POST UTME REDEEMERS UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram has a mean of 25 and a s\tandard deviation of 5. Find the median.
A. 25
B. 30
C. 35
D. 40
Question 2
Find the equation of the circle with center at ( (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 3
A circle has a radius of 5 cm. Find the area of the circle.
A. 25π
B. 50π
C. 75π
D. 100π
Question 4
A circle with center $C$ and radius $r$ is shown below. If the point $P$ lies on the circle, find the value of $CP$.
A. r
B. 2r
C. 3r
D. 4r
Question 5
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. \( y = x + 1 \)
B. \( y = x - 1 \)
C. \( y = x + 2 \)
D. \( y = x - 2 \)
Question 6
Find the derivative of the function \( y = \sin^2 x \) u\sing the chain rule.
A. \( 2\sin x \cos x \)
B. \( \cos^2 x \)
C. \( \sin x \cos x \)
D. \( \sin^2 x \)
Question 7
Solve for ( x ) in the equation \( 2^x + 2^x = 64 \).
A. 4
B. 5
C. 6
D. 7
Question 8
A survey of 100 students found that 60 students liked reading, 40 students liked writing, and 20 students liked both. Find the probability that a randomly selected student liked reading or writing.
A. 0.7
B. 0.8
C. 0.9
D. 1.0
Question 9
Find the area under the curve \( y = x^3 \) from \( x = 0 \) to \( x = 2 \).
A. 8
B. 16
C. 32
D. 64
Question 10
Solve the equation $\sin^2 x + \cos^2 x = 1$ for $x$ in the interval $[0, 2\pi]$.
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \pi
D. \frac{3\pi}{4}
Question 11
Find the volume of the solid formed by revolving the region bounded by the parabola \( y = x^2 \), the line \( x = 2 \), and the x-axis about the x-axis.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 12
A histogram of exam scores is shown below. What is the mean score if the total number of students is 50?
A. 60
B. 70
C. 80
D. 90
Question 13
Solve the system of equations x + y = 4 and xy = 6.
A. x = 2, y = 2
B. x = 2, y = 3
C. x = 3, y = 2
D. x = 3, y = 3
Question 14
Solve the system of linear equations u\sing matrices: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. \( x = 1, y = 2 \)
B. \( x = 2, y = 1 \)
C. \( x = 3, y = 4 \)
D. \( x = 4, y = 3 \)
Question 15
Find the area under the curve y = x^3 - 6x^2 + 9x + 2 from x = 0 to x = 2.
A. 10
B. 20
C. 30
D. 40

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: