POST UTME NOUN 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the sum of the first \( n \) terms of the geometric progression \( 2, 6, 18, \ldots \).
A. \( S_n = \frac{2\( 6^n - 1 \)}{5} \)
B. \( S_n = \frac{2\( 6^n - 1 \)}{4} \)
C. \( S_n = \frac{2\( 6^n - 1 \)}{5} \)
D. \( S_n = \frac{2\( 6^n - 1 \)}{6} \)
Question 2
Find the derivative of the function ( f(x) = 3x^2 - 2x + 1 ).
A. 6x - 2
B. 6x + 2
C. 3x^2 - 2
D. 3x^2 + 2
Question 3
Solve the trigonometric equation \( 2 \sin^2 x + 3 \cos x - 1 = 0 \).
A. \( x = \frac{\pi}{6} \) or \( x = \frac{5\pi}{6} \)
B. \( x = \frac{\pi}{4} \) or \( x = \frac{3\pi}{4} \)
C. \( x = \frac{\pi}{3} \) or \( x = \frac{2\pi}{3} \)
D. \( x = \frac{\pi}{2} \) or \( x = \frac{3\pi}{2} \)
Question 4
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 5
A set of exam scores has a mean of 80 and a s\tandard deviation of 10. What is the z-score of a score of 90?
A. 0.5
B. 1
C. 1.5
D. 2
Question 6
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 60
C. 80
D. 100
Question 7
Find the determinant of the matrix \( \begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 8
Solve the inequality \( 2x^2 + 5x - 3 \geq 0 \).
A. \( x \leq -3 \) or \( x \geq \frac{3}{2} \)
B. \( x \leq -3 \) or \( x \geq 1 \)
C. \( x \leq 1 \) or \( x \geq -3 \)
D. \( x \leq -1 \) or \( x \geq 3 \)
Question 9
Solve the inequality \( \frac{x^2 - 4}{x^2 - 9} > 0 \).
A. \( x in \( -infty, -3 \ \) cup (3, infty) )
B. \( x in \( -infty, -3 \ \) cup (3, infty) cup {0} )
C. \( x in \( -infty, -3 \ \) cup (3, infty) cup {4} )
D. \( x in \( -infty, -3 \ \) cup (3, infty) cup {0, 4} )
Question 10
Solve the system of linear equations \( egin{cases} x + y = 2 \ 2x - y = 3 \end{cases} \).
A. \( x = 1, y = 1 \)
B. \( x = 1, y = 3 \)
C. \( x = 3, y = 1 \)
D. \( x = 3, y = 3 \)
Question 11
Find the mean of the data set: \{ 2, 4, 6, 8, 10 \}.
A. 5
B. 6
C. 7
D. 8
Question 12
If ( f(x) = \frac{x^2 - 4}{x + 2} ), find \( f\( -3 \ \) ).
A. 0
B. 1
C. -1
D. 2
Question 13
If \( x^2 + 4x + 4 = 0 \), find the value of ( x ).
A. -2
B. -1
C. 1
D. 2
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
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. ( f'(x) = \frac{-2x}{\( x^2 + 1 \)^2} )
B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} )
C. ( f'(x) = \frac{-2}{\( x^2 + 1 \)^2} )
D. ( f'(x) = \frac{2}{\( x^2 + 1 \)^2} )

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: