POST UTME EKSU 2025 Mathematics | Objective

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Question 1 View Details
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
Correct B. 14
C. 16
D. 18

Correct Answer: B

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Question 2 View Details
Find the area under the curve \(y = x\^2 + 2x - 3\) from \(x = 0\) to \(x = 3\).
A. 27
B. 30
Correct C. 33
D. 36

Correct Answer: C

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Question 3 View Details
Solve the inequality \\((2x^2 + 5x - 3\)\(> 0.\)\)
Correct A. \(-∞, -1\) ∪ (3, ∞)
B. \(-∞, 0\) ∪ (3, ∞)
C. \(-∞, -1\) ∪ (0, 3)
D. \(-∞, 0\) ∪ (1, ∞)

Correct Answer: A

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Question 4 View Details
Find the derivative of the function f(x) = \(x^3 - 2x^2 + 5x - 1\).
Correct A. \(3x^2 - 4x + 5\)
B. \(3x^2 - 4x + 1\)
C. \(3x^2 - 4x - 1\)
D. \(3x^2 + 4x + 1\)

Correct Answer: A

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Question 5 View Details
Solve the system of equations \(x + y = 4\) and \(x - y = 2\).
Correct A. \(x = 3\), \(y = 1\)
B. \(x = 1\), \(y = 3\)
C. \(x = 2\), \(y = 2\)
D. \(x = 4\), \(y = 0\)

Correct Answer: A

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Question 6 View Details
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?
Correct A. 1.1
B. 1.2
C. 1.3
D. 1.4

Correct Answer: A

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Question 7 View Details
In the diagram below, what is the equation of the circle with center at \(-2, 3\) and passing through the point (1, 4)?
Correct 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 + \(y-3\)^\(2 = 20\) \)

Correct Answer: A

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Question 8 View Details
A histogram of exam scores is shown below. What is the mean score?
A. 60
B. 70
Correct C. 80
D. 90

Correct Answer: C

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Question 9 View Details
In the diagram below, what is the vector sum of the two vectors A and B?
Correct A. \(\vec{C} = \langle 3, 4 \rangle\)
B. \(\vec{C} = \langle 4, 3 \rangle\)
C. \(\vec{C} = \langle 5, 5 \rangle\)
D. \(\vec{C} = \langle 6, 6 \rangle\)

Correct Answer: A

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Question 10 View Details
Simplify the expression \(\frac{2^3 + 3^3}{2^3 - 3^3}\)
A. \(\frac{5}{-1}\)
Correct B. \(\frac{5}{1}\)
C. \(\frac{-5}{1}\)
D. \(\frac{1}{-5}\)

Correct Answer: B

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Question 11 View Details
Find the area under the curve \(y = x^2 + 2x - 3\) from \(x = 0\) to \(x = 2\).
A. 10
B. 12
Correct C. 14
D. 16

Correct Answer: C

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Question 12 View Details
Solve the inequality \(2x^2 + 5x - 3 > 0\).
Correct A. \(-∞, -1\) ∪ (3, ∞)
B. \(-∞, -3\) ∪ (1, ∞)
C. \(-∞, 1\) ∪ (3, ∞)
D. \(-∞, -3\) ∪ (1, ∞)

Correct Answer: A

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Question 13 View Details
Find the derivative of the function ( f(x) = \(x^3 - 2x^2 + x - 1\) ) using the chain rule.
Correct A. \(3x^2 - 4x + 1\)
B. \(3x^2 - 4x + 2\)
C. \(3x^2 - 4x - 1\)
D. \(3x^2 - 4x - 2\)

Correct Answer: A

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Question 14 View Details
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
Correct C. 25
D. 30

Correct Answer: C

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Question 15 View Details
A set of numbers is defined as \(S = \{x : x^2 - 4x + 3 = 0 \}\). Find the elements of the set.
Correct A. \{1, 3\}
B. \{2, 3\}
C. \{1, 2\}
D. \{3, 4\}

Correct Answer: A

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