POST UTME DELSU 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In the diagram below, ( AB ) is a diameter of the circle with center ( O ). If \( angle AOB = 60^\circ \), find the measure of ( angle AOC ).
A. 30^\circ
B. 60^\circ
C. 90^\circ
D. 120^\circ
Question 2
Let ( f(x) = \frac{x^2 - 4}{x - 2} ). Find the derivative of ( f(x) ) u\sing the chain rule.
A. \( f'(x) = \frac{2x^2 - 4}{\( x-2 \)^2} \)
B. \( f'(x) = \frac{2x^2 - 4x}{\( x-2 \)^2} \)
C. \( f'(x) = \frac{2x^2 - 4x + 4}{\( x-2 \)^2} \)
D. \( f'(x) = \frac{2x^2 - 4}{\( x-2 \)^2} \)
Question 3
A particle moves along the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \). Find the dis\tance traveled by the particle.
A. \( \frac{8}{3} \)
B. \( \frac{16}{3} \)
C. \( \frac{32}{3} \)
D. \( \frac{64}{3} \)
Question 4
Find the value of $\tan \frac{\pi}{4}$.
A. 1
B. -1
C. 0
D. \sqrt{2}
Question 5
A 3x3 matrix is given as \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \). Find the determinant of the matrix.
A. 0
B. 1
C. 2
D. 3
Question 6
A histogram is shown below. What is the mean of the data set?
A. 10
B. 15
C. 20
D. 25
Question 7
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 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 8
Find the value of $\frac{d}{dx} \left\( \frac{1}{x} \right \)$.
A. $-\frac{1}{x^2}$
B. $\frac{1}{x^2}$
C. $-\frac{1}{x}$
D. $\frac{1}{x}$
Question 9
Find the derivative of the function \( f(x) = \frac{x^2}{x^2 + 1} \) u\sing the quotient rule.
A. \( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} \)
B. \( f'(x) = \frac{2x^2}{\( x^2 + 1 \)^2} \)
C. \( f'(x) = \frac{2x\( x^2 + 1 \) - 2x^3}{\( x^2 + 1 \)^2} \)
D. \( f'(x) = \frac{2x^3}{\( x^2 + 1 \)^2} \)
Question 10
Find the volume of the frustum of a cone with height 10cm, lower base radius 4cm, and upper base radius 2cm.
A. 100π cm³
B. 200π cm³
C. 300π cm³
D. 400π cm³
Question 11
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{x^2 + 1}} ) u\sing the chain rule.
A. \( \frac{-x}{\( x^2 + 1 \ \)^{3/2}} )
B. \( \frac{x}{\( x^2 + 1 \ \)^{3/2}} )
C. \( \frac{1}{\( x^2 + 1 \ \)^{3/2}} )
D. \( \frac{-1}{\( x^2 + 1 \ \)^{3/2}} )
Question 12
Solve the trigonometric equation \( \sin^2(x) + \cos^2(x) = 1 \) u\sing trigonometric identities.
A. \( \sin(x) = \pm \sqrt{\frac{1}{2}} \)
B. \( \cos(x) = \pm \sqrt{\frac{1}{2}} \)
C. \( \tan(x) = \pm \sqrt{\frac{1}{2}} \)
D. \( \cot(x) = \pm \sqrt{\frac{1}{2}} \)
Question 13
Solve the equation $\sin x = \frac{1}{2}$.
A. $x = \frac{\pi}{6}$
B. $x = \frac{\pi}{3}$
C. $x = \frac{\pi}{2}$
D. $x = \frac{\pi}{4}$
Question 14
A set A contains 5 elements, and a set B contains 3 elements. If the union of sets A and B is denoted by C, and the intersection of sets A and B is denoted by D, find the number of elements in set C if set D contains 2 elements.
A. 6
B. 7
C. 8
D. 9
Question 15
A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
C. 25
D. 30

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: