Exam Body

Year

Subject

Paper Type

POST UTME ABU 2020 Mathematics | Objective

Are you preparing for POST UTME ABU exams? Reviewing past 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

A cylindrical \tank with a radius of 7m and a height of 10m is filled with water. What is the volume of water in the \tank, in cubic meters?

Correct A. 700\pi

B. 700\pi + 100\pi

C. 700\pi - 100\pi

D. 100\pi

Correct Answer: A

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

Question 2

A histogram is constructed from the following data: 2, 4, 5, 6, 8, 9, 11, 12, 14, 16. What is the mean of the data set?

Correct A. 7.5

B. 8.5

C. 9.5

D. 10.5

Correct Answer: A

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

Question 3

Solve 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 4

A quadratic equation is given by: x^2 + 5x + 6 = 0. Find the roots of the equation.

Correct A. x = -2, x = -3

B. x = -1, x = -6

C. x = 2, x = 3

D. x = -1, x = 6

Correct Answer: A

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

Question 5

A rec\tangular prism has a length of 5m, a width of 3m, and a height of 2m. What is the surface area of the prism?

A. 50

B. 60

Correct C. 70

D. 80

Correct Answer: C

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

Question 6

Find the volume of the solid formed by revolving the region bounded by the curve $y = \frac{1}{2}x^2 - 2x + 3$, the $x$-axis, and the line $x = 1$ about the $x$-axis.

Correct A. \frac{\pi}{6}

B. \frac{\pi}{3}

C. \frac{\pi}{2}

D. \frac{\pi}{4}

Correct Answer: A

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

Question 7

Solve the inequality $\log_{10} $ x^2 - 4 $ > 2$.

A. x > 4

B. x < -4

Correct C. x > 2 or x < -2

D. x > 2 or x < 2

Correct Answer: C

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

Question 8

Find the equation of the circle pas\sing through the points $(1, 2)$ and $$ -2, 3 $$.

Correct A. x^2 + y^2 - 4x - 6y + 13 = 0

B. x^2 + y^2 + 4x + 6y + 13 = 0

C. x^2 + y^2 - 4x + 6y + 13 = 0

D. x^2 + y^2 + 4x - 6y + 13 = 0

Correct Answer: A

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

Question 9

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

Correct A. x = 1, y = 1

B. x = -1, y = 3

C. x = 1, y = 3

D. x = -1, y = 1

Correct Answer: A

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

Question 10

Find the area of the triangle with vertices $(0, 0)$, $(3, 0)$, and $(0, 2)$.

Correct A. 6

B. 8

C. 10

D. 12

Correct Answer: A

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

Question 11

A binary number is represented as $ 1010_2 $. What is the decimal equivalent of this number?

A. 10

Correct B. 11

C. 12

D. 13

Correct Answer: B

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

Question 12

A random experiment has two possible outcomes: A and B. The probability of outcome A is ( P(A) = \frac{1}{3} ). What is the probability of outcome B?

A. 1/3

Correct B. 2/3

C. 1/2

D. 4/5

Correct Answer: B

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

Question 13

Find the area under the curve $ y = x^2 $ from $ x = 0 $ to $ x = 4 $ u\sing integration.

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 14

A set of exam scores has a mean of 80 and a s\tandard deviation of 5. What is the z-score of a score of 90?

A. 0.8

B. 1.2

Correct C. 1.6

D. 2.0

Correct Answer: C

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

Question 15

A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 2 cm. What is its volume?

Correct A. 48

B. 64

C. 80

D. 96

Correct Answer: A

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

Question 16

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 cm^3

Correct B. 48\pi cm^3

C. 96\pi cm^3

D. 192\pi cm^3

Correct Answer: B

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

Question 17

If f(x) = 3x^2 + 2x - 5 and g(x) = 2x^2 - 3x + 1, find the derivative of f(g(x)) u\sing the chain rule.

A. 6x^3 - 12x^2 + 6x + 4

B. 12x^3 - 18x^2 + 6x - 2

Correct C. 24x^3 - 36x^2 + 12x - 6

D. 48x^3 - 72x^2 + 24x - 12

Correct Answer: C

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

Question 18

A die is rolled three times. What is the probability that the sum of the three rolls is 9?

Correct A. \frac{1}{8}

B. \frac{1}{6}

C. \frac{1}{4}

D. \frac{1}{2}

Correct Answer: A

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

Question 19

Find the sum of the first 10 terms of the geometric series 2x + 4x^2 + 8x^3 + ...

A. 2048x^{10}

B. 4096x^{10}

Correct C. 8192x^{10}

D. 16384x^{10}

Correct Answer: C

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

Question 20

Solve the quadratic equation x^2 + 5x + 6 = 0 u\sing the quadratic formula.

Correct A. x = -2 or x = -3

B. x = -1 or x = -6

C. x = 1 or x = -6

D. x = 2 or x = -3

Correct Answer: A

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

Question 21

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

Correct A. 27

B. 30

C. 33

D. 36

Correct Answer: A

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

Question 22

Solve the equation 2x^2 + 5x - 3 = 0 u\sing the quadratic formula.

Correct A. 1/2

B. -1/2

C. 1

D. -1

Correct Answer: A

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

Question 23

Find the derivative of the function f(x) = x^3 - 2x^2 + x - 1.

Correct A. 3x^2 - 4x + 1

B. x^2 - 2x + 1

C. x^3 - 2x^2 + x - 1

D. x^2 + 2x - 1

Correct Answer: A

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

Question 24

Solve the trigonometric equation \sin(x) = \cos(x).

Correct A. x = π/4

B. x = π/2

C. x = 3π/4

D. x = π

Correct Answer: A

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

Question 25

Find the vector projection of the vector b = 2i + 3j onto the vector a = i + 2j.

Correct A. 1/3 i + 2/3 j

B. 2/3 i + 1/3 j

C. 1/2 i + 1/2 j

D. 1/4 i + 3/4 j

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