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POST UTME UNIBEN 2021 Mathematics | Objective

Are you preparing for POST UTME UNIBEN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Determine the value of x in the equation $ \sin^2 x + \cos^2 x = 1 $ if $ \sin x = \frac{3}{5} $.

Correct A. $ \frac{pi}{4} $

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

C. $ \frac{pi}{2} $

D. $ \frac{pi}{6} $

Correct Answer: A

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Question 2

Solve the matrix equation $ egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix} $.

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

B. $ x = 2, y = 1 $

C. $ x = 1, y = 1 $

D. $ x = 2, y = 2 $

Correct Answer: A

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Question 3

A particle moves in a straight line with a velocity of ( v(t) = 2t + 1 ) m/s. Find the acceleration of the particle at time $ t = 2 $ s.

Correct A. ( 4 ) m/s^2

B. ( 2 ) m/s^2

C. ( 1 ) m/s^2

D. ( 3 ) m/s^2

Correct Answer: A

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Question 4

A fair six-sided die is rolled. What is the probability that the number appearing is a multiple of 3?

A. $ \frac{1}{6} $

Correct B. $ \frac{1}{3} $

C. $ \frac{2}{3} $

D. $ \frac{5}{6} $

Correct Answer: B

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Question 5

Solve the trigonometric equation $ \tan x = \frac{1}{\sqrt{3}} $ for ( x ) in the interval ( [0, 2pi) ).

Correct A. $ \frac{pi}{6} $

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

C. $ \frac{pi}{2} $

D. $ \frac{2pi}{3} $

Correct Answer: A

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Question 6

Find the volume of the frustum of a cone with height $h=5$ and radii of the bases $r_1=3$ and $r_2=2$.

Correct A. \frac{1}{3}\pi (5) $ 3^2 + 2^2 + 3 \cdot 2 $

B. \frac{1}{3}\pi (5) $ 3^2 - 2^2 + 3 \cdot 2 $

C. \frac{1}{3}\pi (5) $ 3^2 + 2^2 - 3 \cdot 2 $

D. \frac{1}{3}\pi (5) $ 3^2 - 2^2 - 3 \cdot 2 $

Correct Answer: A

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Question 7

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

Correct A. x < 0 \text{ or } x > 1

B. x < 1

C. x > 1

D. x > 0

Correct Answer: A

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Question 8

Find the derivative of the function $f(x) = \frac{1}{x^2 + 1}$.

Correct A. f'(x) = \frac{-2x}{$ x^2 + 1 $^2}

B. f'(x) = \frac{2x}{$ x^2 + 1 $^2}

C. f'(x) = \frac{x}{$ x^2 + 1 $^2}

D. f'(x) = \frac{-x}{$ x^2 + 1 $^2}

Correct Answer: A

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Question 9

Solve the equation $\sin^2 x + \cos^2 x = 1$.

A. x = \frac{\pi}{4}

B. x = \frac{\pi}{2}

C. x = \frac{3\pi}{4}

Correct D. x = \frac{\pi}{2} \text{ or } x = \frac{3\pi}{4}

Correct Answer: D

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Question 10

Find the area of the triangle with vertices $A(0, 0)$, $B(3, 0)$, and $C(0, 4)$.

Correct A. \frac{1}{2} (3) (4)

B. \frac{1}{2} (3) (5)

C. \frac{1}{2} (4) (5)

D. \frac{1}{2} (3) (6)

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. 24π cm³

Correct B. 48π cm³

C. 96π cm³

D. 192π cm³

Correct Answer: B

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Question 12

Solve the system of equations u\sing matrices:\n$ egin{cases} 2x + 3y = 7 \ 4x - 2y = -2 \end{cases} $

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

B. $ x = 2, y = 1 $

C. $ x = 3, y = 4 $

D. $ x = 4, y = 3 $

Correct Answer: A

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Question 13

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. 200

Correct B. 250

C. 300

D. 350

Correct Answer: B

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Question 14

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

A. 27

B. 30

Correct C. 33

D. 36

Correct Answer: C

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Question 15

Simplify the expression $ \frac{1}{2} \log_2 \( x^2 + 1 \ $ + \frac{3}{2} \log_2 $ x^2 - 1 $ ).

A. $ \log_2 \( x^2 + 1 \ $ )

B. $ \log_2 \( x^2 - 1 \ $ )

C. $ \log_2 \( x^2 + 1 \ $ + \log_2 $ x^2 - 1 $ )

Correct D. $ \log_2 \( x^2 + 1 \ $ - \log_2 $ x^2 - 1 $ )

Correct Answer: D

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Question 16

Find the value of 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 17

A set A contains 5 elements. If we select 2 elements from set A, what is the number of ways to do this?

A. 10

B. 15

Correct C. 20

D. 25

Correct Answer: C

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Question 18

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 19

A sequence is defined as $ 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 20

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

A. 5

B. 10

Correct C. 15

D. 20

Correct Answer: C

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Question 21

A set A contains 5 elements. If we select 2 elements from set A, what is the number of ways to do this?

A. 10

B. 15

Correct C. 20

D. 25

Correct Answer: C

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Question 22

Find the value of 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 23

A sequence is defined as $ 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 24

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

A. 5

B. 10

Correct C. 15

D. 20

Correct Answer: C

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Question 25

A set A contains 5 elements. If we select 2 elements from set A, what is the number of ways to do this?

A. 10

B. 15

C. 20

D. 25

Correct Answer: VIEW ANSWER

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