1816

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mo data-mjx-texclass="OP">&#x222B;</mo> <mfrac> <mrow> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>&#x2212;</mo> <msqrt> <mi>x</mi> </msqrt> </mrow> <mi>x</mi> </mfrac> <mo>=</mo> <mo data-mjx-texclass="OP">&#x222B;</mo> <mfrac> <msup> <mi>x</mi> <mn>2</mn> </msup> <mi>x</mi> </mfrac> <mo>&#x2212;</mo> <mfrac> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> <mi>x</mi> </mfrac> <mspace linebreak="newline"></mspace> <mo data-mjx-texclass="OP">&#x222B;</mo> <mi>x</mi> <mo>&#x2212;</mo> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mfrac> <mrow> <mo>&#x2212;</mo> <mn>1</mn> </mrow> <mn>2</mn> </mfrac> </mrow> </msup> <mspace linebreak="newline"></mspace> <mo>=</mo> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>&#x2212;</mo> <mfrac> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mfrac> <mo>+</mo> <mi>K</mi> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <msup> <mi>x</mi> <mn>2</mn> </msup> <mn>2</mn> </mfrac> <mo>&#x2212;</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> <mo>+</mo> <mi>K</mi> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <msup> <mi>x</mi> <mn>2</mn> </msup> <mn>2</mn> </mfrac> <mo>&#x2212;</mo> <mn>2</mn> <msqrt> <mi>x</mi> </msqrt> <mo>+</mo> <mi>K</mi> </math>

Integrate (x2-√x)/x with respect to x

A.

x2/2-2√x+K

B.

(2(x2-x))/3x+K

C.

x2/2-√x+K

D.

((x2-x))/3x+K

View Answer

67ca00ce0c643c71d77dee1f 2007
1817

What is the mean deviation of 3, 5, 8, 11, 12 and 21?

A.

4.7

B.

60

C.

3.7

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2007
1818

The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, calculate the value of y

A.

15

B.

13

C.

11

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2007
1819

A man made a profit of 5% when he sold an article for N60,000.00. How much would he have sell the article to make a profit of 26%

A.

N68,000

B.

N72,000

C.

N65,000

D.

N70,000

View Answer

67ca00ce0c643c71d77dee1f 2007
1820

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus of P

A.

It is a semi circle with ST as diameter

B.

It is a perpendicular bisector of St

C.

It is a quadrant of a circle with ST as diameter

D.

It is a straight line perpendicular to ST

View Answer

67ca00ce0c643c71d77dee1f 2007
1821

Find the value of x for which 2(32x-1) = 162

A.

5/2

B.

3/2

C.

2/5

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2007
1822

Find the value of (tan60°-tan30°)/(tan60°+tan 30° )

A.

4/√3

B.

2/√3

C.

1

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2007
1823

Evaluate 101122 - 10122

A.

1100002

B.

1102

C.

11000002

D.

110002

View Answer

67ca00ce0c643c71d77dee1f 2007
1824

In the parallelogram PQRS above, find angle SQR

A.

100°

B.

80°

C.

50°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2007
1825

If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and the median number

A.

36

B.

48

C.

30

D.

40

View Answer

67ca00ce0c643c71d77dee1f 2007
1826

The pie chart above illustrate the amount of private time a student spends in a week studying various subjects. Find the value of k

A.

90°

B.

60°

C.

30°

D.

40°

View Answer

67ca00ce0c643c71d77dee1f 2007
1827

Find the locus of point equidistant from two straight lines y - 5 = 0 and y - 3 = 0

A.

y - 2 = 0

B.

y - 4 = 0

C.

y - 1 = 0

D.

y - 3 = 0

View Answer

67ca00ce0c643c71d77dee1f 2007
1828

If log10 2 = x, express log1012.5 in terms of x

A.

2(1 + x)

B.

2 + 3x

C.

2(1 - x)

D.

2 - 3x

View Answer

67ca00ce0c643c71d77dee1f 2007
1829

If y = (1 + x)2, find dy/dx

A.

x - 1

B.

2 + 2x

C.

1 + 2x

D.

2x - 1

View Answer

67ca00ce0c643c71d77dee1f 2007
1830

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus off P

A.

It is a semi circle with ST as diameter

B.

It is a perpendicular bisector of St

C.

It is a quadrant of a circle with ST as diameter

D.

It is a straight line perpendicular to ST

View Answer

67ca00ce0c643c71d77dee1f 2007
1831

If the lines 2y - kx + 2 = 0 and y + x - k/2 = 0 Intersect at (1, -2), find the value of k

A.

-4

B.

-3

C.

-2

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2007
1832

Determine the value of ∫0(π/2)(-2cosx)dx

A.

(π/2)

B.

-1/2

C.

-3

D.

-3/2

View Answer

67ca00ce0c643c71d77dee1f 2007
1833

The nth term of the sequence 3/2, 3, 7, 16, 35, 74 ..... Is

A.

5 . 2n-2 - n

B.

5 . 2n-2 - (n+1) / 2

C.

3 . 2n-2

D.

3/2 n

View Answer

67ca00ce0c643c71d77dee1f 2007
1834

The solution of the quadratic inequality (x3 + x - 12) ≥ 0 is

A.

x ≥ -3 or x ≤ 4

B.

x ≥ 3 or x ≥ -4

C.

x ≤ 3 or x v -4

D.

x ≥ 3 or x ≤ -4

View Answer

67ca00ce0c643c71d77dee1f 2007
1835

Find the value of x for which the function f(x) = 2x3 - x2 - 4x + 4 has a maximum value

A.

2/3

B.

1

C.

- 2/3

D.

- 1

View Answer

67ca00ce0c643c71d77dee1f 2007
1836

The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa gets N600 and Lawal N800. How old is Lawal?

A.

14 years

B.

20 years

C.

12 years

D.

16 years

View Answer

67ca00ce0c643c71d77dee1f 2007
1837

For what of n is n+1 C3 = 4( nC3)?

A.

6

B.

5

C.

4

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2006
1838

THe cost of renovating a 6 m square room is N540. What is the cost of renovating a 9 m square room?

A.

N1215

B.

N720

C.

N1620

D.

N810

View Answer

67ca00ce0c643c71d77dee1f 2006
1839

If y = x2 - x - 12, find the range of values of x for which y ≥ 0

A.

x < -3 0r x > 4

B.

x ≤ -3 or x ≥ 4

C.

-3 < x ≥ 4

D.

-3 ≤ x ≤ 4

View Answer

67ca00ce0c643c71d77dee1f 2006
1840

If T = 2 π √1/g, make g the subject of the formula

A.

(4π l2) / T

B.

(4π2l) / T2

C.

(4π2l2) / T2

D.

(2π√l) / T

View Answer

67ca00ce0c643c71d77dee1f 2006
1841

Compute 1100112 + 111112

A.

10010102

B.

10100102

C.

10001102

D.

10001002

View Answer

67ca00ce0c643c71d77dee1f 2006
1842

What is the locus of points equidistant from the lines ax + bc + c = 0?

A.

A line bx - ay +q = 0

B.

A line ax - ay +q = 0

C.

A line bx + ay +q = 0

D.

A line bx + ay +q = 0

View Answer

67ca00ce0c643c71d77dee1f 2006
1843

Evaluate ∫-4 0(1-2x)dx

A.

-16

B.

-20

C.

20

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2006
1844

SOLUTION : <math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mn>2</mn> <mrow> <mn>6</mn> <mo>&#x2212;</mo> <mn>5</mn> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>2</mn> <mrow> <mn>6</mn> <mo>&#x2212;</mo> <mn>5</mn> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> <mo>&#xD7;</mo> <mfrac> <mrow> <mn>6</mn> <mo>+</mo> <mn>5</mn> <msqrt> <mn>3</mn> </msqrt> </mrow> <mrow> <mn>6</mn> <mo>+</mo> <mn>5</mn> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <mn>6</mn> <mo>+</mo> <mn>5</mn> <msqrt> <mn>3</mn> </msqrt> <mo stretchy="false">)</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>6</mn> <mo>&#x2212;</mo> <mn>5</mn> <msqrt> <mn>3</mn> </msqrt> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>6</mn> <mo>+</mo> <mn>5</mn> <msqrt> <mn>3</mn> </msqrt> <mo stretchy="false">)</mo> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mn>12</mn> <mo>+</mo> <mn>10</mn> <mo>&#x2212;</mo> <msqrt> <mn>3</mn> </msqrt> </mrow> <mrow> <mn>36</mn> <mo>&#x2212;</mo> <mn>25</mn> <mo stretchy="false">(</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mn>12</mn> <mo>+</mo> <mn>10</mn> <mo>&#x2212;</mo> <msqrt> <mn>3</mn> </msqrt> </mrow> <mrow> <mn>36</mn> <mo>&#x2212;</mo> <mn>75</mn> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mn>12</mn> <mo>+</mo> <mn>10</mn> <mo>&#x2212;</mo> <msqrt> <mn>3</mn> </msqrt> </mrow> <mrow> <mo>&#x2212;</mo> <mn>39</mn> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mo>&#x2212;</mo> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mfrac> <mn>12</mn> <mn>39</mn> </mfrac> <mo>&#x2212;</mo> <mfrac> <mrow> <mn>10</mn> <msqrt> <mn>3</mn> </msqrt> </mrow> <mn>39</mn> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> </math>

Evaluate 2/(6-5√3)

A.

-(12/39-(10√3)/39)

B.

12/39-(10√3)/39

C.

-(12/39+(10√3)/39)

D.

12/39+(10√3)/39

View Answer

67ca00ce0c643c71d77dee1f 2006
1845

The response of 160 pupils in a school asked to indicate their favourite subjects is given in the bar chart above. What percentage of the pupils have English and Health education as the their favourite subjects?

A.

55%

B.

52%

C.

36%

D.

22%

View Answer

67ca00ce0c643c71d77dee1f 2006
1846

A binary operation θ defined on the set of real number is such that xθy = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6

A.

1/12

B.

10/3

C.

1/20

D.

9/5

View Answer

67ca00ce0c643c71d77dee1f 2006
1847

If E⊆G⊆U, where U is the universal set, then the shaded venn diagram representing U−E or Ecs

A.

I

B.

II

C.

III

D.

IV

View Answer

67ca00ce0c643c71d77dee1f 2006
1848

Find the roots of x3 - 2x2 - 5x + 6 = 0

A.

1, -2, 3

B.

1, 2, -3,

C.

-1, -2, 3

D.

-1, 2, -3

View Answer

67ca00ce0c643c71d77dee1f 2006
1849

Find the tax on an income of N20,000 if no tax is paid on the first N10,000 and tax is paid at N50 in N1000 on the next N5000 and at N55 in N1000 on the remainder

A.

