Exam Body

Year

Subject

Paper Type

POST UTME MOUNTAIN TOP UNIVERSITY 2022 Mathematics | Objective

Prepare for your exams with POST UTME MOUNTAIN TOP UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the other sides is 6 cm. Find the length of the third side using the Pythagorean theorem.

A. 8 cm

Correct B. 12 cm

C. 16 cm

D. 20 cm

Correct Answer: B

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

Question 2 View Details

A binary operation (*\) on the set \{1, 2, 3, 4\$(*) on the set \} is defined as follows: (a \ast b = a^2 + b^2$. Find the value of \$(a ast b = a^2 + b^2\(2 \ast 3$.

Correct A. 13

B. 17

C. 19

D. 21

Correct Answer: A

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

Question 3 View Details

The mean of five numbers is 15. If one of the numbers is 10, find the sum of the other four numbers.

Correct A. 50

B. 60

C. 70

D. 80

Correct Answer: A

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

Question 4 View Details

The equation of a circle is given by $x^2 + y^2 + 4x + 6y = 0$. Find the center and radius of the circle.

Correct A. $-2, -3$ and 5

B. ( 2, 3 ) and 5

C. $-2, 3$ and 5

D. $2, -3$ and 5

Correct Answer: A

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

Question 5 View Details

A sequence is defined as $a_n = 2n + 1$. Find the sum of the first five terms of the sequence.

A. 15

Correct B. 25

C. 35

D. 45

Correct Answer: B

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

Question 6 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 7 View Details

Evaluate the integral $int_{0}^{2} 2x^2 + 3x - 1 \$ dx ).

Correct A. $\left[ \frac{2x^3}{3} + \frac{3x^2}{2} - x \right]_{0}^{2} = \frac{16}{3} + 6 - 2 = \frac{40}{3}$

B. $\left[ \frac{2x^3}{3} + \frac{3x^2}{2} - x \right]_{0}^{2} = \frac{16}{3} + 6 - 2 = \frac{40}{3}$

C. $\left[ \frac{2x^3}{3} + \frac{3x^2}{2} - x \right]_{0}^{2} = \frac{16}{3} + 6 - 2 = \frac{40}{3}$

D. $\left[ \frac{2x^3}{3} + \frac{3x^2}{2} - x \right]_{0}^{2} = \frac{16}{3} + 6 - 2 = \frac{40}{3}$

Correct Answer: A

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

Question 8 View Details

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

Correct A. $x = -2$

B. $x = -1$

C. $x = 1$

D. $x = 2$

Correct Answer: A

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

Question 9 View Details

Find the equation of the line passing through the points (1,2) and (3,4).

Correct A. $y = \frac{4}{2} x - 1 \$ + 2 )

B. $y = \frac{4}{2} x - 3 \$ + 4 )

C. $y = \frac{4}{2} x - 1 \$ + 4 )

D. $y = \frac{4}{2} x - 3 \$ + 2 )

Correct Answer: A

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

Question 10 View Details

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

Correct A. $\frac{1}{4} 10 + 20 + 30 + 40 \$$= 25 )$

B. $\frac{1}{4} 10 + 20 + 30 + 40 \$$= 25 )$

C. $\frac{1}{4} 10 + 20 + 30 + 40 \$$= 25 )$

D. $\frac{1}{4} 10 + 20 + 30 + 40 \$$= 25 )$

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 $x = 2$.

A. $\frac{1}{2}$

B. ( 2 )

Correct C. ( 4 )

D. ( 6 )

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. $x < -1$ 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 13 View Details

A histogram of exam scores has a mean of 60 and a standard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 50 and 70?

Correct A. ( 0.9544 )

B. ( 0.8413 )

C. ( 0.6915 )

D. ( 0.6827 )

Correct Answer: A

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

Question 14 View Details

Find the derivative of the function $y = \sin^2 x \$ ) using the chain rule.

Correct A. $2$1x$\cos(x \) )

B. $\cos^2 x \$ )

C. $$1x$\cos(x \) )

D. $\sin^2 x \$ )

Correct Answer: A

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

Question 15 View Details

Solve the 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 16 View Details

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

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

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

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

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

Correct Answer: B

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

Question 17 View Details

A set of 5 numbers has a mean of 10. If 2 is added to each number, what is the new mean?

A. 8

B. 10

C. 12

Correct D. 14

Correct Answer: D

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

Question 18 View Details

Solve the inequality $x^2 - 6x + 8 > 0$.

Correct A. $x < 2$ or $x > 4$

B. $x < 1$ or $x > 4$

C. $x < 2$ or $x < 4$

D. $x > 2$ or $x < 4$

Correct Answer: A

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

Question 19 View Details

Find the sum of the first 5 terms of the geometric sequence ( 2, 6, 18, ... ).

A. 62

Correct B. 64

C. 66

D. 68

Correct Answer: B

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

Question 20 View Details

A histogram of exam scores has a mean of 60 and a standard deviation of 10. What is the probability that a randomly selected score is between 50 and 70?

A. 0.25

Correct B. 0.5

C. 0.75

D. 0.9

Correct Answer: B

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

Question 21 View Details

Find the value of (x\) in the equation $2^x + 5^x = 7^x\\((x) in the equation$.

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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

Question 22 View Details

A circle has a diameter of 10 cm. Find the area of the circle.

Correct A. 78.5

B. 78.54

C. 78.55

D. 78.6

Correct Answer: A

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

Question 23 View Details

Solve the inequality $x^2 - 4x - 5 > 0$.

Correct A. $-∞, -1$ ∪ (5, ∞)

B. $-∞, -1$ ∪ (1, ∞)

C. $-∞, 1$ ∪ (5, ∞)

D. $-∞, 5$ ∪ (∞, 1)

Correct Answer: A

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

Question 24 View Details

Find the equation of the line passing through the points (2, 3) and (4, 5).

Correct A. $y = 2x + 1$

B. $y = 2x - 1$

C. $y = -2x + 1$

D. $y = -2x - 1$

Correct Answer: A

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

Question 25 View Details

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find the volume of the prism.

Correct A. 30

B. 31

C. 32

D. 33

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