Mathematics Post UTME Past Questions and Answers (1–150)
Here are 50 carefully selected Mathematics Post UTME past questions and answers to help you prepare. For full access to all Post UTME past questions for all universities in Nigeria, visit Accolade Past Questions.
Questions 1–50
1. Simplify: 2x + 3x – 5
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Answer: A (5x – 5)
2. Solve for x: 2x + 5 = 15
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Answer: A (x = 5)
3. Find y: If 3y – 7 = 11
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Answer: C (y = 6)
4. Simplify: (x² × x³)
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Answer: A (x⁵)
5. If 2x = 10, find x.
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Answer: D (x = 5)
6. Simplify: (x³)²
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Answer: A (x⁶)
7. If 4x – 3 = 9, find x.
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Answer: C (x = 3)
8. Solve: 5x + 7 = 22
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Answer: B (x = 3)
9. Find the value of: (2³ × 2²)
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Answer: A (2⁵ = 32)
10. If 3x = 12, find x.
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Answer: C (x = 4)
11. Simplify: (x² – 9) / (x – 3)
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Answer: A (x + 3)
12. Solve for x: 3x – 7 = 11
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Answer: B (x = 6)
13. Evaluate: √144
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Answer: C (12)
14. Find the LCM of 12 and 18
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Answer: B (36)
15. If 2x = 10, find x.
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Answer: D (5)
16. Expand: (x + 2)(x – 2)
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Answer: A (x² – 4)
17. If y = 3x + 2, find y when x = 4.
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Answer: B (14)
18. Simplify: (2/3) ÷ (4/9)
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Answer: A (3/2)
19. Convert 0.75 to a fraction.
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Answer: B (3/4)
20. If x² = 49, find x.
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Answer: C (±7)
21. Find the simple interest on ₦5000 at 10% per annum for 2 years.
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Answer: B (₦1000)
22. Simplify: log₁₀(1000)
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Answer: C (3)
23. If sinθ = 1/2, find θ.
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Answer: A (30°)
24. Find the area of a triangle with base 10 cm and height 12 cm.
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Answer: B (60 cm²)
25. Differentiate: y = 3x²
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Answer: A (6x)
26. Find the mean of: 2, 4, 6, 8, 10
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Answer: B (6)
27. Solve: 2(x – 3) = 10
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Answer: C (x = 8)
28. Convert 120° to radians.
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Answer: A (2π/3)
29. Solve for x: 5x = 25
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Answer: B (x = 5)
30. If the probability of an event is 0.25, what is the probability of its complement?
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Answer: C (0.75)
31. Solve for x: If 2x – 5 = 9, what is x?
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Answer: C (x = 7)
32. Simplify: (x²y³) × (x³y²)
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Answer: A (x⁵y⁵)
33. The mean of 10, 20, 30, 40, 50 is:
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Answer: B (30)
34. Find the next term of the sequence: 2, 4, 8, 16, ?
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Answer: D (32)
35. Solve for x: 3(x – 2) = 12
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Answer: C (x = 6)
36. If sin θ = 1/2, find θ (0° ≤ θ ≤ 90°)
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Answer: B (30°)
37. Find the gradient of the line joining (2,3) and (6,11)
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Answer: B (2)
38. Evaluate: log₁₀(1000)
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Answer: C (3)
39. Find the sum of the first 10 natural numbers
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Answer: C (55)
40. Solve: If 5x = 125, find x
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Answer: D (x = 3, since 5³ = 125)
41. If the area of a square is 64 cm², find the perimeter
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Answer: C (32 cm)
42. Solve for x: x² – 9 = 0
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Answer: C (x = ±3)
43. Express 0.125 as a fraction
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Answer: C (1/8)
44. Find the median of 2, 7, 4, 9, 5
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Answer: B (5)
45. Solve: If 3x + 2 = 14, find x
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Answer: C (x = 4)
46. If tan θ = 1, what is θ?
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Answer: B (45°)
47. Expand: (x + 2)(x – 3)
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Answer: A (x² – x – 6)
48. Find the mode: 2, 4, 4, 5, 6
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Answer: B (4)
49. Simplify: (x³ ÷ x²)
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Answer: A (x)
50. Find the value of y: If y/3 = 9
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Answer: C (27)6
51. Evaluate: (3/5) ÷ (9/25)
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Answer: C (25/27)
52. Simplify: √144
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Answer: C (12)
53. Factorize: x² – 9
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Answer: B ((x + 3)(x – 3))
