POST UTME COVENANT UNIVERSITY 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the system of equations x^2 + y^2 = 4 and x + y = 2.
A. (1, 1)
B. (2, 0)
C. (0, 2)
D. (1, 0)
Question 2
A set of 10 consecutive integers has a mean of 12. Find the sum of the integers.
A. 120
B. 130
C. 140
D. 150
Question 3
Determine the value of x in the equation: \( x^2 + 4x + 4 = 0 \)
A. -2
B. -1
C. 1
D. 2
Question 4
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 = 9
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 36
Question 5
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random, what is the probability that it is not blue?
A. \frac{1}{2}
B. \frac{2}{3}
C. \frac{3}{4}
D. \frac{4}{5}
Question 6
Solve the inequality 2x^2 + 5x - 3 > 0.
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, -3 \) ∪ (1, ∞)
D. \( -∞, -1 \) ∪ (3, ∞)
Question 7
Solve for x in the equation: \( 2^x + 3^x = 5^x \)
A. 1
B. 2
C. 3
D. 4
Question 8
Solve the equation \sin^2 x + \cos^2 x = 1 for x in the interval [0, 2\pi].
A. x = \frac{\pi}{4}
B. x = \frac{3\pi}{4}
C. x = \frac{5\pi}{4}
D. x = \frac{7\pi}{4}
Question 9
A random variable X has probability distribution P\( X = 1 \) = 1/4, P\( X = 2 \) = 1/2, P\( X = 3 \) = 1/4. Find the expected value of X.
A. 1
B. 2
C. 3
D. 4
Question 10
Determine the volume of the frustum of a cone with a height of 15 cm, a lower base radius of 4 cm, and an upper base radius of 6 cm.
A. 300\pi\text{ cm}^3
B. 400\pi\text{ cm}^3
C. 500\pi\text{ cm}^3
D. 600\pi\text{ cm}^3
Question 11
Find the derivative of the function ( f(x) = x^2 \sin x ) u\sing the product rule.
A. f'(x) = 2x \sin x + x^2 \cos x
B. f'(x) = x^2 \cos x - 2x \sin x
C. f'(x) = 2x \cos x + x^2 \sin x
D. f'(x) = x^2 \sin x - 2x \cos x
Question 12
If f(x) = \frac{1}{x^2 + 1}, find f'(x) u\sing the chain rule.
A. \frac{-2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. \frac{x}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 13
A circle has equation \( x - 2 \)^2 + \( y - 3 \)^2 = 4. Find the equation of the \tangent line at point (3, 1).
A. y = -1/2x + 7/2
B. y = 1/2x - 5/2
C. y = -1/2x + 5/2
D. y = 1/2x + 7/2
Question 14
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is the volume of the prism?
A. 30 cm^3
B. 40 cm^3
C. 50 cm^3
D. 60 cm^3
Question 15
Find the value of \( \sin\( 2x \ \) ) given that \( \cos\( x \ \) = \frac{3}{5} ) and \( \sin\( x \ \) = \frac{4}{5} ).
A. 1
B. 2
C. 3
D. 4

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: