SCHOOLS
YEAR 9 MOCK 1 UNIFIED EXAMINATION
2017/2018 ACADEMIC SESSION
SUBJECT: MATHEMATICS
TIME: 1HR: 20MINS
PAPER 1
INSTRUCTIONS
This section consists of PAPER 1 only. Answer PAPER 1 on your objective test answer sheet
by shading the correct options from letter A-E .
PAPER 1: OBJECTIVE TEST (60 MARKS)
Answer all questions from this part.
1. Express 0.00023 in standard form
A. 2.3 x 104
B. 23 x 104
C. 2.3 x 10-4
D. 23 x 10-4
E. 23 x 10-6
2. Express 300 as a product of its prime factors in index form.
A. 22 x 31 x 52
B. 22 x 32 x 51
C. 22 x 32 x 52
D. 22 x 33 x 5
E. 22 x 33
3. The sum of the square roots of 9 and 25 is …
A. 3
B. 5
C. 8
D. 15
E. 4
4. Find the least number which can be subtracted from 28 for it to become a perfect square.
A. 5
B. 4
C. 3
D. 2
E. -2
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5. Write 0.000476 in standard form
A.
B.
C.
D.
E.
4.76 x 10-6
4.76 x 10-4
4.76 x 105
4.76 x 104
4.76 x 102
6. What is the highest common factor of 24, 36, 72 and 108
A.
B.
C.
D.
E.
12
15
18
24
13
1
1
7. Solve the equation 22 = 𝑦
A.
B.
C.
D.
1
5
2
5
3
5
4
5
E. 1
8. Find the smallest number by which 2 x 2 x 3 x 3 x 3 x 7 must be multiplied so that their
product is a perfect square.
A.
B.
C.
D.
E.
17
21
28
36
4
9. Consider the sample ax2 = 1, a, x, ax, x2, ax2. Then find 2bc
A.
B.
C.
D.
E.
2|Page
1, 2, c, 2b, 2c, 2bc
1, 2, b, 2b, 2c, 2bc
1, 2, b, c, 2b, 2c, 2bc
1, 2, b, c, 2b, 2c, bc, 2bc
1, 2, b, c, 2b, 2c, bc
10. Find the product of the HCF of 16, 72 and 104 and the HCF of 12, 24 and 30
A.
B.
C.
D.
E.
32
48
54
62
50
75
11. Find the square root of 108
A.
B.
C.
D.
E.
3
4
3
5
5
6
5
8
1
2
12
12. Change 25 to decimal
A.
B.
C.
D.
E.
0.52
0.50
0.49
0.25
0.48
13. Wale can either pay ₦3750.00 for a textbook or ₦345.00 monthly instalments for 11
months. How much does he save by paying promptly?
A. ₦84.00
B. ₦63.00
C. ₦50.00
D. ₦52.00
E. ₦45.00
14. A man moves from Lagos to Ibadan covering 123.345 km. Correct the distance to 2
decimal places.
A. 123.36
B. 123.35
C. 123.34
D. 124.01
E. 123.30
3|Page
15. Fill in the box:
A.
B.
C.
D.
E.
19.95
1 d.p
19.9
20.0
20.1
19.1
20.1
16. Simplify (-3) x (-2) x (-8)
A.
B.
C.
D.
E.
+48
-34
+13
-13
-48
17. Factorize 9𝑥 + 3y
A.
B.
C.
D.
E.
3(9𝑥 + y)
3(3 + y)
3(x – y)
3(3𝑥 + 3y)
3(3𝑥 + y)
18. The expression (2a – 3)2 can also be written as
A.
B.
C.
D.
E.
(2a – 3)(3 – 2a)
(2a + 3)(2a + 3)
(2a – 3)(2a – 3)
(a - 3)(2a +3)
(2a + 3)(2a – 3)
19. Simplify
A.
B.
C.
D.
E.
4|Page
𝑎
4
𝑎
8
2𝑎
4
𝑎
16
2𝑎
5
5𝑎
8
-
3𝑎
8
20. Fill in the box:
A.
B.
C.
D.
E.
𝑎𝑥
𝑥y
-xy
+y2
–y2
21. If 7 is added to a certain number and then divide result by 5, the final result is 4. What is
the original number?
A. 10
B. 11
C. 12
D. 14
E. 13
22. If a certain number is doubled, then divided by 7, the final result is 2, what is the
number?
A.
B.
C.
D.
E.
5|Page
8
7
6
9
5
23. Which of the points P, Q, R, S in the graph has coordinates (-2, 3)?
A. P
B. Q
C. T
D. R
E. S
24. Find the coordinate of point Q on the Cartesian plane.
A. (4, -3)
B. (-3,4)
C. (-4, 3)
D. (-4,-3)
E. (3, 4)
25. A Kite is a ….
A.
B.
C.
D.
E.
6|Page
triangle
pentagon
quadrilateral
rectangle
hexagon
26. Find the size of each interior angle of a regular pentagon
A. 108o
B. 120o
C. 128o
D. 135o
E. 1500
27. What is the chance of pregnant woman giving birth to a male child?
A.
B.
C.
D.
E.
1
5
1
4
1
3
2
3
1
2
28. A fair die is thrown, what is the probability of obtaining an even number?
A. 1
B.
C.
D.
E.
1
2
1
3
2
3
1
6
29. Express 0.00901 in standard form
A.
B.
C.
D.
E.
7|Page
9.01 x 10-3
9.01 x 10-2
9.01 x 10-1
9.01 x 100
9.01 x 104
30. Which of the following fraction is NOT a perfect square?
A.
