Preparing for your Post UTME Mathematics exam?
This resource provides a complete set of Post UTME Mathematics past questions and answers to help you practice and improve your performance in the upcoming exam. These questions are compiled from various Nigerian universities and cover key topics like algebra, calculus, geometry, trigonometry, statistics, and more.
Go through them carefully to build confidence and succeed in your Post UTME screening.
POST-UTME MATHEMATICS PAST QUESTIONS (1–100)
(Multiple Choice with Answers)
1. Simplify: 3/4+2/3
A. 5/7 B. 17/12 C. 9/12 D. 12/17
Answer: B
2. Find the value of x in the equation 3x − 5 = 16
A. 7 B. 6 C. 5 D. 8
Answer: A
3. The HCF of 18 and 24 is:
A. 2 B. 3 C. 6 D. 12
Answer: C
4. Convert 0.375 to a fraction.
A. 3/4 B. 1/4 C. 5/8 D. 3/8
Answer: D
5. Find the simple interest on ₦5000 at 5% per annum for 2 years.
A. ₦250 B. ₦400 C. ₦500 D. ₦600
Answer: A
6. What is the value of x if 2x + 3 = 11
A. 2 B. 3 C. 4 D. 5
Answer: C
7. What is the square root of 196?
A. 12 B. 13 C. 14 D. 15
Answer: C
8. Find the LCM of 4, 6 and 8.
A. 12 B. 18 C. 24 D. 48
Answer: C
9. What is the value of 3³
A. 6 B. 9 C. 27 D. 81
Answer: C
10. If a = 2 and b = 3, evaluate ab + a²
A. 10 B. 11 C. 12 D. 13
Answer: C
11. What is the next number in the sequence: 2, 4, 8, 16, ?
A. 24 B. 30 C. 32 D. 34
Answer: C
12. Find the area of a triangle with base 10 cm and height 6 cm.
A. 30 cm² B. 40 cm² C. 50 cm² D. 60 cm²
Answer: A
13. Solve: 5(x−2) = 15
A. 1 B. 3 C. 4 D. 5
Answer: B
14. Find the mean of the numbers: 5, 7, 9, 11, 13
A. 8 B. 9 C. 10 D. 11
Answer: B
15. Simplify: 2a − 3a + 4
A. −a+4-a + 4 B. a+4a + 4 C. a−4a – 4 D. −a−4-a – 4
Answer: A
16. If a car travels 120 km in 3 hours, what is its speed?
A. 30 km/h B. 40 km/h C. 50 km/h D. 60 km/h
Answer: B
17. What is the perimeter of a square with side 5 cm?
A. 10 cm B. 15 cm C. 20 cm D. 25 cm
Answer: C
18. A student scored 75 out of 100. What is his percentage score?
A. 70% B. 72% C. 75% D. 80%
Answer: C
19. Evaluate: (2x)² when x = 3
A. 12 B. 24 C. 36 D. 18
Answer: C
20. Simplify: 1/2 + 2/5
A. 7/10 B. 9/10 C. 11/10 D. 6/10
Answer: B
21. Find the value of xx if x3=6\frac{x}{3} = 6
A. 12 B. 15 C. 18 D. 20
Answer: C
22. Solve: x² = 81
A. 8 B. 9 C. ±9 D. 10
Answer: C
23. A cube has a volume of 64 cm³. What is the length of one side?
A. 3 cm B. 4 cm C. 5 cm D. 6 cm
Answer: B
24. Express 25% as a fraction.
A. 1/3 B. 1/4 C. 1/2 D. 2/5
Answer: B
25. If 2 pens cost ₦80, how much will 5 pens cost?
A. ₦160 B. ₦180 C. ₦200 D. ₦220
Answer: C
Most Repeated Post Utme Mathematics Past Questions
26. Find the gradient of a line passing through points (2, 3) and (6, 11).
A. 2 B. 3 C. 4 D. 5
Answer: A
27. How many sides has a regular hexagon?
A. 4 B. 5 C. 6 D. 8
Answer: C
28. What is the next term in the sequence 1, 4, 9, 16, 25…?
A. 36 B. 30 C. 28 D. 35
Answer: A
29. Factorize: x² + 5x + 6
A. (x + 2)(x + 3) B. (x – 2)(x – 3) C. (x – 1)(x + 6) D. (x + 1)(x + 5)
Answer: A
30. What is the probability of tossing a fair coin and getting a head?
A. 0 B. 1/2 C. 1 D. 2/3
Answer: B
31. Simplify: 5/8 − 1/4
A. 1/2 B. 3/8 C. 5/4 D. 7/8
Answer: B
32. Find the mode of 3, 5, 6, 3, 7, 3, 9
A. 3 B. 6 C. 7 D. 9
Answer: A
33. Evaluate 2/3 × 3/5
A. 6/15 B. 1/2 C. 2/5 D. 3/4
Answer: A
34. Solve: 3x = 2x + 7
A. 3 B. 5 C. 6 D. 7
Answer: D
35. What is the value of π (pi) to 2 decimal places?
A. 3.10 B. 3.12 C. 3.14 D. 3.16
Answer: C
36. What is 15% of 200?
A. 15 B. 20 C. 25 D. 30
Answer: D
37. Convert 0.2 to a percentage.
A. 2% B. 20% C. 200% D. 0.02%
Answer: B
38. If x=−2x = -2, evaluate x² + 3x + 2
A. 0 B. 1 C. 2 D. 3
Answer: A
39. The length of a rectangle is 8 cm, and the width is 3 cm. Find the area.
A. 24 cm² B. 26 cm² C. 28 cm² D. 30 cm²
Answer: A
40. The sum of the angles in a triangle is:
A. 90° B. 180° C. 270° D. 360°
Answer: B
41. What is the value of 2⁵
A. 16 B. 32 C. 64 D. 128
Answer: B
42. Solve: 2x/5 = 8
A. 10 B. 15 C. 20 D. 25
Answer: C
43. Express 1.25 as a fraction.
A. 4/3 B. 5/4 C. 3/2 D. 6/5
Answer: B
44. What is the median of 3, 6, 8, 10, 12?
A. 6 B. 8 C. 10 D. 12
Answer: B
45. The decimal of 1/8 is:
A. 0.12 B. 0.25 C. 0.125 D. 0.75
Answer: C
46. What is the volume of a cube with side 3 cm?
A. 6 cm³ B. 9 cm³ C. 18 cm³ D. 27 cm³
Answer: D
47. Factorize: x² − 16
A. (x + 4)(x + 4) B. (x – 4)(x – 4) C. (x + 4)(x – 4) D. (x – 8)(x + 2)
Answer: C
48. If x = 2, what is the value of 3x²−2x+1?
A. 7 B. 9 C. 10 D. 11
Answer: D
49. A right angle equals:
A. 45° B. 60° C. 90° D. 120°
Answer: C
50. The radius of a circle is 7 cm. Find the circumference.
A. 44 cm B. 46 cm C. 49 cm D. 22 cm
Answer: A
READ and study also – Most Repeated Post UTME Physics past questions and answers for exam preparation
POST-UTME MATHEMATICS PAST QUESTIONS (51–100)
(Multiple Choice with Answers)
51. Simplify: 4x − 3 + 2x + 5
A. 6x+2 B. 6x−8 C. 2x+2 D. 4x+8
Answer: A
52. What is the value of x if 3/x = 6
A. 1 B. 2 C. 1/2 D. 3/6
Answer: B
53. Solve: x² – 9 = 0
A. 3 only B. ±3 C. 9 D. -3
Answer: B
54. The sum of the interior angles of a pentagon is:
A. 360° B. 540° C. 720° D. 900°
Answer: B
55. Evaluate: 5!5! (5 factorial)
A. 20 B. 60 C. 100 D. 120
Answer: D
56. Convert 0.45 to percentage.
A. 45% B. 0.45% C. 4.5% D. 0.045%
Answer: A
57. A pie chart shows a sector of 90°. What fraction of the whole does it represent?
A. 1/2 B. 1/4 C. 1/3 D. 1/6
Answer: B
58. The solution to | x – 3 | = 5 is:
A. x = 2 or 4 B. x = -2 or 4 C. x = -2 or 8 D. x = -5 or 8
Answer: D
59. The nth term of the sequence 2, 5, 8, 11… is:
A. 3n + 1 B. 2n + 1 C. 3n – 1 D. 2n – 1
Answer: C
60. If 2 oranges cost ₦60, what is the cost of 5 oranges?
A. ₦100 B. ₦120 C. ₦150 D. ₦180
Answer: C
61. Find the volume of a cylinder with radius 7 cm and height 10 cm.
A. 1540 cm³ B. 770 cm³ C. 440 cm³ D. 220 cm³
Answer: A
62. The product of the roots of x² + 5x + 6 = 0 is:
A. 6 B. 5 C. -6 D. -5
Answer: A
63. What is the value of (x + y)²
A. x² + y² B. x²+2xy + y² C. x²− 2xy + y² D. x² + xy + y²
Answer: B
64. A man is 5 years older than his son. If the sum of their ages is 35, how old is the son?
A. 10 B. 15 C. 20 D. 25
Answer: B
65. Convert binary number 1011 to decimal.
A. 10 B. 11 C. 12 D. 13
Answer: B
66. What is the angle in a semicircle?
A. 180° B. 90° C. 60° D. 120°
Answer: B
67. A regular polygon has 8 sides. What is the size of each interior angle?
A. 135° B. 120° C. 140° D. 160°
Answer: A
68. The square of -5 is:
A. -25 B. 25 C. -10 D. 10
Answer: B
69. A train travels 240 km in 3 hours. Find its average speed.
A. 60 km/h B. 70 km/h C. 80 km/h D. 90 km/h
Answer: C
70. Solve for x: 2x+ 1/3 = 5
A. 6 B. 7 C. 5 D. 4
Answer: A
71. What is the surface area of a cube with side 4 cm?
A. 48 cm² B. 64 cm² C. 96 cm² D. 100 cm²
Answer: C
72. Convert 2.5 hours to minutes.
A. 125 mins B. 120 mins C. 150 mins D. 160 mins
Answer: C
73. Find the range of the data: 4, 9, 11, 5, 6
A. 6 B. 7 C. 5 D. 4
Answer: B
74. Find the distance between points (2,3) and (6,6)
A. 4 B. 5 C. 6 D. 8
Answer: B
Post Utme Mathematics Past Questions
75. If 1 dollar = ₦400, how much is $15?
A. ₦5500 B. ₦6000 C. ₦4500 D. ₦4800
Answer: B
76. Factorize: x² − 2x − 15
A. (x + 3)(x – 5) B. (x – 3)(x – 5) C. (x + 5)(x – 3) D. (x + 5)(x + 3)
Answer: A
77. Evaluate: √49
A. 6 B. 7 C. 8 D. 9
Answer: B
78. What is 0.05 as a percentage?
A. 0.5% B. 5% C. 50% D. 0.05%
Answer: B
79. Simplify: 2³×2²
A. 32 B. 16 C. 64 D. 8
Answer: B
80. If a = 3 and b = 2, evaluate (a+b)2(a + b)^2
A. 25 B. 20 C. 15 D. 30
Answer: A
81. What is the additive inverse of -9?
A. -9 B. 9 C. 0 D. 1
Answer: B
82. Write 3.75 as a fraction.
A. 15/4 B. 13/4 C. 12/5 D. 11/4
Answer: A
83. What is the average of 8, 10, 12, and 14?
A. 10 B. 11 C. 12 D. 13
Answer: B
84. Solve: 4x + 3 = 19
A. 4 B. 5 C. 6 D. 7
Answer: B
85. The product of 0 and any number is:
A. 0 B. 1 C. -1 D. the number itself
Answer: A
86. Solve: 5x/2 = 15
A. 6 B. 5 C. 4 D. 3
Answer: A
87. What is the reciprocal of 2/3?
A. 3/2 B. 2/3 C. 1/2 D. 1.5
Answer: A
88. Simplify: (x²−4)÷(x−2)
A. x + 2 B. x – 2 C. x² – 2 D. x² + 2
Answer: A
89. What is the cube of 3?
A. 6 B. 9 C. 27 D. 81
Answer: C
90. Find the area of a circle with radius 3 cm (use π = 3.14)
A. 28.26 cm² B. 27 cm² C. 29 cm² D. 30 cm²
Answer: A
91. Find x if x – 3 = 2
A. 1 B. 3 C. 5 D. 6
Answer: C
92. What is the cube root of 64?
A. 2 B. 3 C. 4 D. 8
Answer: C
93. Convert 1.5 hours to seconds.
A. 4500 s B. 3600 s C. 5400 s D. 7200 s
Answer: C
94. If the diameter of a circle is 14 cm, find the radius.
A. 6 cm B. 7 cm C. 8 cm D. 9 cm
Answer: B
95. Simplify: (x + 2)(x – 2)
A. x²−4 B. x²+4 C. x²−2 D. x²+2
Answer: A
96. Evaluate 62−326^2 – 3^2
A. 27 B. 28 C. 29 D. 36
Answer: A
97. Find the value of 20% of ₦2500
A. ₦400 B. ₦500 C. ₦450 D. ₦600
Answer: B
98. What is the volume of a sphere with radius 3 cm? (Use π = 3.14)
A. 113.04 cm³ B. 90 cm³ C. 100 cm³ D. 105.2 cm³
Answer: A
99. Find x: 2x −4 = 10
A. 5 B. 6 C. 7 D. 8
Answer: D
100. Convert 75% to a decimal.
A. 0.75 B. 0.085 C. 7.5 D. 0.7
Answer: A
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Conclusion on Post Utme Mathematics Past Questions
Mathematics remains one of the key subjects that determine university admission, especially in science, social science, and business-related courses. This collection of 100 Post UTME Mathematics past questions and answers is carefully selected to reflect recurring question styles used by universities and polytechnics. Practice each question, note your speed, and revisit weak topics for full preparation.