N500

B.

N552

C.

N255

D.

N525

View Answer

67ca00ce0c643c71d77dee1f 2006
1850

IN the diagram above, POQ is a diameter of the circle PQRS. If ∠PSR = 145°, find xo

A.

55°

B.

45°

C.

35°

D.

25°

View Answer

67ca00ce0c643c71d77dee1f 2006
1851

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>x</mi> <mo>&#xD7;</mo> <mi>y</mi> <mo>=</mo> <mfrac> <mrow> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>&#x2212;</mo> <msup> <mi>y</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <mi>x</mi> <mi>y</mi> </mrow> </mfrac> <mi>f</mi> <mi>i</mi> <mi>n</mi> <mi>d</mi> <mo>&#x2212;</mo> <mn>5</mn> <mo>&#xD7;</mo> <mn>3</mn> </math>

A binary operation * on the set of rational numbers is defined asx×y=(x^2-y^2)/2xy find-5×3

A.

-8/15

B.

8/15

C.

17/15

D.

-17/15

View Answer

67ca00ce0c643c71d77dee1f 2006
1852

SOLUTION : <math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mi></mi> <mn>5</mn> </msup> <msub> <mi>C</mi> <mn>4</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mn>6</mn> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>6</mn> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>4</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>6</mn> <mo>!</mo> </mrow> <mrow> <mn>2</mn> <mo>!</mo> <mn>4</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>6</mn> <mo>&#x00D7;<!-- × --></mo> <mn>5</mn> <mo>&#x00D7;<!-- × --></mo> <mn>4</mn> <mo>!</mo> </mrow> <mrow> <mn>2</mn> <mo>&#x00D7;<!-- × --></mo> <mn>1</mn> <mo>&#x00D7;<!-- × --></mo> <mn>4</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mn>15</mn> <mspace width="1mm" /> <mi>w</mi> <mi>a</mi> <mi>y</mi> <mi>s</mi> </math>

A final examination requires that a student answer any 4 out of 6 questions. In how many ways can this be done?

A.

15

B.

20

C.

30

D.

45

View Answer

67ca00ce0c643c71d77dee1f 2006
1853

The sum of the first n positive integers is

A.

1/2 n(n-1)

B.

n(n+1)

C.

n(n-1)

D.

1/2 n(n-1)

View Answer

67ca00ce0c643c71d77dee1f 2006
1854

SOLUTION <math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mi>x</mi> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mi>x</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>7</mn> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mi>z</mi> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mfrac> <mi>x</mi> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>120</mn> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>7</mn> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>45</mn> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mi>x</mi> <mo>=</mo> <mfrac> <mrow> <mn>7</mn> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>120</mn> </mrow> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>45</mn> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mi>x</mi> <mo>=</mo> <mfrac> <mrow> <mn>7</mn> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mo stretchy="false">(</mo> <mn>180</mn> <mo>&#x2212;</mo> <mn>120</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>45</mn> </mrow> </mfrac> <mspace linebreak="newline"></mspace> <mi>x</mi> <mo>=</mo> <mfrac> <mrow> <mn>7</mn> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>60</mn> </mrow> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>45</mn> </mrow> </mfrac> <mo>=</mo> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mn>7</mn> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mfrac> <msqrt> <mn>3</mn> </msqrt> <mn>2</mn> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> <mo>&#xF7;</mo> <mfrac> <mn>1</mn> <msqrt> <mn>2</mn> </msqrt> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> <mspace linebreak="newline"></mspace> <mi>x</mi> <mo>=</mo> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mn>7</mn> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mfrac> <msqrt> <mn>3</mn> </msqrt> <mn>2</mn> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> <mo>&#xF7;</mo> <mfrac> <mn>1</mn> <msqrt> <mn>2</mn> </msqrt> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> <mspace linebreak="newline"></mspace> <mi>x</mi> <mo>=</mo> <mn>7</mn> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mfrac> <msqrt> <mn>6</mn> </msqrt> <mn>2</mn> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> </math>

In triangle XYZ, ∠XYZ = 15o, ∠XZY = 45o and lXYl = 7 cm. Find lYZl.

A.

14√2 cm

B.

7(√6/2)

C.

7√2 cm

D.

7 cm

View Answer

67ca00ce0c643c71d77dee1f 2006
1855

If the locus of the points which are equidistant from points P and Q meets line PQ at point N, then PN equals

A.

2NQ

B.

NQ

C.

1/4NQ

D.

1/2NQ

View Answer

67ca00ce0c643c71d77dee1f 2006
1856

In a small village of 500 people, 350 speak the local language while 200 speak pidgin English. What percentage of the population speak both.

A.

30%

B.

10%

C.

50%

D.

14%

View Answer

67ca00ce0c643c71d77dee1f 2006
1857

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is 2/3, find the value of x

A.

8

B.

10

C.

4

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2006
1858

Solve the inequalities for which (x + 4)/(3) - (x -3)/(2) < 4

A.

x < 7

B.

x > -7

C.

x < -7

D.

x > 7

View Answer

67ca00ce0c643c71d77dee1f 2006
1859

Differentiate (x2 - 1/x)2 with respect to x

A.

4x2 - 4x - 2/x

B.

4x2 - 2 + 2/x3

C.

4x2 - 2 - 2/x3

D.

4x2 - 3x + 2/x

View Answer

67ca00ce0c643c71d77dee1f 2006
1860

Differentiate (cos θ - sin θ)2

A.

-2 cos 2θ

B.

-2 sin2θ

C.

1 - 2 cos 2θ

D.

1 - 2 sin 2θ

View Answer

67ca00ce0c643c71d77dee1f 2006
1861

The table above shows the scores of a group of students in a physics test. If the mode is m and the number of students who scored 4 or more is n, what is (n, m)?

A.

(33, 4)

B.

(22, 4)

C.

(33, 12)

D.

(12, 4)

View Answer

67ca00ce0c643c71d77dee1f 2006
1862

Simplify (25)-1/2 x (27)1/3+ (121)-1/2 x (625)-1/4

A.

34/55

B.

9/11

C.

14/5

D.

3/275

View Answer

67ca00ce0c643c71d77dee1f 2006
1863

If dy/dx = x + cos x, find y

A.

x2 - sin x + c

B.

x2 + sin x + c

C.

x2/2 - sin x + c

D.

x2/2 + sin x + c

View Answer

67ca00ce0c643c71d77dee1f 2006
1864

The pie chart above shows the expenditure of a family whose income is N30,000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on food?

A.

N 28 000

B.

N 25 500

C.

N15 000s

D.

N 12 500s

View Answer

67ca00ce0c643c71d77dee1f 2006
1865

Calculate the logarithm to base 9 of 3-4 * 92 * (81)-1

A.

2

B.

0

C.

-2

D.

-4

View Answer

67ca00ce0c643c71d77dee1f 2006
1866

If (K2) 6 * 36 = 35(K4)5, what is the value of k?

A.

1

B.

4

C.

3

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2006
1867

The solution set of the shaded area above is

A.

Y ≥ 0, y ≥ x and y + x ≤ 4

B.

Y ≤ x, y + x ≤ 4

C.

Y + x ≥ 4, y ≤ x

D.

Y ≤ x, y + x ≤ 4 and y ≥ 0

View Answer

67ca00ce0c643c71d77dee1f 2006
1868

PQ and RS are two parallel lines. If the coordinates of P, Q, R, S are (1,q), (3,2), (3,4), (5,2q) respectively, find the value of q

A.

3

B.

4

C.

1

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2006
1869

In the diagram above, PQ = 10 cm, PS = 8 cm and ∠PSR is 60o while ∠SRQ is a right angle. Find SR

A.

14 cm

B.

14√3 cm

C.

10 cm

D.

10√3 cm

View Answer

67ca00ce0c643c71d77dee1f 2006
1870

The table above shows the distribution of recharge cards of four major GSM operators. What is the probability that a recharge card selected at random will be GTN or Qtel?

A.

3/20

B.

1/4

C.

2/5

D.

3/4

View Answer

67ca00ce0c643c71d77dee1f 2006
1871

Find the variance of 2x, 2x-1 and 2x+1

A.

2/3

B.

2

C.

√(2/3)

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2006
1872

The gradient of a curve is 2x + 7 and the curve passes through point (2, 0). find the equation of the curve.

A.

y = x2 + 7x + 9

B.

y = x2 + 7x - 18

C.

y = x2 + 7x + 18

D.

y = x2 + 14x + 11

View Answer

67ca00ce0c643c71d77dee1f 2006
1873

In the diagram above, find the value of x

A.

55°

B.

50°

C.

45°

D.

40°

View Answer

67ca00ce0c643c71d77dee1f 2006
1874

Simolify (7/9-2/3)/(1/3+(2/5)/(4/5))

A.

11/12

B.

5/6

C.

1/5

D.

2/15

View Answer

67ca00ce0c643c71d77dee1f 2006
1875

From the diagram above, find the bearing of R and S

A.

226°

B.

224°

C.

136°

D.

134°

View Answer

67ca00ce0c643c71d77dee1f 2005
1876

The grades of 36 students in a test are shown in the pie chart above. How many students had excellent?

A.

7

B.

8

C.

9

D.

12

View Answer

67ca00ce0c643c71d77dee1f 2005
1877

The weight W kg of a metal bar varies jointly as its length L meters and the square of its diameter d meters. If w = 140 when d = 4(2/3) and L = 54, find d in terms of W and L.

A.

√(42W/5L)

B.

√(6L/42W)

C.

42W/5L

D.

5L/42W

View Answer

67ca00ce0c643c71d77dee1f 2005
1878

The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) ≥ 0.

A.

x ≥ 2

B.

0 ≥ x ≥ 2

C.

-2 ≥ x ≥ 0, x ≤ 2

D.

x ≥ -2, 0 ≥ x ≥ 2

View Answer

67ca00ce0c643c71d77dee1f 2005
1879

In the diagram above calculate the value of x

A.

60°

B.

100°

C.

120°

D.

140°

View Answer

67ca00ce0c643c71d77dee1f 2005
1880

Find the area of the figure bounded by the given pair of curves y = x2 - x + 3 and y = 3

A.

17/6 units (sq)

B.

7/6 units (sq)

C.

5/6 units (sq)

D.

1/6 units (sq)

View Answer

67ca00ce0c643c71d77dee1f 2005
1881

In the diagram above, O is the center of the circle, ∠UOT = 70° and ∠RST = 100°. Calculate ∠RUO.

A.

20°

B.

25°

C.

50°

D.

80°

View Answer

67ca00ce0c643c71d77dee1f 2005
1882

If y = (1 - 2x)3 , find the value of dy/dx at x = -1

A.

57

B.

27

C.

-6

D.

-54

View Answer

67ca00ce0c643c71d77dee1f 2005
1883

Find the value of m if 13m + 24m = 41m

A.

8

B.

6

C.

5

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2005
1884

The maximum value of the function f(x) = 2 + x - x2 is

A.

9/4

B.

7/4

C.

3/2

D.

1/2

View Answer

67ca00ce0c643c71d77dee1f 2005
1885

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mo stretchy="false">(</mo> <msup> <mn>81</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>3</mn> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>2</mn> <mn>3</mn> </msup> </mrow> </mfrac> </math>

Evaluate ((〖81〗(3/4) -〖27〗(1/3))))/(3×2^3 )

A.

3

B.

1

C.

1/3

D.

1/8

View Answer

67ca00ce0c643c71d77dee1f 2005
1886

Simplify 3(1/2) - (2(1/3) * 1(1/4) + 3/5

A.

2(11/60)

B.

2(1/60)

C.

1(11/60)

D.

1(1/60)

View Answer

67ca00ce0c643c71d77dee1f 2005
1887

SOLUTION : <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>m</mi> <mi>e</mi> <mi>a</mi> <mi>n</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mfrac> <mrow> <mn>20</mn> <mi>t</mi> </mrow> <mn>5</mn> </mfrac> <mo>=</mo> <mn>4</mn> <mi>t</mi> <mspace linebreak="newline" /> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>d</mi> <mi>a</mi> <mi>r</mi> <mi>d</mi> <mspace width="1mm" /> <mi>d</mi> <mi>e</mi> <mi>v</mi> <mi>i</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>=</mo> <msqrt> <mfrac> <mrow> <mn>10</mn> <msup> <mi>t</mi> <mn>2</mn> </msup> </mrow> <mn>5</mn> </mfrac> </msqrt> <mspace linebreak="newline" /> <msqrt> <mn>2</mn> </msqrt> <mo>=</mo> <msqrt> <mfrac> <mrow> <mn>10</mn> <msup> <mi>t</mi> <mn>2</mn> </msup> </mrow> <mn>5</mn> </mfrac> </msqrt> <mspace linebreak="newline" /> <msqrt> <mn>2</mn> </msqrt> <mo>=</mo> <msqrt> <mn>2</mn> <msup> <mi>t</mi> <mn>2</mn> </msup> </msqrt> <mspace linebreak="newline" /> <mn>2</mn> <mo>=</mo> <mn>2</mn> <msup> <mi>t</mi> <mn>2</mn> </msup> <mspace linebreak="newline" /> <msup> <mi>t</mi> <mn>2</mn> </msup> <mo>=</mo> <mn>1</mn> <mspace linebreak="newline" /> <mi>t</mi> <mo>=</mo> <mn>1</mn> </math>

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is √2

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2005
1888

Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm

A.

25 πcm2

B.

65 πcm2

C.

120 πcm2

D.

156 πcm2

View Answer

67ca00ce0c643c71d77dee1f 2005
1889

The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?

A.

36 π cm2/sec

B.

18 π cm2/sec

C.

6 π cm2/sec

D.

3 π cm2/sec

View Answer

67ca00ce0c643c71d77dee1f 2005
1890

A chord of a circle subtends an angle of 60° at the length of a circle of radius 14 cm. Find the length of the chord

A.

7 cm

B.

14 cm

C.

21 cm

D.

28 cm

View Answer

67ca00ce0c643c71d77dee1f 2005
1891

The table above shows that the scores of a group of students in a test. If the average score is 3.5, find the value of x

A.

1

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2005
1892

If m = 3, p = -3, q = 7 and r = 5/2, evaluate m(p+q+r)

A.

19.50

B.

19.15

C.

18.95

D.

18.05

View Answer

67ca00ce0c643c71d77dee1f 2005
1893

If the interest on N150.00 for 2(1/2) years is N4.50, find the interest on N250.00 for 6 months at the same rate

A.

N1.50

B.

N7.50

C.

N15.00

D.

N18.00

View Answer

67ca00ce0c643c71d77dee1f 2005
1894

Three boys shared some oranges. The first received 1/3 of the oranges and the second received 2/3 of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share

A.

60

B.

54

C.

48

D.

42

View Answer

67ca00ce0c643c71d77dee1f 2005
1895

If the 7th term of an AP is twice the third term and the sum of the first four terms is 42, find the common difference.

A.

6

B.

3

C.

2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2005
1896

Find the derivative of y = sin(2x3 + 3x - 4)

A.

cos (2x3 + 3x - 4)

B.

-cos (2x3 + 3x - 4)

C.

(6x2 + 3) cos (2x3 + 3x - 4)

D.

-(6x2 + 3) cos (2x3 + 3x - 4)

View Answer

67ca00ce0c643c71d77dee1f 2005
1897

How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table

A.

360

B.

720

C.

2520

D.

5040

View Answer

67ca00ce0c643c71d77dee1f 2005
1898

A polynomial in x whose zeros are -2, -1 and 3 is

A.

x3 - 7x + 6

B.

x3 + 7x - 6

C.

x3 + 7x + 6

D.

x3 - 7x - 6

View Answer

67ca00ce0c643c71d77dee1f 2005
1899

Find the equation of the perpendicular at the point (4,3) to the line y + 2x = 5

A.

2y - x = 4

B.

y + 2x = 3

C.

y + 2x = 5

D.

2y - x = 2

View Answer

67ca00ce0c643c71d77dee1f 2005
1900

If Log10 2 = 0.3010 and Log103 = 0.4771, evaluate Log104.5

A.

0.9542

B.

0.6532

C.

0.4771

D.

0.3010

View Answer

67ca00ce0c643c71d77dee1f 2005
1901

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?

A.

20

B.

35

C.

45

D.

60

View Answer

67ca00ce0c643c71d77dee1f 2005
1902

The histogram above shows the distribution of the distribution of the monthly incomes of the workers in a company. How many workers earn more than N700.000?

A.

16

B.

12

C.

8

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2005
1903

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>2</mn> </mfrac> </mrow> </msubsup> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mn>2</mn> <mi>x</mi> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫0, (π/2sin2xdx

A.

1

B.

Zero

C.

-1/2

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2005
1904

From the diagram given, find the bearing of R from S

A.

226°

B.

224°

C.

136°

D.

134°

View Answer

67ca00ce0c643c71d77dee1f 2005
1905

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">&#x221A;</mo> </mrow> <mn>12</mn> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">&#x221A;</mo> </mrow> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">&#x221A;</mo> </mrow> <mn>12</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">&#x221A;</mo> </mrow> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </math>

Simplify ((√12-√3))/((√12+√3))

A.

zero

B.

1/3

C.

3/5

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2005
1906

The histogram above shows the distribution of monthly incomes of the workers in a company. How many workers earn more than N700.00?

A.

16

B.

12

C.

8

D.

6

View Answer

67ca00ce0c643c71d77dee1f 2005
1907

The diagram above is the graph of the function f(x). Determined the range of values of x for which f(x) ≤ 0

A.

x ≤ 2

B.

0 ≤ x ≤ 2

C.

-2 ≤ x ≤ 0, x ≥ 2

D.

x ≤ -2, 0 ≤ x ≤ 2

View Answer

67ca00ce0c643c71d77dee1f 2005
1908

Find the sum of the first 20 terms of the series 8, 12, 16, ....., 96

A.

1400

B.

1040

C.

960

D.

920

View Answer

67ca00ce0c643c71d77dee1f 2005
1909

Two lines PQ and ST intersect at 75°. The locus of points equidistant from PQ and ST lies on the

A.

perpendicular bisector of PQ

B.

perpendicular bisector of ST

C.

bisector of the angles between lines PQ and ST

D.

bisector of the angles between lines PT and QS

View Answer

67ca00ce0c643c71d77dee1f 2005
1910

If 3214 is divided by 234 and leaves a remainder r, what is the value of r?

A.

zero

B.

1

C.

2

D.

3

View Answer

67ca00ce0c643c71d77dee1f 2005
1911

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>a</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mi>r</mi> <mo>=</mo> <mfrac> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>2</mn> <mn>1</mn> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> <mspace linebreak="newline" /> <msub> <mi>S</mi> <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi> </msub> <mo>=</mo> <mfrac> <mi>a</mi> <mrow> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mi>r</mi> </mrow> </mfrac> <mspace linebreak="newline" /> <msub> <mi>S</mi> <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi> </msub> <mo>=</mo> <mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> </math>

Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....

A.

2/3

B.

1/3

C.

3/4

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2004
1912

PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.

A.

56 cm

B.

22 cm

C.

42 cm

D.

44 cm

View Answer

67ca00ce0c643c71d77dee1f 2004
1913

Determine the locus of a point inside a square PQRS which is eqidistant from PQ and QR

A.

The diagonal QS

B.

the perpendicular bisector of PQ

C.

The diagonal PR

D.

side SR

View Answer

67ca00ce0c643c71d77dee1f 2004
1914

I. Rectangular bars of equal width II. The height of each rectangular bar is proportional to the frequency of the corresponding class interval. III. Rectangular bars have common sides with no gaps in between A histogram is described completely by

A.

I, II and III

B.

I and II

C.

II and III

D.

I and III

View Answer

67ca00ce0c643c71d77dee1f 2004
1915

The pie chart above shows the distribution of the crops harvested from a farmland in a year. If 3000 tonnes of millet is harvested, what amount of beans is harvested

A.

6000 tonnes

B.

1500 tonnes

C.

1200 tonnes

D.

9000 tonnes

View Answer

67ca00ce0c643c71d77dee1f 2004
1916

The sum of the interior angles of a pentagon is 6x + 6y. Find y in the terms of x

A.

y = 90 - x

B.

y = 150 - x

C.

y = 60 - x

D.

y = 120 -x

View Answer

67ca00ce0c643c71d77dee1f 2004
1917

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>M</mi> <mi>i</mi> <mi>d</mi> <mi>p</mi> <mi>o</mi> <mi>i</mi> <mi>n</mi> <mi>t</mi> <mo>=</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>x</mi> <mn>2</mn> </msub> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> <mo>;</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <msub> <mi>y</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>y</mi> <mn>2</mn> </msub> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo>+</mo> <mn>5</mn> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> <mo>;</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>5</mn> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>2</mn> <mn>2</mn> </mfrac> <mo>;</mo> <mfrac> <mn>2</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </math>

Find the midpoint of the line joining P(-3, 5) and Q(5, -3).

A.

(1, 1)

B.

(2, 2)

C.

(4, 4)

D.

(4, -4)

View Answer

67ca00ce0c643c71d77dee1f 2004
1918

Solution: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>P</mi> <mi>Q</mi> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>1</mn> <mo>+</mo> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mo>+</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mo stretchy="false">)</mo> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo>&#x2217;<!-- ∗ --></mo> <mn>2</mn> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>3</mn> <mo>=</mo> <msqrt> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">)</mo> </msqrt> <mspace linebreak="newline" /> <mn>9</mn> <mo>=</mo> <mo stretchy="false">(</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">)</mo> <mspace linebreak="newline" /> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>9</mn> <mo>+</mo> <mn>2</mn> <mspace linebreak="newline" /> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B1;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x3B2;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>11</mn> </math>

Find the value of α2 + β2 if α + β = 2 and the distance between points (1, α) and (β, 1)is 3 units

A.

14

B.

3

C.

5

D.

11

View Answer

67ca00ce0c643c71d77dee1f 2004
1919

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo data-mjx-texclass="OP">&#x222B;</mo> <mrow data-mjx-texclass="ORD"> <mn>1</mn> </mrow> <mrow data-mjx-texclass="ORD"> <mn>3</mn> </mrow> </msubsup> <mo stretchy="false">(</mo> <msup> <mi>X</mi> <mn>2</mn> </msup> <mo>&#x2212;</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫_13(X2-1)dx

A.

2/3

B.

-2/3

C.

-6(2/3)

D.

6(2/3)

View Answer

67ca00ce0c643c71d77dee1f 2004
1920

the graph above shows the cumulative frequency curve of the distribution of marks in a class test. What percentage of the students scored more than 20 marks?

A.

68%

B.

28%

C.

17%

D.

8%

View Answer

67ca00ce0c643c71d77dee1f 2004
1921

Given that 3√42x = 16, find the value of x

A.

4

B.

6

C.

3

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2004
1922

The locus of a point which is 5 cm from the line LM is a

A.

line distance 10 cm from LM and parallel to LM

B.

pair of line on opposite sides of LM and parallel to it, each distance 5 cm from LM

C.

line parallel to LM and 5 cm from LM

D.

pair of parallel lines on one side of LM and parallel to LM

View Answer

67ca00ce0c643c71d77dee1f 2004
1923

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec

A.

96 cm

B.

324 cm

C.

36 cm

D.

144 cm

View Answer

67ca00ce0c643c71d77dee1f 2004
1924

y = is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.

A.

2

B.

10

C.

1/5

D.

1/10

View Answer

67ca00ce0c643c71d77dee1f 2004
1925

The weight of 10 pupils in a class are 15 kg, 16 kg, 17 kg, 18 kg, 16 kg, 17 kg, 17 kg, 17 kg, 18 kg, and 16 kg. What is the range of this distribution?

A.

4

B.

3

C.

1

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2004
1926

A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

A.

1 : 250 000

B.

1 : 25 000

C.

1 : 500

D.

1 : 5 000

View Answer

67ca00ce0c643c71d77dee1f 2004
1927

An unbiased die is rolled 100 times and the outcome is tabulated above. What is the probability of obtaining a 5?

A.

1/5

B.

1/2

C.

1/6

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2004
1928

P, R and S lie on a circle centre O as shown in the diagram while Q lies outside the circle. Find < PSO

A.

35°

B.

40°

C.

45°

D.

55°

View Answer

67ca00ce0c643c71d77dee1f 2004
1929

Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction the the third teacher receive?

A.

8/15

B.

11/25

C.

12/25

D.

13/25

View Answer

67ca00ce0c643c71d77dee1f 2004
1930

Find the derivatives of (2 + 3x)(1 - x) with respect to x

A.

6

B.

-3

C.

1-6x

D.

6x-1

View Answer

67ca00ce0c643c71d77dee1f 2004
1931

The shaded area in the diagram above is represented by

A.

{(x,y) : y - 3x < -6}

B.

{(x,y) : y + 3x < 6}

C.

{(x,y) : y + 3x < -6}

D.

{(x,y) : y - 3x < 6}

View Answer

67ca00ce0c643c71d77dee1f 2004
1932

P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO

A.

45°

B.

55°

C.

35°

D.

40°

View Answer

67ca00ce0c643c71d77dee1f 2004
1933

SOLUTION : <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>a</mi> <mo>=</mo> <mn>6</mn> <mo>,</mo> <msub> <mi>U</mi> <mn>4</mn> </msub> <mo>=</mo> <mn>162</mn> <mspace linebreak="newline" /> <msub> <mi>U</mi> <mn>4</mn> </msub> <mo>=</mo> <mi>a</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mspace linebreak="newline" /> <msub> <mi>U</mi> <mn>4</mn> </msub> <mo>=</mo> <mi>a</mi> <msup> <mi>r</mi> <mn>3</mn> </msup> <mspace linebreak="newline" /> <mn>162</mn> <mo>=</mo> <mn>6</mn> <mo stretchy="false">(</mo> <mi>r</mi> <msup> <mo stretchy="false">)</mo> <mn>3</mn> </msup> <mspace linebreak="newline" /> <msup> <mi>r</mi> <mn>3</mn> </msup> <mo>=</mo> <mn>27</mn> <mspace linebreak="newline" /> <mi>r</mi> <mo>=</mo> <mroot> <mn>27</mn> <mn>3</mn> </mroot> <mspace linebreak="newline" /> <mi>r</mi> <mo>=</mo> <mn>3</mn> <mspace linebreak="newline" /> <msub> <mi>S</mi> <mn>4</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>r</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>6</mn> <mo stretchy="false">(</mo> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>3</mn> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mrow> <mn>6</mn> <mo stretchy="false">(</mo> <mn>27</mn> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mn>3</mn> <mo>&#x00D7;<!-- × --></mo> <mn>26</mn> <mspace linebreak="newline" /> <mo>=</mo> <mn>78</mn> </math>

Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression

A.

27

B.

8

C.

78

D.

48

View Answer

67ca00ce0c643c71d77dee1f 2004
1934

An arc of a circle of length 22 cm subtends an angle of 3x° at the center of the circle. Find the value of x if the diameter of the circle is 14 cm

A.

60°

B.

120°

C.

180°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2004
1935

The pie chart above shoes the distribution of the corps harvested from a farmland in a year, If 3,000 tonnes of millet is harvested, what amount of beans is harvested?

A.

9000 tonnes

B.

6000 tonnes

C.

1500 tonnes

D.

1200tonnes

View Answer

67ca00ce0c643c71d77dee1f 2004
1936

The mean age of a group of students is 15 years. When the age of a teacher, 45 years old, is added to the age of the students, the mean of their ages becomes 18 years. Find the number of the students in the group

A.

0

B.

7

C.

42

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2004
1937

What is the rate of change of the volume v of a hemisphere with respect to its radius r when r = 2?

A.

B.

16π

C.

D.

View Answer

67ca00ce0c643c71d77dee1f 2004
1938

Factorize completely ac - 2bc - a + 4b2

A.

(a - 2b)(c - a - 2b)

B.

(a - 2b)(c + a +2b)

C.

(a - 2b)(c - a + 2b)

D.

(a - 2b)(c + a - 2b)

View Answer

67ca00ce0c643c71d77dee1f 2004
1939

The shaded region in the Venn diagram above is

A.

Pc ∪ (Q ∩ R)

B.

Pc ∩ (Q ∪ R)

C.

P ∩ Q

D.

Pc ∩ (Q ∩ R)

View Answer

67ca00ce0c643c71d77dee1f 2004
1940

Find the remainder when 3x3 + 5x2 - 11x + 4 is divided by x + 3

A.

-4

B.

4

C.

1

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2004
1941

The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.

A.

45°

B.

75°

C.

30°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2004
1942

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mi></mi> <mrow data-mjx-texclass="ORD"> <mn>3</mn> </mrow> </msup> <msub> <mi>C</mi> <mrow data-mjx-texclass="ORD"> <mn>1</mn> </mrow> </msub> <msup> <mo>&#xD7;</mo> <mrow data-mjx-texclass="ORD"> <mn>9</mn> </mrow> </msup> <msub> <mi>C</mi> <mrow data-mjx-texclass="ORD"> <mn>5</mn> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mn>3</mn> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>3</mn> <mo>&#x2212;</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>1</mn> <mo>!</mo> </mrow> </mfrac> <mo>&#xD7;</mo> <mfrac> <mrow> <mn>9</mn> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>9</mn> <mo>&#x2212;</mo> <mn>5</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>5</mn> <mo>!</mo> </mrow> </mfrac> <mtext mathcolor="red">\=</mtext> <mfrac> <mrow> <mn>3</mn> <mo>!</mo> </mrow> <mrow> <mn>2</mn> <mo>!</mo> <mn>1</mn> <mo>!</mo> </mrow> </mfrac> <mo>&#xD7;</mo> <mfrac> <mrow> <mn>9</mn> <mo>!</mo> </mrow> <mrow> <mn>4</mn> <mo>!</mo> <mn>5</mn> <mo>!</mo> </mrow> </mfrac> <mtext mathcolor="red">\=</mtext> <mfrac> <mrow> <mn>3</mn> <mo>&#xD7;</mo> <mn>2</mn> <mo>!</mo> </mrow> <mrow> <mn>2</mn> <mo>!</mo> <mo>&#xD7;</mo> <mn>1</mn> </mrow> </mfrac> <mo>&#xD7;</mo> <mfrac> <mrow> <mn>9</mn> <mo>&#xD7;</mo> <mn>8</mn> <mo>&#xD7;</mo> <mn>7</mn> <mo>&#xD7;</mo> <mn>6</mn> <mo>&#xD7;</mo> SOLUTION : <mn>5</mn> <mo>!</mo> </mrow> <mrow> <mn>4</mn> <mo>&#xD7;</mo> <mn>3</mn> <mo>&#xD7;</mo> <mn>2</mn> <mo>&#xD7;</mo> <mn>1</mn> <mo>&#xD7;</mo> <mn>5</mn> <mo>!</mo> </mrow> </mfrac> <mtext mathcolor="red">\=</mtext> <mn>3</mn> <mo>&#xD7;</mo> <mn>9</mn> <mo>&#xD7;</mo> <mn>2</mn> <mo>&#xD7;</mo> <mn>7</mn> <mtext mathcolor="red">\=</mtext> <mn>378</mn> <mspace width="1mm"></mspace> <mi>w</mi> <mi>a</mi> <mi>y</mi> <mi>s</mi> </math>

A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of assembly

A.

378 ways

B.

462 ways

C.

840 ways

D.

924 ways

View Answer

67ca00ce0c643c71d77dee1f 2004
1943

Find the derivatives of the function y = 2x2(2x - 1) at the point x = -1

A.

18

B.

16

C.

-4

D.

-6

View Answer

67ca00ce0c643c71d77dee1f 2004
1944

Some white balls put in a basket containing twelve red balls and sixteen black balls. If the probability of picking a white balls from the baskets is 3/7, how many white balls were introduced?

A.

12

B.

21

C.