54. If sin θ = 1/2, then θ = ?
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Answer: C (30°)
55. Find the mean of 2, 4, 6, 8, 10.
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Answer: B (5)
56. Solve for x: 5x – 7 = 18
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Answer: D (x = 5)
57. Convert 0.375 to a fraction.
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Answer: B (3/8)
58. Find the HCF of 18 and 24.
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Answer: C (6)
59. Solve: 2x² = 18
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Answer: A (±3)
60. The probability of tossing a coin and getting a head is?
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Answer: B (1/2)
61. Simplify: (x²y)(xy²)
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Answer: A (x³y³)
62. Find the value of log₁₀100.
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Answer: B (2)
63. Find the sum of the angles in a pentagon.
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Answer: B (540°)
64. Differentiate y = 2x² with respect to x.
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Answer: B (4x)
65. Integrate: ∫ 3x² dx
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Answer: A (x³ + C)
66. Convert 120° to radians.
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Answer: A (2π/3)
67. The gradient of y = 5x + 7 is?
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Answer: A (5)
68. Evaluate: 2³ × 3²
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Answer: C (36)
69. The 10th term of an AP with first term 2 and common difference 3 is?
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Answer: C (29)
70. If a die is rolled, what is the probability of getting an even number?
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Answer: C (1/2)
71. Simplify: (x² – y²) ÷ (x – y)
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Answer: A (x + y)
72. Solve for x: 2x – 7 = 9
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Answer: D (x = 8)
73. Find the gradient of the line passing through (2, 3) and (6, 11).
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Answer: B (m = 2)
74. If sin θ = 1/2, find θ (0° ≤ θ ≤ 180°).
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Answer: A (30° or 150°)
75. Simplify: (2x³y² ÷ 4x²y)
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Answer: B (xy/2)
76. Evaluate: log₁₀(1000)
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Answer: C (3)
77. If 2x + 3y = 12 and x = 3, find y.
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Answer: B (y = 2)
78. Find the area of a triangle with base 10 cm and height 8 cm.
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Answer: B (40 cm²)
79. Expand: (x + 3)(x – 3)
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Answer: B (x² – 9)
80. Find the value of k if (x – 2) is a factor of x² + kx – 6.
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Answer: C (k = 4)
81. Solve for x: 3(x – 2) = 12
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Answer: C (x = 6)
82. If a = 2, b = 3, evaluate ab².
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Answer: C (18)
83. Simplify: 5/8 ÷ 15/16
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Answer: B (2/3)
84. Find the mean of 4, 6, 8, 10, 12.
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Answer: C (8)
85. If tan θ = 1, find θ (0° ≤ θ ≤ 180°).
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Answer: B (45° or 135°)
86. Find the mode of: 2, 4, 4, 6, 8, 8, 8, 10.
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Answer: D (8)
87. If 3x = 81, find x.
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Answer: B (x = 4)
88. A die is rolled once. Find the probability of getting an even number.
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Answer: A (1/2)
89. If a = 2, b = 5, find (a + b)².
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Answer: C (49)
90. Differentiate y = 3x² with respect to x.
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Answer: B (6x)
91. Evaluate: √144
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Answer: C (12)
92. Simplify: (x² ÷ x) × x³
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Answer: B (x⁴)
93. Find the LCM of 12 and 18.
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Answer: A (36)
94. If a = 4, b = –2, find ab.
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Answer: B (–8)
95. If 2x + 3 = 11, find x.
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Answer: C (x = 4)
96. A rectangle has length 12 cm and width 5 cm. Find its perimeter.
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Answer: D (34 cm)
97. If cos θ = 0, θ is?
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Answer: B (90°)
98. Express 64 as a power of 2.
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Answer: B (2⁶)
99. If log x = 2, find x.
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Answer: B (x = 100)
100. Solve: 2x – 5 = 9
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Answer: C (x = 7)
Mathematics Post UTME Past Questions 101–130
101. If log10(2x) = 1, find x.
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Answer: A (x = 5)
102. Find the derivative of y = 3x² + 5x – 7.
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Answer: A (dy/dx = 6x + 5)
