Exam Body

Year

Subject

Paper Type

POST UTME RHEMA UNIVERSITY 2024 Mathematics | Objective

Prepare for your exams with POST UTME RHEMA UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 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 volume of the solid formed by rotating the region bounded by \(y = x^2\) and \(y = 4\) about the x-axis.

Correct A. \(\frac{64\pi}{3}\)\)

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

C. \(\frac{16\pi}{3}\)\)

D. \(\frac{8\pi}{3}\)\)

Correct Answer: A

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

Question 2 View Details

Solve for x in the equation \(\log_{2} x-1\) + \log_{2}\(x+1\)\(= 2\)\).

Correct A. \(x = 3\)

B. \(x = 2\)

C. \(x = 1\)

D. \(x=-1\)

Correct Answer: A

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

Question 3 View Details

A right circular cylinder has a height of 10 cm and a radius of 4 cm. Find the surface area of the cylinder.

A. 160\pi

Correct B. 200\pi

C. 240\pi

D. 280\pi

Correct Answer: B

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

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'\((x) =\)\(\frac{-x}{x^2+1\) ^2}\)\)

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

Correct Answer: A

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

Question 5 View Details

A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the volume of the prism.

Correct A. 72

B. 80

C. 84

D. 90

Correct Answer: A

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

Question 6 View Details

Find the area under the curve \(y = 2x\^2 + 3x - 4\) from \(x = 0\) to \(x = 2\).

Correct A. \(\frac{8}{3}\)\)

B. \(\frac{16}{3}\)\)

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

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

Correct Answer: A

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

Question 7 View Details

Solve for x in 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 8 View Details

A binary operation ast is defined as a \ast \(b = ab + 2\\(ast is defined as a ast\). Find the value of 3 \ast 4.

A. 14

B. 16

Correct C. 18

D. 20

Correct Answer: C

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

Question 9 View Details

A random experiment consists of rolling a fair six-sided die. If the number rolled is even, the experiment is repeated. If the number rolled is odd, the experiment stops. What is the probability that the experiment will stop after exactly two rolls?

A. \(\frac{1}{6}\)\)

B. \(\frac{1}{3}\)\)

C. \(\frac{1}{2}\)\)

Correct D. \(\frac{2}{3}\)\)

Correct Answer: D

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

Question 10 View Details

A histogram of exam scores has a mean of 75 and a standard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score will be between 60 and 90?

A. 0.5

B. 0.6

Correct C. 0.7

D. 0.8

Correct Answer: C

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

Question 11 View Details

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

Correct A. \boxed{ x - 2 ^2 + y - \(3 ^2 = 16\)}

B. \(x - 2\)^2 + \(y - 3\)^\(2 = 20\)

C. \(x - 2\)^2 + \(y - 3\)^\(2 = 12\)

D. \(x - 2\)^2 + \(y - 3\)^\(2 = 8\)

Correct Answer: A

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

Question 12 View Details

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

Correct A. \boxed{\(x < -2\)\text{ or } \(x > 1\)}

B. \(x < -2\)\text{ or } \(x < 1\)

C. \(x > -2\)\text{ or } \(x > 1\)

D. \(x < -2\)\text{ or } \(x < 1\)

Correct Answer: A

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

Question 13 View Details

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

Correct A. \boxed{-\(\frac{2x}{x^2 + 1\) ^2}\)\)}

B. \(\frac{2x}{x^2 + 1\) ^2}\)\)

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

D. \(\frac{2x^2}{\) \(x^2 + 1\) ^2}\)\)

Correct Answer: A

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

Question 14 View Details

Solve the equation \\((x^2 + 4x - 5\)\(= 0\)\) using the quadratic formula.

Correct A. \boxed{\(x = -5\)\text{ or } \(x = 1\)}

B. \(x = -1\)\text{ or } \(x = 5\)

C. \(x = -2\)\text{ or } \(x = 2\)

D. \(x = -3\)\text{ or } \(x = 3\)

Correct Answer: A

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

Question 15 View Details

Find the sum of the first 5 terms of the geometric series with first term 2 and common ratio 3.

Correct A. \boxed{2 + 6 + 18 + 54 + 162}

B. 2 + 6 + 18 + 54 + 162 + 486

C. 2 + 6 + 18 + 54 + 162 - 486

D. 2 + 6 + 18 + 54 + 162 + 243

Correct Answer: A

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

Question 16 View Details

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

A. 2x

B. -2x

Correct C. \(\frac{-2x}{x^2 + 1\) ^2}\)\)

D. \(\frac{2x}{x^2 + 1\) ^2}\)\)

Correct Answer: C

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

Question 17 View Details

A vector \(\vec{a}\) has components \(a_x = 3\) and \(a_y = 4\). Find the magnitude of the vector.

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 18 View Details

A solid cylinder has a radius of 4 cm and a height of 10 cm. Find the volume of the cylinder.

A. 800\pi

Correct B. 1600\pi

C. 3200\pi

D. 6400\pi

Correct Answer: B

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

Question 19 View Details

A polynomial function is defined as ( f(x) = \(x^3 - 6x^2 + 9x + 2\) ). Find the derivative of the function.

Correct A. \(3x^2 - 12x + 9\)

B. \(3x^2 - 12x + 10\)

C. \(3x^2 - 12x + 11\)

D. \(3x^2 - 12x + 12\)

Correct Answer: A

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

Question 20 View Details

A sequence is defined as \(a_n = 2n + 1\). Find the sum of the first 5 terms of the sequence.

A. 15

B. 20

C. 25

Correct D. 30

Correct Answer: D

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

Question 21 View Details

Solve for x in the quadratic equation \(x^2 + 5x + 6 = 0\).

A. 2

Correct B. -3

C. -2

D. 1

Correct Answer: B

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

Question 22 View Details

A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is not blue?

Correct A. 0.4

B. 0.6

C. 0.8

D. 0.2

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 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 24 View Details

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

A. \(x =\)\(\frac{\pi}{2}\)\)

Correct B. \(x =\)\(\frac{\pi}{4}\)\)

C. \(x =\)\(\frac{3\pi}{4}\)\)

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

Correct Answer: B

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

Question 25 View Details

A company produces x units of a product and incurs a cost of ( C(x) = \(2x^2 + 10x + 5\) \\(cost of ( C(x) = (2x^2 + 10x + 5\) naira. Find the marginal \cost when \(x = 10\).

A. 20

Correct B. 30

C. 40

D. 50

Correct Answer: B

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