1. The area of a square is 144 sq cm. Find the length of the diagonal.

A. 13 cm

B. 12√2 cm

C. 12 cm

D. 11√3cm

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

A. 218

B. 216

C. 215

D. 210

3. Find the principal which amount to ₦5,500 at simple interest in
5 years at 2% per

annum.

A. ₦5,000

B. ₦4,900

B. ₦4,800

D. ₦4,700

4. The sixth term of an arimethic progression is half of its twelfth
term. The first term is equal to __.

A. half of the common difference

B. double the common difference

C. the common difference

D. zero

5. Find the value of [(3.7)]

^{2}– (15.3)^{2}]^{1/}_{2 }leaving your answer correct to 4 significant figures.
A. 30.03

B. 35.00

C. 31.01

D. 30.12

6. If 126n = 86, find a positive
value for n.

A. 2

B. 4

C. 8

D. 10

A. x = 5 or x = -4

B. x = 3 or x = -5

C. x = 4 or x = -5

D. x = 0 or x = -2

8. A regular polygon is a polygon
with:

A. Equal sides with different
angles

B. Equal sides with equal angles

C. None of the above

D. All of the above

9. From the diagram below, find the
value of x

A. 114

^{1}/_{2}˚
B. 113

^{1}/_{2}˚
C. 112

^{1}/_{2}˚
D. 115

^{1}/_{2}˚
10. From the diagram below find
the value of x, if |AO|
= 5cm. and |BO|
= 13cm to the nearest
whole number.

A. 12 cm

B.
8 cm

C.
10 cm

D.
14 cm

Use the diagram below to answer question (11) and (12)

11. Find the value of angle z

A. 200°

B. 160°

C. 60°

D. 80°

12. Find the value of angle y.

A. 140°

B. 120°

C. 130°

D. 110°

13. Determine the basic
solutions of 2cos

^{2}Ɵ + cos Ɵ — 1 = 0
A. ᴨ

B. 2ᴨ

C.

^{ᴨ}/_{3}
D. nᴨ

Use the given figure below to
answer question (14)

14. What is the value of length |PQ|

A. 6.5 cm

B. 6 cm

C. 5.5 cm

D. 6.2 cm

15. Find the median of 6,5,9,8,4,7,2,8,9,4

A. 6

B. 6.5

C. 7

D. 7.5

16. Ogive is defined
as

A. Smooth curve obtained by
plotting cumulative frequency against upper class

boundary

B. Smooth curve
obtained by plotting cumulative frequency against lower class boundary

C. Smooth curve
obtained by plotting cumulative frequency against the mean.

D. None of the above

17. Find the distance
between the points A(-1, 4)
and B(-2, -3).

A. 25√2

B. 5√2

C. 50√2

D. 50

18. Evaluate |AC| the triangle with
vertex A(-1, 2), B(1, -3) and C(3,2)

A. 16

B. 13

D. 4

^{1}/_{2}
D. 17

19. Find the area of triangle
ABC with vertices A(2, 1),
B(2, 4) and C(-2, 1)

A. 6

B. 4

C. 8

D. 5

21. Find the equation of the line with gradient -

^{1}/_{3 }and passing through (2, -1)
A. x - 3y - 1 = 0

B. x - 3y + 1 = 0

C. X + 3y + 1 = 0

D. x- 3y + 2 =0

22. Find equation of the line through
(2,3) and is perpendicular to the
line 2x -3y +2=0

A.2y – 3x - 12 = 0

B. 2y + 3x - 12 = 0

C. 2y + 3x + 12 = 0

D. 3x - 2y + 12 = 0

A. 0.01285

B. 0.1286

C. 0.1285

D. 0.01286

24. A trader bought goats for ₦4000
each and sold all of them for ₦180,000 at a loss 25%. How many goats did he buy?

A. 50

B. 60

C. 36

D. 45

25. If Musa scored 75 in
Biology instead of 57, average mark in four subjects would have been 60. What was his
total mark?

A. 282

B. 240

C. 222

D. 210

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

A. 20

B. 30

C. 48

D. 60

27.In the diagram-above, what is the perimeter of the equilateral triangle ABC

A. 3

B. 9

C. 10

D. 30

28. A pie chart of total
number' of students in a school has a sector 35° representing 14 students. How many students are there in
the school together?

A. 200

B. 140

C. 144

D. 250

29. If a block of height 2.5 cm
represents 100 goats, how high should the block be to represent 170 goats.

A. 4.50 cm

B. 5.00 cm

C. 4.00 cm

D. 4.25 cm

30. The sum of 10

^{th}terms of an AP is 30 and its 12^{th}term is 36. Find the first term and the common difference.
A. 19.77, 5.07

B. -19.77, 5.07

C. 19.77. -5.07

D -19.77, -5.07

31. If T varies inversely
proportional to P and directly to U, formulate the problem

A. T =

^{K}/_{P}+U
B. T α

^{1}/_{P}
C. T α LI

D. T =

^{K}/_{P}+ AU
32. Find the equation of
the tangent to the curve y = x

^{3}at the point (2, 8)
A. 12x + y — 16 = 0

B. 12x — 2y + 16 = 0

C. 12x — y — 16 = 0

D. 12x — y + 16 = 0

33. A hunter 1.6m tall, views a
bird on top of a tree at an angle 45˚. If the

between the hunter and the tree
is 10.4m, find the height
of the tree.

A. 12.0 m

B. 10.4 m

C. 9.0 m

D. 8.8 m

34. The sum of the interior
angles of a polygon is 20 right angles. How many sides the polygon have?

A. 40

B. 20

C. 10

D. 12

35. The triangee PQR above is

A. an isosceles triangle

B. an obtuse-angled triangle

C. a scalene triangle

D. an equilateral triangle

36 Find the sstandard deviation of the numbers 1, 7, 6, 3, 4, 5,
2, 8, 9

A. 6

B. √6

C. 7

D. √7

37. Find the arithmetic mean of the following numbers 30, 32, 34,
36, 38, 40, 42

A. 34

B. 38

C. 36

D. 37

38. Five years ago, a father
was 3 times as old as his son. Now, their combined ages amount to 110 years. What is
the current age of the father is?

A. 75 years

B. 60 years

C. 98 years

D. 80 years

39. Find the product of (2√y— 3y) and (3y + 2√y)

A. 4y + y

^{2}
B. 4y + 9y

^{2}
C. 4y - 9y

^{2}
D. -4y - 9y

^{2}
40. 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

**ANSWERS**

1. B

2. D

3. A

4. A

5. C

6. C

7. A

8. B

9. C

10. D

11. C

12. B

13. C

14. B

15. B

16. A

17. B

18. C

19. D

20. B

21. C

22. B

23. D

24. B

25. B

26. D

27. D

28. C

29. D

30. B

31. D

32. C

33. B

34. D

35. A

36. B

37. D

38. D

39. C

40. B

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