POST UTME NOUN 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of x in the equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = 2
C. x = -1
D. x = 1
Question 2
The mean of a set of numbers is 25. If the largest number is 50, find the sum of the remaining numbers.
A. 200
B. 250
C. 300
D. 350
Question 3
A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. Calculate the coefficient of variation (CV) of the sample.
A. 12.5%
B. 15%
C. 17.5%
D. 20%
Question 4
Solve for y in the equation \( y = \frac{1}{2}x^2 + 3x - 4 \).
A. y = \frac{1}{2}x^2 + 3x - 4
B. y = \frac{1}{2}x^2 + 3x + 4
C. y = \frac{1}{2}x^2 - 3x + 4
D. y = \frac{1}{2}x^2 - 3x - 4
Question 5
Solve the equation \( 2^x + 2^{-x} = 3 \) for ( x ).
A. \( x = \log_2 2 \)
B. \( x = \log_2 3 \)
C. \( x = \log_2 4 \)
D. \( x = \log_2 5 \)
Question 6
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{x^2 + 1}} ) u\sing the chain rule.
A. ( f'(x) = \frac{-x}{\( x^2 + 1 \)^{3/2}} )
B. ( f'(x) = \frac{x}{\( x^2 + 1 \)^{3/2}} )
C. ( f'(x) = \frac{1}{\( x^2 + 1 \)^{3/2}} )
D. ( f'(x) = \frac{-1}{\( x^2 + 1 \)^{3/2}} )
Question 7
Solve the trigonometric equation \( 2 \sin^2 x + 3 \cos x - 1 = 0 \).
A. x = π/6, x = π/2
B. x = π/6, x = 5π/6
C. x = π/2, x = 3π/2
D. x = π/6, x = π/2, x = 5π/6
Question 8
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 9
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the quadratic formula.
A. \( x < -\frac{5}{4} \) or \( x > \frac{3}{2} \)
B. \( x < -\frac{3}{2} \) or \( x > \frac{5}{4} \)
C. \( x < \frac{3}{2} \) or \( x > -\frac{5}{4} \)
D. \( x < -\frac{5}{4} \) or \( x < \frac{3}{2} \)
Question 10
Find the area of the triangle with vertices ( (0, 0), (3, 0), (0, 4) ).
A. 6
B. 8
C. 10
D. 12
Question 11
A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:4, how many loaves of whole wheat bread are sold per day?
A. 120
B. 150
C. 180
D. 200
Question 12
A fair six-sided die is rolled. What is the probability that the number rolled is even and greater than 3?
A. \( \frac{1}{3} \)
B. \( \frac{1}{6} \)
C. \( \frac{1}{2} \)
D. \( \frac{2}{3} \)
Question 13
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -1 \) ∪ (1, 3)
D. \( -∞, 1 \) ∪ (3, ∞)
Question 14
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 3 \)^2 + \( y - 2 \)^2 = 16
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 9
D. \( x - 3 \)^2 + \( y - 2 \)^2 = 9
Question 15
Solve for y in the equation \( y = \frac{1}{2}x^2 + 2x - 3 \).
A. y = \frac{1}{2}x^2 + 2x - 3
B. y = \frac{1}{2}x^2 + 2x + 3
C. y = \frac{1}{2}x^2 - 2x + 3
D. y = \frac{1}{2}x^2 - 2x - 3

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: