Exam Body

Year

Subject

Paper Type

POST UTME NOUN 2025 Mathematics | Objective

Prepare for your exams with POST UTME NOUN 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 \(h\) and radii \(r_1\) and (r_2\), where \(r_1 > r_2\\((r_2), where\).

Correct A. \(\frac{1}{3}\)\)\pi h\(r_1^2+r_2^2+r_1r_2\)

B. \(\frac{1}{3}\)\)\pi h\(r_1^2-r_2^2\)

C. \(\frac{1}{3}\)\)\pi h\(r_1^2+r_2^2-r_1r_2\)

D. \(\frac{1}{3}\)\)\pi h\(r_1^2-r_2^2+r_1r_2\)

Correct Answer: A

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

Question 2 View Details

Find the derivative of the function \(f(x) = \frac{1}{x^2+1}\) using the chain rule.

A. -\(\frac{2x}{x^2+1\) ^2}\)\)

Correct B. \(\frac{2x}{x^2+1\) ^2}\)\)

C. -\(\frac{1}{x^2+1\) ^2}\)\)

D. \(\frac{1}{x^2+1\) ^2}\)\)

Correct Answer: B

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

Question 3 View Details

A set (S\) is defined as S = \{x \\((S) is defined as S = \in \mathbb{R} : \(x^2 - 6x + 8\) \geq 0\}. Find the set \(S\).

Correct A. \{x \in \mathbb{R} : x \leq 2\}

B. \{x \in \mathbb{R} : x \geq 2\}

C. \{x \in \mathbb{R} : x \leq 4\}

D. \{x \in \mathbb{R} : x \geq 4\}

Correct Answer: A

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

Question 4 View Details

Find the sum of the first (n\) terms of the geometric series \(\\((n) terms of the geometric series \sum_{k = 1}^{n} \frac{1}{2^k}\).

Correct A. 1-\(\frac{1}{2^n}\)\)\)

B. 1-\(\frac{1}\){\(2^{n+1}}\)\)

C. 1-\(\frac{2}{2^n}\)\)\)

D. 1-\(\frac{2}\){\(2^{n+1}}\)\)

Correct Answer: A

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

Question 5 View Details

Solve the inequality \(|x-2| \geq 3\).

Correct A. x \leq -1 \text{ or } x \geq 5

B. x \leq 1 \text{ or } x \geq 5

C. x \leq -1 \text{ or } x \geq 4

D. x \leq 1 \text{ or } x \geq 4

Correct Answer: A

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

Question 6 View Details

In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the other sides is 6 cm. Find the length of the third side using the Pythagorean theorem.

A. 8 cm

Correct B. 12 cm

C. 16 cm

D. 20 cm

Correct Answer: B

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

Question 7 View Details

A random variable X has a probability distribution given by P\(X = 1 = 0.3\), P\(X = 2 = 0.4\), and P\(X = 3 = 0.3\). Find the expected value of X.

A. 1.1

B. 1.3

Correct C. 1.5

D. 1.7

Correct Answer: C

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

Question 8 View Details

A circle has a radius of 4 cm. Find the area of the circle.

Correct A. 50.24 \(cm^2\)

B. 50.24 \(m^2\)

C. 50.24 \(cm^3\)

D. 50.24 \(m^3\)

Correct Answer: A

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

Question 9 View Details

A vector →\(A = 3\)→i + 4→j. Find the magnitude of the vector.

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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

Question 10 View Details

A function f(x) = \(2x^2 + 3x - 1\) has a local maximum at x = -1. Find the value of the function at this point.

A. -3

Correct B. -1

C. 1

D. 3

Correct Answer: B

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

Question 11 View Details

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

Correct A. \(x > 3\)

B. \(x < 3\)

C. \(x > 5\)

D. \(x < 5\)

Correct Answer: A

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

Question 12 View Details

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

A. \(14\)

B. \(16\)

Correct C. \(18\)

D. \(20\)

Correct Answer: C

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

Question 13 View Details

A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. \(\frac{1}{2}\)

Correct B. \(\frac{2}{5}\)

C. \(\frac{3}{8}\)

D. \(\frac{4}{7}\)

Correct Answer: B

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

Question 14 View Details

The mean of 5 numbers is 12. If one of the numbers is 15, what is the mean of the remaining 4 numbers?

A. \(10\)

Correct B. \(11\)

C. \(12\)

D. \(13\)

Correct Answer: B

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

Question 15 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 + \(y-3\)^\(2 = 20\) \)

C. \(x-2\)^2 + \(y-3\)^\(2 = 24\) \)

D. \(x-2\)^2 + \(y-3\)^\(2 = 28\) \)

Correct Answer: A

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

Question 16 View Details

Solve the system of equations \(x + y = 4\) and \(x - y = 2\).

Correct A. \(x = 3, y = 1\)

B. \(x = 1, y = 3\)

C. \(x = 2, y = 2\)

D. \(x = 4, y = 0\)

Correct Answer: A

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

Question 17 View Details

Find the area of the triangle with vertices ( (0, 0), (3, 0), ) and ( (0, 2) ).

A. \(6\)

B. \(8\)

Correct C. \(10\)

D. \(12\)

Correct Answer: C

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

Question 18 View Details

A car travels from point A to point B at an average speed of 60 \(km/h\). If the distance between the two points is 240 km, how long does the journey take?

A. \(4\)

Correct B. \(5\)

C. \(6\)

D. \(7\)

Correct Answer: B

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

Question 19 View Details

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

Correct A. \(y = x + 1\)

B. \(y = x - 1\)

C. \(y = x + 2\)

D. \(y = x - 2\)

Correct Answer: A

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

Question 20 View Details

In a random sample of 100 students, the mean height is 175 cm with a standard deviation of 5 cm. If the mean height of the entire population is 180 cm, what is the standard error of the mean?

A. 2.5 cm

Correct B. 5 cm

C. 10 cm

D. 15 cm

Correct Answer: B

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

Question 21 View Details

A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. What is the volume of the prism?

Correct A. 400 cm³

B. 500 cm³

C. 600 cm³

D. 800 cm³

Correct Answer: A

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

Question 22 View Details

Solve the inequality \\((2x^2 + 5x - 3\)\(> 0.\)\)

Correct A. x < -1 or \(x > 3\)

B. \(x < 1\) or \(x > 3\)

C. x < -3 or \(x > 1\)

D. \(x < 3\) or \(x > 1\)

Correct Answer: A

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

Question 23 View Details

In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the acute angles is 30°. What is the length of the side opposite the 30° angle?

A. 5 cm

Correct B. 7.5 cm

C. 10 cm

D. 12.5 cm

Correct Answer: B

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

Question 24 View Details

A circle has a radius of 4 cm. What is the area of the circle?

Correct A. 50.24 cm²

B. 62.83 cm²

C. 75.40 cm²

D. 100.53 cm²

Correct Answer: A

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

Question 25 View Details

Let X be a random variable with probability density function ( f(x) = egin{cases} 2x & 0 leq x leq 1 \ 0 & \text{otherwise} \end{cases} ). Find the probability that X is greater than 0.5.

Correct A. \(\frac{1}{2}\)

B. \(\frac{1}{4}\)

C. \(\frac{3}{4}\)

D. \(\frac{1}{3}\)

Correct Answer: A

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