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POST UTME SUMMIT UNIVERSITY 2017 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 2017 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the equation of the circle with centre (2, 3) and radius 4.

Correct A. $ x - 2 \ $^2 + $ y - 3 $^2 = 16 )

B. $ x + 2 \ $^2 + $ y - 3 $^2 = 16 )

C. $ x - 2 \ $^2 + $ y + 3 $^2 = 16 )

D. $ x + 2 \ $^2 + $ y + 3 $^2 = 16 )

Correct Answer: A

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Question 2

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

Correct A. $ x < -1 $ or $ x > \frac{3}{2} $

B. $ x < -1 $ or $ x < \frac{3}{2} $

C. $ x > -1 $ or $ x < \frac{3}{2} $

D. $ x > -1 $ or $ x > \frac{3}{2} $

Correct Answer: A

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Question 3

Find the sum of the first 10 terms of the geometric progression 2, 6, 18, ...

Correct A. ( 3054 )

B. ( 3056 )

C. ( 3058 )

D. ( 3060 )

Correct Answer: A

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Question 4

Solve the system of equations $ x + y = 3 $ and $ xy = 2 $.

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

B. $ x = 2, y = 1 $

C. $ x = 1, y = -2 $

D. $ x = -2, y = 1 $

Correct Answer: A

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Question 5

Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).

Correct A. ( 12 )

B. ( 14 )

C. ( 16 )

D. ( 18 )

Correct Answer: A

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Question 6

Find the equation of the circle with center $ -2, 3 $ and radius 4.

Correct A. $ x + 2 \ $^2 + $ y - 3 $^2 = 16 )

B. $ x - 2 \ $^2 + $ y + 3 $^2 = 16 )

C. $ x + 2 \ $^2 + $ y + 3 $^2 = 16 )

D. $ x - 2 \ $^2 + $ y - 3 $^2 = 16 )

Correct Answer: A

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Question 7

Solve for x in the equation $ 2^x + 2^{x+1} = 3 cdot 2^x $.

A. $ x = -1 $

B. $ x = 0 $

Correct C. $ x = 1 $

D. $ x = 2 $

Correct Answer: C

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Question 8

Find the value of $ \log_{10} \( 1000 \ $ ).

A. ( 3 )

Correct B. ( 4 )

C. ( 5 )

D. ( 6 )

Correct Answer: B

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Question 9

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

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

B. $ x = 1, y = 3 $

C. $ x = 2, y = 2 $

D. $ x = 4, y = 0 $

Correct Answer: A

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Question 10

Find the mean of the numbers 2, 4, 6, 8, 10.

A. ( 6 )

B. ( 7 )

Correct C. ( 8 )

D. ( 9 )

Correct Answer: C

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Question 11

A random variable X has a probability distribution given by P$ X = 1 $ = 0.3, P$ X = 2 $ = 0.4, and P$ X = 3 $ = 0.3. Find the expected value of X.

Correct A. 1.1

B. 1.2

C. 1.3

D. 1.4

Correct Answer: A

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Question 12

Solve the inequality $ x^2 + 4x - 5 \geq 0 $.

Correct A. $ x \leq -5 $ or $ x \geq 1 $

B. $ x \leq -1 $ or $ x \geq 5 $

C. $ x \leq -5 $ or $ x \geq -1 $

D. $ x \leq 1 $ or $ x \geq 5 $

Correct Answer: A

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Question 13

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

Correct A. $ \frac{8}{3} $

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

C. $ \frac{32}{3} $

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

Correct Answer: A

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Question 14

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

Correct A. $ \frac{121}{60} $

B. $ \frac{241}{120} $

C. $ \frac{421}{240} $

D. $ \frac{521}{300} $

Correct Answer: A

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Question 15

A set of numbers is defined as $ S = \{ x \in \mathbb{R} : x^2 - 4x + 3 = 0 \} $. Find the elements of the set S.

Correct A. $ \{ 1, 3 \} $

B. $ \{ -1, -3 \} $

C. $ \{ 1, -3 \} $

D. $ \{ -1, 3 \} $

Correct Answer: A

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Question 16

Solve for x in the equation $ \frac{1}{x+2} + \frac{1}{x-3} = \frac{1}{2} $.

Correct A. $ x = -\frac{5}{2} $

B. $ x = \frac{5}{2} $

C. $ x = -\frac{1}{2} $

D. $ x = \frac{1}{2} $

Correct Answer: A

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Question 17

In a set of 10 integers, 3 are even and 7 are odd. If 2 integers are randomly selected, what is the probability that both integers are odd?

A. $ \frac{1}{10} $

B. $ \frac{1}{5} $

Correct C. $ \frac{7}{10} $

D. $ \frac{9}{10} $

Correct Answer: C

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Question 18

Find the sum of the infinite geometric series $ sum_{n=1}^{infty} \frac{2}{3^n} $.

Correct A. $ \frac{2}{3} $

B. $ \frac{4}{3} $

C. $ \frac{6}{3} $

D. $ \frac{8}{3} $

Correct Answer: A

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Question 19

Solve the quadratic 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 20

Find the value of $ \log_{10} \( 1000 \ $ ).

A. ( 3 )

Correct B. ( 4 )

C. ( 5 )

D. ( 6 )

Correct Answer: B

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Question 21

Determine the value of $x$ in the equation $2^x + 5^x = 7^x$.

A. 1

B. 2

C. 3

Correct D. 4

Correct Answer: D

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Question 22

Find the mean of the data set: 2, 4, 6, 8, 10.

A. 4

B. 5

Correct C. 6

D. 7

Correct Answer: C

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Question 23

Solve the system of equations: \[ \begin{array}{ccc} x + y &=& 4 \ x - y &=& 2 \end{array} \]

Correct A. x = 1, y = 3

B. x = 2, y = 2

C. x = 3, y = 1

D. x = 4, y = 0

Correct Answer: A

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Question 24

Find the determinant of the matrix: \[ \begin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} \]

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 25

Solve the vector equation: \[ \begin{pmatrix} 2 \ 3 \ 4 \end{pmatrix} \cdot \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} = 25 \]

A. x = 5

B. x = 10

Correct C. x = 15

D. x = 20

Correct Answer: C

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