Exam Body

Year

Subject

Paper Type

POST UTME MOUNTAIN TOP UNIVERSITY 2017 Mathematics | Objective

Are you preparing for POST UTME MOUNTAIN TOP UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Solve for 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 2

A survey of 100 students found that 60 students preferred Mathematics, 30 preferred Science, and 10 preferred both. What is the probability that a randomly selected student prefers either Mathematics or Science?

A. 0.7

Correct B. 0.8

C. 0.9

D. 0.95

Correct Answer: B

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

Question 3

The histogram below shows the distribution of exam scores for a class of 50 students. What is the mean score?

A. 60

B. 70

Correct C. 80

D. 90

Correct Answer: C

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

Question 4

Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).

A. 0

Correct B. -2

C. -1

D. 2

Correct Answer: B

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

Question 5

A circle has a radius of 4 cm. What is the area of the circle?

A. 16π

B. 32π

Correct C. 64π

D. 128π

Correct Answer: C

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

Question 6

Solve the inequality \( \frac{x}{x-2} > 0 \) for ( x in mathbb{R} setminus {2} ).

Correct A. \( -∞, 2 \) ∪ (2, ∞)

B. \( -∞, 2 \) ∩ (2, ∞)

C. (2, ∞)

D. \( -∞, 2 \)

Correct Answer: A

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

Question 7

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

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

B. \( x-3 \ \)^2 + \( y+2 \)^2 = 25 )

C. \( x-3 \ \)^2 + \( y+2 \)^2 = 36 )

D. \( x-3 \ \)^2 + \( y+2 \)^2 = 49 )

Correct Answer: A

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

Question 8

A sequence is defined by \( a_n = 2n^2 - 3n + 1 \). Find the sum of the first five terms.

Correct A. 55

B. 65

C. 75

D. 85

Correct Answer: A

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

Question 9

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 10

A right-angled triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Find the length of the other leg.

Correct A. 8 cm

B. 6 cm

C. 10 cm

D. 12 cm

Correct Answer: A

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

Question 11

Solve the inequality \( \frac{x-2}{x+1} > 0 \) for ( x in mathbb{R} ).

Correct A. \( -infty, -1 \ \) cup (2, infty) )

B. \( -infty, -1 \ \) cup (1, 2) )

C. \( -infty, -1 \ \) cup (2, infty) cup (1, 2) )

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

Correct Answer: A

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

Question 12

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

A. \( \frac{1}{6} pi \)

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

C. \( \frac{1}{2} pi \)

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

Correct Answer: B

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

Question 13

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 five terms of the sequence.

A. \( 2 + 7 + 17 + 37 + 79 \)

B. \( 2 + 5 + 13 + 29 + 61 \)

Correct C. \( 2 + 7 + 17 + 37 + 79 \)

D. \( 2 + 5 + 13 + 29 + 61 \)

Correct Answer: C

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

Question 14

Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing 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 15

Solve the equation \( x^3 - 6x^2 + 11x - 6 = 0 \) u\sing the rational root theorem.

A. \( x = 1 \)

B. \( x = 2 \)

Correct C. \( x = 3 \)

D. \( x = 6 \)

Correct Answer: C

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

Question 16

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

A. ( 16pi )

B. ( 32pi )

Correct C. ( 64pi )

D. ( 128pi )

Correct Answer: C

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

Question 17

Find the sum of the infinite geometric series \( sum_{n=1}^{infty} \frac{1}{2^n} \).

Correct A. ( 1 )

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

C. \( \frac{1}{4} \)

D. \( \frac{1}{8} \)

Correct Answer: A

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

Question 18

A right triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Find the length of the other leg.

Correct A. ( 8 )

B. ( 6 )

C. ( 4 )

D. ( 2 )

Correct Answer: A

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

Question 19

Find the derivative of the function ( f(x) = \sin^2 x ) u\sing the chain rule.

A. \( 2\sin x \cos x \)

B. \( 2\sin x \)

C. \( 2\cos x \)

D. \( 2\sin x \cos x \)

Correct Answer: VIEW ANSWER

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

Question 20

The mean of a set of numbers is 25. If the mean of a subset of these numbers is 30, and the subset has 4 more numbers than the original set, what is the mean of the original set?

A. 20

B. 22

Correct C. 24

D. 26

Correct Answer: C

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

Question 21

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

A. 0

Correct B. -2

C. -1

D. 1

Correct Answer: B

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

Question 22

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 23

A histogram is a graphical representation of a frequency distribution. What is the name of the type of graph that is used to show the relationship between two variables?

Correct A. Scatter plot

B. Bar chart

C. Histogram

D. Pie chart

Correct Answer: A

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

Question 24

If \( f(x) = 2x^2 + 3x - 1 \), find \( f'(x) \).

Correct A. 4x + 3

B. 2x + 1

C. 3x - 2

D. x^2 + 2x

Correct Answer: A

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

Question 25

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

Correct A. x > 4

B. x < 4

C. x > 2

D. x < 2

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