Exam Body

Year

Subject

Paper Type

POST UTME IMS U 2023 Mathematics | Objective

Prepare for your exams with POST UTME IMS U 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 value of x in the equation \(\log_{10} x^2 \\)\(= 4 )\)

Correct A. 10

B. 100

C. 1000

D. 10000

Correct Answer: A

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

Question 2 View Details

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

Correct A. \(-∞, -1\) ∪ (3, ∞)

B. \(-∞, -3\) ∪ (1, ∞)

C. \(-∞, 1\) ∪ (3, ∞)

D. \(-∞, -3\) ∪ (1, ∞)

Correct Answer: A

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

Question 3 View Details

In the diagram below, find the value of x.

A. 4

Correct B. 6

C. 8

D. 10

Correct Answer: B

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

Question 4 View Details

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

A. \(x = 0\)

Correct B. \(x =\)π/2

C. \(x =\)π

D. \(x = 2\)π

Correct Answer: B

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

Question 5 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. \(x - 3\)^2 + \(y - 2\)^\(2 = 16\)

C. \(x - 4\)^2 + \(y - 3\)^\(2 = 16\)

D. \(x - 3\)^2 + \(y - 4\)^\(2 = 16\)

Correct Answer: A

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

Question 6 View Details

Let \(X\) and \(Y\) be independent random variables with probability density functions (f_\(X(x) = 2x\)\) for \(0 < x < 1\\((f_X(x) = 2x) for\) and (f_\(Y(y) = \(3y^2\)\)\) for \(0 < y < 1\\((f_Y(y) = 3y^2) for\). Find the probability that \(X + Y < 1\).

Correct A. \(\frac{1}{2}\)\)

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

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

D. \(\frac{3}{4}\)\)

Correct Answer: A

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

Question 7 View Details

Solve the inequality \(\frac{x^2 - 4x + 3}{x^2 - 2x - 3} > 0\).

Correct A. \(-\infty, -1\) \cup \(3, \infty\)

B. \(-\infty, -3\) \cup \(1, \infty\)

C. \(-\infty, -3\) \cup \(-1, 1\) \cup \(3, \infty\)

D. \(-\infty, -3\) \cup (1, 3)

Correct Answer: A

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

Question 8 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. \(\frac{\pi}{6}\)\)

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

Correct Answer: A

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

Question 9 View Details

Let (a_\(n =\)\(\frac{1}{\(n^2}\)\)\) for \\((a_n = frac{1}{n^2}\(n = 1, 2, 3, dots\). Find the sum of the series \(\\(dots). Find the sum of the series \sum_{n = 1}^\infty a_n\).

Correct A. \(\frac{\pi^2}{6}\)\)\)

B. \(\frac{\pi^2}{12}\)\)\)

C. \(\frac{\pi^2}{24}\)\)\)

D. \(\frac{\pi^2}{36}\)\)\)

Correct Answer: A

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

Question 10 View Details

Solve the equation (\\(tan^2\) x + 2 \(1x - 1 = 0\) for \\((tan^2 x + 2\)\(1x - 1 = 0\)\(x) in the interval \([0, \\\() in the interval ([0, \pi]\).

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

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

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

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

Correct Answer: B

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

Question 11 View Details

In a survey of 100 students, 60 students preferred Mathematics, 30 students preferred Science, and 10 students preferred both Mathematics and Science. What is the probability that a student chosen at random from the survey prefers either Mathematics or Science?

Correct A. \(\frac{19}{20}\)

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

C. \(\frac{3}{5}\)

D. \(\frac{7}{10}\)

Correct Answer: A

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

Question 12 View Details

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

Correct A. \(x = 16\)

B. \(x = 8\)

C. \(x = 4\)

D. \(x = 2\)

Correct Answer: A

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

Question 13 View Details

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

Correct A. \(\frac{256}{15} \pi\)

B. \(\frac{128}{15} \pi\)

C. \(\frac{64}{15} \pi\)

D. \(\frac{32}{15} \pi\)

Correct Answer: A

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

Question 14 View Details

A circle with radius 6 cm is inscribed in a square. What is the area of the square?

A. ( 36 pi )

Correct B. ( 72 pi )

C. ( 144 pi )

D. ( 216 pi )

Correct Answer: B

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

Question 15 View Details

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

Correct A. \(x < -\frac{3}{2}\) or \(x > \frac{1}{2}\)

B. \(x < -\frac{1}{2}\) or \(x > \frac{3}{2}\)

C. \(x < -\frac{3}{2}\) or \(x < \frac{1}{2}\)

D. \(x > -\frac{3}{2}\) or \(x < \frac{1}{2}\)

Correct Answer: A

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

Question 16 View Details

Determine the value of x in the equation \(\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 17 View Details

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

Correct A. -2

B. -3

C. 2

D. 3

Correct Answer: A

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

Question 18 View Details

A binary operation ( odot ) is defined as \(a odot b = ab + 2\). Find the value of ( 3 odot 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 19 View Details

In the diagram below, ( ABC ) is a right-angled triangle with \(AB = 3\) and \(BC = 4\). Find the length of ( AC ).

A. 5

B. 6

Correct C. 7

D. 8

Correct Answer: C

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

Question 20 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 blue?

Correct A. \(1/2\)

B. \(1/3\)

C. \(2/5\)

D. \(3/8\)

Correct Answer: A

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

Question 21 View Details

Find the volume of the solid formed by revolving the region bounded by \(y = x\^2\), \(x = 0\), and \(x = 2\) 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 22 View Details

Solve the system of equations using matrices: \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 3 \\ 8 \end{bmatrix}

Correct A. \begin{bmatrix} 1 \\\\ 2 \end{bmatrix}

B. \begin{bmatrix} 2 \\\\ 3 \end{bmatrix}

C. \begin{bmatrix} 3 \\\\ 4 \end{bmatrix}

D. \begin{bmatrix} 4 \\\\ 5 \end{bmatrix}

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

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

Correct A. \(-\infty, -1\) \cup \(3, \infty\)

B. \(-\infty, 1\) \cup \(3, \infty\)

C. \(-\infty, -3\) \cup \(1, \infty\)

D. \(-\infty, 3\) \cup \(1, \infty\)

Correct Answer: A

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

Question 25 View Details

Find the area of the triangle with vertices (0, 0), (2, 0), and (0, 3).

A. 3

Correct B. 6

C. 9

D. 12

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