POST UTME IMS U 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of x in the equation \( \frac{x^2 - 4x + 4}{x^2 - 4x + 3} = 1 \).
A. 1
B. 2
C. 3
D. 4
Question 2
Find the area of the region bounded by the curves y = x^2 and y = 2x.
A. \frac{4}{3}
B. \frac{8}{3}
C. \frac{16}{3}
D. \frac{32}{3}
Question 3
Solve the inequality \( \frac{x^2 - 4}{x + 2} > 0 \) for \( x in \( -infty, -2 \ \) cup \( -2, infty \) ).
A. \( -2, -1 \) ∪ (1, ∞)
B. \( -∞, -2 \) ∪ \( -1, 1 \)
C. \( -∞, -2 \) ∪ (1, ∞)
D. \( -2, -1 \) ∪ \( -1, 1 \)
Question 4
Find the magnitude of the vector $\vec{a} = 3\hat{i} + 4\hat{j} + 5\hat{k}$.
A. 5
B. 10
C. 15
D. 20
Question 5
Find the value of x in the equation \( 2x^2 + 5x - 3 = 0 \).
A. 1
B. -1
C. 2
D. -2
Question 6
Solve the equation $\sin^2(x) + \cos^2(x) = 1$ for $x$ in the interval $[0, 2\pi]$.
A. $x = 0, \pi/2, \pi, 3\pi/2$
B. $x = 0, \pi/4, \pi/2, 3\pi/4$
C. $x = \pi/4, \pi/2, 3\pi/4, \pi$
D. $x = 0, \pi/2, \pi, 3\pi/2, 2\pi$
Question 7
A line passes through the points (2,3) and (4,5). Find the equation of the line.
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = -2x - 1
Question 8
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \).
A. 4
B. 2
C. 1
D. 3
Question 9
Solve for y in the equation \( y = \frac{1}{2} left\( x + \frac{1}{x} \right \ \) ).
A. x
B. x^2
C. x^3
D. x^4
Question 10
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, -3 \) \cup \( 1, \infty \)
C. \( -\infty, -1 \) \cup \( 1, \infty \)
D. \( -\infty, 1 \) \cup \( 3, \infty \)
Question 11
A circle with center (0, 0) and radius 4 passes through the point (3, 4). Find the equation of the circle.
A. \( x - 0 \)^2 + \( y - 0 \)^2 = 16
B. \( x - 0 \)^2 + \( y - 0 \)^2 = 4
C. \( x - 0 \)^2 + \( y - 0 \)^2 = 9
D. \( x - 0 \)^2 + \( y - 0 \)^2 = 25
Question 12
Solve the differential equation \frac{dy}{dx} = \frac{2x}{y} + 1.
A. y^2 = 2x^2 + 2x + C
B. y^2 = 2x^2 - 2x + C
C. y^2 = -2x^2 + 2x + C
D. y^2 = -2x^2 - 2x + C
Question 13
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \).
A. x = \frac{\pi}{2}
B. x = \frac{\pi}{4}
C. x = \frac{3\pi}{4}
D. x = \frac{5\pi}{4}
Question 14
A random variable X has a probability distribution given by ( P(X) = egin{cases} 0.2 & \text{if } X = 1 \ 0.3 & \text{if } X = 2 \ 0.5 & \text{if } X = 3 \end{cases} ). Find the expected value of X.
A. 1.4
B. 1.7
C. 2.0
D. 2.3
Question 15
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. 1/6
B. 1/3
C. 2/3
D. 5/6

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: