- 2. What is the value of 247ten in base 2?
A) 11111110
B) 11110011
C) 1111011
D) 11110111
- 3. The sum of 3 consecutive numbers is −48. Which set is correct?
A) +13, +12, −16
B) +13, +18, −8
C) 17, −16, −15
D) 13, −20, −18
- 4. Find the product of the square of 1/2 and the sum of 13 and 19
A) 4
B) 8
C) 13
D) 32
- 5. The exact value (285)² - (215)²
A) 3500
B) 57000
C) 7500
D) 53000
A) 6/15
B) 14/3
C) 6/5
D) 5/2
- 7. The coefficient of x in the expansion of (x - 2) (x + 9) is
A) 7
B) 2
C) 9
D) 18
- 8. Find the smallest number by which 350 must be multiplied to give a perfect square
A) 2
B) 14
C) 5
D) 3
- 9. Find the sum of 300ten and 211ten in base 2
A) 521
B) 511
C) 127
D) 171
- 10. What is the HCF of 48 and 45?
A) 3
B) 9
C) 12
D) 5
- 11. Find the product of 14 and 4, subtract 24 and then divide by 8
A) 7
B) 4
C) 5
D) 8
- 12. From a class consisting of 27 boys and 23 girls, a person is picked at random, what is the probability that the person is a girl?
A) 23/50
B) 27/50
C) 23/27
D) 1/50
- 13. Calculate the compound interest on ₦60000 for 2 years at 8% per annum.
A) #6984
B) #7984
C) #9984
D) #8984
- 15. If I subtracted 23 from a certain number and divided the result by 7, my answer is 3. What is the original number?
A) 41
B) 42
C) 43
D) 44
- 16. Express 7700 in standard form.
A) 7.7 × 10⁰
B) 7.7 × 10³
C) 7.7 × 10⁴
D) 7.7 × 10¹
- 17. The product of a number and its successor is six. What is the number?
A) 2
B) 4
C) 5
D) 3
- 18. Calculate the third angle of an isosceles triangle whose base angles are 48°.
A) 76°
B) 84°
C) 42°
D) 96°
- 19. What is the value of t when 7t + 6 = 18 + 4t?
A) 9
B) 8
C) 4
D) 7
- 20. Calculate the perimeter of a rectangle of length 8 cm and breadth 5/2 cm.
A) 20cm
B) 13/2cm
C) 21cm
D) 24cm
- 21. If the ratio of a number to 6 is equal to 4 : 3, what is the number?
A) 6
B) 4
C) 8
D) 3
- 22. Find the product of (x + 2) and (x − 3).
A) x² − 5x + 6
B) x² − 2x − 6
C) x² − 3x
D) x² − x − 6
- 23. The sum of two numbers is 71 and their difference is 7, what are the numbers?
A) 27, 31
B) 39, 32
C) 37, 34
D) 25, 36
- 24. Which of the following is not a perfect square?
A) 2a²
B) 4y²
C) 16b²
D) 36
- 25. Find x and y in the simultaneous equations:
x + y = 4 and 3x + y = 8.
A) x = 2, y = 2
B) x = −2, y = 2
C) x = −2, y = −2
D) x = 3, y = 1
- 26. Solve the inequalities 3x + 2 ≥ 4x − 6.
A) x ≤ 8
B) x ≥ −6
C) x ≤ −8
D) x > −4
- 27. What is the square root of 12¼?
A) 7/2
B) 5/2
C) 7/4
D) 3/2
- 28. What number must be multiplied by 112 to make a perfect square?
A) 5
B) 3
C) 7
D) 2
- 29. Remove the brackets in (q + 3)(2q + 3).
A) 2q² − 9q + 6
B) 2q + 9q + 9
C) q + 5q + 9
D) 2q² + 9q + 9
- 30. If a certain number x is subtracted from −3. The result is less than 5. Find the range of the value of x
A) x < 2
B) x > 2
C) x < −2
D) x < −2
- 31. If x varies directly as y and inversely as z. What is the relationship between x, y and z?
A) y = kx/z
B) x = kz/y
C) y = kz/y
D) x = ky/z
- 32. When 40 is divided by the product of k and 2, the result is 5, find the value of k.
A) 3
B) 2
C) 1
D) 4
- 33. The radius of a cylindrical container is 30 cm and the height is 35 cm. Calculate its curved surface area. (Take π = 22/7)
A) 8800 cm²
B) 7800 cm²
C) 9800 cm²
D) 6600 cm²
- 34. Express 52 as a product of its prime factors in index form.
A) 2 × 26²
B) 2 × 13²
C) 2² × 13¹
D) 2 × 2 × 13
- 35. Find the cube root of 27b³c³.
A) 3b²c
B) 3bc
C) 3bc²
D) 3b²c²
- 36. If two fair dice are tossed once, how many elements are contained in the sample space?
A) 36
B) 46
C) 16
D) 26
- 37. What is the probability of getting 4 when a die is thrown once?
A) 1/3
B) 1/2
C) 1/6
D) 1/4
- 38. Four students in a secondary school obtained the following scores in a test: 20, 28, 36 and 48.
A) 26
B) 33
C) 20
D) 24
- 39. Express 180 minutes in degree.
A) 4°
B) 6°
C) 3°
D) 5°
- 40. If y varies directly as x and when y = 3, x = 2.
What is the value of y when x = 12?
A) 16
B) 14
C) 20
D) 18
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