Exam Body

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Subject

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POST UTME UNN 2019 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 2019 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 $ 2x^2 + 5x - 3 = 0 $.

A. -1

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 2

A histogram of exam scores is shown below. What is the mean score?

A. 50

B. 60

Correct C. 70

D. 80

Correct Answer: C

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Question 3

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

A. 2

B. 4

Correct C. 10

D. 20

Correct Answer: C

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Question 4

Find the determinant of the matrix $ \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \ $.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 5

A population of 1000 bacteria is growing at a rate of 20% per hour. What is the population after 3 hours?

A. 1600

B. 1800

Correct C. 2000

D. 2200

Correct Answer: C

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Question 6

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. 3.33 cm

C. 4.17 cm

D. 5.00 cm

Correct Answer: B

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Question 7

A vector \mathbf{a} has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If a vector \mathbf{b} has a magnitude of 3 units and makes an angle of 60° with the positive x-axis, find the magnitude of the sum of the two vectors.

A. 4.33 units

B. 5.00 units

Correct C. 6.07 units

D. 7.07 units

Correct Answer: C

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Question 8

A circle has a radius of 4 cm. If the area of the circle is 50.24 cm², find the circumference of the circle.

A. 12.57 cm

Correct B. 15.71 cm

C. 25.13 cm

D. 31.42 cm

Correct Answer: B

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Question 9

A 3x3 matrix \mathbf{A} has the following elements: \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}. Find the determinant of the matrix.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 10

A random experiment has two indep\endent events A and B. 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 A and B occur.

A. 0.24

Correct B. 0.36

C. 0.48

D. 0.64

Correct Answer: B

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Question 11

Determine the value of x in the equation $ \frac{1}{x} + \frac{1}{2} = \frac{3}{4} $.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 12

A histogram of exam scores is shown below. What is the mean score?

A. 50

B. 60

Correct C. 70

D. 80

Correct Answer: C

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Question 13

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

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 14

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

A. 16

B. 32

Correct C. 64

D. 128

Correct Answer: C

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Question 15

A sequence is defined by the formula $ a_n = 2n + 1 $. Find the 5th term of the sequence.

A. 9

B. 11

Correct C. 13

D. 15

Correct Answer: C

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Question 16

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

Correct A. $ \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 $

B. $ \frac{1}{2} \times 4^2 + 3 \times 4 - 2 $

C. $ \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 $

D. $ \frac{1}{2} \times 4^2 + 3 \times 4^3 - 2 \times 4 $

Correct Answer: A

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Question 17

Solve the inequality $ 2x^2 + 5x - 3 > 0 $.

Correct A. $ x < -\frac{5}{2} $ or $ x > \frac{3}{2} $

B. $ x < -\frac{3}{2} $ or $ x > \frac{5}{2} $

C. $ x < -\frac{5}{2} $ or $ x < \frac{3}{2} $

D. $ x > -\frac{5}{2} $ or $ x < \frac{3}{2} $

Correct Answer: A

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Question 18

Find the volume of the solid formed by revolving the region bounded by the curve $ y = x^2 $ and the line $ x = 2 $ about the x-axis.

A. $ \frac{32}{3} pi $

Correct B. $ \frac{64}{3} pi $

C. $ \frac{128}{3} pi $

D. $ \frac{256}{3} pi $

Correct Answer: B

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Question 19

Solve the equation $ x^3 - 6x^2 + 11x - 6 = 0 $.

Correct A. $ x = 1, 2, 3 $

B. $ x = 1, 3, 4 $

C. $ x = 2, 3, 4 $

D. $ x = 1, 2, 5 $

Correct Answer: A

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Question 20

Find the surface area of the solid formed by revolving the region bounded by the curve $ y = x^2 $ and the line $ x = 2 $ about the x-axis.

A. ( 32 pi )

Correct B. ( 64 pi )

C. ( 128 pi )

D. ( 256 pi )

Correct Answer: B

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Question 21

Determine the value of $\int_{0}^{\pi} \frac{\sin x}{1 + \cos^2 x} dx$.

Correct A. \frac{\pi}{2}

B. \frac{\pi}{4}

C. \frac{\pi}{8}

D. \frac{\pi}{16}

Correct Answer: A

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Question 22

A histogram of exam scores is shown below. What is the mean of the scores?

A. 40

Correct B. 50

C. 60

D. 70

Correct Answer: B

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Question 23

Solve for $x$: $\log_{10} $ x^2 $ = 4$.

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 24

Find the area under the curve $y = \frac{1}{x}$ from $x = 1$ to $x = 2$.

Correct A. \ln 2

B. \ln 4

C. \ln 6

D. \ln 8

Correct Answer: A

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Question 25

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

A. 15

B. 25

C. 35

Correct D. 45

Correct Answer: D

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