POST UTME DELSU 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Determine the mean of the following data set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
A. 5
B. 6
C. 7
D. 8
Question 2
Find the equation of the circle with center (1, 2) and radius 3.
A. \( x - 1 \)^2 + \( y - 2 \)^2 = 9
B. \( x + 1 \)^2 + \( y - 2 \)^2 = 9
C. \( x - 1 \)^2 + \( y + 2 \)^2 = 9
D. \( x + 1 \)^2 + \( y + 2 \)^2 = 9
Question 3
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 student scored above 90?
A. 0.1587
B. 0.3413
C. 0.4772
D. 0.6745
Question 4
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{1}{\( x^2 + 1 \)^2} )
D. ( f'(x) = \frac{1}{\( x^2 + 1 \)^2} )
Question 5
The mean of a data set is 25 and the s\tandard deviation is 3. Find the sum of the squares of the deviations from the mean.
A. 900
B. 1000
C. 1100
D. 1200
Question 6
Solve the equation \sin^2(x) + \cos^2(x) = 1 for x in the interval [0, 2π].
A. x = 0, π/2, π, 3π/2, 2π
B. x = 0, π/4, π/2, 3π/4, π, 5π/4, 3π/2, 7π/4, 2π
C. x = 0, π/2, π, 3π/2, 2π
D. x = 0, π, 2π
Question 7
The mean of 5 numbers is 15. If one of the numbers is 20, find the mean of the remaining 4 numbers.
A. 12
B. 14
C. 16
D. 18
Question 8
Solve for x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \).
A. \( x = -10 \)
B. \( x = 3 \)
C. \( x = -3 \)
D. \( x = 10 \)
Question 9
In a histogram with 5 classes, the class width is 2. If the first class starts at 10 and the last class \ends at 25, what is the value of the class that starts at 18?
A. 16
B. 18
C. 20
D. 22
Question 10
A rec\tangular box has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.
A. 72 cm^3
B. 48 cm^3
C. 36 cm^3
D. 24 cm^3
Question 11
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 2
B. 4
C. 10
D. 20
Question 12
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?
A. 30
B. 40
C. 50
D. 60
Question 13
Solve the inequality \( x^2 + 4x - 5 > 0 \).
A. \( x < -5 \) or \( x > 1 \)
B. \( x < -1 \) or \( x > 5 \)
C. \( x < 1 \) or \( x > 5 \)
D. \( x < -5 \) or \( x < 1 \)
Question 14
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. -1
C. 2
D. 3
Question 15
Find the area under the curve \( y = x^2 \) from 0 to 2.
A. 2
B. 4
C. 6
D. 8

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: