POST UTME MADONNA UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1
B. x > -1
C. x < 1
D. x > 1
Question 2
A solid cone has a height of 8 cm and a base radius of 4 cm. Find the volume of the cone.
A. 256\pi
B. 512\pi
C. 1024\pi
D. 2048\pi
Question 3
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. x=-2
B. x=2
C. x=-1
D. x=1
Question 4
Find the equation of the line pas\sing through the points ( (2,3) ) and ( (4,5) ).
A. y=2x-1
B. y=2x+1
C. y=x-1
D. y=x+1
Question 5
A set of exam scores has a mean of 70 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score will be between 60 and 80?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 6
A bag contains 5 red balls and 3 blue balls. If two balls are drawn at random, what is the probability that both balls are blue?
A. 1/4
B. 1/3
C. 1/2
D. 2/3
Question 7
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > \frac{3}{2} \)
B. \( x < -\frac{3}{2} \) or \( x > 1 \)
C. \( x < -\frac{1}{2} \) or \( x > 3 \)
D. \( x < 1 \) or \( x > -\frac{3}{2} \)
Question 8
Solve the equation $2 \sin^2 x + 3 \sin x - 2 = 0$ for $x$ in the interval $[0, 2π]$.
A. \frac{π}{6}
B. \frac{π}{3}
C. \frac{π}{2}
D. \frac{2π}{3}
Question 9
In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the acute angles is 30°. Find the length of the side opposite the 30° angle.
A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm
Question 10
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 11
A histogram is a graphical representation of a dataset. What is the primary purpose of a histogram?
A. To show the distribution of data
B. To calculate the mean of a dataset
C. To determine the median of a dataset
D. To create a scatter plot
Question 12
Given the vectors α = ¯(1, 2) and β = ¯(3, 4), find the magnitude of the vector α + β.
A. √10
B. √14
C. √18
D. √22
Question 13
Solve the system of linear equations u\sing the method of substitution: 2x + 3y = 7 and x - 2y = -3.
A. x = 2, y = 1
B. x = 1, y = 2
C. x = -1, y = 2
D. x = 2, y = -1
Question 14
Solve the system of equations u\sing matrices:
A. \begin{bmatrix} 1 \ 2 \end{bmatrix}
B. \begin{bmatrix} 2 \ 1 \end{bmatrix}
C. \begin{bmatrix} 3 \ 4 \end{bmatrix}
D. \begin{bmatrix} 4 \ 3 \end{bmatrix}
Question 15
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

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: