POST UTME ESUT 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the sum of the first 10 terms of the geometric series \( 2x^2 - 3x + 1 \) with common ratio \( r = 2 \).
A. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + cdots + 2x^2 - 3x + 1 \)
B. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + cdots + 2x^2 - 3x + 1 \)
C. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + cdots + 2x^2 - 3x + 1 \)
D. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + cdots + 2x^2 - 3x + 1 \)
Question 2
A circle has a radius of 4 cm. Find the area of the circle.
A. 16π
B. 32π
C. 64π
D. 128π
Question 3
Find the mean deviation about the median of the data: 2, 4, 6, 8, 10.
A. 2
B. 4
C. 6
D. 8
Question 4
A company has a histogram of employee salaries as shown below. What is the median salary?
A. ₦50,000
B. ₦60,000
C. ₦70,000
D. ₦80,000
Question 5
A circuit consists of a battery, a resistor, and a capacitor in series. If the capacitor is charged to 5V and the resistor is 10Ω, what is the current flowing through the circuit?
A. 0.5A
B. 1A
C. 2A
D. 5A
Question 6
Solve the system of equations: \( x + y = 3 \) and \( 2x - 3y = - 5 \).
A. (1, 2)
B. (2, 1)
C. (3, 0)
D. (0, 3)
Question 7
A set of numbers is defined as \( \{ x | x > 2 \} \ \). Find the complement of the set.
A. \{ x | x ≤ 2 \}
B. \{ x | x ≥ 2 \}
C. \{ x | x < 2 \}
D. \{ x | x > 2 \}
Question 8
Solve the inequality \( 2x^2 - 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 9
Find the volume of the cylinder with radius 4 cm and height 10 cm.
A. ( 160pi ) cm^3
B. ( 80pi ) cm^3
C. ( 320pi ) cm^3
D. ( 240pi ) cm^3
Question 10
A rec\tangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. What is the surface area of the prism in square centimeters?
A. 200
B. 250
C. 300
D. 350
Question 11
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \).
A. 10
B. 15
C. 20
D. 25
Question 12
A fair six-sided die is rolled. What is the probability that the number rolled is either 1, 2, or 3?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 13
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. \frac{1}{2}
B. \frac{2}{3}
C. \frac{3}{4}
D. \frac{5}{6}
Question 14
A set of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the z-score of a score of 90?
A. 1.5
B. 2.0
C. 2.5
D. 3.0
Question 15
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{x}} ) u\sing the chain rule.
A. f'(x) = -\frac{1}{2x^{3/2}}
B. f'(x) = \frac{1}{2x^{3/2}}
C. f'(x) = -\frac{1}{x^{3/2}}
D. f'(x) = \frac{1}{x^{3/2}}

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