Exam Body

Year

Subject

Paper Type

POST UTME RSU 2025 Mathematics | Objective

Are you preparing for POST UTME RSU 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

Determine the value of ( x ) in the equation \( \frac{x}{2} + 5 = 11 \).

Correct A. 4

B. 6

C. 8

D. 10

Correct Answer: A

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

Question 2

A histogram of exam scores is shown below. If the mean score is 75, and the s\tandard deviation is 10, what is the area under the curve between 60 and 80?

A. 0.5

Correct B. 1.0

C. 1.5

D. 2.0

Correct Answer: B

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

Question 3

Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).

A. -2

Correct B. 0

C. 2

D. 4

Correct Answer: B

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

Question 4

A right triangle has a hypotenuse of length 10 and one leg of length 6. What is the length of the other leg?

Correct A. 4

B. 6

C. 8

D. 10

Correct Answer: A

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

Question 5

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

Correct A. 16

B. 32

C. 64

D. 128

Correct Answer: A

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

Question 6

Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{array} ].

Correct A. -1

B. 1

C. 0

D. 2

Correct Answer: A

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

Question 7

A curve is defined by the equation [ y = \frac{1}{x^2 + 1} \]. Find the derivative of this function u\sing 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 8

Find the equation of the circle with center [ (3, 4) \] and radius [ 5 \].

Correct A. \left\( x - 3\right \)^2 + \left\( y - 4\right \)^2 = 25

B. \left\( x - 4\right \)^2 + \left\( y - 3\right \)^2 = 25

C. \left\( x - 3\right \)^2 + \left\( y - 3\right \)^2 = 25

D. \left\( x - 4\right \)^2 + \left\( y - 4\right \)^2 = 25

Correct Answer: A

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

Question 9

A rec\tangular box has dimensions [ 5 \text{ cm} \times 10 \text{ cm} \times 15 \text{ cm} \]. Find its surface area.

A. 250 \text{ cm}^2

B. 300 \text{ cm}^2

Correct C. 350 \text{ cm}^2

D. 400 \text{ cm}^2

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 [ 5 \]. Find the z-score of a score of [ 80 \].

Correct A. 0.4

B. 0.6

C. 0.8

D. 1.0

Correct Answer: A

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

Question 11

In the complex plane, let \( z_1 = 2 + 3i \) and \( z_2 = 4 - 5i \). Find the product \( z_1 cdot z_2 \) in the form \( a + bi \).

Correct A. -23 + 7i

B. 23 + 7i

C. -7 + 23i

D. 7 - 23i

Correct Answer: A

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

Question 12

A fair six-sided die is rolled. What is the probability that the number obtained is a multiple of 3?

A. \frac{1}{6}

B. \frac{1}{3}

Correct C. \frac{2}{3}

D. \frac{5}{6}

Correct Answer: C

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

Question 13

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 = 16

C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16

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

Correct Answer: A

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

Question 14

Let \( A = \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \). Find the determinant of ( A ).

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

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

Question 15

Solve the trigonometric equation \( 2 \sin^2 x + 3 \cos x - 1 = 0 \).

A. x = \frac{\pi}{6} + 2k\pi

Correct B. x = \frac{\pi}{3} + 2k\pi

C. x = \frac{\pi}{4} + 2k\pi

D. x = \frac{\pi}{2} + 2k\pi

Correct Answer: B

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

Question 16

Find the derivative of the function ( f(x) = \frac{1}{2x^2 + 5x + 3} ) u\sing the quotient rule.

Correct A. \( \frac{-2x + 5}{\( 2x^2 + 5x + 3 \ \)^2} )

B. \( \frac{2x + 5}{\( 2x^2 + 5x + 3 \ \)^2} )

C. \( \frac{2x^2 + 5x + 3}{\( 2x^2 + 5x + 3 \ \)^2} )

D. \( \frac{2x^2 + 5x + 3}{\( 2x^2 + 5x + 3 \ \)^2} )

Correct Answer: A

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

Question 17

Solve the system of equations u\sing matrices: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 7 \ 10 \end{bmatrix} \).

A. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 1 \ 2 \end{bmatrix} \)

Correct B. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 2 \ 1 \end{bmatrix} \)

C. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix} \)

D. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 4 \ 3 \end{bmatrix} \)

Correct Answer: B

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

Question 18

A box contains 5 red balls and 3 blue balls. If two balls are drawn at random, what is the probability that they are of different colors?

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

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

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

D. \( \frac{2}{3} \)

Correct Answer: C

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

Question 19

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

Correct A. \( \frac{64}{3} \)

B. \( \frac{32}{3} \)

C. \( \frac{16}{3} \)

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

Correct Answer: A

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

Question 20

Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for ( x ) in the interval ( [0, 2pi] ).

A. \( x = \frac{pi}{4}, \frac{3pi}{4} \)

B. \( x = \frac{pi}{4}, \frac{5pi}{4} \)

Correct C. \( x = \frac{pi}{4}, \frac{3pi}{4}, \frac{5pi}{4}, \frac{7pi}{4} \)

D. \( x = \frac{pi}{4}, \frac{3pi}{4}, \frac{5pi}{4} \)

Correct Answer: C

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

Question 21

Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 1 \ 4 & 5 & 2 \ 1 & 2 & 3 \end{array} ].

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

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

Question 22

Solve the equation [ 2x^2 + 5x - 3 = 0 ] u\sing the quadratic formula.

Correct A. x = \frac{-5 \pm \sqrt{5^2 - 4 \cdot 2 \cdot \( -3 \)}}{2 \cdot 2}

B. x = \frac{-5 \pm \sqrt{5^2 - 4 \cdot 2 \cdot 3}}{2 \cdot 2}

C. x = \frac{-5 \pm \sqrt{5^2 - 4 \cdot 2 \cdot \( -3 \)}}{2 \cdot 2}

D. x = \frac{-5 \pm \sqrt{5^2 - 4 \cdot 2 \cdot 3}}{2 \cdot 2}

Correct Answer: A

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

Question 23

Find the mean and s\tandard deviation of the data set [ 2, 4, 6, 8, 10 ].

Correct A. \bar{x} = 6, \sigma = 2

B. \bar{x} = 6, \sigma = 3

C. \bar{x} = 6, \sigma = 4

D. \bar{x} = 6, \sigma = 5

Correct Answer: A

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

Question 24

Find the derivative of the function [ f(x) = \frac{1}{x^2} \].

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

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

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

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

Correct Answer: A

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

Question 25

Solve the inequality [ 2x^2 + 3x - 1 > 0 \].

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

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

C. x > -\frac{1}{2} \text{ or } x < \frac{1}{2}

D. x > -\frac{1}{2} \text{ or } x > \frac{1}{2}

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