- 1. Convert 142 to base six
A) 543 six
B) 354 six
C) 322six
D) 453 six
- 2. Express 110111 two to base ten.
A) 55 ten
B) 56 ten
C) 65 ten
D) 555 ten
- 3. Subtract 10 two + 11two + 11two
A) 01001two
B) 111two
C) 1000 two
D) 10111two
- 4. Subtract 111two from 11110two
A) 111two
B) 1011two
C) 10010two
D) 10111two
- 5. Find the positive positive difference between 3¾ and 2⅔.
A) 12/13
B) 15/13
C) 13/15
D) 13/12
- 6. Find the sum of 29, the product of 2 and 9 and the difference between 2 and 9
A) 65
B) 45
C) 54
D) 35
- 7. Remove brackets from -9(-2k-3r).
A) -7k- 6r
B) 18k+27r
C) 27k+8r
D) 11k-12r
- 8. Find the HCF of 10ax² and 14a²x
A) 7ax
B) 4abc
C) 2ax
D) 10abc
A) (p+ rs)
B) p(r² + s)
C) s²(p-r)
D) Pr(r + s)
A) c² - 3c +2
B) c² + 3c +2
C) c² - 5c + 4
D) c² - 3c - 2
- 11. Factorize x² + 10x +25
A) (x-5)(x+5)
B) (x+5)(x-2)
C) (x²+10)(x+5)
D) (x-5)(x-5)
- 12. Solve the equation h/1=18+5h /7
A) 7
B) 9
C) -9
D) 20
- 13. Use the information below to answer questions 13 and 14 solve simultaneously.a=5-2b and 5a + 2b =. Find a
A) -1
B) 3
C) 1
D) -3
- 14. Use the information below to answer questions 13 and 14 solve simultaneously.a=5-2b and 5a + 2b =. Find b.
A) 3
B) 1
C) -1
D) 3
- 15. The tangent of 32½ equal to?
A) 0.8229
B) 0.8214
C) 0.2309
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) Q= 0.573P
B) P= 3.75Q
C) P= 0.573Q
D) Q= 0.375P
- 18. If t varies directly as s and t= ½. When s= 4 find when s= 6
A) ⁴/3
B) ¾
C) ⅛
D) ⁶/9
- 19. A number is multiplied by 5 and the result is twice the number added to 2. Find the number.
A) ⅖
B) 3½
C) 1½
D) ⅔
- 20. Find the value of m if ⅗m + m/2 = 4/1 +⅖
A) 4
B) 3
C) 5
D) 6
 - 21. Find the value of x in the diagram above.
A) 25°
B) 15°
C) 30°
D) 20°
- 22. How many sides has a regular polygon whose sum of interior angles is 540°
A) 4
B) 5
C) 7
D) 6
- 23. Evaluate 1⅖ +¾ and give your answer to 1 significant figure.
A) 3
B) 7.2
C) 2.5
D) 2
- 24. Given that 7:y = 22: 6. Find the value of y
A) 2
B) 16
C) 25
D) 6
- 25. If 25% of a number is 75, find the number.
A) 6.3025×10⁴
B) 6302.5×10³
C) 630.25×10²
D) 63.025×10¹
A) ²¹x/13
B) ¹³x/21
C) ²¹x/11
D) ¹¹x/21
A) 9pr
B) -9pr
C) 9r
D) -9pq
- 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) ⅕
B) ⅓
C) ⅒
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) x²
B) 2y²
C) 25p²
D) 4d²
- 32. If 2x + y = -7 and 3x= 6+4y
A) 5
B) -1
C) 6
D) 1
- 33. A fair die is rolled once. What is the probability of obtaining a number greater than 2.
A) ½
B) ⅚
C) ⅘
D) ⅔
- 34. Evaluate -2x²/x²-y², when x=-2 and y=3
A) -1⅗
B) 1⅗
C) -⅘
D) 1
 - 35. Use the table above to find the mode of the distribution.
A) 48
B) 55
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) ½
B) 1
C) ⅙
D) ¼
- 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) 19
C) 32
D) 20
- 38. Calculate/DC/ using the similar shapes given below
A) 5cm
B) 9cm
C) 4cm
D) 6cm
- 39. Find the value of x in the figure below
A) 6m
B) 7m
C) 8.90m
D) 8.99m
- 40. Express 108 as a product of its prime factors in index form
A) 2²×3⁴
B) 2¹×3³
C) 2²×3⁴
D) 2²×3³
- 41. What is the multiplicative inverse of-⁴/6
A) -³/2
B) ⅔
C) ⅙
D) -⅔
- 42. Express 0.03076 to three significant figures.
A) 0.0300
B) 0.3008
C) 0.3080
D) 0.0308
- 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) #5,505
D) #4,500
- 45. Find the smallest number by which 12 can be multiplied to give a perfect square
A) 4
B) 2
C) 3
D) 5
- 46. Which of the following fractions is a recurring decimals?
A) ⅛
B) ⅒
C) ⅓
D) ⅑
- 47. If x is directly proportional to y and x= 4, when y= 12. Find the value of x when y = 24
A) 12
B) 4
C) 8
D) 6
- 48. Bose saves #10,000.00 at 10% per annum compound interest. How much will she collect after 2 years?
A) #2,000
B) #1,000
C) #1,100
D) #12,100
- 49. What is the supplementary angle of 45°?
A) 90°
B) 100°
C) 35°
D) 135°
- 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) 6
B) 4
C) 5
D) 7
- 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) 3.6
B) 5.6
C) 4.8
D) 8.4
- 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) 6.5
B) 4.5
C) 5.5
D) 5.4
- 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) 4
B) 2
C) 7
D) 5
 - 54. Find x in the figure above
A) 100°
B) 20°
C) 60°
D) 80°
- 55. Express ¹/16 in standard form
A) 6.25 ×10-2
B) 6.25 ×10²
C) 6.25 ×10⁶
D) 6.25 ×10³
- 56. Simplify ⅚ × 4⅔ ÷ 2⁷/9
A) ⅝
B) 2½
C) ⅖
D) 1⅖
- 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) 190°
D) 97°
- 58. Make c the subject of formula ¹/a = ¹/b +¹/c
A) b-a/ab
B) ab/b-a
C) ab/b+a
D) b+a/ab
- 59. The sum of two consecutive even numbers is 34. Find the smallest to number.
A) 14
B) 20
C) 16
D) 12
- 60. Express 63025 in standard form.
A) 6302.5 ×10¹
B) 6.3025 ×10⁴
C) 63.025 ×10³
D) 630.25 ×10²
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