Exam Body

Year

Subject

Paper Type

POST UTME COAL CITY UNIVERSITY 2025 Mathematics | Objective

Prepare for your exams with POST UTME COAL CITY UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2025 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

Determine the value of x in the equation \(egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ 1 \end{bmatrix} = egin{bmatrix} 7 \ 11 \end{bmatrix}\).

A. 3

B. 4

C. 5

Correct D. 6

Correct Answer: D

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

Question 2 View Details

A histogram of exam scores is shown below. If the mean score is 75, and the range is 20, what is the mode?

Correct A. 60

B. 70

C. 80

D. 90

Correct Answer: A

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

Question 3 View Details

Solve for x in the equation \(2^x + 5^x = 7^x\).

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 4 View Details

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?

A. 30

B. 40

Correct C. 50

D. 60

Correct Answer: C

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

Question 5 View Details

A polynomial function has a degree of 4 and a leading coefficient of 2. If the function has a root at \(x = 3\), what is the product of the roots?

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 6 View Details

Determine the value of x in the equation \(\log_{10} x^2 \\)\(= 4 ).\)

A. 10

Correct B. 100

C. 1000

D. 10000

Correct Answer: B

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

Question 7 View Details

A survey of 100 students found that 60% preferred Mathematics, 20% preferred Science, and 20% preferred both. What is the probability that a randomly selected student prefers either Mathematics or Science?

Correct A. 0.8

B. 0.7

C. 0.6

D. 0.5

Correct Answer: A

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

Question 8 View Details

Find the volume of the solid formed by revolving the region bounded by the parabola (y = \(x^2\)\), the x-axis, and the line \(x = 2\\((y = x^2), the x-axis, and the line\) 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 9 View Details

A sequence is defined by the recurrence relation \(a_n = 2a_{n-1} + 3\) with initial term \(a_1 = 2\). Find the sum of the first 5 terms of the sequence.

A. 65

B. 67

Correct C. 69

D. 71

Correct Answer: C

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

Question 10 View Details

A set of 10 points is chosen at random from a circle of radius 5. What is the probability that the distance between the two farthest points is less than 5?

A. 0.1

B. 0.2

C. 0.3

Correct D. 0.4

Correct Answer: D

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

Question 11 View Details

Solve the inequality (\(\frac{\(x^2 - 4}{x + 2}\)\(> 0\)\) for x in \\((frac{x^2 - 4}{x + 2} > 0\(-\infty, -2 \ cup -2, \infty\) )\).

A. \(-2, -1\) ∪ (1, ∞)

Correct B. \(-∞, -2\) ∪ (0, ∞)

C. \(-∞, -2\) ∪ (1, ∞)

D. \(-∞, -1\) ∪ (0, ∞)

Correct Answer: B

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

Question 12 View Details

A fair six-sided die is rolled. What is the probability that the number obtained is a multiple of 3?

Correct A. \(1/3\)

B. \(1/6\)

C. \(1/2\)

D. \(2/3\)

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.

A. -2x/\(x^2 + 1\)^2

Correct B. 2x/\(x^2 + 1\)^2

C. -2/\(x^2 + 1\)^2

D. 2/\(x^2 + 1\)^2

Correct Answer: B

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

Question 14 View Details

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?

A. 30 \(cm^3\)

B. 50 \(cm^3\)

Correct C. 60 \(cm^3\)

D. 70 \(cm^3\)

Correct Answer: C

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

Question 15 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 16 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. 128

Correct Answer: C

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

Question 17 View Details

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

A. 0

Correct B. 1

C. 2

D. 3

Correct Answer: B

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

Question 18 View Details

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

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 19 View Details

A particle moves in a straight line with a velocity of (5 , \text{\(m/s\)}\) and an acceleration of \\((5 , text{m/s}\(2 , \text{m/s}^2\). Find its position after ( 3 ) seconds.

A. 15

B. 20

Correct C. 25

D. 30

Correct Answer: C

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

Question 20 View Details

A circle has a radius of ( 4 ) cm. Find the area of the circle.

A. 16

B. 25

Correct C. 36

D. 49

Correct Answer: C

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 rotating 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 22 View Details

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

A. x < -1 or \(x > 2\)

Correct B. \(x < 1\) or \(x > 2\)

C. x < -1 or \(x < 2\)

D. x > -1 or \(x > 2\)

Correct Answer: B

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

Question 23 View Details

A circle with center (0, 0) and radius 4 passes through the point (3, 4). Find the equation of the circle.

Correct A. \(x^2\) + \\((y^2\)\(= 16\)\)

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

C. \(x^2\) + \\((y^2\)\(= 24\)\)

D. \(x^2\) + \\((y^2\)\(= 28\)\)

Correct Answer: A

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

Question 24 View Details

Find the mean of the data set: 2, 4, 6, 8, 10.

A. 6

Correct B. 8

C. 10

D. 12

Correct Answer: B

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

Question 25 View Details

A rectangular box has dimensions 3 cm x 4 cm x 5 cm. Find the surface area of the box.

A. 94 \(cm^2\)

B. 98 \(cm^2\)

Correct C. 102 \(cm^2\)

D. 106 \(cm^2\)

Correct Answer: C

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