Exam Body

Year

Subject

Paper Type

POST UTME RSU 2023 Mathematics | Objective

Prepare for your exams with POST UTME RSU 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

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

Correct A. \(10^4\)

B. \(10^8\)

C. \(10^2\)

D. \(10^6\)

Correct Answer: A

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

Question 2 View Details

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

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

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

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

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

Correct Answer: A

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

Question 3 View Details

A box contains 5 red balls and 3 blue balls. If two balls are drawn at random, what is the probability that both balls are blue?

A. \(\frac{1}{14}\)\)

Correct B. \(\frac{3}{14}\)\)

C. \(\frac{1}{7}\)\)

D. \(\frac{3}{7}\)\)

Correct Answer: B

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

Question 4 View Details

In the circuit below, find the equivalent resistance between points A and B.

A. R1 + R2

Correct B. R1 || R2

C. R1 || R2 || V

D. R1 + R2 + V

Correct Answer: B

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

Question 5 View Details

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

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 6 View Details

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

Correct A. \(22.5 + 24 - 8 = 38.5\)

B. \(8 + 24 - 2 = 30\)

C. \(8 + 24 - 8 = 24\)

D. \(22.5 + 24 - 8 = 38.5\)

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 \(2x^2 - 5x + 3 = 0\).

Correct A. \(x = \frac{5 \pm \sqrt{25 - 24}}{4} = \frac{5 \pm 1}{4} \\)

B. \(x = \frac{5 \pm \sqrt{25 + 24}}{4} = \frac{5 \pm 7}{4} \\)

C. \(x = \frac{5 \pm \sqrt{25 - 24}}{2} = \frac{5 \pm 1}{2} \\)

D. \(x = \frac{5 \pm \sqrt{25 + 24}}{2} = \frac{5 \pm 7}{2} \\)

Correct Answer: A

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

Question 8 View Details

Find the determinant of the matrix \(\begin{bmatrix} 2 & 3 & 1 \\ 4 & 1 & 2 \\ 3 & 2 & 1 \end{bmatrix}\).

Correct A. \(2 1 - 4 \\) - 3\(8 - 6\) + 1\(8 - 3\)\(= -6 - 6 + 5\)= -7 )

B. \(2 1 - 4 \\) - 3\(8 - 6\) + 1\(8 - 3\)\(= -6 - 6 + 5\)= -7 )

C. \(2 1 - 4 \\) - 3\(8 - 6\) + 1\(8 - 3\)\(= -6 - 6 + 5\)= -7 )

D. \(2 1 - 4 \\) - 3\(8 - 6\) + 1\(8 - 3\)\(= -6 - 6 + 5\)= -7 )

Correct Answer: A

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

Question 9 View Details

Solve the inequality \(2x^2 + 5x - 3 > 0\).

Correct A. \(x < -\frac{5}{4} \\) or \(x > \frac{3}{2} \\)

B. \(x < -\frac{3}{2} \\) or \(x > \frac{5}{4} \\)

C. \(x < -\frac{3}{2} \\) or \(x > \frac{5}{4} \\)

D. \(x < -\frac{5}{4} \\) or \(x > \frac{3}{2} \\)

Correct Answer: A

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

Question 10 View Details

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

Correct A. \(\frac{1}{2} 3 \\)\((4) = 6\)\)

B. \(\frac{1}{2} 4 \\)\((3) = 6\)\)

C. \(\frac{1}{2} 3 \\)\((4) = 6\)\)

D. \(\frac{1}{2} 4 \\)\((3) = 6\)\)

Correct Answer: A

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

Question 11 View Details

A random variable X has a probability distribution given by P(X) = \(1/2\)^\(X-1\) for \(X = 1\), 2, 3, ... . Find the expected value of X.

A. 2

Correct B. 3

C. 4

D. 5

Correct Answer: B

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

Question 12 View Details

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

A. \(13/3\)

Correct B. \(14/3\)

C. \(15/3\)

D. \(16/3\)

Correct Answer: B

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

Question 13 View Details

A solid is formed by revolving the region bounded by \(y = x\^2\), \(y = 0\), and \(x = 2\) about the x-axis. Find the volume of the solid.

A. 16\\(\pi/5\)

B. 32\\(\pi/5\)

Correct C. 48\\(\pi/5\)

D. 64\\(\pi/5\)

Correct Answer: C

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

Question 14 View Details

Find the surface area of the solid formed by revolving the region bounded by \(y = x\^2\), \(y = 0\), and \(x = 2\) about the x-axis.

A. 32\\(\pi/5\)

Correct B. 48\\(\pi/5\)

C. 64\\(\pi/5\)

D. 80\\(\pi/5\)

Correct Answer: B

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 \(y = x\^2\), \(y = 0\), and \(x = 2\) about the y-axis.

A. 32\\(\pi/5\)

B. 48\\(\pi/5\)

Correct C. 64\\(\pi/5\)

D. 80\\(\pi/5\)

Correct Answer: C

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

Question 16 View Details

Determine the volume of the frustum of a cone with a height of 10 cm, a lower base radius of 4 cm, and an upper base radius of 2 cm.

A. 50\pi \(cm^3\)

Correct B. 75\pi \(cm^3\)

C. 100\pi \(cm^3\)

D. 125\pi \(cm^3\)

Correct Answer: B

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

Question 17 View Details

Solve the system of equations using matrices: \(\begin{array}{ccc} x+y+z & = & 6 \\ x+2y+3z & = & 11 \\ 2x+3y+4z & = & 14 \end{array}\)

Correct A. \(x = 1\), \(y = 2\), \(z = 3\)

B. \(x = 2\), \(y = 3\), \(z = 1\)

C. \(x = 3\), \(y = 1\), \(z = 2\)

D. \(x = 4\), \(y = 2\), \(z = 1\)

Correct Answer: A

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

Question 18 View Details

A histogram of exam scores is shown below. What is the mean score of the exam?

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 19 View Details

Solve the quadratic equation: \(x^2+4x+4 = 0\)

Correct A. \(x=-2\)

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 20 View Details

A right-angled triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Find the length of the other leg.

Correct A. 8 cm

B. 6 cm

C. 4 cm

D. 2 cm

Correct Answer: A

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

Question 21 View Details

Solve for x in the equation \(\sin^2 x + \cos^2 x = 1\) using the identity \(\sin^2 x + \cos^2 x = 1\).

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

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

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

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

Correct Answer: A

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

Question 22 View Details

A histogram of exam scores has a mean of 75 and a standard deviation of 10. What is the probability that a randomly selected score is between 60 and 90?

Correct A. 0.68

B. 0.80

C. 0.90

D. 0.95

Correct Answer: A

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

Question 23 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'\((x) =\)\(\frac{1}{x^2 + 1\) ^2}\)\) )

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

Correct Answer: A

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

Question 24 View Details

Evaluate the definite integral \(int_0^1 x^2 , dx\) using the power rule.

Correct A. \(\frac{1}{3}\)

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

C. \(\frac{2}{3}\)

D. \(\frac{1}{4}\)

Correct Answer: A

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

Question 25 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 + \(y - 3\)^\(2 = 9\) )

C. \(x - 2 \\)^2 + \(y - 3\)^\(2 = 25\) )

D. \(x - 2 \\)^2 + \(y - 3\)^\(2 = 36\) )

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