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POST UTME SUMMIT UNIVERSITY 2020 Mathematics | Objective

Are you preparing for POST UTME SUMMIT 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

Determine the mean of the following data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?

A. 12

Correct B. 14

C. 16

D. 18

Correct Answer: B

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Question 2

A survey of 100 students found that 60 students preferred coffee, 30 students preferred tea, and 10 students preferred both. What is the probability that a randomly selected student prefers coffee or tea?

A. 0.7

Correct B. 0.75

C. 0.8

D. 0.85

Correct Answer: B

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Question 3

The volume of a rec\tangular prism is given by V = lwh. If the length is tripled, the width is doubled, and the height is halved, what is the new volume?

A. $ l/2 $$ w/3 $$ h/3 $

B. (3l)$ 2w)\( h/2 \ $

Correct C. (3l)$ 2w)\( h/2 \ $

D. $ l/3 $$ w/2 $$ h/6 $

Correct Answer: C

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Question 4

Solve for x in the equation: 2^x + 5^x = 10^x.

A. x = 2

Correct B. x = 3

C. x = 4

D. x = 5

Correct Answer: B

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Question 5

A right triangle has a hypotenuse of length 10 and one leg of length 6. What is the length of the other leg?

Correct A. 8

B. 10

C. 12

D. 14

Correct Answer: A

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Question 6

In a certain number base, the number 1011 is equivalent to 11 in base 10. What is the value of the number base?

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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Question 7

A rec\tangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. What is the volume of the prism?

A. 400 cm^3

B. 500 cm^3

Correct C. 600 cm^3

D. 800 cm^3

Correct Answer: C

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Question 8

Two events, A and B, are indep\endent. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. What is the probability that both events occur?

A. 0.2

Correct B. 0.24

C. 0.3

D. 0.36

Correct Answer: B

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Question 9

Simplify the expression $ \sqrt{48} $.

A. 4√3

B. 6√2

Correct C. 8√3

D. 12√2

Correct Answer: C

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Question 10

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

Correct A. -6, 1

B. -3, 2

C. -2, 3

D. -1, 6

Correct Answer: A

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Question 11

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 12

Solve for ( x ) in the equation $ \sin^2 x + \cos^2 x = 1 $.

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

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

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

D. x = \frac{5\pi}{4}

Correct Answer: A

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Question 13

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

A. \frac{1}{3}

B. \frac{1}{2}

Correct C. \frac{2}{3}

D. \frac{5}{6}

Correct Answer: C

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Question 14

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

A. \frac{1}{6}

Correct B. \frac{1}{3}

C. \frac{1}{2}

D. \frac{2}{3}

Correct Answer: B

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Question 15

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?

A. \frac{1}{2}

Correct B. \frac{2}{5}

C. \frac{3}{5}

D. \frac{4}{5}

Correct Answer: B

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Question 16

Determine the value of $x$ in the equation $left$ \frac{1}{2} \right $^x = \frac{1}{64}$.

A. 2

B. 3

C. 4

Correct D. 5

Correct Answer: D

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Question 17

Find the sum of the first $n$ terms of the geometric series $\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \cdots$.

Correct A. 1 - \frac{1}{2^n}

B. 1 - \frac{1}{2^{n+1}}

C. 1 + \frac{1}{2^n}

D. 1 + \frac{1}{2^{n+1}}

Correct Answer: A

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Question 18

Solve the inequality $\log_2 $ x^2 - 4 $ > 2$.

A. $x > 2$

B. $x < -2$

Correct C. $x > 2$ or $x < -2$

D. $x > 4$

Correct Answer: C

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Question 19

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 20

Solve the system of equations $\begin{cases} 2x + 3y = 7 \ 4x - 2y = -3 \end{cases}$.

A. $x = 1, y = 2$

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

C. $x = -1, y = 3$

D. $x = 3, y = -1$

Correct Answer: B

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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 the matrix equation $ \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 7 \end{bmatrix} $.

Correct A. \\begin{bmatrix} 1 \\ 2 \\end{bmatrix}

B. \\begin{bmatrix} 2 \\ 1 \\end{bmatrix}

C. \\begin{bmatrix} 3 \\ 4 \\end{bmatrix}

D. \\begin{bmatrix} 4 \\ 3 \\end{bmatrix}

Correct Answer: A

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Question 23

Find the sum of the first 5 terms of the geometric progression ( 2, 6, 18, 54, ... ).

Correct A. 190

B. 210

C. 230

D. 250

Correct Answer: A

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Question 24

Find the mean deviation of the data set ( 2, 4, 6, 8, 10 ).

Correct A. 4

B. 6

C. 8

D. 10

Correct Answer: A

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Question 25

Solve the system of linear equations $ 2x + 3y = 7 $ and $ x - 2y = -3 $.

Correct A. \begin{bmatrix} x = 1 \ y = 2 \end{bmatrix}

B. \begin{bmatrix} x = 2 \ y = 1 \end{bmatrix}

C. \begin{bmatrix} x = 3 \ y = 4 \end{bmatrix}

D. \begin{bmatrix} x = 4 \ y = 3 \end{bmatrix}

Correct Answer: A

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