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POST UTME BSU 2025 Mathematics | Objective

Prepare for your exams with POST UTME BSU 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.

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Question 1 View Details

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

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Question 2 View Details

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

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Question 3 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 + $y - 3$^$2 = 16$ )

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

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

Correct Answer: A

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Question 4 View Details

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

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Question 5 View Details

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

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

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

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

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

Correct Answer: A

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Question 6 View Details

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

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Question 7 View Details

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

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Question 8 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 + $y - 3$^$2 = 4$ )

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

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

Correct Answer: A

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Question 9 View Details

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

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Question 10 View Details

Find the equation of the line passing 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

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Question 11 View Details

Let $X$ and $Y$ be independent 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 $X+Y > 0\\(frac{1}{2}e^{-|y|}), respectively. Find the probability that$.

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

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

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

D. 1

Correct Answer: C

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Question 12 View Details

Find the volume of the solid formed by rotating the region bounded by $y = x^2$, $y = 0$), and $x = 2$ about the \$), and (x = 2\(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

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Question 13 View Details

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

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Question 14 View Details

Find the value of $\log_{10} x^2$$= 4$\).

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 15 View Details

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

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Question 16 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. 0.25

B. 0.5

C. 0.75

D. 1

Correct Answer: A

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Question 17 View Details

Solve the system of linear equations using 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

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Question 18 View Details

Find the value of $\(12\theta \$ ) given that 1\theta \\) = $\frac{3}{5}$\) ) and $$1\theta \$ = $\frac{4}{5}$\) ).

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

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

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

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

Correct Answer: A

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Question 19 View Details

A histogram of exam scores has a mean of 60 and a standard 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

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Question 20 View Details

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

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Question 21 View Details

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

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Question 22 View Details

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

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Question 23 View Details

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

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Question 24 View Details

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

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Question 25 View Details

A rectangular \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

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