POST UTME EKSU 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the derivative of the function ( f(x) = x^3 - 2x^2 + x - 1 ) u\sing the chain rule.
A. 3x^2 - 4x + 1
B. 3x^2 - 4x + 2
C. 3x^2 - 4x - 1
D. 3x^2 - 4x - 2
Question 2
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 3.
A. 27
B. 30
C. 33
D. 36
Question 3
Simplify the expression \( \frac{2^3 + 3^3}{2^3 - 3^3} \)
A. \( \frac{5}{-1} \)
B. \( \frac{5}{1} \)
C. \( \frac{-5}{1} \)
D. \( \frac{1}{-5} \)
Question 4
Solve the system of equations x + y = 4 and x - y = 2.
A. x = 3, y = 1
B. x = 1, y = 3
C. x = 2, y = 2
D. x = 4, y = 0
Question 5
Find the derivative of the function f(x) = x^3 - 2x^2 + 5x - 1.
A. 3x^2 - 4x + 5
B. 3x^2 - 4x + 1
C. 3x^2 - 4x - 1
D. 3x^2 + 4x + 1
Question 6
A random variable X has a probability distribution given by P\( X = 1 \) = 0.3, P\( X = 2 \) = 0.4, P\( X = 3 \) = 0.3. What is the expected value of X?
A. 1.1
B. 1.2
C. 1.3
D. 1.4
Question 7
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 8
Solve the inequality 2x^2 + 5x - 3 > 0.
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 0 \) ∪ (3, ∞)
C. \( -∞, -1 \) ∪ (0, 3)
D. \( -∞, 0 \) ∪ (1, ∞)
Question 9
A histogram of exam scores is shown below. What is the mean score?
A. 60
B. 70
C. 80
D. 90
Question 10
In the diagram below, what is the vector sum of the two vectors A and B?
A. \( \vec{C} = \langle 3, 4 \rangle \)
B. \( \vec{C} = \langle 4, 3 \rangle \)
C. \( \vec{C} = \langle 5, 5 \rangle \)
D. \( \vec{C} = \langle 6, 6 \rangle \)
Question 11
In the diagram below, what is the equation of the circle with center at \( -2, 3 \) and pas\sing through the point (1, 4)?
A. \( x+2 \)^2 + \( y-3 \)^2 = 5 \)
B. \( x+2 \)^2 + \( y-3 \)^2 = 10 \)
C. \( x+2 \)^2 + \( y-3 \)^2 = 15 \)
D. \( x+2 \)^2 + \( y-3 \)^2 = 20 \)
Question 12
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \).
A. 10
B. 12
C. 14
D. 16
Question 13
A sequence is defined by the formula \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
C. 25
D. 30
Question 14
A set of numbers is defined as \( S = \{ x : x^2 - 4x + 3 = 0 \} \). Find the elements of the set.
A. \{1, 3\}
B. \{2, 3\}
C. \{1, 2\}
D. \{3, 4\}
Question 15
Determine the mean of the following data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 12
B. 14
C. 16
D. 18

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