Exam Body

Year

Subject

Paper Type

POST UTME UNILAG 2025 Mathematics | Objective

Prepare for your exams with POST UTME UNILAG questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2025 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

Determine the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 24π cm³

Correct B. 48π cm³

C. 96π cm³

D. 192π cm³

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2 View Details

Solve for x in the equation \(\log_{10} x^2 \\)\(= 4 ).\)

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3 View Details

Find the area under the curve \(y = \frac{1}{x}\) from \(x = 1\) to \(x = 2\).

Correct A. 0.5

B. 1

C. 1.5

D. 2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4 View Details

A snail is at the bottom of a 20-foot well. Each day, it climbs up 3 feet, but at night, it slips back 2 feet. How many days will it take for the snail to reach the top of the well?

A. 18

Correct B. 19

C. 20

D. 21

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5 View Details

A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?

A. ₦1,250

B. ₦1,500

C. ₦1,750

Correct D. ₦2,000

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6 View Details

Find the area under the curve \(y = \frac{1}{2}x^2 + 3x - 2\) from \(x = 0\) to \(x = 4\).

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7 View Details

A polynomial function is defined as ( f(x) = \((ax^3 + bx^2 + cx + d\)\) ). If ( f(1) = 5 ), \(f -1 \\((ax^3 + bx^2 + cx + d) ). If ( f(1) = 5 ), \\)\(= -3 )\), and ( f(2) = 17 ), find the value of ( a ).

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8 View Details

A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.

Correct A. 72

B. 80

C. 90

D. 100

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9 View Details

Find the determinant of the matrix \(egin{bmatrix} 2 & 3 & 1 \ 4 & 5 & 2 \ 1 & 2 & 3 \end{bmatrix}\).

A. 10

B. 15

Correct C. 20

D. 25

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10 View Details

A set of exam scores has a mean of 70 and a standard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score will be greater than 80.

A. 0.25

B. 0.30

Correct C. 0.35

D. 0.40

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11 View Details

In a triangle ABC, the coordinates of A, B, and C are (2, 3), (4, 6), and (8, 2) respectively. Find the equation of the median from vertex A to side BC.

A. \(\frac{x}{2}\)\) + \(3 = 0\)

B. \(\frac{x}{2}\)\) + \(3 = 1\)

Correct C. \(\frac{x}{2}\)\) + \(3 = 2\)

D. \(\frac{x}{2}\)\) + \(3 = 3\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12 View Details

Find the value of x in the equation \log_{10} \(x^2 = 4\).

A. 10

B. 20

C. 40

Correct D. 80

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13 View Details

Solve the inequality \(\frac{x-2}{x+1}\)\\() > 0.\)

Correct A. \(x < -1\)\text{ or } \(x > 2\)

B. \(x < -1\)\text{ or } \(x < 2\)

C. \(x > -1\)\text{ or } \(x > 2\)

D. \(x > -1\)\text{ or } \(x < 2\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14 View Details

Find the equation of the circle with center (2, 3) and radius 4.

Correct A. \(x-2\)^2 + \(y-3\)^\(2 = 16\)

B. \(x-2\)^2 + \(y-3\)^\(2 = 32\)

C. \(x-2\)^2 + \(y-3\)^\(2 = 64\)

D. \(x-2\)^2 + \(y-3\)^\(2 = 256\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15 View Details

Find the value of x in the equation \(\frac{1}{x}\)\) + \(\frac{1}{x+1}\)\) = \(\frac{1}{2}\)\).

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16 View Details

Find the area under the curve \(y = \frac{1}{2}x^2 + 3x - 2\) from \(x = 0\) to \(x = 4\).

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17 View Details

A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:3, how many loaves of whole wheat bread are sold per day?

A. 150

B. 200

Correct C. 250

D. 300

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18 View Details

A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is the volume of the prism?

Correct A. 72

B. 80

C. 90

D. 100

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19 View Details

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability that it is blue?

A. 0.2

Correct B. 0.25

C. 0.3

D. 0.35

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20 View Details

A company produces two products, A and B. Product A requires 2 hours of labor and 3 hours of machine time, while product B requires 3 hours of labor and 2 hours of machine time. If the company has 120 hours of labor and 180 hours of machine time available, how many units of product A and product B should be produced to maximize profit?

Correct A. 20 units of A, 30 units of B

B. 30 units of A, 20 units of B

C. 40 units of A, 10 units of B

D. 10 units of A, 40 units of B

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21 View Details

Determine the volume of the frustum of a cone with height 8cm, lower base radius 4cm, and upper base radius 2cm.

A. 64π cm³

Correct B. 128π cm³

C. 256π cm³

D. 512π cm³

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22 View Details

A set of 5 integers has an average of 20. If the largest integer is 35, and the second largest is 25, what is the sum of the remaining 3 integers?

A. 50

B. 60

Correct C. 70

D. 80

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23 View Details

Find the equation of the line passing through the points (2,3) and (4,5).

Correct A. \(y = 2x - 1\)

B. \(y = 2x + 1\)

C. \(y = 3x - 2\)

D. \(y = 3x + 2\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24 View Details

A sequence is defined by the recurrence relation a_\(n = 2a\)_\(n-1\) + 1, with \(a_1 = 3\). Find the value of a_5.

A. 31

B. 32

Correct C. 33

D. 34

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25 View Details

A histogram has a mean of 25 and a standard deviation of 5. If the largest value is 40, what is the sum of the remaining 4 values?

A. 80

B. 90

Correct C. 100

D. 110

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support