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POST UTME FUTO 2025 Mathematics | Objective

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Question 1 View Details

Solve the inequality ($\frac{2x + 5}{x - 2}\(> 0$\) for x in \$(frac{2x + 5}{x - 2}\(> 0$$-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 View Details

Find the equation of the line passing 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 View Details

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 View Details

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 View Details

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 View Details

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

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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

A. 32π

B. 64π

Correct C. 128π

D. 256π

Correct Answer: C

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Question 12 View Details

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 View Details

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 View Details

Find the equation of the line passing 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 View Details

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 View Details

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 View Details

The surface area of a cube with side length (s\) is given by the formula $6s^2\\((s) is given by the formula$. 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 View Details

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 View Details

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 View Details

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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