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POST UTME DELSU 2025 Mathematics | Objective

Prepare for your exams with POST UTME DELSU questions? Reviewing past/model 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.

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Question 1 View Details

Solve the inequality $\frac{x}{x+1} > \frac{1}{x+1}$ for x in mathbb{R} setminus {-1}.

Correct A. $x > 0$

B. $x < 0$

C. $x > -1$

D. $x < -1$

Correct Answer: A

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Question 2 View Details

Find the volume of the frustum of a cone with height $h = 6$ cm, lower base radius $r_1 = 4$ cm, and upper base radius $r_2 = 2$ cm.

Correct A. $\frac{1}{3} \pi 4^2 + 2^2 + 4 \cdot 4 \cdot 2 \$ ) cm³

B. $\frac{1}{3} \pi 4^2 + 2^2 + 4 \cdot 4 \cdot 2 \$ ) cm³

C. $\frac{1}{3} \pi 4^2 + 2^2 + 4 \cdot 4 \cdot 2 \$ ) cm³

D. $\frac{1}{3} \pi 4^2 + 2^2 + 4 \cdot 4 \cdot 2 \$ ) cm³

Correct Answer: A

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Question 3 View Details

Determine the sum of the first 10 terms of the geometric series $2 + 6 + 18 + ldots$.

Correct A. $2 \left \frac{1 - 3^{10}}{1 - 3} \right \$ )

B. $2 \left \frac{1 - 3^{10}}{1 - 3} \right \$ )

C. $2 \left \frac{1 - 3^{10}}{1 - 3} \right \$ )

D. $2 \left \frac{1 - 3^{10}}{1 - 3} \right \$ )

Correct Answer: A

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Question 4 View Details

Find the derivative of the function ( f(x) = $\frac{1}{x^2 + 1}$\)\) ) using the chain rule.

Correct A. ( f'$(x) =$$\frac{-2x}{x^2 + 1$ ^2}\)\) )

B. ( f'$(x) =$$\frac{2x}{x^2 + 1$ ^2}\)\) )

C. ( f'$(x) =$$\frac{-2x}{x^2 + 1$ ^2}\)\) )

D. ( f'$(x) =$$\frac{2x}{x^2 + 1$ ^2}\)\) )

Correct Answer: A

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Question 5 View Details

Solve the system of linear equations $egin{cases} x + 2y = 6 \ 3x - 2y = -3 \end{cases}$.

Correct A. $x = 3, y = 1.5$

B. $x = 3, y = -1.5$

C. $x = 3, y = 1.5$

D. $x = 3, y = -1.5$

Correct Answer: A

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Question 6 View Details

In a random experiment, two events A and B are independent. If P(A) = 0.4 and P(B) = 0.5, what is the probability that both events occur?

Correct A. 0.2

B. 0.6

C. 0.8

D. 0.9

Correct Answer: A

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Question 7 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 + $y + 3$^$2 = 16$

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

Correct Answer: A

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Question 8 View Details

Solve the equation [ 2 \$\sin^2$ x + \cos $2x = 1$ ] for x in the interval [0, 2π].

A. $x =$π/4, 3π/4

B. $x =$π/4, 5π/4

Correct C. $x =$π/4, 3π/4, 5π/4

D. $x =$π/4, 3π/4, 5π/4, 7π/4

Correct Answer: C

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Question 9 View Details

A histogram of exam scores has a mean of 75 and a standard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?

A. 0.68

Correct B. 0.84

C. 0.95

D. 0.99

Correct Answer: B

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Question 10 View Details

Solve the inequality [ $x^3 - 6x^2 + 11x - 6$ geq 0 ] for x.

A. $x \le 1$, $x \ge 2$

B. $x \le 1$, $2 \le x$$\le 3$

Correct C. $x \le 1$, $2 \le x$$\le 3$, $x \ge 6$

D. $x \le 1$, $2 \le x$$\le 3$, $x \ge 6$, $x \le 7$

Correct Answer: C

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Question 11 View Details

Find the derivative of the function ( f(x) = $\frac{x^2 + 2x - 3}{x^2 - 4}$\)\) ) using the quotient rule.

Correct A. $\frac{x^2 - 4$ 2x + 2 \ - $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

B. $\frac{x^2 - 4$ 2x + 2 \ + $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

C. $\frac{x^2 - 4$ 2x + 2 \ - $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

D. $\frac{x^2 - 4$ 2x + 2 \ + $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

Correct Answer: A

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Question 12 View Details

Solve the system of linear equations using the method of substitution: $egin{cases} 2x + 3y = 7 \ x - 2y = -3 \end{cases}$.

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

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

C. $x = 1, y = 2$

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

Correct Answer: A

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Question 13 View Details

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

Correct A. $\frac{5}{3}$

B. $\frac{7}{3}$

C. $\frac{9}{3}$

D. $\frac{11}{3}$

Correct Answer: A

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Question 14 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 15 View Details

Find the derivative of the function ( f(x) = \$\sin^2$ x ) using the chain rule.

Correct A. $2 \(1x$1x\)

B. $2 $1x \cos^2 x$

C. $2 $1x \sin^2 x$

D. $2 \sin^2 x $1x$

Correct Answer: A

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Question 16 View Details

Find the derivative of the function ( f(x) = $\frac{1}${\sqrt{1-$x^2}}$\) ) using the chain rule.

Correct A. $\frac{-x}{1-x^2 \$^{$3/2$}} )

B. $\frac{x}{1-x^2 \$^{$3/2$}} )

C. $\frac{1}{1-x^2 \$^{$3/2$}} )

D. $\frac{-1}{1-x^2 \$^{$3/2$}} )

Correct Answer: A

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Question 17 View Details

In the diagram below, find the equation of the circle with center ( C(2,3) ) and radius ( 4 ).

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

B. $x-2 \$^2 + $y-3$^$2 = 4$ )

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

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

Correct Answer: A

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Question 18 View Details

Find the sum of the first 10 terms of the geometric series $2x^2 + 4x^3 + 8x^4 + ldots$.

Correct A. $2x^2 \left \frac{1 - 2^{10} x^{10}}{1 - 2x} \right \$ )

B. $2x^2 \left \frac{1 - 2^{10} x^{10}}{1 + 2x} \right \$ )

C. $2x^2 \left \frac{1 - 2^{10} x^{10}}{1 - 2x} \right \$ + $4x^3$ left$\frac{1 - 2^{10} x^{10}}{1 - 2x} \right$ )

D. $2x^2 \left \frac{1 - 2^{10} x^{10}}{1 + 2x} \right \$ + $4x^3$ left$\frac{1 - 2^{10} x^{10}}{1 + 2x} \right$ )

Correct Answer: A

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Question 19 View Details

Solve the inequality $\log_2 x^2 + 1 \$$> 3 ).$

Correct A. $x > \sqrt{7}$

B. $x < \sqrt{7}$

C. $x > -\sqrt{7}$

D. $x < -\sqrt{7}$

Correct Answer: A

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Question 20 View Details

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

Correct A. $\frac{20}{5}$

B. $\frac{40}{5}$

C. $\frac{60}{5}$

D. $\frac{80}{5}$

Correct Answer: A

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Question 21 View Details

A random sample of 25 students from a university had a mean height of 175.5 cm with a standard deviation of 5.2 cm. If the population standard deviation is 6.1 cm, calculate the 95% confidence interval for the mean height of all students in the university.

A. 169.4 cm, 181.6 cm

Correct B. 171.1 cm, 179.9 cm

C. 173.5 cm, 177.5 cm

D. 175.1 cm, 175.9 cm

Correct Answer: B

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Question 22 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. $x + 3$^2 + $y - 2$^$2 = 16$

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

Correct Answer: A

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Question 23 View Details

A vector mathbf{a} has a magnitude of 5 and makes an angle of 30° with the positive x-axis. Find the magnitude of the vector \mathbf{a} + \mathbf{b}, where \\(mathbf{a} has a magnitude of 5 and makes an angle of 30° with the positive x-axis. Find the magnitude of the vector mathbf{a} + \mathbf{b} is a unit vector in the direction of the negative y-axis.

A. 5.83

B. 6.07

Correct C. 6.35

D. 6.67

Correct Answer: C

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Question 24 View Details

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

A. $x = -1$

Correct B. $x = -2$

C. $x = -3$

D. $x = -4$

Correct Answer: B

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Question 25 View Details

A histogram is constructed with 5 classes of equal width. The first class has a frequency of 10, the second class has a frequency of 15, the third class has a frequency of 20, the fourth class has a frequency of 12, and the fifth class has a frequency of 8. Find the class width.

A. 2

Correct B. 3

C. 4

D. 5

Correct Answer: B

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