28

D.

32

View Answer

67ca00ce0c643c71d77dee1f 2004
1945

An arc of a circle subtends an angle of 30° on the circumference of a circle of radius 21cm. Find the length of the arc.

A.

11cm

B.

22cm

C.

44cm

D.

66cm

View Answer

67ca00ce0c643c71d77dee1f 2003
1946

Simplify 1 - (7/3 x 5/4) + 3/5

A.

-16/15

B.

-79/60

C.

-37/15

D.

-151/60

View Answer

67ca00ce0c643c71d77dee1f 2003
1947

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msub> <mi>x</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>x</mi> <mn>1</mn> </msub> </mrow> <mn>2</mn> </mfrac> <mo>;</mo> <mfrac> <mrow> <msub> <mi>y</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>y</mi> <mn>1</mn> </msub> </mrow> <mn>2</mn> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mo>&#x2212;</mo> <mn>1</mn> <mo>+</mo> <mo stretchy="false">(</mo> <mo>&#x2212;</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> <mo>;</mo> <mfrac> <mrow> <mn>6</mn> <mo>&#x2212;</mo> <mn>4</mn> </mrow> <mn>2</mn> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mfrac> <mrow> <mo>&#x2212;</mo> <mn>4</mn> </mrow> <mn>2</mn> </mfrac> <mo>;</mo> <mfrac> <mn>2</mn> <mn>2</mn> </mfrac> <mspace linebreak="newline"></mspace> <mo>=</mo> <mo>&#x2212;</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> </math>

A triangle has vertices P(-1,6), Q(-3, -4) and R(1, -4).Find the midpoint of PQ and QR respectively.

A.

(0,-2) and (-1, -4)

B.

(-1,0) and (-1,-1)

C.

(-2,1) and (0,1)

D.

(-2,1) and (-1,-4)

View Answer

67ca00ce0c643c71d77dee1f 2003
1948

If π/≤ 2π, find the maximum value of f(θ) = 4/6 + 2 cos θ

A.

1

B.

1/2

C.

4

D.

2/3

View Answer

67ca00ce0c643c71d77dee1f 2003
1949

In the diagram PQR is a straight line and PS is a tangent to the circle < QRS with |PS| = |SR| and < SPR = 40°. Find PSQ

A.

20°

B.

40°

C.

10°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2003
1950

The sum of four numbers is 12145 . What is the average expressed in base five?

A.

114

B.

141

C.

401

D.

411

View Answer

67ca00ce0c643c71d77dee1f 2003
1951

On a pie chart, there are four sectors of which three angles are 45°, 90° and 135°. If the smallest sector represents N28.00, how much is the largest sector?

A.

N96.00

B.

N84.00

C.

N48.00

D.

N42.00

View Answer

67ca00ce0c643c71d77dee1f 2003
1952

The result of tossing a fair die 120 times is summarized above. Find the value of x

A.

21

B.

19

C.

22

D.

20

View Answer

67ca00ce0c643c71d77dee1f 2003
1953

An aeroplane flies due north from airport P to Q and then flies due east R. If Q is equidistant from P and R, find the bearing of P and R

A.

90°

B.

135°

C.

225°

D.

270°

View Answer

67ca00ce0c643c71d77dee1f 2003
1954

In a class of 40 students, 32 offer mathematics, 24 offer Physics, and 4 offer neither Mathematics nor Physics. How many offer both Mat ematics and Physics?

A.

20

B.

16

C.

8

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2003
1955

Find the equation of the locus of a point P(x,y) which is equidistant from Q(0,0) and R(2,1).

A.

4x + 2y = 5

B.

4x - 2y = 5

C.

2x + 2y = 5

D.

2x + y = 5

View Answer

67ca00ce0c643c71d77dee1f 2003
1956

x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?

A.

3

B.

4

C.

6

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2003
1957

solution <math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mi></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <msub> <mi>P</mi> <mn>3</mn> </msub> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <msup> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0</mn> <mspace linebreak="newline" /> <mfrac> <mrow> <mi>n</mi> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> </mfrac> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>n</mi> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>4</mn> <mo>!</mo> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>=</mo> <mn>0</mn> <mspace linebreak="newline" /> <mfrac> <mrow> <mi>n</mi> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> </mfrac> <mo>=</mo> <mn>6</mn> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>n</mi> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>4</mn> <mo>!</mo> </mrow> </mfrac> <mo>)</mo> </mrow> <mspace linebreak="newline" /> <mi>n</mi> <mo>!</mo> <mo stretchy="false">(</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>4</mn> <mo>!</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mn>6</mn> <mi>n</mi> <mo>!</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mspace linebreak="newline" /> <mo stretchy="false">(</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mn>4</mn> <mo>!</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mn>6</mn> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> <mspace linebreak="newline" /> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>6</mn> <mrow> <mn>4</mn> <mo>!</mo> </mrow> </mfrac> <mspace linebreak="newline" /> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>6</mn> <mrow> <mn>4</mn> <mo>&#x00D7;<!-- × --></mo> <mn>3</mn> <mo>&#x00D7;<!-- × --></mo> <mn>2</mn> <mo>&#x00D7;<!-- × --></mo> <mn>1</mn> </mrow> </mfrac> <mspace linebreak="newline" /> <mfrac> <mn>1</mn> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> <mo>=</mo> <mo stretchy="false">]</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mspace linebreak="newline" /> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo>=</mo> <mn>4</mn> <mspace linebreak="newline" /> <mi>n</mi> <mo>=</mo> <mn>4</mn> <mo>+</mo> <mn>3</mn> <mspace linebreak="newline" /> <mi>n</mi> <mo>=</mo> <mn>7</mn> </math>

If nP3−6(nC4)=0, find the value of n.

A.

5

B.

6

C.

7

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2003
1958

In the diagram above, PQ is parallel to RS. What is the value of α + β + γ?

A.

360°

B.

200°

C.

180°

D.

90°

View Answer

67ca00ce0c643c71d77dee1f 2003
1959

The length a person can jump is inversely proportional to his weight. If a 20 kg person can jump 1.5 m, find the constant of proportionality

A.

60

B.

30

C.

20

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2003
1960

In the diagram above, PQR is a straight line and PS is a tangent to the circle QRS with /PS/ = /SR/ and ∠SPR = 40o. Find ∠PSQ

A.

40°

B.

30°

C.

20°

D.

10°

View Answer

67ca00ce0c643c71d77dee1f 2003
1961

Simplify (√98 -√50)/√32

A.

3

B.

1

C.

1/2

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2003
1962

Three consecutive terms of a geometric progression are given as n-2, n and n+3. Find the common ratio

A.

1/4

B.

1/2

C.

2/3

D.

3/2

View Answer

67ca00ce0c643c71d77dee1f 2003
1963

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> <mo stretchy="false">(</mo> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mi>x</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫2 3(x2−2x)dx

A.

4

B.

2

C.

4/3

D.

1/3

View Answer

67ca00ce0c643c71d77dee1f 2003
1964

Triangle OPQ above is the solution of the inequalities

A.

x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0

B.

y + x ≤ 0, y - x ≥ 0, x -1 ≥ 0

C.

x - 1 ≤ 0, y - x ≥ o, y + x ≥ 0

D.

x - 1 ≤ 0, y + x ≤ 0, y - x ≤ 0

View Answer

67ca00ce0c643c71d77dee1f 2003
1965

Evaluate log√24 + log1/2 16 − log432

A.

-5.5

B.

-2.5

C.

2.5

D.

5.5

View Answer

67ca00ce0c643c71d77dee1f 2003
1966

A bag contains 5 blacks balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red balls are picked?

A.

15/28

B.

13/28

C.

5/14

D.

3/14

View Answer

67ca00ce0c643c71d77dee1f 2003
1967

The range of 4, 3, 11, 9, 6, 15, 19, 23, 27, 24, 21 and 16 is

A.

23

B.

24

C.

21

D.

16

View Answer

67ca00ce0c643c71d77dee1f 2003
1968

If y = 3 sin(-4x), dy/dx is

A.

12x cos (4x)

B.

-12x cos (-4x)

C.

-12 cos (-4x)

D.

12 sin (-4x)

View Answer

67ca00ce0c643c71d77dee1f 2003
1969

By how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median?

A.

0.75

B.

0.50

C.

0.33

D.

0.17

View Answer

67ca00ce0c643c71d77dee1f 2003
1970

Given: U = {Even numbers between 0 and 30} P = {Multiples of 6 between 0 and 30} Q = {Multiples of 4 between 0 and 30} Find (P∪Q)c

A.

{2, 10, 14, 22, 26}

B.

{0, 10, 14, 22, 26}

C.

{2,4, 14, 18, 26}

D.

{0, 2, 6, 22, 26}

View Answer

67ca00ce0c643c71d77dee1f 2003
1971

Simplify 2134 x 234

A.

103114

B.

103214

C.

122314

D.

132114

View Answer

67ca00ce0c643c71d77dee1f 2003
1972

XYZ is a circle enter o and a radius 7cm. Find the area of the shaded region. θ = 45 x 2 = 90

A.

84cm2

B.

B 77cm2

C.

38cm2

D.

14cm2

View Answer

67ca00ce0c643c71d77dee1f 2003
1973

Find the slope of the curve y = 2x2 + 5x - 3 at (1, 4).

A.

4

B.

6

C.

7

D.

9

View Answer

67ca00ce0c643c71d77dee1f 2003
1974

Find the value of x and y respectively if 3x - 5y + 5 = 0 and 4x - 7y + 8 = 0

A.

-5, -4

B.

-4,. -5

C.

4, 5

D.

5, 4

View Answer

67ca00ce0c643c71d77dee1f 2003
1975

The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90° is

A.

a circle

B.

a semicircle

C.

an arc of a circle through X, Y

D.

the perpendicular bisector of XY

View Answer

67ca00ce0c643c71d77dee1f 2003
1976

solution: <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtable columnalign="center center" columnspacing="1em" rowspacing="4pt" columnlines="solid"> <mtr> <mtd> <mtext>Age in years</mtext> </mtd> <mtd> <mn>10</mn> </mtd> <mtd> <mn>20</mn> </mtd> <mtd> <mn>30</mn> </mtd> <mtd> <mn>40</mn> </mtd> <mtd> <mn>50</mn> </mtd> </mtr> <mtr> <mtd> <mi>h</mi> <mi>l</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> <mtext>frequency</mtext> </mtd> <mtd> <mn>3</mn> </mtd> <mtd> <mn>4</mn> </mtd> <mtd> <mn>5</mn> </mtd> <mtd> <mn>6</mn> </mtd> <mtd> <mn>2</mn> </mtd> </mtr> </mtable> </math>

The histogram above shows the ages of victims of a pollution. How many people were involved in the pollution?

