POST UTME COVENANT UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the quadratic equation [ x^2 + 5x + 6 = 0 \].
A. \begin{pmatrix} -2 \ -3 \end{pmatrix}
B. \begin{pmatrix} -3 \ -2 \end{pmatrix}
C. \begin{pmatrix} 2 \ 3 \end{pmatrix}
D. \begin{pmatrix} 3 \ 2 \end{pmatrix}
Question 2
A survey of 100 students found that 40 students preferred Mathematics, 30 preferred Science, and 30 preferred both. What is the probability that a randomly selected student prefers Mathematics or Science?
A. 0.7
B. 0.6
C. 0.5
D. 0.4
Question 3
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = 2 \)
C. \( x = -1 \)
D. \( x = 1 \)
Question 4
Find the volume of the solid formed by revolving the region bounded by the curves $y = \sqrt{x}$ and $y = x^2$ about the x-axis.
A. \frac{\pi}{3}
B. \frac{\pi}{2}
C. \frac{\pi}{4}
D. \frac{\pi}{6}
Question 5
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{1 - x^2}} ) u\sing the chain rule.
A. ( f'(x) = \frac{x}{\( 1 - x^2 \)^{3/2}} )
B. ( f'(x) = \frac{-x}{\( 1 - x^2 \)^{3/2}} )
C. ( f'(x) = \frac{1}{\( 1 - x^2 \)^{3/2}} )
D. ( f'(x) = \frac{-1}{\( 1 - x^2 \)^{3/2}} )
Question 6
In a set of 10 integers, the sum of the first 5 integers is 20 and the sum of the next 3 integers is 15. Find the sum of the remaining 2 integers.
A. 5
B. 10
C. 15
D. 20
Question 7
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \).
A. \( \frac{8}{3} \)
B. \( \frac{16}{3} \)
C. \( \frac{32}{3} \)
D. \( \frac{64}{3} \)
Question 8
A fair six-sided die is rolled. What is the probability that the number rolled is a multiple of 3?
A. \( \frac{1}{6} \)
B. \( \frac{1}{3} \)
C. \( \frac{2}{3} \)
D. \( \frac{5}{6} \)
Question 9
A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is red?
A. 1/2
B. 2/3
C. 3/4
D. 4/5
Question 10
A circle has a diameter of 10 cm. Find the area of the circle.
A. 25\pi
B. 50\pi
C. 75\pi
D. 100\pi
Question 11
A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected student scored above 70?
A. 0.1
B. 0.2
C. 0.3
D. 0.4
Question 12
A random experiment consists of rolling a fair six-sided die and then flipping a fair coin. If the number on the die is even and the coin lands heads up, the experimenter wins. Otherwise, the experimenter loses. What is the probability of winning?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Question 13
Find the sum of the first 5 terms of the geometric series [ 2 + 6 + 18 + ... ].
A. 62
B. 63
C. 64
D. 65
Question 14
A set of 10 numbers has a mean of 20 and a s\tandard deviation of 5. Find the probability that a randomly selected number from the set is greater than 25.
A. 0.05
B. 0.10
C. 0.15
D. 0.20
Question 15
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \( x + 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16

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