POST UTME ESUT 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( x^2 - 4x - 5 > 0 \).
A. \( x < -1 \) or \( x > 5 \)
B. \( x < 1 \) or \( x > 5 \)
C. \( x < -1 \) or \( x < 5 \)
D. \( x > -1 \) or \( x < 5 \)
Question 2
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = -1 \)
C. \( x = 0 \)
D. \( x = 2 \)
Question 3
Find the equation of the circle pas\sing through the points (2, 3), (4, 5), and \( -1, 1 \).
A. \boxed{\( x - 1 \)^2 + \( y - 2 \)^2 = 10}
B. \boxed{\( x + 1 \)^2 + \( y - 3 \)^2 = 10}
C. \boxed{\( x - 2 \)^2 + \( y + 1 \)^2 = 10}
D. \boxed{\( x + 2 \)^2 + \( y - 1 \)^2 = 10}
Question 4
A probability experiment has two indep\endent events, A and B. If P(A) = 0.4 and P(B) = 0.6, what is the probability that both events occur?
A. 0.2
B. 0.4
C. 0.6
D. 0.8
Question 5
A circle has a radius of 4 cm. What is the area of the circle?
A. 50.24
B. 100.48
C. 200.96
D. 50.24
Question 6
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 62
B. 64
C. 66
D. 68
Question 7
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. \( \frac{-2x}{\( x^2 + 1 \ \)^2} )
B. \( \frac{-2}{\( x^2 + 1 \ \)^2} )
C. \( \frac{2x}{\( x^2 + 1 \ \)^2} )
D. \( \frac{2}{\( x^2 + 1 \ \)^2} )
Question 8
Solve the inequality \frac{x - 2}{x + 1} > 0
A. x < -1 \text{ or } x > 2
B. x < -1 \text{ or } x < 2
C. x > -1 \text{ or } x > 2
D. x > -1 \text{ or } x < 2
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
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{64}{3} \)
B. \( \frac{32}{3} \)
C. \( \frac{16}{3} \)
D. \( \frac{8}{3} \)
Question 11
Solve for ( x ) in the equation \( 2^x = 16 \).
A. \( x = 2 \)
B. \( x = 4 \)
C. \( x = 8 \)
D. \( x = 16 \)
Question 12
Solve for x in the equation \( \log_2 \( x^2 \) = 4 \)
A. 16
B. 8
C. 4
D. 2
Question 13
Solve the inequality \( \frac{x}{2} - 3 > 7 \) for ( x ).
A. x > 20
B. x < -20
C. x > 16
D. x < 16
Question 14
A fair six-sided die is rolled. What is the probability that the number obtained is a multiple of 3?
A. \( \frac{1}{6} \)
B. \( \frac{1}{3} \)
C. \( \frac{2}{3} \)
D. \( \frac{5}{6} \)
Question 15
A sequence is defined by the formula \( a_n = 2n^2 - 5n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 120
B. 130
C. 140
D. 150

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