A.

20

B.

21

C.

15

D.

18

View Answer

67ca00ce0c643c71d77dee1f 2003
1977

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mn>1</mn> <mn>0.06</mn> </mfrac> <mo>&#x00F7;<!-- ÷ --></mo> <mfrac> <mn>1</mn> <mn>0.042</mn> </mfrac> </math>

Find (1/0.06 ÷ 1/0.042 )=1 , correct to two decimal places

A.

1.43

B.

1.53

C.

3.14

D.

4.42

View Answer

67ca00ce0c643c71d77dee1f 2003
1978

The graph of the function y = x2 + 4 and a straight line PQ are drawn to solve the equation x2 - 3x + 2 = 0. What is the equation of PQ?

A.

y = 3x - 2

B.

y = 3x + 2

C.

y = 3x - 4

D.

y = 3x + 4

View Answer

67ca00ce0c643c71d77dee1f 2003
1979

Triangle OPQ is the solution of the inequalities

A.

x - 1 < 0, y + ≥ 0, y - x ≥ 0

B.

x + 1 ≤ 0, y + x ≥ 0, y - x ≤ 0

C.

x - 1 ≥ 0, y - x ≥ 0, y + x ≥ 0

D.

y + x ≥ 0, y - x ≤ 0

View Answer

67ca00ce0c643c71d77dee1f 2003
1980

A woman buys 270 oranges for N1800.00 and sells at 5 for N40.00. What is her profit?

A.

N2,160.00

B.

N1, 620.00

C.

N630.00

D.

N360.00

View Answer

67ca00ce0c643c71d77dee1f 2003
1981

The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?

A.

12

B.

20

C.

40

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2002
1982

The venn diagram shows the number of students offering Music and History in a class of 80 students. If a student is picked at random from the class, what is the probability that he offers Music only?

A.

0.25

B.

0.38

C.

0.50

D.

0.13

View Answer

67ca00ce0c643c71d77dee1f 2002
1983

Use the graph find the values of p and q if px + qy ≥ 4

A.

p = 2, q = -1

B.

p = -1, q = 2

C.

p = 2, q = 2

D.

p = 1, q = 2

View Answer

67ca00ce0c643c71d77dee1f 2002
1984

The acres for rice, pineapple, cassava, cocoa, and palm oil in a certain district are given respectively as 2, 5, 3, 11, and 9. What is the angle sector for cassava in a pie chart?

A.

108°

B.

180°

C.

36°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2002
1985

If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)

A.

4

B.

27

C.

√3

D.

√17

View Answer

67ca00ce0c643c71d77dee1f 2002
1986

In the diagram above, PST is a straight line, PQ = QS = RS. If ∠RST = 72°, find x

A.

36°

B.

18°

C.

72°

D.

24°

View Answer

67ca00ce0c643c71d77dee1f 2002
1987

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo>&#x222B;<!-- ∫ --></mo> <mi>sin</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>3</mn> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>x</mi> </math>

Evaluate ∫sin3xdx

A.

(2/3) cos 3x + c

B.

(1/3) cos 3x + c

C.

(-1/3) cos 3x + c

D.

(-2/3) cos 3x + c

View Answer

67ca00ce0c643c71d77dee1f 2002
1988

A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.

A.

304π/3 cm3

B.

144π cm3

C.

128π cm3

D.

72π cm3

View Answer

67ca00ce0c643c71d77dee1f 2002
1989

In the diagram above are two concentric circles of radii r and R respectively with center O. If r = 2/3R, express the area of the shaded portion in terms of π and R

A.

21/25πR2

B.

9/25πR2

C.

21/23πR2

D.

5/9πR2

View Answer

67ca00ce0c643c71d77dee1f 2002
1990

Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7

A.

y = 3

B.

x = 3

C.

x = 4

D.

y = 4

View Answer

67ca00ce0c643c71d77dee1f 2002
1991

The triangle POR is

A.

an isosceles triange

B.

an obtuse angle

C.

a scalene triangle

D.

an equilateral triangle

View Answer

67ca00ce0c643c71d77dee1f 2002
1992

Simplify 52.4 - 5.7 - 3.45 - 1.75

A.

41.4

B.

41.5

C.

42.1

D.

42.2

View Answer

67ca00ce0c643c71d77dee1f 2002
1993

Find the mean of the data: 7, -3, 4, -2, 5, -9, 4, 8, -6, 12

A.

3

B.

4

C.

1

D.

2

View Answer

67ca00ce0c643c71d77dee1f 2002
1994

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> <mn>4</mn> </mfrac> <mo>&#x2212;<!-- − --></mo> <mfrac> <mrow> <mn>2</mn> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> </mrow> <mn>3</mn> </mfrac> <mo>&lt;</mo> <mn>4</mn> </math>

Find the range of values of x for which (x+2)/4−2x−3/3 < 4

A.

x > -6

B.

x > -3

C.

x < 8

D.

x < 4

View Answer

67ca00ce0c643c71d77dee1f 2002
1995

The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... Is

A.

11/3

B.

10/3

C.

5/2

D.

3/2

View Answer

67ca00ce0c643c71d77dee1f 2002
1996

Find the maximum value of y in the equation y = 1 - 2x - 3x2

A.

5/4

B.

5/3

C.

3/4

D.

4/3

View Answer

67ca00ce0c643c71d77dee1f 2002
1997

A chord of a circle subtends an angle of 120° degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.

A.

4π cm2

B.

32 π cm2

C.

16 π cm2

D.

8 π cm2

View Answer

67ca00ce0c643c71d77dee1f 2002
1998

A trader bought goats for N4000 each. He sold them for N180,000 at a loss of 25%. How many goats did he buy?

A.

60

B.

50

C.

45

D.

36

View Answer

67ca00ce0c643c71d77dee1f 2002
1999

In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.

A.

180 πcm3

B.

162 πcm3

C.

216 πcm3

D.

198 πcm3

View Answer

67ca00ce0c643c71d77dee1f 2002
2000

How many three-digit numbers can be formed from 32564 without repeating any of the digits?

A.

120

B.

10

C.

20

D.

60

View Answer

67ca00ce0c643c71d77dee1f 2002
2001

The time taken to do a piece of work is inversely proportional to the number of men employed. if it takes 45 men to do a piece of work in 5 days, how long will it take 25 men

A.

15 days

B.

12 days

C.

5 days

D.

9 days

View Answer

67ca00ce0c643c71d77dee1f 2002
2002

If y=x2−1x. find dy/dx

A.

2x - (1/x2)

B.

2x + x2

C.

2x - x2

D.

2x + (1/x2)

View Answer

67ca00ce0c643c71d77dee1f 2002
2003

Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8.

A.

13/6

B.

5/2

C.

7/6

D.

7/3

View Answer

67ca00ce0c643c71d77dee1f 2002
2004

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>0.21</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.072</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.00054</mn> </mrow> <mrow> <mn>0.006</mn> <mo>&#x00D7;<!-- × --></mo> <mn>1.68</mn> <mo>&#x00D7;<!-- × --></mo> <mn>0.063</mn> </mrow> </mfrac> </math>

Evaluate: 0.21×0.072×0.00054/0.006×1.68×0.063

A.

0.01286

B.

0.01285

C.

0.1286

D.

0.1285

View Answer

67ca00ce0c643c71d77dee1f 2002
2005

In the diagram above , XZ is the diameter of the circle XZW, with center O and radius 15/2 cm. If XY = 12 cm, find the area of the triangle XYZ

A.

54 cm2

B.

45 cm2

C.

27 cm2

D.

75 cm2

View Answer

67ca00ce0c643c71d77dee1f 2002
2006

If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x.

A.

2x2 - 3x

B.

x2 - 3x

C.

2x2 - 3x - 3

D.

2x2 - 3x + 3

View Answer

67ca00ce0c643c71d77dee1f 2002
2007

The range of the data: k+2, k-3, k+4, k-2, k, k-5, k+3, k-1, and k+6 is

A.

10

B.

11

C.

6

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2002
2008

The inverse function f(x) = 3x + 4 is

A.

(x-4)/3

B.

(x-5)/5

C.

(x+3)/4

D.

(x+4)/3

View Answer

67ca00ce0c643c71d77dee1f 2002
2009

Find the coordinates of the mid-point of x and y intercepts of the line 2y = 4x - 8

A.

(2, 0)

B.

(1, -2)

C.

(-1, -2)

D.

(1, 2)

View Answer

67ca00ce0c643c71d77dee1f 2002
2010

If -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7, find the value of c.

A.

4

B.

3

C.

2

D.

1

View Answer

67ca00ce0c643c71d77dee1f 2002
2011

In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 mathematics. How many offer Biology but not Mathematics?

A.

95

B.

80

C.

125

D.

110

View Answer

67ca00ce0c643c71d77dee1f 2002
2012

The slope of the tangent to the curve y = 3x2 - 2x + 5 at the point (1, 6) is

A.

4

B.

1

C.

6

D.

5

View Answer

67ca00ce0c643c71d77dee1f 2002
2013

The locus of a point P which is equidistant from two given points S and T is

A.

the perpendicular bisector of ST

B.

the angle bisector of PS and ST

C.

a perpendicular to ST

D.

a line parallel to ST

View Answer

67ca00ce0c643c71d77dee1f 2002
2014

Find the value of a if the line 2y - ax + 4 = 0 is perpendicular to the line y + (x/4) - 7 = 0

A.

-4

B.

4

C.

8

D.

-8

View Answer

67ca00ce0c643c71d77dee1f 2002
2015

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>y</mi> <mo>=</mo> <msup> <mi>sin</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mn>5</mn> <mi>x</mi> <mo stretchy="false">)</mo> </math>

Find the derivative of y=sin2(5x) with respect to x.

A.

10 sin 5x cos 5x

B.

5 sin5x cos 5x

C.

2 sin 5x cos 5x

D.

15 sin 5x cos 5x

View Answer

67ca00ce0c643c71d77dee1f 2002
2016

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo stretchy="false">(</mo> <msqrt> <mn>0.7</mn> </msqrt> <mo>+</mo> <msqrt> <mn>70</mn> </msqrt> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </math>

Simplify (√0.7+√70)2

A.

84.7

B.

70.7

C.

217.7

D.

168.7

View Answer

67ca00ce0c643c71d77dee1f 2002
2017

If tan θ = 4/3, calculate sin2 θ - cos2 θ.

A.

16/25

B.

24/25

C.

7/25

D.

9/25

View Answer

67ca00ce0c643c71d77dee1f 2002
2018

A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area?

A.

B.

C.

π

D.

