POST UTME RHEMA UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area under the curve \( y = \frac{1}{x^2} \) from \( x = 1 \) to \( x = 2 \).
A. 0.5
B. 1
C. 1.5
D. 2
Question 2
Solve the inequality \( 2x^2 + 5x - 3 > 0 \). Express your answer in interval notation.
A. \left\( -\infty, -1 \right \) \cup \left\( 3, \infty \right \)
B. \left\( -\infty, 3 \right \) \cup \left\( 3, \infty \right \)
C. \left\( -\infty, -1 \right \) \cup \left\( -1, 3 \right \)
D. \left\( -\infty, 3 \right \)
Question 3
Find the equation of the circle pas\sing through the points (2, 3), (4, 1), and \( -1, 2 \).
A. x^2 + y^2 - 6x - 2y + 12 = 0
B. x^2 + y^2 - 4x + 2y + 8 = 0
C. x^2 + y^2 + 2x - 4y + 4 = 0
D. x^2 + y^2 - 2x + 4y - 8 = 0
Question 4
A circle has a radius of 4 cm. Find its circumference.
A. 8\pi
B. 10\pi
C. 12\pi
D. 16\pi
Question 5
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \) u\sing integration.
A. \( A = \frac{8}{3} \)
B. \( A = \frac{16}{3} \)
C. \( A = \frac{24}{3} \)
D. \( A = \frac{32}{3} \)
Question 6
Solve the equation \( \sin^2 x + \cos^2 x = 1 \) for ( x ).
A. 0
B. \frac{\pi}{2}
C. \frac{\pi}{4}
D. \frac{\pi}{6}
Question 7
Solve the equation \( \sin\( x \ \) = \cos(x) ).
A. \( x = \frac{pi}{4} \)
B. \( x = \frac{3pi}{4} \)
C. \( x = \frac{5pi}{4} \)
D. \( x = \frac{7pi}{4} \)
Question 8
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 9
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 10
Find the value of x in the equation 2^x + 5^x = 10^x.
A. 2
B. 3
C. 4
D. 5
Question 11
Determine the value of x in the equation \( \frac{x}{2} + \frac{1}{3} = \frac{7}{12} \).
A. 1
B. 2
C. 3
D. 4
Question 12
Find the equation of the line pas\sing through the points (1, 2) and (3, 4).
A. y = 2x - 1
B. y = 2x + 1
C. y = x + 1
D. y = x - 1
Question 13
Solve the system of equations: x + y = 4 and xy = 5.
A. \begin{bmatrix} 1 \ 3 \end{bmatrix}
B. \begin{bmatrix} 2 \ 2 \end{bmatrix}
C. \begin{bmatrix} 3 \ 1 \end{bmatrix}
D. \begin{bmatrix} 4 \ 0 \end{bmatrix}
Question 14
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} )
Question 15
Solve the inequality \( 2x - 5 > 3 \).
A. x > 4
B. x < 4
C. x > 2
D. x < 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: