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POST UTME UNN 2022 Mathematics | Objective

Are you preparing for POST UTME UNN 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

Solve for x in the quadratic equation $ x^2 + 5x + 6 = 0 $.

A. $ x = -2 \ $

Correct B. $ x = -3 \ $

C. $ x = 2 \ $

D. $ x = 3 \ $

Correct Answer: B

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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?

A. 120

B. 150

Correct C. 180

D. 200

Correct Answer: C

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Question 3

Find the determinant of the 3x3 matrix $ \begin{bmatrix} 2 & 3 & 1 \\ 4 & 2 & 3 \\ 1 & 1 & 2 \end{bmatrix} \ $.

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

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Question 4

A box contains 12 red balls and 8 blue balls. If 2 balls are drawn at random, what is the probability that both balls are blue?

A. \frac{1}{5}

Correct B. \frac{1}{10}

C. \frac{1}{15}

D. \frac{1}{20}

Correct Answer: B

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Question 5

Solve for x in the linear equation $ 2x + 5 = 11 \ $.

A. 3

Correct B. 4

C. 5

D. 6

Correct Answer: B

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Question 6

Let ( f(x) = \frac{x^2 - 4}{x - 2} ). Find the derivative of ( f(x) ) u\sing the chain rule.

A. 2x + 4

B. x^2 + 4

C. x^2 - 4

Correct D. x^2 + 2x - 4

Correct Answer: D

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Question 7

A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that both balls are blue?

A. 1/14

Correct B. 1/7

C. 1/2

D. 3/7

Correct Answer: B

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Question 8

Solve the equation $ 2^x + 2^y = 2^{x+y} $ for ( x ) and ( y ).

Correct A. x = y

B. x = -y

C. x + y = 0

D. x - y = 0

Correct Answer: A

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Question 9

A company produces two products, A and B. The profit from product A is $10 per unit, and the profit from product B is $15 per unit. If the company produces 100 units of product A and 50 units of product B, what is the total profit?

A. $1500

Correct B. $2000

C. $2500

D. $3000

Correct Answer: B

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Question 10

A car travels from city A to city B at an average speed of 60 km/h. On the return trip, the car travels at an average speed of 40 km/h. What is the average speed for the entire trip?

A. 45 km/h

B. 50 km/h

Correct C. 55 km/h

D. 60 km/h

Correct Answer: C

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Question 11

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. 32\pi

B. 64\pi

Correct C. 128\pi

D. 256\pi

Correct Answer: C

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Question 12

Solve the inequality \frac{x^2 - 4}{x^2 - 9} > 0.

Correct A. x < -3 or x > 3

B. -3 < x < 3

C. x < -3 or x > 0

D. x > 0

Correct Answer: A

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Question 13

Find the equation of the circle pas\sing through the points (2, 3), (4, 5), and $ -1, 2 $.

Correct A. $ x - 1 $^2 + $ y - 2 $^2 = 4

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

C. $ x + 1 $^2 + $ y - 2 $^2 = 4

D. $ x - 1 $^2 + $ y + 2 $^2 = 4

Correct Answer: A

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Question 14

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

Correct A. \frac{-2x}{$ x^2 + 1 $^2}

B. \frac{2x}{$ x^2 + 1 $^2}

C. \frac{-x}{$ x^2 + 1 $^2}

D. \frac{x}{$ x^2 + 1 $^2}

Correct Answer: A

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Question 15

Solve the system of equations x^2 + y^2 = 4 and x + y = 2.

Correct A. x = 1, y = 1

B. x = 2, y = 0

C. x = 0, y = 2

D. x = 1, y = 0

Correct Answer: A

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Question 16

Determine the value of $x$ in the equation $\begin{vmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{vmatrix} = 0$.

A. 1

B. 2

C. 3

Correct D. 4

Correct Answer: D

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Question 17

A sequence is defined by $a_n = \frac{1}{n} + \frac{1}{n+1}$. Find the sum of the first 5 terms.

Correct A. 1.55

B. 1.65

C. 1.75

D. 1.85

Correct Answer: A

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Question 18

Solve the inequality $\frac{x-2}{x+1} > 0$.

Correct A. $ -\infty, -1 $ \cup $ 2, \infty $

B. $ -\infty, -1 $ \cup $ 1, \infty $

C. $ -\infty, 1 $ \cup $ 2, \infty $

D. $ -\infty, 1 $ \cup $ 2, \infty $

Correct Answer: A

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Question 19

A histogram represents the distribution of exam scores. If the mean score is 60 and the s\tandard deviation is 10, what is the probability that a randomly selected score is between 50 and 70?

A. 0.5

Correct B. 0.6

C. 0.7

D. 0.8

Correct Answer: B

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Question 20

In the diagram below, what is the value of $x$?

A. 30

B. 60

Correct C. 90

D. 120

Correct Answer: C

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Question 21

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. 18%

D. 20%

Correct Answer: B

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Question 22

If $ \vec{a} = \begin{pmatrix} 2 \ 3 \end{pmatrix} $ and $ \vec{b} = \begin{pmatrix} 4 \ 5 \end{pmatrix} $, find the magnitude of the cross product $ \vec{a} \times \vec{b} $.

A. 10

B. 12

Correct C. 15

D. 20

Correct Answer: C

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Question 23

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

A. 0

Correct B. -2

C. -1

D. 1

Correct Answer: B

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Question 24

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?

A. 1/3

B. 1/2

Correct C. 2/3

D. 1

Correct Answer: C

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Question 25

Find the derivative of the function $ f(x) = 3x^2 + 2x - 5 $ u\sing the power rule.

Correct A. 6x + 2

B. 3x + 2

C. 2x + 5

D. x^2 + 2

Correct Answer: A

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