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POST UTME SUMMIT UNIVERSITY 2025 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 2025 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A solid right circular cone has a height of 20 cm and a base radius of 8 cm. Find the volume of the cone in terms of π.

A. 64\pi\text{ cm}^3

Correct B. 128\pi\text{ cm}^3

C. 256\pi\text{ cm}^3

D. 512\pi\text{ cm}^3

Correct Answer: B

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Question 2

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

B. 250

Correct C. 300

D. 350

Correct Answer: C

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Question 3

A circle has a diameter of 10 cm. Find the area of the circle in terms of π.

A. 25\pi\text{ cm}^2

B. 50\pi\text{ cm}^2

C. 75\pi\text{ cm}^2

Correct D. 100\pi\text{ cm}^2

Correct Answer: D

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Question 4

A sequence is defined as: $a_n = 2n^2 + 3n - 1$. Find the 10th term of the sequence.

A. 191

B. 201

Correct C. 211

D. 221

Correct Answer: C

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Question 5

A set of numbers is defined as: $S = \{x | x = 2n, n \in \mathbb{Z}\}$. Find the value of $x$ such that $x \in S$ and $x > 10$.

A. 12

B. 14

Correct C. 16

D. 18

Correct Answer: C

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Question 6

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 7

A circle has a diameter of 10 cm. Find the area of the circle.

A. 78.5

B. 78.54

Correct C. 78.5

D. 78.54

Correct Answer: C

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Question 8

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

A. $ -\infty, -1 $ \cup $ 3, \infty $

B. $ -\infty, -3 $ \cup $ 1, \infty $

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

D. $ -\infty, -3 $ \cup $ 3, \infty $

Correct Answer: C

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Question 9

Find the volume of a rec\tangular prism with length 5 cm, width 3 cm, and height 2 cm.

Correct A. 30

B. 30

C. 30

D. 30

Correct Answer: A

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Question 10

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

A. 11

B. 13

Correct C. 15

D. 17

Correct Answer: C

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Question 11

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

Correct A. 104,783

B. 104,783

C. 104,783

D. 104,783

Correct Answer: A

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Question 12

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

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

B. x < -1 \text{ or } x > 1

C. x < -1 \text{ or } x > 1

D. x < -1 \text{ or } x > 1

Correct Answer: A

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Question 13

Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 4.

Correct A. 56

B. 56

C. 56

D. 56

Correct Answer: A

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Question 14

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} 1 \ 2 \end{bmatrix}

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

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

Correct Answer: A

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Question 15

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

Correct A. 3

B. 3

C. 3

D. 3

Correct Answer: A

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Question 16

Solve the inequality $ \frac{x+2}{x^2-4} > 0 $ for $ x in \( -infty, infty \ $ ).

Correct A. $ -2, -1 $ ∪ (1, ∞)

B. $ -∞, -2 $ ∪ $ -1, 1 $

C. $ -∞, -2 $ ∪ (1, ∞)

D. $ -2, 1 $

Correct Answer: A

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Question 17

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

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = x - 1

D. y = x + 1

Correct Answer: A

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Question 18

A binary operation ( ast ) is defined as $ a ast b = a^2 + b^2 $. Find ( 2 ast 3 ).

Correct A. 13

B. 14

C. 15

D. 16

Correct Answer: A

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Question 19

Solve the quadratic equation $ x^2 + 4x + 4 = 0 $.

Correct A. x = -2

B. x = -1

C. x = 0

D. x = 1

Correct Answer: A

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Question 20

A circle with center ( (0, 0) ) and radius ( 4 ) has an equation of the form $ x^2 + y^2 = r^2 $. Find the value of ( r ).

Correct A. 4

B. 8

C. 16

D. 32

Correct Answer: A

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Question 21

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

Correct A. 10

B. 12

C. 14

D. 16

Correct Answer: A

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Question 22

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

Correct A. x < -1 or x > 3/2

B. x > -1 or x < 3/2

C. x < 3/2 or x > -1

D. x > 3/2 or x < -1

Correct Answer: A

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Question 23

A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that both balls are red?

Correct A. 1/4

B. 1/2

C. 3/4

D. 2/3

Correct Answer: A

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Question 24

Find the value of ( x ) in the equation $ x^2 - 4x + 4 = 0 $.

A. 0

Correct B. 2

C. 4

D. 6

Correct Answer: B

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Question 25

A company produces two products, A and B. The profit from product A is $10 per unit, and the profit from product B is $15 per unit. If the company produces 100 units of product A and 50 units of product B, what is the total profit?

A. $1500

Correct B. $2000

C. $2500

D. $3000

Correct Answer: B

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