PES JS 3 Maths (Objective) Mock 1 Exam 2025/2026
  • 1. Simplify 16/25 of 5/2
A) 3
B) 7/4
C) 8/5
D) 11/2
  • 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, −20, −18
B) +13, +18, −8
C) 17, −16, −15
D) +13, +12, −16
  • 4. Find the product of the square of 1/2 and the sum of 13 and 19
A) 4
B) 13
C) 32
D) 8
  • 5. The exact value (285)² - (215)²
A) 3500
B) 53000
C) 7500
D) 57000
  • 6. If 6/5=3/d, then d =
A) 5/2
B) 6/5
C) 6/15
D) 14/3
  • 7. The coefficient of x in the expansion of (x - 2) (x + 9) is
A) 7
B) 18
C) 9
D) 2
  • 8. Find the smallest number by which 350 must be multiplied to give a perfect square
A) 5
B) 14
C) 2
D) 3
  • 9. Find the sum of 300ten and 211ten in base 2
A) 511
B) 521
C) 171
D) 127
  • 10. What is the HCF of 48 and 45?
A) 12
B) 5
C) 9
D) 3
  • 11. Find the product of 14 and 4, subtract 24 and then divide by 8
A) 4
B) 8
C) 7
D) 5
  • 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) #7984
B) #6984
C) #9984
D) #8984
  • 14. Simplify 5/2d + 7/2d
A) 4/d
B) 0/d
C) 1/d
D) 6/d
  • 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) 43
B) 42
C) 41
D) 44
  • 16. Express 7700 in standard form.
A) 7.7 × 10¹
B) 7.7 × 10³
C) 7.7 × 10⁴
D) 7.7 × 10⁰
  • 17. The product of a number and its successor is six. What is the number?
A) 5
B) 2
C) 3
D) 4
  • 18. Calculate the third angle of an isosceles triangle whose base angles are 48°.
A) 76°
B) 42°
C) 96°
D) 84°
  • 19. What is the value of t when 7t + 6 = 18 + 4t?
A) 9
B) 7
C) 4
D) 8
  • 20. Calculate the perimeter of a rectangle of length 8 cm and breadth 5/2 cm.
A) 13/2cm
B) 20cm
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) 8
C) 3
D) 4
  • 22. Find the product of (x + 2) and (x − 3).
A) x² − 2x − 6
B) x² − 3x
C) x² − 5x + 6
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) 25, 36
C) 37, 34
D) 39, 32
  • 24. Which of the following is not a perfect square?
A) 16b²
B) 4y²
C) 2a²
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 = 3, y = 1
C) x = 2, y = 2
D) x = −2, y = −2
  • 26. Solve the inequalities 3x + 2 ≥ 4x − 6.
A) x ≤ −8
B) x ≥ −6
C) x > −4
D) x ≤ 8
  • 27. What is the square root of 12¼?
A) 3/2
B) 5/2
C) 7/4
D) 7/2
  • 28. What number must be multiplied by 112 to make a perfect square?
A) 5
B) 2
C) 3
D) 7
  • 29. Remove the brackets in (q + 3)(2q + 3).
A) 2q + 9q + 9
B) 2q² + 9q + 9
C) q + 5q + 9
D) 2q² − 9q + 6
  • 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 = kz/y
B) x = ky/z
C) y = kx/z
D) x = kz/y
  • 32. When 40 is divided by the product of k and 2, the result is 5, find the value of k.
A) 2
B) 4
C) 1
D) 3
  • 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) 6600 cm²
B) 7800 cm²
C) 8800 cm²
D) 9800 cm²
  • 34. Express 52 as a product of its prime factors in index form.
A) 2 × 26²
B) 2 × 2 × 13
C) 2 × 13²
D) 2² × 13¹
  • 35. Find the cube root of 27b³c³.
A) 3bc²
B) 3bc
C) 3b²c²
D) 3b²c
  • 36. If two fair dice are tossed once, how many elements are contained in the sample space?
A) 16
B) 46
C) 36
D) 26
  • 37. What is the probability of getting 4 when a die is thrown once?
A) 1/4
B) 1/6
C) 1/2
D) 1/3
  • 38. Four students in a secondary school obtained the following scores in a test: 20, 28, 36 and 48.
A) 24
B) 20
C) 26
D) 33
  • 39. Express 180 minutes in degree.
A) 4°
B) 5°
C) 6°
D) 3°
  • 40. If y varies directly as x and when y = 3, x = 2.
    What is the value of y when x = 12?
A) 20
B) 16
C) 14
D) 18
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