POST UTME RSU 2025 Mathematics | Objective

Prepare for your exams with POST UTME RSU 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
Determine the value of ( x ) in the equation \(\frac{x}{2} + 5 = 11\).
Correct A. 4
B. 6
C. 8
D. 10

Correct Answer: A

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Question 2 View Details
A histogram of exam scores is shown below. If the mean score is 75, and the standard deviation is 10, what is the area under the curve between 60 and 80?
A. 0.5
Correct B. 1.0
C. 1.5
D. 2.0

Correct Answer: B

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Question 3 View Details
Solve the quadratic equation \(x^2 + 4x + 4 = 0\).
A. -2
Correct B. 0
C. 2
D. 4

Correct Answer: B

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Question 4 View Details
A right triangle has a hypotenuse of length 10 and one leg of length 6. What is the length of the other leg?
Correct A. 4
B. 6
C. 8
D. 10

Correct Answer: A

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Question 5 View Details
Find the area under the curve \(y = x^2\) from \(x = 0\) to \(x = 4\).
Correct A. 16
B. 32
C. 64
D. 128

Correct Answer: A

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Question 6 View Details
Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{array} ].
Correct A. -1
B. 1
C. 0
D. 2

Correct Answer: A

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Question 7 View Details
A curve is defined by the equation [\(y =\)\(\frac{1}{x^2 + 1}\)\)\) \]. Find the derivative of this function using the chain rule.
A. \(\frac{-2x}{x^2 + 1\) ^2}\)\)
Correct B. \(\frac{2x}{x^2 + 1\) ^2}\)\)
C. \(\frac{-1}{x^2 + 1\) ^2}\)\)
D. \(\frac{1}{x^2 + 1\) ^2}\)\)

Correct Answer: B

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Question 8 View Details
Find the equation of the circle with center [ (3, 4) \] and radius [ 5 \].
Correct A. \left\(x - 3\right\)^2 + \left\(y - 4\right\)^\(2 = 25\)
B. \left\(x - 4\right\)^2 + \left\(y - 3\right\)^\(2 = 25\)
C. \left\(x - 3\right\)^2 + \left\(y - 3\right\)^\(2 = 25\)
D. \left\(x - 4\right\)^2 + \left\(y - 4\right\)^\(2 = 25\)

Correct Answer: A

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Question 9 View Details
A rectangular box has dimensions [ 5 \text{ cm} \times 10 \text{ cm} \times 15 \text{ cm} \]. Find its surface area.
A. 250 \text{ cm}^2
B. 300 \text{ cm}^2
Correct C. 350 \text{ cm}^2
D. 400 \text{ cm}^2

Correct Answer: C

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Question 10 View Details
A set of exam scores has a mean of [ 75 \] and a standard deviation of [ 5 \]. Find the z-score of a score of [ 80 \].
Correct A. 0.4
B. 0.6
C. 0.8
D. 1.0

Correct Answer: A

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Question 11 View Details
In the complex plane, let \(z_1 = 2 + 3i\) and \(z_2 = 4 - 5i\). Find the product \(z_1 \cdot z_2\) in the form \(a + bi\).
Correct A. -23 + 7i
B. 23 + 7i
C. -7 + 23i
D. 7 - 23i

Correct Answer: A

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Question 12 View Details
A fair six-sided die is rolled. What is the probability that the number obtained is a multiple of 3?
A. \(\frac{1}{6}\)\)
B. \(\frac{1}{3}\)\)
Correct C. \(\frac{2}{3}\)\)
D. \(\frac{5}{6}\)\)

Correct Answer: C

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Question 13 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 14 View Details
Let \(A = \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}\). Find the determinant of ( A ).
Correct A. -1
B. 1
C. 2
D. 3

Correct Answer: A

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Question 15 View Details
Solve the trigonometric equation \(2 \sin^2 x + 3 $1x - 1 = 0\).
A. \(x =\)\(\frac{\pi}{6}\)\) + 2kpi
Correct B. \(x =\)\(\frac{\pi}{3}\)\) + 2kpi
C. \(x =\)\(\frac{\pi}{4}\)\) + 2kpi
D. \(x =\)\(\frac{\pi}{2}\)\) + 2kpi

