- 1. Convert 142 to base six
A) 453 six
B) 322six
C) 543 six
D) 354 six
- 2. Express 110111 two to base ten.
A) 55 ten
B) 56 ten
C) 555 ten
D) 65 ten
- 3. Subtract 10 two + 11two + 11two
A) 111two
B) 10111two
C) 1000 two
D) 01001two
- 4. Subtract 111two from 11110two
A) 10010two
B) 1011two
C) 10111two
D) 111two
- 5. Find the positive positive difference between 3¾ and 2⅔.
A) 13/12
B) 12/13
C) 15/13
D) 13/15
- 6. Find the sum of 29, the product of 2 and 9 and the difference between 2 and 9
A) 35
B) 65
C) 54
D) 45
- 7. Remove brackets from -9(-2k-3r).
A) 11k-12r
B) -7k- 6r
C) 27k+8r
D) 18k+27r
- 8. Find the HCF of 10ax² and 14a²x
A) 4abc
B) 7ax
C) 10abc
D) 2ax
A) Pr(r + s)
B) s²(p-r)
C) p(r² + s)
D) (p+ rs)
A) c² - 5c + 4
B) c² + 3c +2
C) c² - 3c +2
D) c² - 3c - 2
- 11. Factorize x² + 10x +25
A) (x²+10)(x+5)
B) (x-5)(x+5)
C) (x-5)(x-5)
D) (x+5)(x-2)
- 12. Solve the equation h/1=18+5h /7
A) 7
B) -9
C) 20
D) 9
- 13. Use the information below to answer questions 13 and 14 solve simultaneously.a=5-2b and 5a + 2b =. Find a
A) 3
B) 1
C) -3
D) -1
- 14. Use the information below to answer questions 13 and 14 solve simultaneously.a=5-2b and 5a + 2b =. Find b.
A) 1
B) 3
C) 3
D) -1
- 15. The tangent of 32½ equal to?
A) 0.8214
B) 0.2309
C) 0.8229
D) 0.6371
- 16. Find the angle whose tangents is 0.9325
A) 31°
B) 34°
C) 13°
D) 43°
- 17. P varies directly as Q and P = 45 and Q= 12. Find the relationship between P and Q.
A) P= 0.573Q
B) Q= 0.375P
C) P= 3.75Q
D) Q= 0.573P
- 18. If t varies directly as s and t= ½. When s= 4 find when s= 6
A) ⁶/9
B) ¾
C) ⁴/3
D) ⅛
- 19. A number is multiplied by 5 and the result is twice the number added to 2. Find the number.
A) ⅖
B) ⅔
C) 1½
D) 3½
- 20. Find the value of m if ⅗m + m/2 = 4/1 +⅖
A) 3
B) 6
C) 5
D) 4
 - 21. Find the value of x in the diagram above.
A) 25°
B) 30°
C) 20°
D) 15°
- 22. How many sides has a regular polygon whose sum of interior angles is 540°
A) 5
B) 4
C) 6
D) 7
- 23. Evaluate 1⅖ +¾ and give your answer to 1 significant figure.
A) 2
B) 7.2
C) 3
D) 2.5
- 24. Given that 7:y = 22: 6. Find the value of y
A) 16
B) 2
C) 25
D) 6
- 25. If 25% of a number is 75, find the number.
A) 630.25×10²
B) 6302.5×10³
C) 63.025×10¹
D) 6.3025×10⁴
A) ²¹x/13
B) ²¹x/11
C) ¹¹x/21
D) ¹³x/21
A) 9pr
B) -9pq
C) 9r
D) -9pr
- 28. If a number is chosen at random from the number 2,3,5,6,7,8,9,10. What is the probability that it is a multiple of 3?
A) ⅒
B) ⅕
C) ⅓
D) ⅝
- 29. Expand (4p - q)(3p-3q)
A) 12p²+15pq+3q²
B) 12p²-15pq-3q²
C) 12p²+15pq-3q²
D) 12p²- 15pq +3q²
- 30. Which of the following is not a perfect square?
A) 4d²
B) x²
C) 2y²
D) 25p²
- 32. If 2x + y = -7 and 3x= 6+4y
A) 6
B) -1
C) 1
D) 5
- 33. A fair die is rolled once. What is the probability of obtaining a number greater than 2.