View Answer

67ca00ce0c643c71d77dee1f 2002
2019

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mi>x</mi> <mrow> <mi>r</mi> <mo>+</mo> <mi>a</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mi>a</mi> <mi>r</mi> </mfrac> </math>

ake r subject of the formula given that x/r+a = a/r

A.

a2/(x−a)

B.

a2/(x+a)

C.

a/(x - a)

D.

a/(x + a)

View Answer

67ca00ce0c643c71d77dee1f 2002
2020

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo stretchy="false">(</mo> <mn>343</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <mo stretchy="false">(</mo> <mn>0.14</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <mo stretchy="false">(</mo> <mn>25</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> </math>

Without using tables, evaluate (343)(1/3) × (0.14)−1 × (25)(−1/2)

A.

10

B.

12

C.

8

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2002
2021

The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.

A.

105

B.

100

C.

95

D.

110

View Answer

67ca00ce0c643c71d77dee1f 2002
2022

The probability of a student passing any exam is 2/3. If the student takes three exams, what is the probability that he will not pass any of them?

A.

2/3

B.

4/9

C.

8/27

D.

1/27

View Answer

67ca00ce0c643c71d77dee1f 2002
2023

Solve for x in the equation x3 - 5x2 - x + 5 = 0

A.

1, - 1, or 5

B.

1, 1, or -5

C.

-1, 1, or -5

D.

1, 1, or 5

View Answer

67ca00ce0c643c71d77dee1f 2002
2024

The distribution above shows the number of days a group of 260 students were absents from school in a particular term. How many students were absent for at least four days in the term

A.

210

B.

40

C.

120

D.

160

View Answer

67ca00ce0c643c71d77dee1f 2002
2025

The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q.

A.

040°

B.

070°

C.

280°

D.

320°

View Answer

67ca00ce0c643c71d77dee1f 2001
2026

The graph shows the cumulative frequency of the distribution of masses of fertilizer for 48 workers in one institution. Which of the following gives the inter-quartile range?

A.

1/2(Q3 - Q1

B.

(Q3 - Q2

C.

(Q3 - Q2

D.

(Q3 - Q1

View Answer

67ca00ce0c643c71d77dee1f 2001
2027

Find the principal which amounts to N5,500 at a simple interest in 5 years at 2% per annum.

A.

N4,900

B.

N5,000

C.

N4,700

D.

N4,800

View Answer

67ca00ce0c643c71d77dee1f 2001
2028

Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.

A.

square of sides p

B.

square of sides 2p

C.

square of sides (p/2)

D.

square of sides (p/4)

View Answer

67ca00ce0c643c71d77dee1f 2001
2029

The histogram above shows the distribution of passengers in taxis of a certain motor park. How many taxis have more than 4 passengers

A.

16

B.

17

C.

14

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2001
2030

Triangle SPT is the solution of the linear inequalities

A.

2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, -2 ≤ x ≤ - 1

B.

-2 ≤ x ≤ 2, y ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0

C.

2y - x - 2 ≤ 0, y + 2x + 2 ≤ 0, y ≥ 0, x ≤ 0

D.

2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0

View Answer

67ca00ce0c643c71d77dee1f 2001
2031

The identity element with respect to the multiplication shown in the table above is

A.

o

B.

m

C.

i

D.

k

View Answer

67ca00ce0c643c71d77dee1f 2001
2032

The bar chart shows different colours of cars passing a particular point of a certain street in two minutes. What fraction of the cars is yellow

A.

1/5

B.

2/25

C.

4/15

D.

3/25

View Answer

67ca00ce0c643c71d77dee1f 2001
2033

An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.

A.

4

B.

0

C.

-2

D.

-4

View Answer

67ca00ce0c643c71d77dee1f 2001
2034

Find the value of θ in the diagram

A.

60°

B.

100°

C.

120°

D.

30°

View Answer

67ca00ce0c643c71d77dee1f 2001
2035

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mfrac> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>3</mn> </mrow> </msup> <msup> <mi>y</mi> <mrow data-mjx-texclass="ORD"> <mn>3</mn> </mrow> </msup> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> <mo>&#xF7;</mo> <mrow data-mjx-texclass="INNER"> <mo data-mjx-texclass="OPEN">(</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&#x2212;</mo> <mfrac> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>y</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> </mfrac> <mo data-mjx-texclass="CLOSE">)</mo> </mrow> </math>

If x = y/2, evaluate (x2 / y2 + 1/2) / (1/2 - x2 / y2)

A.

5/8

B.

5/2

C.

5/4

D.

5/16

View Answer

67ca00ce0c643c71d77dee1f 2001
2036

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode.

A.

49

B.

121

C.

25

D.

64

View Answer

67ca00ce0c643c71d77dee1f 2001
2037

In the figure PQR a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, < SRQ is 75° and < QPT IS 25°. Calculate the value of < RST

A.

50°

B.

25°

C.

55°

D.

45°

View Answer

67ca00ce0c643c71d77dee1f 2001
2038

Factorize 4x2 - 9y2 + 20x + 25

A.

(2x -3y + 5)(2x - 3y - 5)

B.

(2x - 3y)(2x + 3y)

C.

(2x - 3y +5)(2x + 3y + 5)

D.

(2x + 5)(2x - 9y +5)

View Answer

67ca00ce0c643c71d77dee1f 2001
2039

A car dealer bought a second-hand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

A.

60%

B.

32%

C.

25%

D.

20%

View Answer

67ca00ce0c643c71d77dee1f 2001
2040

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo stretchy="false">(</mo> <mroot> <mrow> <mn>64</mn> <msup> <mi>a</mi> <mrow data-mjx-texclass="ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mn>3</mn> </mroot> <msup> <mo stretchy="false">)</mo> <mrow data-mjx-texclass="ORD"> <mo>&#x2212;</mo> <mn>1</mn> </mrow> </msup> </math>

Simplify (3√(64a3))<−1

A.

4a

B.

1/8a

C.

8a

D.

1/4a

View Answer

67ca00ce0c643c71d77dee1f 2001
2041

a sector of a circle of radius 7.2cm which subtends an angle of 300° at the centre is used to form a cone. What is the radius of the base of the cone?

A.

8cm

B.

6cm

C.

9cm

D.

7cm

View Answer

67ca00ce0c643c71d77dee1f 2001
2042

Divide: ax3x - 26x2x + 156ax - 216 by a2x - 24ax + 108

A.

ax - 2

B.

ax + 2

C.

ax - 8

D.

ax - 6

View Answer

67ca00ce0c643c71d77dee1f 2001
2043

Teams P and Q are involved in a game of football. What is the probability that the game ends in a draw?

A.

2/3

B.

1/2

C.

1/3

D.

1/4

View Answer

67ca00ce0c643c71d77dee1f 2001
2044

Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.

A.

12π

B.

C.

24π

D.

View Answer

67ca00ce0c643c71d77dee1f 2001
2045

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. The mean score is

A.

7.0

B.

8.7

C.

9.5

D.

11.0

View Answer

67ca00ce0c643c71d77dee1f 2001
2046

A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line.

A.

y = (x/10) + 5

B.

y = x + 5

C.

√3y = - x + 5√3

D.

√3y = x + 5√3

View Answer

67ca00ce0c643c71d77dee1f 2001
2047

Evaluate (0.142 x 0.275) 7(0.02) to 3 decimal places.

A.

0.039

B.

0.358

C.

0.033

D.

0.308

View Answer

67ca00ce0c643c71d77dee1f 2001
2048

A cylindrical tank has a capacity of 3080 m3. What is the depth of the tank if the diameter of its base is 14 m? (Take pi = 22/7)

A.

23 m

B.

25 m

C.

20 m

D.

22 m

View Answer

67ca00ce0c643c71d77dee1f 2001
2049

Solve the equations m2 + n2 = 29 m + n = 7

A.

(2, 3) and ( 3, 5)

B.

(2, 5) and (5, 2)

C.

(5, 2) and ( 5, 3)

D.

(5, 3) and (3, 5)

View Answer

67ca00ce0c643c71d77dee1f 2001
2050

Solution. <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>y</mi> <mo>=</mo> <mi>p</mi> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>q</mi> <mtext mathcolor="red">\y</mtext> <mo>=</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <mn>1</mn> <mspace linebreak="newline"></mspace> <mi>R</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mi>a</mi> <mi>r</mi> <mi>r</mi> <mi>o</mi> <mi>w</mi> <mi>p</mi> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>q</mi> <mo>=</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <mn>1</mn> <msup> <mtext mathcolor="red">\px</mtext> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <mn>1</mn> <mo>&#x2212;</mo> <mi>q</mi> <mtext mathcolor="red">\p</mtext> <mo>=</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <mi>q</mi> <mo>&#x2212;</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <msup> <mi>x</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> </mfrac> <mtext mathcolor="red">\At</mtext> <mspace width="1mm"></mspace> <mi>x</mi> <mo>=</mo> <mn>2</mn> <mtext mathcolor="red">\p</mtext> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <msup> <mn>2</mn> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>&#x2212;</mo> <mn>1</mn> <mo>&#x2212;</mo> <mi>q</mi> <mo stretchy="false">)</mo> </mrow> <msup> <mn>2</mn> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> </mfrac> <mtext mathcolor="red">\p</mtext> <mo>=</mo> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>8</mn> <mo>&#x2212;</mo> <mn>1</mn> <mo>&#x2212;</mo> <mi>q</mi> <mo stretchy="false">)</mo> </mrow> <mn>4</mn> </mfrac> <mtext mathcolor="red">\=</mtext> <mfrac> <mrow> <mn>7</mn> <mo>&#x2212;</mo> <mi>q</mi> </mrow> <mn>4</mn> </mfrac> </math>

If two graphs y = px2+ q and y = 2x2 -1 intersect at x = 2, find the value of p in terms q.

A.

(q-8)/7

B.

(7-q)/4

C.

(8-q)/2

D.

(7-q)/8

View Answer

67ca00ce0c643c71d77dee1f 2001
2051

Differentiate (2x+5)2(x-4) with respect to x.

A.

4(2x+5)(x-4)

B.

4(2x+5)(4x-3)

C.

(2x+5)(2x-13)

D.

(2x+5)(6x-11)

View Answer

67ca00ce0c643c71d77dee1f 2001
2052

If y = x sinx, find dy/dx when x = π/2.

A.

-π/2

B.

-1

C.

1

D.

π/2

View Answer

67ca00ce0c643c71d77dee1f 2001
2053

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.

A.

6

B.

2

C.

3

D.

8

View Answer

67ca00ce0c643c71d77dee1f 2001
2054

Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.

A.

y = k + or - 4

B.

y = 4 + or - k

C.

y = 4 + k

D.

y = k - 4

View Answer

67ca00ce0c643c71d77dee1f 2001
2055

The histogram shows the distribution of passengers in taxis at a certain motor park. How many taxis have more than 4 passengers?

A.

17

B.

16

C.

15

D.

