POST UTME COVENANT UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
Find the sum of the first 5 terms of the geometric series [ 2 + 6 + 18 + ... ].
A. 62
B. 63
C. 64
D. 65
Question 3
Find the area under the curve $y = x^2$ from $x = 0$ to $x = 1$ u\sing integration.
A. \frac{1}{3}
B. \frac{1}{2}
C. \frac{2}{3}
D. 1
Question 4
Determine the value of $x$ in the equation $2^x + 5^x = 7^x$.
A. 1
B. 2
C. 3
D. 4
Question 5
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 6
In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the acute angles is 30°. Find the length of the side opposite the 30° angle.
A. 5 cm
B. 7.07 cm
C. 8 cm
D. 9 cm
Question 7
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 16
B. 32
C. 64
D. 128
Question 8
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 9
Solve the polynomial equation [ x^3 - 6x^2 + 11x - 6 = 0 ].
A. 1
B. 2
C. 3
D. 4
Question 10
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 11
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 12
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. \frac{1}{6}
B. \frac{2}{6}
C. \frac{3}{6}
D. \frac{4}{6}
Question 13
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 14
A cylindrical \tank has a height of 10m and a radius of 4m. If the \tank is filled with water to a height of 8m, what is the volume of water in the \tank?
A. 2000π
B. 2500π
C. 3000π
D. 3500π
Question 15
A polynomial function f(x) = ax^3 + bx^2 + cx + d has roots at x = -2, x = 1, and x = 3. If f\( -1 \) = 10, find the value of f(2).
A. 10
B. 20
C. 30
D. 40

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