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POST UTME BELLS UNIVERSITY 2020 Mathematics | Objective

Are you preparing for POST UTME BELLS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

Correct A. 2 \cdot \frac{3^{10} - 1}{3 - 1}

B. 2 \cdot \frac{3^{11} - 1}{3 - 1}

C. 2 \cdot \frac{3^{12} - 1}{3 - 1}

D. 2 \cdot \frac{3^{13} - 1}{3 - 1}

Correct Answer: A

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Question 2

Solve for x in the 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 3

A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

Correct A. 1/2

B. 1/3

C. 2/5

D. 3/8

Correct Answer: A

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Question 4

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

Correct A. y = x + 1

B. y = x - 1

C. y = -x + 3

D. y = x + 3

Correct Answer: A

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Question 5

A company produces x units of a product and incurs a fixed \cost of ₦5000 and a variable \cost of ₦200 per unit. If the selling price is ₦300 per unit, find the break-even point.

Correct A. x = 20

B. x = 25

C. x = 30

D. x = 35

Correct Answer: A

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Question 6

Solve for x in the equation $ \frac{x}{2} + 5 = 11 $.

Correct A. 6

B. 12

C. 18

D. 24

Correct Answer: A

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Question 7

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. 100

Correct B. 120

C. 150

D. 200

Correct Answer: B

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Question 8

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

Correct A. 6x + 2

B. 6x - 2

C. 3x^2 + 2

D. 3x^2 - 2

Correct Answer: A

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Question 9

A box contains 12 red balls and 8 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. 1/3

Correct B. 1/4

C. 2/5

D. 3/5

Correct Answer: B

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Question 10

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

Correct A. x < -1

B. x > -1

C. x < 1

D. x > 1

Correct Answer: A

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Question 11

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

Correct A. \frac{32\pi}{15}

B. \frac{16\pi}{3}

C. \frac{32\pi}{5}

D. \frac{64\pi}{3}

Correct Answer: A

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Question 12

Find the equation of the \tangent line to the curve $y = \frac{1}{x}$ at the point $$ 2, \frac{1}{2} $$.

A. y = -\frac{1}{4}x + 1

Correct B. y = -\frac{1}{4}x + \frac{1}{2}

C. y = \frac{1}{4}x + 1

D. y = \frac{1}{4}x + \frac{1}{2}

Correct Answer: B

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Question 13

A histogram of the heights of students in a class is shown below. If the class has 50 students, what is the probability that a randomly selected student is between 165 and 170 cm tall?

A. \frac{1}{5}

B. \frac{2}{5}

Correct C. \frac{3}{5}

D. \frac{4}{5}

Correct Answer: C

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Question 14

Solve the inequality $|x - 2| > 3$.

Correct A. $ -\infty, -1 $ \cup $ 4, \infty $

B. $ -\infty, 1 $ \cup $ 4, \infty $

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

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

Correct Answer: A

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Question 15

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

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

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

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

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

Correct Answer: A

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Question 16

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

Correct A. $ \frac{-x}{\( 1 - x^2 \ $^{3/2}} )

B. $ \frac{x}{\( 1 - x^2 \ $^{3/2}} )

C. $ \frac{1}{\( 1 - x^2 \ $^{3/2}} )

D. $ \frac{-1}{\( 1 - x^2 \ $^{3/2}} )

Correct Answer: A

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Question 17

A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. What is the probability that a randomly selected score is between 60 and 90?

A. 0.68

Correct B. 0.84

C. 0.95

D. 0.99

Correct Answer: B

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Question 18

Evaluate the definite integral $ int_{0}^{1} x^2 \sin x , dx $ u\sing integration by parts.

Correct A. $ -\cos x + x^2 \sin x $

B. $ \cos x - x^2 \sin x $

C. $ -\sin x - x^2 \cos x $

D. $ \sin x + x^2 \cos x $

Correct Answer: A

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Question 19

Solve the equation $ 2^x + 2^{-x} = 10 $ for ( x ).

Correct A. $ x = \log_2 3 $

B. $ x = -\log_2 3 $

C. $ x = \log_2 5 $

D. $ x = -\log_2 5 $

Correct Answer: A

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Question 20

A circle has a radius of 4 cm. Find the area of the circle u\sing the formula $ A = pi r^2 $.

Correct A. ( 16pi ) cm^2

B. ( 32pi ) cm^2

C. ( 64pi ) cm^2

D. ( 128pi ) cm^2

Correct Answer: A

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Question 21

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

Correct A. 16

B. 32

C. 64

D. 128

Correct Answer: A

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Question 22

Solve for ( x ) in the equation $ 2x + 5 = 11 $.

Correct A. 3

B. 4

C. 5

D. 6

Correct Answer: A

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Question 23

Find the determinant of the matrix $ \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} $.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 24

Solve the inequality $ 2x - 5 > 3 $.

Correct A. x > 4

B. x < 4

C. x > 3

D. x < 3

Correct Answer: A

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Question 25

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

Correct A. y = 1x + 1

B. y = 2x + 2

C. y = 3x + 3

D. y = 4x + 4

Correct Answer: A

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