103. Integrate: ∫ (2x + 3) dx.
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Answer: A (x² + 3x + C)
104. The gradient of a line perpendicular to y = 2x + 3 is:
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Answer: D (-1/2)
105. If sin θ = 1/2, find θ in degrees (0° ≤ θ ≤ 180°).
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Answer: A and D (30° and 150°)
106. Find the determinant of matrix |2 3| |1 4|
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Answer: B (7)
107. Solve: 2x² – 8 = 0
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Answer: A (x = 2, -2)
108. Convert 60° to radians.
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Answer: B (π/3)
109. The mean of 5, 10, 15, 20, 25 is:
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Answer: B (15)
110. Evaluate: (2/3) ÷ (4/9)
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Answer: B (3/2)
111. Solve for x: log10x = 2
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Answer: C (x = 100)
112. Differentiate y = sin x.
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Answer: A (dy/dx = cos x)
113. Find the mode of 2, 4, 6, 4, 8, 4, 10.
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Answer: B (4)
114. If 5 workers complete a job in 8 days, how many days will 10 workers take?
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Answer: C (4 days)
115. Simplify: (x² – 9) ÷ (x – 3)
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Answer: B (x + 3)
116. Solve: 3x + 7 = 16
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Answer: C (x = 3)
117. Convert 0.375 to a fraction.
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Answer: A (3/8)
118. Find the sum of the first 20 natural numbers.
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Answer: B (210)
119. Evaluate: √(144)
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Answer: C (12)
120. Find the LCM of 18 and 24.
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Answer: B (72)
121. If x : y = 2 : 5 and y : z = 10 : 3, find x : y : z.
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Answer: D (4 : 10 : 3)
122. Simplify: (x³y²) ÷ (x²y).
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Answer: A (xy)
123. Solve: (x – 1)(x + 2) = 0
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Answer: A (x = -2, 1)
124. Find the probability of getting an even number in a single toss of a fair die.
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Answer: B (1/2)
125. If tan θ = 1, find θ (0° ≤ θ ≤ 180°).
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Answer: B (45°)
126. Find the 10th term of the arithmetic sequence: 3, 7, 11, …
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Answer: A (39)
127. Solve for x: 5x – 2 = 18
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Answer: D (x = 4)
128. If P = 2l + 2b, find P when l = 5 cm and b = 3 cm.
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Answer: C (20 cm)
129. Differentiate y = x³.
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Answer: B (dy/dx = 3x²)
130. Simplify: (a² – b²) ÷ (a – b)
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Answer: A (a + b)
Mathematics Post UTME Past Questions (131–160)
131. Simplify: (x² – 9) ÷ (x – 3)
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Answer: A (x + 3)
132. Solve for x: 5x – 7 = 3x + 9
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Answer: B (x = 8)
133. The gradient of the line 2y – 6x = 4 is:
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Answer: B (3)
134. Evaluate: √144
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Answer: C (12)
135. Find the LCM of 12, 18 and 30.
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Answer: B (180)
136. The mean of 10, 20, 30, 40 and 50 is:
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Answer: B (30)
137. Solve: If 2x = 128, find x.
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Answer: D (x = 7, since 2⁷ = 128)
138. Simplify: (x³ ÷ x²)
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Answer: B (x)
139. A car travels 120 km in 3 hours. Find its average speed.
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Answer: B (40 km/h)
140. Find the median of the numbers: 3, 7, 5, 9, 11.
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Answer: B (7)
141. Evaluate: (3/5) ÷ (9/10)
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Answer: B (3/2)
142. Simplify: log₁₀(1000)
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Answer: B (3)
143. Find the mode of: 2, 4, 4, 5, 7, 8, 4, 6.
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Answer: A (4)
144. If sinθ = 1/2, find θ (0° ≤ θ ≤ 90°).
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Answer: B (30°)
145. A bag contains 5 red and 7 blue balls. If one ball is picked at random, find the probability of picking a red ball.
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Answer: A (5/12)
146. Find the value of x if 2(x – 3) = 10.
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Answer: C (x = 8)
147. Expand: (x + 2)(x – 3)
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Answer: A (x² – x – 6)
148. Find the simple interest on ₦2000 at 10% per annum for 3 years.
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Answer: D (₦600)
149. Solve for x: x² – 9 = 0
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Answer: A (x = ±3)
150. Evaluate: (3/4) × (8/9)
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Answer: B (2/3)
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