Exam Body

Year

Subject

Paper Type

POST UTME UNIPORT 2022 Mathematics | Objective

Are you preparing for POST UTME UNIPORT 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 area under the curve \( y = \frac{1}{x^2} \) from \( x = 1 \) to \( x = 2 \).

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 2

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

A. 0

Correct B. 1

C. 2

D. 3

Correct Answer: B

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

Question 3

A set ( A ) contains the elements ( 1, 2, 3, 4, 5 ). Find the number of subsets of ( A ) that contain exactly two elements.

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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

Question 4

In the circuit below, find the current ( I ) in the resistor \( R_2 \).

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 5

A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 1 \). Find the first five terms of the sequence.

Correct A. 1, 3, 7, 15, 31

B. 1, 2, 4, 8, 16

C. 1, 3, 5, 7, 9

D. 1, 2, 3, 4, 5

Correct Answer: A

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

Question 6

Determine the value of x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \).

A. \( x = -10 \)

B. \( x = 6 \)

Correct C. \( x = -\frac{3}{2} \)

D. \( x = 2 \)

Correct Answer: C

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

Question 7

A particle moves in a straight line with an initial velocity of 5 m/s. After 2 seconds, its velocity is 10 m/s. What is the acceleration of the particle?

A. \( 2.5 , \text{m/s}^2 \)

Correct B. \( 5 , \text{m/s}^2 \)

C. \( 7.5 , \text{m/s}^2 \)

D. \( 10 , \text{m/s}^2 \)

Correct Answer: B

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

Question 8

Solve the inequality \( 2x^2 + 5x - 3 > 0 \).

Correct A. \( x < -1 \) or \( x > \frac{3}{2} \)

B. \( x < -\frac{3}{2} \) or \( x > 1 \)

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 9

A geometric sequence has a first term of 2 and a common ratio of 3. Find the sum of the first 5 terms.

Correct A. ( 244 )

B. ( 246 )

C. ( 248 )

D. ( 250 )

Correct Answer: A

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

Question 10

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

A. \( 16pi , \text{cm}^2 \)

B. \( 32pi , \text{cm}^2 \)

Correct C. \( 64pi , \text{cm}^2 \)

D. \( 128pi , \text{cm}^2 \)

Correct Answer: C

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

Question 11

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

Correct A. \( 8 , \text{cm} \)

B. \( 6 , \text{cm} \)

C. \( 4 , \text{cm} \)

D. \( 2 , \text{cm} \)

Correct Answer: A

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

Question 12

A set of 5 numbers has a mean of 10. Find the sum of the 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 13

A probability experiment has 5 possible outcomes, each with a probability of 0.2. Find the probability of getting at least one of the outcomes.

Correct A. ( 0.8 )

B. ( 0.6 )

C. ( 0.4 )

D. ( 0.2 )

Correct Answer: A

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

Question 14

A quadratic equation has a discriminant of 16. Find the sum of the roots.

A. \( -4 \)

B. \( -2 \)

Correct C. ( 0 )

D. ( 2 )

Correct Answer: C

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

Question 15

In the number base 8, what is the value of the expression \( 5 \times 6 + 7 \)?

A. 37

B. 43

Correct C. 47

D. 53

Correct Answer: C

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

Question 16

Find the sum of the first 5 terms of the geometric sequence ( 2, 6, 18, 54, ... ).

Correct A. 124

B. 134

C. 144

D. 154

Correct Answer: A

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

Question 17

In the coordinate plane, 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 18

Solve the system of linear equations: \( 2x + 3y = 7 \) and \( x - 2y = -3 \).

Correct A. \( x = 1, y = 2 \)

B. \( x = 2, y = 1 \)

C. \( x = 3, y = 4 \)

D. \( x = 4, y = 3 \)

Correct Answer: A

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

Question 19

Find the area of the triangle with vertices ( (0, 0), (3, 0), (0, 4) ).

A. 12

B. 15

Correct C. 18

D. 20

Correct Answer: C

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

Question 20

Solve the quadratic 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 21

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

Correct A. 40

B. 42

C. 44

D. 46

Correct Answer: A

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

Question 22

A box with a square base has a volume of 1000 cm³ and a height of 10 cm. Find the surface area of the box.

A. 200

Correct B. 250

C. 300

D. 350

Correct Answer: B

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

Question 23

Two events, A and B, are indep\endent. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. Find the probability that both events occur.

A. 0.2

Correct B. 0.24

C. 0.28

D. 0.32

Correct Answer: B

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

Question 24

A set of exam scores has a mean of 70 and a s\tandard deviation of 10. Find the z-score of a score of 80.

A. 0.5

B. 1

Correct C. 1.5

D. 2

Correct Answer: C

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

Question 25

A histogram shows that the heights of a group of people are normally distributed with a mean of 170 cm and a s\tandard deviation of 5 cm. Find the probability that a randomly selected person is taller than 180 cm.

A. 0.16

B. 0.2

Correct C. 0.24

D. 0.28

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