Exam Body

Year

Subject

Paper Type

POST UTME BSU 2025 Mathematics | Objective

Are you preparing for POST UTME BSU 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 area under the curve $ y = \frac{1}{2}x^2 $ from $ x = 0 $ to $ x = 4 $.

Correct A. $ \frac{16}{3} $

B. $ \frac{32}{3} $

C. $ \frac{64}{3} $

D. $ \frac{128}{3} $

Correct Answer: A

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

Question 2

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

A. $ x = 10^2 $

Correct B. $ x = 10^4 $

C. $ x = 10^{-2} $

D. $ x = 10^{-4} $

Correct Answer: B

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

Question 3

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 4

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

Correct A. ( f'(x) = \frac{-2x}{$ x^2 + 1 $^2} )

B. ( f'(x) = \frac{2x}{$ x^2 + 1 $^2} )

C. ( f'(x) = \frac{2}{$ x^2 + 1 $^2} )

D. ( f'(x) = \frac{-2}{$ x^2 + 1 $^2} )

Correct Answer: A

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

Question 5

Find the vector ( mathbf{v} ) that satisfies the equation $ mathbf{v} cdot mathbf{i} = 3 $ and $ mathbf{v} cdot mathbf{j} = 4 $.

Correct A. $ mathbf{v} = 3mathbf{i} + 4mathbf{j} $

B. $ mathbf{v} = 4mathbf{i} + 3mathbf{j} $

C. $ mathbf{v} = 3mathbf{i} - 4mathbf{j} $

D. $ mathbf{v} = 4mathbf{i} - 3mathbf{j} $

Correct Answer: A

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

Question 6

Find the area under the curve of ( f(x) = \frac{1}{x^2 + 1} ) from $ x = 0 $ to $ x = 1 $.

Correct A. $ \frac{pi}{2} $

B. $ \frac{pi}{4} $

C. $ \frac{pi}{3} $

D. $ \frac{pi}{5} $

Correct Answer: A

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

Question 7

Solve the inequality $ 2x^2 + 5x - 3 > 0 $.

Correct A. $ x < -1 $ or $ x > \frac{3}{2} $

B. $ x < -1 $ or $ x < \frac{3}{2} $

C. $ x > -1 $ or $ x < \frac{3}{2} $

D. $ x < -1 $ or $ x > \frac{3}{2} $

Correct Answer: A

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

Question 8

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 = 4 )

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

D. $ x - 3 \ $^2 + $ y - 2 $^2 = 4 )

Correct Answer: A

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

Question 9

Find the sum of the first 10 terms of the geometric series with first term $ a = 2 $ and common ratio $ r = \frac{1}{2} $.

Correct A. $ 2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} $

B. $ 2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} $

C. $ 2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} $

D. $ 2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} $

Correct Answer: A

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

Question 10

Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).

Correct A. $ y = \frac{4}{2} \( x - 1 \ $ + 2 )

B. $ y = \frac{4}{2} \( x - 3 \ $ + 4 )

C. $ y = \frac{2}{2} \( x - 1 \ $ + 2 )

D. $ y = \frac{2}{2} \( x - 3 \ $ + 4 )

Correct Answer: A

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

Question 11

Let $X$ and $Y$ be indep\endent random variables with probability density functions $f_X(x) = \frac{1}{2}e^{-|x|}$ and $f_Y(y) = \frac{1}{2}e^{-|y|}$, respectively. Find the probability that $X+Y>0$.

A. \frac{1}{4}

B. \frac{1}{2}

Correct C. \frac{3}{4}

D. 1

Correct Answer: C

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

Question 12

Find the volume of the solid formed by rotating the region bounded by $y=x^2$, $y=0$, and $x=2$ about the $x$-axis.

A. \frac{32\pi}{5}

B. \frac{64\pi}{5}

Correct C. \frac{128\pi}{5}

D. \frac{256\pi}{5}

Correct Answer: C

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

Question 13

Solve the system of equations $\begin{cases} x^2+y^2=4 \ x+y=0 \end{cases}$.

A. \{(0,0)\}

B. \{(0,2), (0,-2)\}

C. \{(2,0), (-2,0)\}

Correct D. \{(2,0), $ -2,0 $, (0,2), (0,-2)\}

Correct Answer: D

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

Question 14

Find the value of $\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 15

Find the value of $\sqrt{\frac{1}{2}} + \sqrt{\frac{1}{3}}$.

A. \frac{1}{2}

B. \frac{1}{3}

Correct C. \frac{1}{\sqrt{6}}

D. \frac{1}{\sqrt{10}}

Correct Answer: C

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

Question 16

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. 0.25

B. 0.5

C. 0.75

D. 1

Correct Answer: A

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

Question 17

Solve the system of linear equations u\sing matrices: $ egin{cases} 2x + 3y = 7 \ x - 2y = -3 \end{cases} $.

Correct A. $ x = 2, y = 1 $

B. $ x = 1, y = 2 $

C. $ x = 3, y = 1 $

D. $ x = 1, y = 3 $

Correct Answer: A

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

Question 18

Find the value of $ \sin\( 2\theta \ $ ) given that $ \sin\( \theta \ $ = \frac{3}{5} ) and $ \cos\( \theta \ $ = \frac{4}{5} ).

Correct A. $ \frac{24}{25} $

B. $ \frac{16}{25} $

C. $ \frac{12}{25} $

D. $ \frac{20}{25} $

Correct Answer: A

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

Question 19

A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is greater than 70.

Correct A. 0.3413

B. 0.3415

C. 0.3417

D. 0.3419

Correct Answer: A

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

Question 20

Solve the quadratic equation: $ x^2 + 5x + 6 = 0 $.

Correct A. $ x = -2, x = -3 $

B. $ x = 2, x = 3 $

C. $ x = -1, x = -6 $

D. $ x = 1, x = 6 $

Correct Answer: A

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

Question 21

A random variable X has a probability distribution given by P$ X = 1 $ = 0.4, P$ X = 2 $ = 0.3, P$ X = 3 $ = 0.3. What is the expected value of X?

A. 1.2

Correct B. 1.5

C. 1.8

D. 2.1

Correct Answer: B

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

Question 22

In the diagram below, the circle has a radius of 4cm. What is the area of the shaded region?

Correct A. 12.56

B. 15.71

C. 18.85

D. 22.00

Correct Answer: A

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

Question 23

Solve the inequality $ 2x^2 + 5x - 3 \geq 0 $

A. $ -\infty, -1 $ \cup $ 3, \infty $

B. $ -\infty, -3 $ \cup $ 1, \infty $

Correct C. $ -\infty, -1 $ \cup $ 1, \infty $

D. $ -\infty, -3 $ \cup $ 3, \infty $

Correct Answer: C

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

Question 24

Find the sum of the first 10 terms of the geometric progression 2, 6, 18, ...

A. 123.5

Correct B. 124.5

C. 125.5

D. 126.5

Correct Answer: B

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

Question 25

A rec\tangular \tank has a length of 5m, a width of 3m, and a height of 2m. What is the volume of the \tank?

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

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