Exam Body

Year

Subject

Paper Type

POST UTME ESUT 2025 Mathematics | Objective

Are you preparing for POST UTME ESUT exams? Reviewing past 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

Find the derivative of the function ( f(x) = \frac{1}{\sqrt{x}} ) u\sing the chain rule.

A. f'(x) = -\frac{1}{2x^{3/2}}

Correct B. f'(x) = \frac{1}{2x^{3/2}}

C. f'(x) = -\frac{1}{x^{3/2}}

D. f'(x) = \frac{1}{x^{3/2}}

Correct Answer: B

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

Question 2

A histogram of exam scores is shown below. What is the mean score?

A. 60

B. 70

Correct C. 80

D. 90

Correct Answer: C

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

Question 3

Solve the equation \( 2^x + 2^x = 100 \) for x.

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 4

A circuit consists of a battery, a resistor, and a capacitor in series. If the capacitor is charged to 5V and the resistor is 10Ω, what is the current flowing through the circuit?

Correct A. 0.5A

B. 1A

C. 2A

D. 5A

Correct Answer: A

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

Question 5

A company has a histogram of employee salaries as shown below. What is the median salary?

A. ₦50,000

B. ₦60,000

Correct C. ₦70,000

D. ₦80,000

Correct Answer: C

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

Question 6

A rec\tangular 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 in cubic centimeters?

Correct A. 400

B. 500

C. 600

D. 800

Correct Answer: A

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

Question 7

A set of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score will be between 60 and 90?

A. 0.9544

Correct B. 0.9772

C. 0.9987

D. 0.9999

Correct Answer: B

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

Question 8

A fair six-sided die is rolled. What is the probability that the number rolled is either 1, 2, or 3?

Correct A. 0.5

B. 0.6

C. 0.7

D. 0.8

Correct Answer: A

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

Question 9

A rec\tangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. What is the surface area of the prism in square centimeters?

A. 200

B. 250

Correct C. 300

D. 350

Correct Answer: C

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

Question 10

A set of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the z-score of a score of 90?

A. 1.5

Correct B. 2.0

C. 2.5

D. 3.0

Correct Answer: B

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

Question 11

In a base 8 number system, what is the value of the expression \( 5 \times 8^2 + 3 \times 8^1 + 2 \times 8^0 \)?

Correct A. 123

B. 456

C. 789

D. 101

Correct Answer: A

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

Question 12

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

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 13

A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?

A. 30

B. 40

Correct C. 50

D. 60

Correct Answer: C

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

Question 14

Two events, A and B, are indep\endent. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. What is the probability that both events occur?

A. 0.2

Correct B. 0.4

C. 0.6

D. 0.8

Correct Answer: B

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

Question 15

Simplify the expression \( \sqrt{16} + \sqrt{9} \ \).

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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

Question 16

Solve the inequality \( \frac{x+2}{x^2-4x-5} > 0 \) for \( x in \( -infty, infty \ \) ).

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

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

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

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

Correct Answer: A

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

Question 17

A set ( A ) contains the elements ( {1, 2, 3, 4, 5} ). Find the number of subsets of ( A ) that contain exactly two elements.

A. 10

Correct B. 15

C. 20

D. 25

Correct Answer: B

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

Question 18

Find the sum of the first 10 terms of the geometric series \( 2x^2 - 3x + 1 \) with common ratio \( r = 2 \).

Correct A. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + cdots + 2x^2 - 3x + 1 \)

B. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + cdots + 2x^2 - 3x + 1 \)

C. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + cdots + 2x^2 - 3x + 1 \)

D. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + cdots + 2x^2 - 3x + 1 \)

Correct Answer: A

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

Question 19

Solve the equation \( 2^x + 3^x = 5^x \) for ( x ).

A. \( x = 2 \)

Correct B. \( x = 3 \)

C. \( x = 4 \)

D. \( x = 5 \)

Correct Answer: B

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

Question 20

A random variable ( X ) has a probability distribution given by \( P\( X = x \ \) = \frac{1}{2} ) for \( x = 1, 2, 3 \). Find the expected value of ( X ).

A. ( 2 )

Correct B. ( 3 )

C. ( 4 )

D. ( 5 )

Correct Answer: B

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

Question 21

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

Correct A. \( y = \frac{1}{2}x + \frac{1}{2} \)

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

C. \( y = -2x + 7 \)

D. \( y = \frac{1}{2}x - 2 \)

Correct Answer: A

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

Question 22

A circle has a radius of 5 cm. Find the area of the circle.

A. ( 50pi ) cm^2

Correct B. ( 25pi ) cm^2

C. ( 100pi ) cm^2

D. ( 75pi ) cm^2

Correct Answer: B

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

Question 23

Find the volume of the cylinder with radius 4 cm and height 10 cm.

Correct A. ( 160pi ) cm^3

B. ( 80pi ) cm^3

C. ( 320pi ) cm^3

D. ( 240pi ) cm^3

Correct Answer: A

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

Question 24

Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).

A. ( 32 )

Correct B. ( 64 )

C. ( 16 )

D. ( 128 )

Correct Answer: B

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

Question 25

Find the sum of the first 10 terms of the arithmetic progression 2, 5, 8, ...

A. ( 55 )

B. ( 65 )

Correct C. ( 75 )

D. ( 85 )

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