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POST UTME NOUN 2022 Mathematics | Objective

Are you preparing for POST UTME NOUN 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 value of x in the equation $ \frac{1}{2}x + 5 = \frac{3}{4}x - 3 $

A. 6

B. 8

Correct C. 10

D. 12

Correct Answer: C

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Question 2

Solve for x in the inequality $ 2x - 5 > 3x + 2 $

A. -1

Correct B. 1

C. 3

D. 5

Correct Answer: B

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Question 3

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

Correct A. 120

B. 150

C. 180

D. 200

Correct Answer: A

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Question 4

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

A. 5

B. 6

Correct C. 7

D. 8

Correct Answer: C

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Question 5

Find the derivative of the function ( f(x) = 3x^2 + 2x - 5 )

Correct A. 6x + 2

B. 6x - 2

C. 3x + 2

D. 3x - 2

Correct Answer: A

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Question 6

Find the equation of the line pas\sing through the points (2, 3) and (4, 5) in the coordinate plane.

A. y = 2x - 1

Correct B. y = 2x + 1

C. y = x + 2

D. y = x - 2

Correct Answer: B

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Question 7

Solve the inequality $ 2x^2 + 5x - 3 \geq 0 $ u\sing the quadratic formula.

Correct A. x \leq -1 \text{ or } x \geq \frac{3}{2}

B. x \leq -1 \text{ or } x \leq \frac{3}{2}

C. x \geq -1 \text{ or } x \geq \frac{3}{2}

D. x \geq -1 \text{ or } x \leq \frac{3}{2}

Correct Answer: A

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Question 8

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

Correct A. \frac{1}{3} \pi $ 4^2 + 2^2 + 4 \cdot 4 \cdot 2 $ (6)

B. \frac{1}{3} \pi $ 4^2 + 2^2 + 4 \cdot 4 \cdot 2 $ (12)

C. \frac{1}{3} \pi $ 4^2 + 2^2 + 4 \cdot 4 \cdot 2 $ (18)

D. \frac{1}{3} \pi $ 4^2 + 2^2 + 4 \cdot 4 \cdot 2 $ (24)

Correct Answer: A

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Question 9

Solve the system of equations $ x + y = 4 $ and $ x - 2y = -3 $ u\sing matrices.

Correct A. \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 7 \ 1 \end{bmatrix}

B. \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 1 \ 7 \end{bmatrix}

C. \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 5 \ 3 \end{bmatrix}

D. \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 5 \end{bmatrix}

Correct Answer: A

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Question 10

Find the equation of the circle with center (3, 4) and radius 5.

Correct A. $ x - 3 $^2 + $ y - 4 $^2 = 25

B. $ x - 3 $^2 + $ y - 4 $^2 = 30

C. $ x - 3 $^2 + $ y - 4 $^2 = 35

D. $ x - 3 $^2 + $ y - 4 $^2 = 40

Correct Answer: A

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Question 11

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

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Question 12

Solve the inequality $\log_2 \( x^2 - 4 $ > 2\).

Correct A. x > 2

B. x < -2

C. x > 4

D. x < -4

Correct Answer: A

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Question 13

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

Correct A. y = \frac{1}{2}x + 1

B. y = \frac{1}{2}x - 1

C. y = 2x - 3

D. y = 2x + 3

Correct Answer: A

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Question 14

A set of 5 consecutive integers has a median of 8. Find the sum of the integers.

A. 120

Correct B. 125

C. 130

D. 135

Correct Answer: B

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Question 15

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

A. 8 cm

Correct B. 6\sqrt{5} cm

C. 8\sqrt{5} cm

D. 10 cm

Correct Answer: B

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Question 16

A random sample of 25 students from a university had a mean height of 175 cm with a s\tandard deviation of 5 cm. If the population s\tandard deviation is 6 cm, calculate the s\tandard error of the mean.

A. 2.5 cm

Correct B. 3.5 cm

C. 4.5 cm

D. 5.5 cm

Correct Answer: B

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Question 17

In a set of consecutive integers, the sum of the first and last term is 51. If the sum of the second and second last term is 47, find the sum of the first and second term.

A. 23

Correct B. 24

C. 25

D. 26

Correct Answer: B

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Question 18

A histogram of exam scores has a mean of 70 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected student scored above 80?

A. 0.1587

B. 0.3413

C. 0.4772

Correct D. 0.6915

Correct Answer: D

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Question 19

A sequence is defined by the formula $a_n = 2n + 1$. Find the sum of the first 10 terms of the sequence.

A. 110

B. 120

Correct C. 130

D. 140

Correct Answer: C

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Question 20

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

A. 121

B. 122

Correct C. 123

D. 124

Correct Answer: C

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Question 21

In a random sample of 100 students, the mean height is 175 cm with a s\tandard deviation of 5 cm. If the distribution of heights is approximately normal, what is the probability that a randomly selected student will be taller than 180 cm?

Correct A. 0.1587

B. 0.3413

C. 0.5

D. 0.8413

Correct Answer: A

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Question 22

Solve the quadratic equation $ x^2 + 4x + 4 = 0 $ u\sing the quadratic formula.

Correct A. -2

B. -1

C. 0

D. 2

Correct Answer: A

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Question 23

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

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Question 24

Evaluate the definite integral $ \int_0^1 x^2 dx $.

Correct A. \frac{1}{3}

B. \frac{1}{2}

C. \frac{2}{3}

D. \frac{3}{4}

Correct Answer: A

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Question 25

Find the determinant of the matrix $ \begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} $.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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