Exam Body

Year

Subject

Paper Type

POST UTME BELLS UNIVERSITY 2023 Mathematics | Objective

Prepare for your exams with POST UTME BELLS UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

Find the area under the curve $y = \frac{1}{2}x^2$ from $x = 0$ to $x = 4$.

Correct A. ( 8 )

B. ( 16 )

C. ( 32 )

D. ( 64 )

Correct Answer: A

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

Question 2 View Details

A random variable ( X ) has a probability distribution given by $P X = x \$ = $frac{1}{2}$\) ) for \$frac{1}{2})\(x = 1, 2, 3$. Find the probability that ( X ) is greater than 2.

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

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

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

D. $\frac{1}{2}$

Correct Answer: C

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

Question 3 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.

A. ( 0.1587 )

B. ( 0.3413 )

C. ( 0.5 )

Correct D. ( 0.8413 )

Correct Answer: D

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

Question 4 View Details

Find the derivative of the function $y = \sin^2 x \$ ) using the chain rule.

A. $\cos^2 x \$ )

Correct B. $2$1x$\cos(x \) )

C. $2$1x$\cos(x \) )

D. $2\sin^2 x$\cos(x \) )

Correct Answer: B

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

Question 5 View Details

A surd (\sqrt[3]{27}\) can be expressed in the form \$(sqrt[3]{27}\(a + b\sqrt[3]{c}$. Find the values of ( a ), ( b ), and ( c ).

Correct A. $a = 3, b = 1, c = 3$

B. $a = 3, b = 2, c = 3$

C. $a = 2, b = 1, c = 3$

D. $a = 1, b = 2, c = 3$

Correct Answer: A

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

Question 6 View Details

Solve the quadratic equation $x^2 + 4x + 4 = 0$ using the quadratic formula.

A. $x = -2 \$

Correct B. $x = 2 \$

C. $x = -1 \$

D. $x = 1 \$

Correct Answer: B

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

Question 7 View Details

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 8 View Details

Solve the trigonometric equation $\sin^2 x \$ + \$\cos^2(x)$ = 1 ) for ( x ).

Correct A. $x = \frac{\pi}{4} \$

B. $x = \frac{\pi}{2} \$

C. $x = \frac{3\pi}{4} \$

D. $x = \frac{\pi}{6} \$

Correct Answer: A

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

Question 9 View Details

A vector ($\vec{a}$\) is represented by the diagram below. What is the magnitude of \$(vec{a}\(\vec{a}$?

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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

Question 10 View Details

A polynomial function ( f(x) = $(x^3 - 6x^2 + 11x - 6$\) ) is shown below. What is the value of $f -1 \\((x^3 - 6x^2 + 11x - 6) ) is shown below. What is the value of \$ )?

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 11 View Details

Find the area under the curve $y = \frac{1}{2}x^2 + 3x - 2$ from $x = 0$ to $x = 4$.

A. 64

B. 80

Correct C. 96

D. 112

Correct Answer: C

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

Question 12 View Details

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

Correct A. \left$-\infty, -\frac{3}{2} \right$ \cup \left$\frac{1}{2}, \infty \right$

B. \left$-\infty, -\frac{1}{2} \right$ \cup \left$\frac{3}{2}, \infty \right$

C. \left$-\infty, \frac{1}{2} \right$ \cup \left$\frac{3}{2}, \infty \right$

D. \left$-\infty, -\frac{3}{2} \right$ \cup \left$\frac{1}{2}, \infty \right$

Correct Answer: A

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

Question 13 View Details

Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).

