POST UTME COAL CITY UNIVERSITY 2023 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 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 derivative of the function ( f(x) = \(\frac{x^2 + 2x - 3}{x^2 - 4}\)\)\) ) using the quotient rule.
Correct A. \(\frac{x^2 - 4\) 2x + 2 - \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\)
B. \(\frac{x^2 - 4\) 2x + 2 + \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\)
C. \(\frac{x^2 - 4\) 2x + 2 - \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\) + \(\frac{x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\)
D. \(\frac{x^2 - 4\) 2x + 2 + \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\) - \(\frac{x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 2 View Details
Solve the inequality \(|x + 2| > 5\).
Correct A. x < -7 or \(x > 3\)
B. x < -3 or \(x > 7\)
C. x < -7 or x > -3
D. \(x < 3\) or \(x > 7\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 3 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 4 View Details
Solve the system of equations \(x + y = 3\) and \(xy = 2\).
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 5 View Details
Find the sum of the first 10 terms of the geometric series \(2x^2 + 3x + 1\).
Correct A. \(2x^2 + 3x + 1 + 2x^2 + 3x + 1\) + ... + \(2x^2 + 3x + 1\)
B. \(2x^2 + 3x + 1 + 2x^2 + 3x + 1\) + ... + \(2x^2 + 3x + 1 + 2x^2 + 3x + 1\)
C. \(2x^2 + 3x + 1 + 2x^2 + 3x + 1\) + ... + \(2x^2 + 3x + 1 + 2x^2 + 3x + 1 + 2x^2 + 3x + 1\)
D. \(2x^2 + 3x + 1 + 2x^2 + 3x + 1\) + ... + \(2x^2 + 3x + 1 + 2x^2 + 3x + 1 + 2x^2 + 3x + 1 + 2x^2 + 3x + 1\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 6 View Details
Find the value of k such that the equation \(x^2 + kx + 16 = 0\) has equal roots.
Correct A. -8
B. 8
C. -4
D. 4

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 7 View Details
Solve the inequality \(2x^2 + 5x - 3 > 0\).
Correct A. \(x < -1\) or \(x > \frac{3}{2}\)
B. \(x < -1\) or \(x < \frac{3}{2}\)
C. \(x > -1\) or \(x < \frac{3}{2}\)
D. \(x > -1\) or \(x > \frac{3}{2}\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 8 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 9 View Details
Solve the system of equations \(egin{cases} x + y = 4 \ 2x - 3y = 5 \end{cases}\).
Correct A. \(x = 3, y = 1\)
B. \(x = 1, y = 3\)
C. \(x = 2, y = 2\)
D. \(x = 4, y = 0\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 10 View Details
Find the determinant of the matrix \(egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 1 & 3 & 2 \end{bmatrix}\).
Correct A. -2
B. 2
C. -1
D. 1

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 11 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. 112

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 12 View Details
Solve the inequality \(2x^2 + 5x - 3 > 0\).
Correct A. \(-∞, -1\) ∪ (3, ∞)
B. \(-∞, -3\) ∪ (1, ∞)
C. \(-∞, 1\) ∪ (3, ∞)
D. \(-∞, -1\) ∪ (1, ∞)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 13 View Details
A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.
Correct A. 72
B. 80
C. 96
D. 108

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 14 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 + \(y - 3\)^\(2 = 9\) )
D. \(x - 3 \\)^2 + \(y - 2\)^\(2 = 9\) )

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 15 View Details
Solve the quadratic equation \(x^2 + 4x + 4 = 0\).
Correct A. \(-2, 0\)
B. \(-1, 0\)
C. \(0, -2\)
D. \(0, -1\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 16 View Details
A cone has a radius of 4 cm and a height of 6 cm. Find its volume.
A. 32π
B. 64π
Correct C. 96π
D. 128π

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 17 View Details
Find the equation of the line passing through the points ( (2, 3) ) and ( (4, 5) ).
Correct A. \(y = x + 1\)
B. \(y = x - 1\)
C. \(y = -x + 3\)
D. \(y = x + 3\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 18 View Details
Solve the inequality \(x^2 - 4x - 5 > 0\).
Correct A. \(-∞, -1\) ∪ (5, ∞)
B. \(-∞, 1\) ∪ (5, ∞)
C. \(-∞, -5\) ∪ (1, ∞)
D. \(-∞, -1\) ∪ (1, ∞)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 19 View Details
A sphere has a radius of 3 cm. Find its volume.
A. 36π
B. 54π
Correct C. 72π
D. 90π

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 20 View Details
Find 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 21 View Details
Solve the inequality \(2x^2 + 5x - 3 > 0\).
Correct A. x < -1 or \(x > 3/2\)\)
B. \(x < 1\) or x > \(-3/2\)
C. \(x <\)\(-3/2\) or \(x > 1\)
D. \(x < 3/2\)\) or x > -1

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 22 View Details
Find the area under the curve \(y = x^2\) from \(x = 0\) to \(x = 2\).
A. 4
B. 6
Correct C. 8
D. 10

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 23 View Details
A histogram shows the distribution of exam scores in a class of 50 students. The histogram has 5 bars, with heights 8, 12, 15, 10, and 5. What is the mean of the exam scores?
A. 10
Correct B. 12
C. 15
D. 18

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 24 View Details
Find the derivative of the function ( f(x) = \(3x^2 + 2x - 5\) ).
Correct A. 6x + 2
B. 3x + 1
C. 2x - 1
D. x - 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 25 View Details
A circle has a radius of 4 cm. What is the area of the circle?
Correct A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi

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