Exam Body

Year

Subject

Paper Type

POST UTME SUMMIT UNIVERSITY 2022 Mathematics | Objective

Are you preparing for POST UTME SUMMIT UNIVERSITY exams? Reviewing past 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

Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 24\pi

B. 32\pi

Correct C. 48\pi

D. 64\pi

Correct Answer: C

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

Question 2

Solve the inequality \frac{x^2 - 4x - 5}{x + 1} > 0.

Correct A. \( -\infty, -1 \) \cup \( 5, \infty \)

B. \( -\infty, -1 \) \cup \( -1, 5 \)

C. \( -\infty, 5 \) \cup \( 5, \infty \)

D. \( -\infty, -1 \) \cup \( 5, \infty \)

Correct Answer: A

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

Question 3

A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is not blue?

A. \frac{1}{2}

B. \frac{3}{5}

Correct C. \frac{5}{8}

D. \frac{3}{8}

Correct Answer: C

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

Question 4

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

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

B. \frac{2x^3 - 2x}{\( x^2 - 1 \)^2}

C. \frac{2x^3 + 2x}{\( x^2 - 1 \)^2}

Correct D. \frac{2x^3 - 2x}{\( x^2 - 1 \)^2}

Correct Answer: D

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

Question 5

A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?

Correct A. ₦1250

B. ₦12500

C. ₦125000

D. ₦1250000

Correct Answer: A

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

Question 6

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

Correct A. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 \)

B. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)

C. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 \)

D. \( \frac{1}{2} \times 4^2 + 3 \times 4^3 - 2 \)

Correct Answer: A

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

Question 7

Solve for ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).

Correct A. \( x = 10^4 \)

B. \( x = 10^2 \)

C. \( x = 10^{-2} \)

D. \( x = 10^{-4} \)

Correct Answer: A

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

Question 8

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

A. \( \frac{8}{3} pi \)

Correct B. \( \frac{16}{3} pi \)

C. \( \frac{32}{3} pi \)

D. \( \frac{64}{3} pi \)

Correct Answer: B

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

Question 9

A right-angled triangle has sides of length 3, 4, and 5. Find the area of the triangle.

Correct A. \( \frac{1}{2} \times 3 \times 4 \)

B. \( \frac{1}{2} \times 3 \times 5 \)

C. \( \frac{1}{2} \times 4 \times 5 \)

D. \( \frac{1}{2} \times 3 \times 5 \)

Correct Answer: A

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

Question 10

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 = 4 )

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

D. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 4 )

Correct Answer: A

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

Question 11

In the diagram below, a right-angled triangle has a hypotenuse of length 10 cm. If the ratio of the lengths of the two legs is 3:4, what is the area of the triangle in square centimeters?

Correct A. 30

B. 40

C. 50

D. 60

Correct Answer: A

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

Question 12

A polynomial function f(x) has a degree of 4 and a leading coefficient of 2. If f(1) = 10 and f\( -2 \) = -20, what is the value of f(0)?

A. 0

B. 5

Correct C. 10

D. 15

Correct Answer: C

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

Question 13

A circle has a radius of 5 cm. If a chord of the circle is 8 cm long, what is the area of the sector formed by the chord and the center of the circle?

A. 20

Correct B. 30

C. 40

D. 50

Correct Answer: B

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

Question 14

A right-angled triangle has a hypotenuse of length 10 cm. If the ratio of the lengths of the two legs is 3:4, what is the length of the longer leg?

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 15

A polynomial function f(x) has a degree of 3 and a leading coefficient of 1. If f(0) = 2 and f(1) = 5, what is the value of f\( -1 \)?

A. 2

B. 3

Correct C. 4

D. 5

Correct Answer: C

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

Question 16

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

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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

Question 17

A fair six-sided die is rolled. If the number on the die is even, a second die is rolled. What is the probability that the sum of the numbers on the two dice is 7?

Correct A. 1/6

B. 1/12

C. 1/24

D. 1/36

Correct Answer: A

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

Question 18

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

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 19

Find the value of ( x ) in the equation \( 2x + 5 = 11 \).

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 20

A vector ( mathbf{a} ) has components \( a_1 = 2 \) and \( a_2 = 3 \). Find the magnitude of ( mathbf{a} ).

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 21

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.

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

A binary operation \ast on the set of real numbers is defined as a \ast b = ab + 2. Find the value of 2 \ast 3.

A. 6

B. 8

Correct C. 10

D. 12

Correct Answer: C

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

Question 23

A random experiment consists of rolling a fair six-sided die and then flipping a fair coin. If the number on the die is even and the coin lands heads up, what is the probability that the number on the die is greater than 4?

A. \frac{1}{6}

B. \frac{1}{3}

C. \frac{1}{2}

Correct D. \frac{2}{3}

Correct Answer: D

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

Question 24

Find the area under the curve y = x^3 - 6x^2 + 9x + 2 from x = 0 to x = 4.

A. 64

B. 128

Correct C. 192

D. 256

Correct Answer: C

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

Question 25

A solid is formed by revolving the region bounded by the curves y = x^2, y = 0, and x = 2 about the y-axis. Find the volume of the solid.

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

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