Correct Answer: B

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Question 16 View Details
Find the derivative of the function ( f(x) = \(\frac{1}{2x^2 + 5x + 3}\)\)\) ) using the quotient rule.
Correct A. \(\frac{-2x + 5}{2x^2 + 5x + 3\) \ ^2}\)\) )
B. \(\frac{2x + 5}{2x^2 + 5x + 3\) \ ^2}\)\) )
C. \(\frac{2x^2 + 5x + 3}{\) \(2x^2 + 5x + 3\) \ ^2}\)\) )
D. \(\frac{2x^2 + 5x + 3}{\) \(2x^2 + 5x + 3\) \ ^2}\)\) )

Correct Answer: A

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Question 17 View Details
Solve the system of equations using matrices: \(egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 7 \ 10 \end{bmatrix}\).
A. \(egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 1 \ 2 \end{bmatrix}\)
Correct B. \(egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 2 \ 1 \end{bmatrix}\)
C. \(egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix}\)
D. \(egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 4 \ 3 \end{bmatrix}\)

Correct Answer: B

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Question 18 View Details
A box contains 5 red balls and 3 blue balls. If two balls are drawn at random, what is the probability that they are of different colors?
A. \(\frac{1}{4}\)
B. \(\frac{1}{2}\)
Correct C. \(\frac{3}{4}\)
D. \(\frac{2}{3}\)

Correct Answer: C

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Question 19 View Details
Find the area under the curve \(y = x^2\) from \(x = 0\) to \(x = 4\) using integration.
Correct A. \(\frac{64}{3}\)
B. \(\frac{32}{3}\)
C. \(\frac{16}{3}\)
D. \(\frac{8}{3}\)

Correct Answer: A

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Question 20 View Details
Solve the trigonometric equation \(\sin^2 x + \cos^2 x = 1\) for ( x ) in the interval ( [0, 2pi] ).
A. \(x = \frac{\pi}{4}, \frac{3\pi}{4}\)
B. \(x = \frac{\pi}{4}, \frac{5\pi}{4}\)
Correct C. \(x = \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}\)
D. \(x = \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}\)

Correct Answer: C

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Question 21 View Details
Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 1 \ 4 & 5 & 2 \ 1 & 2 & 3 \end{array} ].
Correct A. -1
B. 1
C. 2
D. 3

Correct Answer: A

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Question 22 View Details
Solve the equation [ \\((2x^2 + 5x - 3\)\(= 0\)\) ] using the quadratic formula.
Correct A. \(x =\)\(\frac{-5 \pm \sqrt{5^2 - 4\) \cdot 2 \cdot -3 }\)}{2 \cdot 2}\)
B. \(x =\)\(\frac{-5 \pm \sqrt{5^2 - 4\) \cdot 2 \cdot 3}\)}{2 \cdot 2}\)
C. \(x =\)\(\frac{-5 \pm \sqrt{5^2 - 4\) \cdot 2 \cdot -3 }\)}{2 \cdot 2}\)
D. \(x =\)\(\frac{-5 \pm \sqrt{5^2 - 4\) \cdot 2 \cdot 3}\)}{2 \cdot 2}\)

Correct Answer: A

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Question 23 View Details
Find the mean and standard deviation of the data set [ 2, 4, 6, 8, 10 ].
Correct A. \bar{x}\(= 6\), \\(\sigma = 2\)
B. \bar{x}\(= 6\), \\(\sigma = 3\)
C. \bar{x}\(= 6\), \\(\sigma = 4\)
D. \bar{x}\(= 6\), \\(\sigma = 5\)

Correct Answer: A

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Question 24 View Details
Find the derivative of the function [\(f(x) =\)\(\frac{1}{x^2}\)\)\) \].
Correct A. f'\((x) = -\)\(\frac{2}{x^3}\)\)\)
B. f'\((x) =\)\(\frac{2}{x^3}\)\)\)
C. f'\((x) = -\)\(\frac{1}{x^3}\)\)\)
D. f'\((x) =\)\(\frac{1}{x^3}\)\)\)

Correct Answer: A

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Question 25 View Details
Solve the inequality [ \\((2x^2 + 3x - 1\)\(> 0\)\) \].
Correct A. \(x < -\)\(\frac{1}{2}\)\) \text{ or }\(x >\)\(\frac{1}{2}\)\)
B. \(x < -\)\(\frac{1}{2}\)\) \text{ or }\(x <\)\(\frac{1}{2}\)\)
C. \(x > -\)\(\frac{1}{2}\)\) \text{ or }\(x <\)\(\frac{1}{2}\)\)
D. \(x > -\)\(\frac{1}{2}\)\) \text{ or }\(x >\)\(\frac{1}{2}\)\)

Correct Answer: A

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