POST UTME EKSU 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In a set of 20 integers, the median is 15 and the mode is 10. What is the sum of the first and last terms?
A. 30
B. 40
C. 50
D. 60
Question 2
Find the derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.
A. \frac{2x\( x^2 - 4 \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
B. \frac{2x\( x^2 - 4 \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
C. \frac{2x\( x^2 - 4 \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
D. \frac{2x\( x^2 - 4 \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
Question 3
Find the value of \( \log_{10} \( 1000 \ \) ).
A. 3
B. 4
C. 5
D. 6
Question 4
Solve for x in the equation: \( 2x^2 + 5x - 3 = 0 \).
A. -1
B. 1
C. 2
D. 3
Question 5
A histogram is shown below. What is the class width?
A. 5
B. 10
C. 15
D. 20
Question 6
A sequence is defined by the formula: \( a_n = 2n + 1 \). Find the 5th term of the sequence.
A. 11
B. 13
C. 15
D. 17
Question 7
In a random experiment, two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find the probability that both events occur.
A. 0.24
B. 0.24
C. 0.48
D. 0.96
Question 8
A histogram is shown below. What is the mode of the data set?
A. A
B. B
C. C
D. D
Question 9
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. y = 2x + 1
B. y = x + 2
C. y = 2x - 1
D. y = x - 2
Question 10
Solve the equation \( 2x^2 + 3x - 1 = 0 \) u\sing the quadratic formula.
A. x = \frac{-3 + \sqrt{17}}{4}
B. x = \frac{-3 - \sqrt{17}}{4}
C. x = \frac{-3 + \sqrt{17}}{2}
D. x = \frac{-3 - \sqrt{17}}{2}
Question 11
Solve for x in the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. -2
B. -1
C. 1
D. 2
Question 12
Find the equation of the \tangent to the curve y = x^2 + 2x - 3 at the point (1, 2).
A. y = 2x - 1
B. y = 2x + 1
C. y = x - 1
D. y = x + 1
Question 13
Find the equation of the circle pas\sing through the points (1, 2), (2, 3), and (3, 4).
A. x^2 + y^2 - 4x - 6y + 5 = 0
B. x^2 + y^2 - 6x - 4y + 5 = 0
C. x^2 + y^2 - 8x - 2y + 5 = 0
D. x^2 + y^2 - 2x - 8y + 5 = 0
Question 14
A sequence is defined by the recurrence relation: an = 2an-1 + 3, with a1 = 2. Find the sum of the first 5 terms.
A. 65
B. 70
C. 75
D. 80
Question 15
Find the volume of the cylinder with radius 4 and height 6.
A. 48\pi
B. 64\pi
C. 96\pi
D. 192\pi

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