B.
C.
D.
E.
121
400
120
150
225
400
144
256
169
225
31. Express 3 x 10-4 in ordinary form
A.
B.
C.
D.
E.
0.0003
0.003
0.03
0.000003
0.3
32. Convert 0.00753 to standard form
A.
B.
C.
D.
E.
7.53 x 100
7.53 x 10-1
7.53 x 10-5
7.53 x 10-2
7.53 x 10-3
33. A woman bought a dozen of yam for ₦440 and sold them at ₦44 each. Find her profit
percent.
A.
B.
C.
D.
E.
15%
20%
25%
30%
50%
34. Rounded off 12256 to 3 significant figures gives …
A. 12300
B. 12260
C. 1235000
D. 12250
E. 12200
8|Page
35. Evaluate 45 − (+14)
A. -9
B. -19
C. +19
D. +9
E. +59
3𝑦
36. Solve the equation: 5 =
−1
3
5
A. y = - 9
9
B. y = - 5
3
C. 𝑦 = − 4
5
D. y = - 9
9
E. y = - 5
3
37. Simplify: 6 - 2𝑥
A.
B.
C.
D.
E.
12𝑥−3
2𝑥
3𝑥−3
2𝑥
9𝑥−30
2𝑥
12𝑥+3
2𝑥
2𝑥
5
38. Name the figure below accordingly
A.
B.
C.
D.
E.
9|Page
Kite, Parellogram, Triangle
Triangle, Parellogram, Kite
Triangle, Kite, Parellogram
Square, circle, triangle
Triangle, Rhombus, Parellogram
39. If a boy is likely to pass his examination with a probability of 0.76. What is the
probability that he is likely to fail?
A. 0.24
B. 0.42
C. 0.67
D. 0.66
E. 0.76
40. The height of a triangle is twice its base. If its area is 121cm2, find its base
A. 10cm
B. 11cm
C. 20cm
D. 22cm
E. 24cm
𝑥
41. Simplify
A.
B.
C.
D.
E.
2
𝑥
+3
2𝑥
5
𝑥2
6
𝑥
2
5𝑥
6
𝑥
5
42. If 0 = 7(𝑥 – 3) find the value of 𝑥
4
A. 𝑥 = 7
1
B. 𝑥 = 2 3
C. 𝑥 = 3
D. 𝑥 = 4
E. 𝑥 = -3
10 | P a g e
2
1
43. If 14 is added to 3 of a number 𝑥. The result is 1 4 times the original number. Which of
the following represents the statement?
2
1
A. (14 + 3) 𝑥 = 1 4 𝑥
2
1
2
1
3
1
B. 14 + 3 𝑥 = 1 4 𝑥
C. 14 + 3 𝑥 = 1 4
D. 14 + 2 𝑥 = 1 4
2
1
E. 14 + 3 = 1 4
44. A television set cost thrice as much as a radio set, if the cost of the television and radio
set is ₦6,000. How much is the television set?
A.
B.
C.
D.
E.
45.
Find the value of a if 3a+7 = 4a-5
A.
B.
C.
D.
E.
46.
₦4, 800
₦4, 000
₦4, 500
₦3, 600
₦1, 500
2
3
4
12
-12
The product of two numbers is 7 1/5. If one of the numbers is 9, find the other
A.
B.
C.
D.
E.
36
4/5
36/5
9/5
5/9
47. The highest common factor of 10a2b and 8ab is
A.
B.
C.
D.
E.
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80a2b
2ab
5a
2a
4ab
48. What is the value of the digit 5 in the number 624.95?
A.
B.
C.
D.
E.
5 hundreds
5 tens
5 units
5 tenths
5 hundredths
49. If 0.68 is expressed as a fraction in its lowest terms, its denominator will be.
A.
B.
C.
D.
E.
17
25
34
50
68
50. Which one of the following is not a solid?
A. Cube
B. Cone
C. Cylinder
D. Trapezium
E. Prism.
The marks scored by some students in a mathematics test are 4, 6, 7, 8, 9, 9, 4 and 9.
Use these data to answer questions 51-54.
51. Find the mean score.
A. 5
B. 6
C. 7
D. 8
E. 9
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52. What is the median score?
A. 7
B. 7.5
C. 8
D. 9
E. 6
53. Find the modal score
A. 9
B. 8
C. 7
D. 4
E. 6
54. Find the range
A. 2
B. 3
C. 4
D. 5
E. 6
55. Solve the equation 3𝑥 2 + 12 = 48 + 2𝑥 2
A. +6 or -6
B. +4 or -6
C. +6 or -4
D. +3 or -3
E. -6 or +3
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56. Calculate the radius of a circle whose area is 38 ½ cm2
A. 77cm
B. 19 ¼ cm
C. 14cm
D. 7cm
E. 3 ½ cm
57. Simplify 5a-3b-a+2b
A. 6a+5b
B. 6a-b
C. 4a+b
D. 4a-5b
E. 4a-b
58. How many faces has a cube?
A. 4
B. 6
C. 8
D. 12
E. 16
59. Subtract (3x2 + 3x – 6) from (2x – 5).
A. -3x2 – x + 1
B. -3x2 + 5x – 11
C. 3x2 + x – 1
D. 3x2 + 3x – 1
E. 3x2 + x – 11
60. Change the number 10010 in base two to base ten
A. 12
B. 14
C. 16
D. 18
E. 20
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15 | P a g e
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