Exam Body

Year

Subject

Paper Type

POST UTME RHEMA UNIVERSITY 2022 Mathematics | Objective

Are you preparing for POST UTME RHEMA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 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. ( 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

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

A. $ x = 1 $

Correct B. $ x = 2 $

C. $ x = 3 $

D. $ x = 4 $

Correct Answer: B

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

Question 3

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?

A. ( 0.9544 )

Correct B. ( 0.9772 )

C. ( 0.9987 )

D. ( 0.9999 )

Correct Answer: B

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

Question 4

Find the determinant of the matrix $ egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} $.

Correct A. $ -1 $

B. ( 0 )

C. ( 1 )

D. ( 2 )

Correct Answer: A

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

Question 5

A vector ( mathbf{a} ) has a magnitude of 5 and makes an angle of 30° with the positive x-axis. Find the x-component of ( mathbf{a} ).

Correct A. ( 2.5 )

B. ( 3.5 )

C. ( 4.5 )

D. ( 5.5 )

Correct Answer: A

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

Question 6

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

A. 0

Correct B. \frac{\pi}{2}

C. \frac{\pi}{4}

D. \frac{\pi}{8}

Correct Answer: B

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

Question 7

Solve the matrix equation $\begin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 4 \end{bmatrix}$ for $x$ and $y$.

Correct A. x = 1, y = 2

B. x = 2, y = 1

C. x = 1, y = 1

D. x = 2, y = 2

Correct Answer: A

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

Question 8

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

Correct A. \frac{\cos^2 x}{$ 1+\sin^2 x $^2}

B. \frac{\sin^2 x}{$ 1+\sin^2 x $^2}

C. \frac{1}{$ 1+\sin^2 x $^2}

D. \frac{\cos x}{$ 1+\sin^2 x $^2}

Correct Answer: A

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

Question 9

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

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

B. x = \frac{3\pi}{4}

C. x = \frac{\pi}{2}

D. x = \frac{5\pi}{4}

Correct Answer: A

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

Question 10

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

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

B. \frac{\pi}{4}

C. \frac{\pi}{8}

D. \frac{\pi}{16}

Correct Answer: A

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

Question 11

Find the volume of the solid formed by revolving the region bounded by the curves y = x^2 and y = 4 - x^2 about the x-axis.

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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

Question 12

Solve the equation \frac{1}{2} \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 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 = 25

C. $ x-2 $^2 + $ y-3 $^2 = 36

D. $ x-2 $^2 + $ y-3 $^2 = 49

Correct Answer: A

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

Question 14

Solve the inequality \frac{x-2}{x+1} > 0.

Correct A. $ -\\infty, -1 $ \\cup $ 2, \\infty $

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

C. $ -\\infty, 1 $ \\cup $ 2, \\infty $

D. $ -\\infty, 1 $ \\cup $ 2, \\infty $

Correct Answer: A

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

Question 15

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

Correct A. y = 2x + 2

B. y = 2x - 2

C. y = x + 2

D. y = x - 2

Correct Answer: A

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

Question 16

Solve the equation x^2 + 4x + 4 = 0.

Correct A. x = -2

B. x = -1

C. x = 1

D. x = 2

Correct Answer: A

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

Question 17

Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).

Correct A. 6

B. 12

C. 18

D. 24

Correct Answer: A

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

Question 18

Solve the inequality x^2 - 6x + 8 > 0.

Correct A. $ -\\infty, 2 $ \\cup $ 4, \\infty $

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

C. (2, 4)

D. (2, 4)

Correct Answer: A

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

Question 19

Find the equation of the circle with center (1, 2) and radius 3.

A. $ x-1 $^2 + $ y-2 $^2 = 9

B. $ x-1 $^2 + $ y-2 $^2 = 16

C. $ x-1 $^2 + $ y-2 $^2 = 25

D. $ x-1 $^2 + $ y-2 $^2 = 36

Correct Answer: VIEW ANSWER

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

Question 20

Find the derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.

A. \frac{2x$ x^2 - 4 $ - $ x^2 + 2x - 3 $(2x)}{$ x^2 - 4 $^2}

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

Correct C. \frac{2x$ x^2 - 4 $ - $ x^2 + 2x - 3 $(2x)}{$ x^2 - 4 $^2}

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

Correct Answer: C

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

Question 21

Solve the system of linear equations u\sing the method of substitution: \begin{align*} x + y &= 4 \ 2x - 3y &= 5 \end{align*}

Correct A. \begin{align*} x &= 3 \ y &= 1 \end{align*}

B. \begin{align*} x &= 1 \ y &= 3 \end{align*}

C. \begin{align*} x &= 2 \ y &= 2 \end{align*}

D. \begin{align*} x &= 4 \ y &= 0 \end{align*}

Correct Answer: A

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

Question 22

Find the volume of the solid formed by revolving the region bounded by the curves $y = x^2$ and $y = 4 - x^2$ about the x-axis.

A. \frac{16\pi}{3}

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

Correct C. \frac{64\pi}{3}

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

Correct Answer: C

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

Question 23

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

Correct A. \{x : x < -1 \text{ or } x > 5\}

B. \{x : x < -1 \text{ or } x > 4\}

C. \{x : x < 1 \text{ or } x > 5\}

D. \{x : x < 1 \text{ or } x > 4\}

Correct Answer: A

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

Question 24

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

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

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

Correct Answer: A

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

Question 25

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

Correct A. \cos^2 x

B. \sin^2 x

C. \tan^2 x

D. \cot^2 x

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