Correct A. \left$x - 2 \right$^2 + \left$y - 3 \right$^$2 = 16$

B. \left$x - 3 \right$^2 + \left$y - 2 \right$^$2 = 16$

C. \left$x - 4 \right$^2 + \left$y - 3 \right$^$2 = 16$

D. \left$x - 2 \right$^2 + \left$y - 4 \right$^$2 = 16$

Correct Answer: A

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

Question 14 View Details

Find the vector ( mathbf{a} ) such that $\mathbf{a} \cdot \mathbf{b} = 10$ and $\mathbf{a} \cdot \mathbf{c} = 5$, where $\mathbf{b} = 2\mathbf{i} + 3\mathbf{j}$ and $\mathbf{c} = \mathbf{i} - \mathbf{j}$.

Correct A. \mathbf{a}$= 3mathbf${i} + 2mathbf{j}

B. \mathbf{a}$= 2mathbf${i} + 3mathbf{j}

C. \mathbf{a}$= mathbf${i} + 2mathbf{j}

D. \mathbf{a}$= 4mathbf${i} + mathbf{j}

Correct Answer: A

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

Question 15 View Details

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

A. $\frac{8}{3}$\)

Correct B. $\frac{16}{3}$\)

C. $\frac{32}{3}$\)

D. $\frac{64}{3}$\)

Correct Answer: B

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

Question 16 View Details

Determine the value of $\int_{0}^{\pi} \sin^2 x \cos^2 x \, dx$.

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

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

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

Correct D. $\frac{\pi}{8}$\)

Correct Answer: D

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

Question 17 View Details

Let $A = \begin{pmatrix} 2 & 1 \ 1 & 2 \end{pmatrix}$. Find the eigenvalues of $A^2$.

Correct A. -3

B. -1

C. 1

D. 3

Correct Answer: A

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

Question 18 View Details

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

Correct A. $\frac{\pi}{4}$\)

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

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

D. $\frac{\pi}{6}$\)

Correct Answer: A

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

Question 19 View Details

Determine the value of $\sum_{n = 1}^{\infty} \frac{1}{n^2 + 1}$.

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

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

C. $\frac{\pi}{6}$\)

D. $\frac{\pi}{8}$\)

Correct Answer: A

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

Question 20 View Details

Let (f(x) = $\frac{\(x^2 - 4}{x - 2}$\)\). Find the domain of \$(f(x) = frac{x^2 - 4}{x - 2}\(f(x)$.

Correct A. $-\infty, 2$ \cup $2, \infty$

B. $-\infty, 2$ \cup (2, 4]

C. $-\infty, 2$ \cup $4, \infty$

D. (2, 4]

Correct Answer: A

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

Question 21 View Details

Find the value of $\int_{0}^{\pi} \frac{1}{1+\sin^2x} dx$.

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

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

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

D. $\frac{\pi}{6}$\)

Correct Answer: A

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

Question 22 View Details

Solve the inequality $|x-2| > 3$.

Correct A. $-\infty, -1$ \cup $5, \infty$

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

C. $-\infty, -5$ \cup $1, \infty$

D. $-\infty, 5$ \cup $1, \infty$

Correct Answer: A

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

Question 23 View Details

Find the equation of the line passing through the points $-2, 3$\) and $1, -2$\).

Correct A. $y = -$$\frac{5}{3}$\) x + $\frac{11}{3}$\)

B. $y =$$\frac{5}{3}$\) x - $\frac{11}{3}$\)

C. $y = -$$\frac{3}{5}$\) x + $\frac{11}{5}$\)

D. $y =$$\frac{3}{5}$\) x - $\frac{11}{5}$\)

Correct Answer: A

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

Question 24 View Details

A binary operation (\circ\) is defined as \$(circ\(a circ b = ab + 2$. Find the value of $2 \\(circ b = ab + 2). Find the value of \circ 3$.

A. 8

Correct B. 10

C. 12

D. 14

Correct Answer: B

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

Question 25 View Details

Find the value of $\sum_{n = 1}^{5} \frac{1}{n^2}$.

Correct A. $\frac{25}{12}$\)

B. $\frac{27}{12}$\)

C. $\frac{29}{12}$\)

D. $\frac{31}{12}$\)

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