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POST UTME FUTO 2025 Mathematics | Objective

Are you preparing for POST UTME FUTO 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

Solve the inequality $ \frac{2x + 5}{x - 2} > 0 $ for $ x in \( -infty, infty \ $ ).

Correct A. $ -2, 2 $ cup (5, infty)

B. $ -infty, -2 $ cup (2, 5)

C. $ -infty, -2 $ cup (2, 5) cup (5, infty)

D. $ -infty, -2 $ cup (2, 5)

Correct Answer: A

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Question 2

Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).

Correct A. $ y = \frac{1}{2}x + \frac{1}{2} $

B. $ y = 2x - 1 $

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

D. $ y = 2x + 1 $

Correct Answer: A

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Question 3

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 5:3, how many loaves of whole wheat bread does the bakery sell per day?

Correct A. 200

B. 240

C. 300

D. 320

Correct Answer: A

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Question 4

Solve the system of equations $ egin{cases} x + y = 4 \ 2x - 3y = -1 \end{cases} $.

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

B. $ x = 3, y = 1 $

C. $ x = 2, y = 2 $

D. $ x = 4, y = 0 $

Correct Answer: A

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Question 5

A company produces two products, A and B. Product A requires 2 hours of labor and 3 hours of machine time, while product B requires 3 hours of labor and 2 hours of machine time. If the company has 120 hours of labor and 180 hours of machine time available, how many units of product A and product B should the company produce to maximize profit?

Correct A. 10 units of A, 15 units of B

B. 15 units of A, 10 units of B

C. 20 units of A, 20 units of B

D. 25 units of A, 25 units of B

Correct Answer: A

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Question 6

Solve for x in the equation $ \sin^2\( x \ $ + \cos^2(x) = 1 ), given that $ \sin\( x \ $ = \frac{3}{5} ).

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

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

Correct C. x = \frac{5\pi}{4}

D. x = \frac{7\pi}{4}

Correct Answer: C

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Question 7

A histogram of exam scores is shown below. If the mean score is 75, what is the median score?

A. 70

Correct B. 75

C. 80

D. 85

Correct Answer: B

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Question 8

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 9

Find the value of x in the equation $ 2^x = 64 $.

Correct A. x = 6

B. x = 4

C. x = 2

D. x = 1

Correct Answer: A

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Question 10

A circle has a radius of 4 cm. Find the area of the circle.

A. 50.24 cm^2

Correct B. 100.48 cm^2

C. 200.96 cm^2

D. 400.96 cm^2

Correct Answer: B

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Question 11

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

A. 32π

B. 64π

Correct C. 128π

D. 256π

Correct Answer: C

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Question 12

A histogram of exam scores is shown below. If the mean score is 75, find the value of k.

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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Question 13

Solve the inequality $ \frac{x - 2}{x + 1} > 0 $.

Correct A. $ -∞, -1 $ ∪ (1, ∞)

B. $ -∞, -1 $ ∪ (1, 2)

C. $ -∞, -1 $ ∪ (2, ∞)

D. $ -∞, 1 $ ∪ (2, ∞)

Correct Answer: A

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Question 14

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 15

A right circular cone has a height of 10 cm and a base radius of 5 cm. Find the volume of the cone.

A. 250π

B. 500π

Correct C. 1000π

D. 2000π

Correct Answer: C

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Question 16

Find the determinant of the matrix [ egin{array}{ccc} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{array} ].

A. -120

B. 120

Correct C. 0

D. -60

Correct Answer: C

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Question 17

The surface area of a cube with side length $s$ is given by the formula $6s^2$. Find the surface area of a cube with a side length of 5 cm.

Correct A. 150 cm^2

B. 120 cm^2

C. 100 cm^2

D. 90 cm^2

Correct Answer: A

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Question 18

Solve the equation [ \log_{10} $ x^2 $ = 4 ].

Correct A. 10

B. -10

C. 1

D. -1

Correct Answer: A

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Question 19

Find the volume of the frustum of a cone with radii 6 cm and 3 cm and height 8 cm.

A. 120\pi cm^3

Correct B. 150\pi cm^3

C. 180\pi cm^3

D. 200\pi cm^3

Correct Answer: B

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Question 20

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 = 4

D. $ x-2 $^2 + $ y+3 $^2 = 4

Correct Answer: A

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