Exam Body

Year

Subject

Paper Type

POST UTME CALEB UNIVERSITY 2020 Mathematics | Objective

Prepare for your exams with POST UTME CALEB UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 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 revolving the region bounded by the curves $y = x\^2$, $y = 0$, and $x = 2$ about the x-axis.

Correct A. $\frac{16\pi}{3}$\)

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

C. $\frac{64\pi}{3}$\)

D. $\frac{128\pi}{3}$\)

Correct Answer: A

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

Question 2 View Details

Solve the equation $\frac{1}{2}$\) \log_{10} $x^2 = 4$.

Correct A. $10^8$

B. $10^4$

C. $10^2$

D. $10^6$

Correct Answer: A

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

Question 3 View Details

Find the area under the curve $y = x\^3$ from x = -1 to $x = 1$.

A. $\frac{2}{3}$\)

Correct B. $\frac{4}{3}$\)

C. $\frac{6}{3}$\)

D. $\frac{8}{3}$\)

Correct Answer: B

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

Question 4 View Details

A matrix A has the following elements: \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}. Find the determinant of A.

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 5 View Details

A circle has a radius of 4 cm. Find 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

Question 6 View Details

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

A. 10

B. 12

Correct C. 14

D. 16

Correct Answer: C

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

Question 7 View Details

Solve for (x) in the equation $x^2 - 4x + 4 = 0$.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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

Question 8 View Details

Find the sum of the first 5 terms of the geometric series $1 + 2 + 4 + 8 + ldots$.

A. 31

Correct B. 32

C. 33

D. 34

Correct Answer: B

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

Question 9 View Details

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

Correct A. \left$x - 2\right$^2 + \left$y - 3\right$^$2 = 16$

B. \left$x - 3\right$^2 + \left$y - 2\right$^$2 = 16$

C. \left$x - 4\right$^2 + \left$y - 2\right$^$2 = 16$

D. \left$x - 2\right$^2 + \left$y - 4\right$^$2 = 16$

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{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix}].

A. 0

B. 1

Correct C. 2

D. 3

Correct Answer: C

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

Question 11 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 12 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 13 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 14 View Details

Solve the equation $x^2 + 4x + 4 = 0$ using the quadratic formula.

Correct A. $-2, 0$

B. $-1, 1$

C. $-2, 2$

D. $-1, -1$

Correct Answer: A

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

Question 15 View Details

Find the area under the curve $y = x^2$ 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 16 View Details

Determine the value of x in the equation $\sin^2 x \$ + \$\cos^2(x)$ = 1 ) if $$1x \$ = $\frac{3}{4}$\) ).

Correct A. $\frac{\pi}{4}$

B. $\frac{3\pi}{4}$

C. $\frac{5\pi}{4}$

D. $\frac{7\pi}{4}$

Correct Answer: A

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

Question 17 View Details

Find the sum of the first 10 terms of the geometric series ( 2, 6, 18, ldots ).

Correct A. ( 2040 )

B. ( 2050 )

C. ( 2060 )

D. ( 2070 )

Correct Answer: A

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

Question 18 View Details

Solve the system of equations $egin{cases} x + 2y = 6 \ 3x - 2y = -3 \end{cases}$.

Correct A. $x = 1, y = 2$

B. $x = 2, y = 1$

C. $x = 3, y = 2$

D. $x = 4, y = 3$

Correct Answer: A

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

Question 19 View Details

Find the derivative of the function ( f(x) = $3x^2$ \sin(x) ) using the product rule.

Correct A. ( f'$(x) = 6x$\sin(x) + $3x^2$ \cos(x) )

B. ( f'$(x) = 6x$\cos(x) - $3x^2$ \sin(x) )

C. ( f'$(x) = 6x$\sin(x) - $3x^2$ \cos(x) )

D. ( f'$(x) = 6x$\cos(x) + $3x^2$ \sin(x) )

Correct Answer: A

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

Question 20 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. $x < -\frac{1}{2}$ or $x < \frac{3}{2}$

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 21 View Details

Find the value of $\log_{10} x^2$$= 4$\).

A. 2

B. 4

C. 8

Correct D. 16

Correct Answer: D

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

Question 22 View Details

Solve the equation $\frac{1}{2}x^2 + 3x - 4 = 0$.

A. 4

Correct B. -2

C. -4

D. 2

Correct Answer: B

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

Question 23 View Details

A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. $1/2$

B. $1/3$

Correct C. $2/5$

D. $3/8$

Correct Answer: C

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

Question 24 View Details

Find the value of $\sqrt{16} + \sqrt{9}$.

A. 5

B. 7

C. 8

Correct D. 10

Correct Answer: D

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

Question 25 View Details

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?

A. $1/2$

B. $1/3$

Correct C. $2/3$

D. $1/6$

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