POST UTME EKSU 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 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
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 5
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 6
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 7
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 8
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 9
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 10
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 11
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
Question 12
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 13
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 14
Solve the inequality 2x^2 + 5x - 3 > 0.
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 0 \) ∪ (3, ∞)
C. \( -∞, -1 \) ∪ (0, 3)
D. \( -∞, 0 \) ∪ (1, ∞)
Question 15
A histogram of exam scores is shown below. What is the mean score?
A. 60
B. 70
C. 80
D. 90

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