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POST UTME NOUN 2024 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 2024 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 quadratic equation \( x^2 + 5x + 6 = 0 \).

Correct A. \( x = -2 \)

B. \( x = -3 \)

C. \( x = 2 \)

D. \( x = 3 \)

Correct Answer: A

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Question 2

A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:4, how many loaves of whole wheat bread are sold per day?

Correct A. 120

B. 150

C. 180

D. 200

Correct Answer: A

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Question 3

Find the determinant of the matrix \( egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 5 \ 6 & 3 & 7 \end{bmatrix} \).

A. -1

B. 0

Correct C. 1

D. 2

Correct Answer: C

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Question 4

A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, with the heights of the bars being 8, 12, 15, 10, and 5. What is the mean of the exam scores?

A. 10

Correct B. 12

C. 15

D. 18

Correct Answer: B

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Question 5

In the circuit below, what is the current flowing through the 3-ohm resistor?

A. 1 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 6

In the complex plane, let \( z = 2 + 3i \). Find the polar form of ( z ) and express it in the form \( re^{i\theta} \), where ( r ) is the magnitude and \( \theta \) is the argument.

Correct A. \( \sqrt{13}e^{i\arc\tan\left\( \frac{3}{2}\right \)} \)

B. \( \sqrt{13}e^{i\arc\tan\left\( \frac{2}{3}\right \)} \)

C. \( \sqrt{13}e^{i\arc\tan\left\( \frac{3}{2}\right \)} \)

D. \( \sqrt{13}e^{i\arc\tan\left\( \frac{2}{3}\right \)} \)

Correct Answer: A

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Question 7

Let ( f(x) = x^2 + 2x - 3 ) and ( g(x) = 2x^2 - 4x + 1 ). Find the value of ( f(g(x)) ) when \( x = 1 \).

A. \( 4 \)

Correct B. \( 5 \)

C. \( 6 \)

D. \( 7 \)

Correct Answer: B

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Question 8

A set ( A ) contains the elements ( 1, 2, 3, 4, 5 ). A set ( B ) is defined as \( B = \{ x | x \in A, x > 3 \} \ \). Find the number of elements in set ( B ).

A. \( 2 \)

B. \( 3 \)

Correct C. \( 4 \)

D. \( 5 \)

Correct Answer: C

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Question 9

A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.

A. \( 15 \)

B. \( 20 \)

C. \( 25 \)

Correct D. \( 30 \)

Correct Answer: D

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Question 10

A vector \( \vec{a} \) is defined as \( \vec{a} = 2\hat{i} + 3\hat{j} \ \). Find the magnitude of \( \vec{a} \).

A. \( 5 \)

Correct B. \( 10 \)

C. \( 15 \)

D. \( 20 \)

Correct Answer: B

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Question 11

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

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Question 12

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

A. 10

Correct B. 15

C. 20

D. 25

Correct Answer: B

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Question 13

The mean of a set of numbers is 25. If the largest number is 50, find the sum of the remaining numbers.

A. 200

B. 250

Correct C. 300

D. 350

Correct Answer: C

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Question 14

Find the volume of the solid formed by rotating the region bounded by \( y = x^2 \) and \( y = 4 - x \) about the x-axis.

A. 16\pi

Correct B. 32\pi

C. 64\pi

D. 128\pi

Correct Answer: B

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Question 15

A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.

A. 15

B. 25

Correct C. 35

D. 45

Correct Answer: C

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Question 16

A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. Calculate the coefficient of variation (CV) of the sample.

A. 12.5%

Correct B. 15%

C. 17.5%

D. 20%

Correct Answer: B

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Question 17

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

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 18

A set of numbers is defined as {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Find the number of subsets of this set.

A. 10

B. 20

Correct C. 32

D. 64

Correct Answer: C

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Question 19

A sequence is defined as 2, 6, 12, 20, 30, ... . Find the next term in the sequence.

A. 42

Correct B. 48

C. 52

D. 56

Correct Answer: B

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Question 20

A matrix A is given by \[ A = \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \]. Find the determinant of matrix A.

Correct A. 0

B. 2

C. 4

D. 6

Correct Answer: A

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Question 21

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} ].

A. 1

Correct B. -1

C. 2

D. 3

Correct Answer: B

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Question 22

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

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Question 23

A histogram is shown below. What is the mean of the data?

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 24

Find the volume of the cylinder with radius 4 cm and height 10 cm.

Correct A. 800\pi

B. 400\pi

C. 200\pi

D. 100\pi

Correct Answer: A

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Question 25

Solve the inequality [ 2x - 5 > 3 ].

Correct A. x > 4

B. x < 4

C. x > 2

D. x < 2

Correct Answer: A

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