Exam Body

Year

Subject

Paper Type

POST UTME BOWEN UNIVERSITY 2025 Mathematics | Objective

Are you preparing for POST UTME BOWEN UNIVERSITY 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 \( \sin\( 2x \ \) = \frac{1}{2} ) given that ( 0 leq x leq 2pi ).

Correct A. \( \frac{pi}{6} \)

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

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

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

Correct Answer: A

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

Question 2

Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \) u\sing the method of 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 3

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

A. \( x = 2 \)

B. \( x = 3 \)

Correct C. \( x = 4 \)

D. \( x = 5 \)

Correct Answer: C

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

Question 4

A particle moves in a straight line with a velocity given by ( v(t) = 2t + 5 ). Find the displacement of the particle from \( t = 0 \) to \( t = 3 \).

A. ( 27 )

B. ( 30 )

Correct C. ( 33 )

D. ( 36 )

Correct Answer: C

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

Question 5

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

Correct A. ( 16pi )

B. ( 32pi )

C. ( 64pi )

D. ( 128pi )

Correct Answer: A

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

Question 6

Find the area under the curve \( y = x^2 + 2x + 1 \) from \( x = 0 \) to \( x = 2 \).

Correct A. 10

B. 12

C. 14

D. 16

Correct Answer: A

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

Question 7

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

Correct A. 25\pi

B. 50\pi

C. 75\pi

D. 100\pi

Correct Answer: A

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

Question 8

Find the volume of a rec\tangular prism with length 10 cm, width 5 cm, and height 3 cm.

Correct A. 150

B. 200

C. 250

D. 300

Correct Answer: A

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

Question 9

A histogram has a mean of 25 and a s\tandard deviation of 5. Find the median.

A. 20

Correct B. 25

C. 30

D. 35

Correct Answer: B

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

Question 10

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

A. y = 1x + 1

Correct B. y = 2x + 1

C. y = 3x + 1

D. y = 4x + 1

Correct Answer: B

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

Question 11

Find the area under the curve \( y = \frac{1}{2}x^2 \) 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 12

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

Correct A. \( -∞, -1 \) ∪ (3, ∞)

B. \( -∞, 1 \) ∪ (3, ∞)

C. \( -∞, -1 \) ∪ (1, ∞)

D. \( -∞, 3 \) ∪ (1, ∞)

Correct Answer: A

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

Question 13

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

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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

Question 14

Solve the equation \( x^3 - 2x^2 - 5x + 6 = 0 \).

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 15

Find the area of the triangle with vertices ( A(1, 2) ), ( B(3, 4) ), and ( C(2, 1) ).

A. 3

B. 6

Correct C. 9

D. 12

Correct Answer: C

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

Question 16

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

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

B. \( x < -2 \) or \( x < 1 \)

C. \( x > -2 \) or \( x > 1 \)

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

Correct Answer: A

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

Question 17

Find the derivative of the function ( f(x) = \sin^2(x) ) u\sing the chain rule.

Correct A. ( f'(x) = 2\sin\( x)\cos(x \) )

B. ( f'(x) = \sin(x) + \cos(x) )

C. ( f'(x) = 2\sin^2(x) )

D. ( f'(x) = \cos^2(x) )

Correct Answer: A

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

Question 18

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

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

B. \( x = \frac{pi}{2}, \frac{3pi}{2} \)

C. \( x = 0, pi, 2pi \)

D. \( x = \frac{pi}{6}, \frac{5pi}{6} \)

Correct Answer: A

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

Question 19

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

A. ( 30 ) cm³

B. ( 50 ) cm³

Correct C. ( 60 ) cm³

D. ( 70 ) cm³

Correct Answer: C

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

Question 20

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

Correct A. \( x = -2 \)

B. \( x = -1 \)

C. \( x = 0 \)

D. \( x = 1 \)

Correct Answer: A

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

Question 21

Given that \( \sin^2 x + \cos^2 x = 1 \), find the value of \( \tan^2 x \) in terms of \( \sin x \) and \( \cos x \).

Correct A. \( \frac{\sin^2 x}{\cos^2 x} \)

B. \( \frac{\cos^2 x}{\sin^2 x} \)

C. \( \frac{1}{\sin^2 x \cos^2 x} \)

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

Correct Answer: A

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

Question 22

A histogram 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 is between 60 and 90?

Correct A. \( P\( 60 < X < 90 \) = \frac{1}{2} \)

B. \( P\( 60 < X < 90 \) = \frac{1}{4} \)

C. \( P\( 60 < X < 90 \) = \frac{3}{4} \)

D. \( P\( 60 < X < 90 \) = \frac{1}{3} \)

Correct Answer: A

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

Question 23

Find the volume of the solid formed by revolving the region bounded by the curve \( y = x^2 \), the x-axis, and the line \( x = 2 \) about the x-axis.

Correct A. \( V = \frac{\pi}{3} \)

B. \( V = \frac{\pi}{2} \)

C. \( V = \frac{\pi}{4} \)

D. \( V = \frac{\pi}{6} \)

Correct Answer: A

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

Question 24

A circle has a radius of 4 cm. If a chord of the circle is 6 cm long, what is the angle subt\ended by the chord at the center of the circle?

Correct A. \( \theta = \frac{1}{2} \sin^{-1} \frac{3}{4} \)

B. \( \theta = \frac{1}{2} \sin^{-1} \frac{1}{2} \)

C. \( \theta = \frac{1}{2} \sin^{-1} \frac{3}{5} \)

D. \( \theta = \frac{1}{2} \sin^{-1} \frac{2}{3} \)

Correct Answer: A

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

Question 25

A particle moves in a straight line with a velocity of 5 m/s. If the acceleration of the particle is 2 m/s^2, what is the dis\tance traveled by the particle in 4 seconds?

Correct A. \( s = 20 \)

B. \( s = 25 \)

C. \( s = 30 \)

D. \( s = 35 \)

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