A) ⅔
B) ⅚
C) ½
D) ⅘
- 34. Evaluate -2x²/x²-y², when x=-2 and y=3
A) 1⅗
B) -⅘
C) -1⅗
D) 1
 - 35. Use the table above to find the mode of the distribution.
A) 55
B) 48
C) 50
D) 53
- 36. The probability that Ayo will pass an examination is ¾. What is the probability of failing the same exam
A) 1
B) ½
C) ¼
D) ⅙
- 37. The scores of selected students in a quiz competition are given as 22, 28, 35,24,27,32,33,20 and 40. What is the average score.
A) 29
B) 20
C) 19
D) 32
- 38. Calculate/DC/ using the similar shapes given below
A) 9cm
B) 5cm
C) 4cm
D) 6cm
- 39. Find the value of x in the figure below
A) 7m
B) 6m
C) 8.90m
D) 8.99m
- 40. Express 108 as a product of its prime factors in index form
A) 2²×3⁴
B) 2²×3³
C) 2²×3⁴
D) 2¹×3³
- 41. What is the multiplicative inverse of-⁴/6
A) ⅙
B) ⅔
C) -⅔
D) -³/2
- 42. Express 0.03076 to three significant figures.
A) 0.3008
B) 0.0308
C) 0.3080
D) 0.0300
- 43. What is the bill of a house that consumed 1000 units of electricity, if #1000 is charged for first 100units the remaining units at #5.00 per units
A) #5,000
B) #5,500
C) #4,500
D) #5,505
- 45. Find the smallest number by which 12 can be multiplied to give a perfect square
A) 2
B) 4
C) 5
D) 3
- 46. Which of the following fractions is a recurring decimals?
A) ⅓
B) ⅑
C) ⅒
D) ⅛
- 47. If x is directly proportional to y and x= 4, when y= 12. Find the value of x when y = 24
A) 6
B) 8
C) 4
D) 12
- 48. Bose saves #10,000.00 at 10% per annum compound interest. How much will she collect after 2 years?
A) #12,100
B) #1,000
C) #1,100
D) #2,000
- 49. What is the supplementary angle of 45°?
A) 35°
B) 135°
C) 100°
D) 90°
- 50. The following are scores obtained by students in a physics test: 2,2,5,2,6,3,8,7,9,4. Use the information to answer questions 51- 54. Find the range of the set of scores
A) 7
B) 6
C) 5
D) 4
- 51. The following are scores obtained by students in a physics test: 2,2,5,2,6,3,8,7,9,4. Use the information to answer questions 51- 54. Calculate the mean score
A) 5.6
B) 8.4
C) 4.8
D) 3.6
- 52. The following are scores obtained by students in a physics test: 2,2,5,2,6,3,8,7,9,4. Use the information to answer questions 51- 54. What is the median score?
A) 5.5
B) 4.5
C) 5.4
D) 6.5
- 53. The following are scores obtained by students in a physics test: 2,2,5,2,6,3,8,7,9,4. Use the information to answer questions 51- 54. Find the mode.
A) 5
B) 2
C) 7
D) 4
 - 54. Find x in the figure above
A) 100°
B) 20°
C) 80°
D) 60°
- 55. Express ¹/16 in standard form
A) 6.25 ×10³
B) 6.25 ×10²
C) 6.25 ×10⁶
D) 6.25 ×10-2
- 56. Simplify ⅚ × 4⅔ ÷ 2⁷/9
A) ⅖
B) ⅝
C) 1⅖
D) 2½
- 57. Three lines meet at a point, if the sum of two angles formed is 163°, the other angle is?
A) 197°
B) 180°
C) 97°
D) 190°
- 58. Make c the subject of formula ¹/a = ¹/b +¹/c
A) ab/b+a
B) ab/b-a
C) b+a/ab
D) b-a/ab
- 59. The sum of two consecutive even numbers is 34. Find the smallest to number.
A) 20
B) 14
C) 12
D) 16
- 60. Express 63025 in standard form.
A) 6.3025 ×10⁴
B) 630.25 ×10²
C) 63.025 ×10³
D) 6302.5 ×10¹
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