14

View Answer

67ca00ce0c643c71d77dee1f 2001
2056

Find the range of these fractions: 1/6, 1/3, 3/2, 2/3, 8/9 and 4/3.

A.

3/4

B.

5/6

C.

7/6

D.

4/3

View Answer

67ca00ce0c643c71d77dee1f 2001
2057

Evaluate (Integral)2(2x-3)2/3dx

A.

3/5(2x-3)5/3 + k

B.

6/5(2x-3)5/3 + k

C.

2x-3+k

D.

2(2x-3)+k

View Answer

67ca00ce0c643c71d77dee1f 2001
2058

If 6Pr = 6, find the value of If 6Pr+1

A.

30

B.

33

C.

35

D.

15

View Answer

67ca00ce0c643c71d77dee1f 2001
2059

Triangle SPT is the solution of the linear inequalitie

A.

2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, x ≥ 0

B.

2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, -2 ≥ x ≥ -1

C.

-2 ≥ x ≥ 2, y ≤ 0, y + 2x + 2 ≥ 0, x ≥ 0

D.

2y - x - 2 ≥ 0, y + 2x + 2 ≥ 0, y ≤ 0, x ≥ 0

View Answer

67ca00ce0c643c71d77dee1f 2001
2060

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mo>&#x2264;</mo> </math>

Find the integral values of x and y satisfying the inequality 3y + 5x( less than equal to) 15, given that y > 0, y < 3 and x > 0.

A.

(1,1), (1,2), (1,3)

B.

(1,1), (2,1), (1,3)

C.

(1,1), (3,1), (2,2)

D.

(1,1), (1,2), (2,1)

View Answer

67ca00ce0c643c71d77dee1f 2001
2061

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>p</mi> <mo>=</mo> <mn>1</mn> <mo>+</mo> <msqrt> <mn>2</mn> </msqrt> <mspace width="1mm"></mspace> <mi>a</mi> <mi>n</mi> <mi>d</mi> <mspace width="1mm"></mspace> <mi>q</mi> <mo>=</mo> <mn>1</mn> <mo>&#x2212;</mo> <msqrt> <mn>2</mn> </msqrt> <mo>,</mo> <mspace width="1mm"></mspace> <mi>e</mi> <mi>v</mi> <mi>a</mi> <mi>l</mi> <mi>u</mi> <mi>a</mi> <mi>t</mi> <mi>e</mi> <mspace width="1mm"></mspace> <mfrac> <mrow> <mo stretchy="false">(</mo> <msup> <mi>p</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;</mo> <msup> <mi>q</mi> <mrow data-mjx-texclass="ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>p</mi> <mi>q</mi> </mrow> </mfrac> </math>

Given that p = 1 + √2 and q = 1 - √2, evaluate (p2 - q2 /2pq)

A.

2(2+√2)

B.

-2(2+√2)

C.

2√2

D.

-2√2

View Answer

67ca00ce0c643c71d77dee1f 2001
2062

Find the number of ways of selecting 8 subjects from 12 subjects for an examination.

A.

490

B.

495

C.

496

D.

498

View Answer

67ca00ce0c643c71d77dee1f 2001
2063

Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3).

A.

4

B.

6

C.

3

D.

0

View Answer

67ca00ce0c643c71d77dee1f 2001
2064

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>&#x03C0;<!-- π --></mi> </mrow> </msubsup> <mfrac> <mrow> <mi>c</mi> <mi>o</mi> <msup> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>&#x03B8;<!-- θ --></mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mrow> <mi>s</mi> <mi>i</mi> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>&#x03B8;<!-- θ --></mi> </mrow> </mfrac> <mi>d</mi> <mi>&#x03B8;<!-- θ --></mi> </math>

Find the value of ∫π0(cos2θ−1/sin2θ)*dθ

A.

π

B.

π/2

C.

-π/2

D.

View Answer

67ca00ce0c643c71d77dee1f 2000
2065

In how many ways can a delegation of 3 be chosen from among 5 men and 3 women, if at least one man and at least one woman must be included?

A.

15

B.

28

C.

30

D.

45

View Answer

67ca00ce0c643c71d77dee1f 2000
2066

Evaluate (1/2 - 1/4 - 1/8 - 1/16 + ...) - 1

A.

2/3

B.

zero

C.

-2/3

D.

-1

View Answer

67ca00ce0c643c71d77dee1f 2000
2067

If the diagram is the graph of y = x2, the shaded area is

A.

64 square units

B.

126/4 square units

C.

32 square units

D.

64/3 square units

View Answer

67ca00ce0c643c71d77dee1f 2000
2068

A trader realizes 10x - x2 naira profit from the sale of x bags on corn. How many bags will give him the desired profit?

A.

4

B.

5

C.

6

D.

7

View Answer

67ca00ce0c643c71d77dee1f 2000
2069

If U = {x : x is an integer and 1 ≤ x ≤ 20 E1 = {x : x is a multiple of 3} E2 = {x : x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E2

A.

3/4

B.

3/10

C.

1/4

D.

1/20

View Answer

67ca00ce0c643c71d77dee1f 2000
2070

In the diagram above, if ∠RPS = 50°, ∠RPQ = 30° and PQ = QR, find the value of ∠PRS.

A.

80°

B.

70°

C.

60°

D.

50°

View Answer

67ca00ce0c643c71d77dee1f 2000
2071

X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.

A.

0.30

B.

0.50

C.

0.57

D.

1.80

View Answer

67ca00ce0c643c71d77dee1f 2000
2072

In the diagram above, EFGH is a circle center O. Fh is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH.

A.

16 cm

B.

20 cm

C.

26 cm

D.

32 cm

View Answer

67ca00ce0c643c71d77dee1f 2000
2073

If 31410 - 2567 = 340x, find x.

A.

7

B.

8

C.

9

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2000
2074

if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

A.

straight line

B.

a circle

C.

the bisector of angle PXQ

D.

the perpendicular bisector of PQ

View Answer

67ca00ce0c643c71d77dee1f 2000
2075

The expression ax2 + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, c respectively?

A.

1, 3, 1

B.

1, 2, 1

C.

2, 1, 1

D.

1, 1, 3

View Answer

67ca00ce0c643c71d77dee1f 2000
2076

A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?

A.

y = (3x2/)2 + 2x

B.

y = (3x2)/2 + x

C.

y = 3x2 + (x/2)

D.

y = 3x2 +2x

View Answer

67ca00ce0c643c71d77dee1f 2000
2077

In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH

A.

32cm

B.

26cm

C.

20cm

D.

16cm

View Answer

67ca00ce0c643c71d77dee1f 2000
2078

If y = 2x - sin2x, find dy/dx when x = π/4

A.

π

B.

C.

π/2

D.

-π/2

View Answer

67ca00ce0c643c71d77dee1f 2000
2079

Given that the various faces of a fair dice 1, 2, 3, 4, 5, 6 appeared 30, 43, 54, 40, 41, 32 times respectively in a single toss. Picture the figures as being represented in a simple table with number (X) against frequency (f). If a pie chart is used to depict the data, the angle corresponding to 4 is?

A.

10°

B.

16°

C.

40°

D.

60°

View Answer

67ca00ce0c643c71d77dee1f 2000
2080

Evaluate 21.05347 - 1.6324 x 0.43 to 3 decimal places

A.

20.980

B.

20.351

C.

20.981

D.

20.352

View Answer

67ca00ce0c643c71d77dee1f 2000
2081

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>2.813</mn> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <mn>1.063</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>5.637</mn> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> </mfrac> </math>

Evaluate (2.813×10−3×1.063)/(5.637×10−2) reducing each number to two significant figures and leaving your answer in two significant figures.

A.

0.056

B.

0.055

C.

0.054

D.

0.54

View Answer

67ca00ce0c643c71d77dee1f 2000
2082

Find the inverse of p under the binary operation * defined by p*q = p + q - pq, where p and q are real numbers and zero is the identity

A.

p

B.

p -1

C.

p/(p-1)

D.

p/(p+1)

View Answer

67ca00ce0c643c71d77dee1f 2000
2083

The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs?

A.

17.5 - 20.5

B.

16.5 - 19.5

C.

15.5 - 19.5

D.

15.5 - 18.5

View Answer

67ca00ce0c643c71d77dee1f 2000
2084

A bowl is designed by revolving completely the area enclosed by y = x2 - 1, y = 3 and x ≥ 0 around the axis. What is the volume of this bowl?

A.

7π cubic units

B.

15π/2 cubic units

C.

8π cubic units

D.

17π/2 cubic units

View Answer

67ca00ce0c643c71d77dee1f 2000
2085

3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.

A.

-4/3

B.

-3/4

C.

3/4

D.

4/3

View Answer

67ca00ce0c643c71d77dee1f 2000
2086

In a youth club with 94 members, 60 like modern music, and 50 like traditional music. The number of members who like both traditional and modern music is three times those who do not like any type of music. How many members like only one type of music?

A.

8

B.

24

C.

62

D.

86

View Answer

67ca00ce0c643c71d77dee1f 2000
2087

P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 60°, find angle UST.

A.

310°

B.

130°

C.

80°

D.

50°

View Answer

67ca00ce0c643c71d77dee1f 2000
2088

A predator moves in a circle of radius √2 centre (0,0), while a prey moves along the line y = x. If 0 ≤ x ≤ 2, at which point(s) will they meet?

A.

(1,1) only

B.

(1,1) and (1,2)

C.

(0,0) and (1,1)

D.

(√2,√2) only

View Answer

67ca00ce0c643c71d77dee1f 2000
2089

If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation.

A.

0

B.

2

C.

3

D.

4

View Answer

67ca00ce0c643c71d77dee1f 2000
2090

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5

A.

16

B.

14

C.

12

D.

10

View Answer

67ca00ce0c643c71d77dee1f 2000
2091

In the diagram, If < RPS = 50°, < RPQ = 30° and pq = QR, Find the value of < prs

A.

50°

B.

60°

C.

70°

D.

80o

View Answer

67ca00ce0c643c71d77dee1f 2000
2092

A man wishes to keep his money in a savings deposit at 25% compound interest so that after three years he can buy a car for N150,000. How much does he need to deposit?

A.

N112,000.50

B.

N96,000.00

C.

N85,714.28

D.

N76,800.00

View Answer

67ca00ce0c643c71d77dee1f 2000
2093

Evaluate 5-3log52 x 22log23

A.

8

B.

1(1/8)

C.

2/5

D.

1/8

View Answer

67ca00ce0c643c71d77dee1f 2000
2094

An equilateral triangle of side √3 cm is inscribed in a circle. Find the radius of the circle

A.

2/3cm

B.

2cm

C.

1cm

D.

3cm

View Answer

67ca00ce0c643c71d77dee1f 2000
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