POST UTME DELSU 2022 Mathematics | Objective

Are you preparing for POST UTME DELSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
In a circle of radius 6 units, a chord of length 8 units subt\ends an angle of 60 degrees at the centre. Find the area of the sector formed by this chord.
A. 24π
B. 30π
Correct C. 36π
D. 40π

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 2
A polynomial f(x) has a root at x = -2 and a root at x = 3. If f\( -1 \) = 16, find the value of f(2).
A. 0
B. 4
Correct C. 16
D. 64

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 3
A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is between 50 and 70.
A. 0.5
B. 0.6
Correct C. 0.7
D. 0.8

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 4
A circle of radius 4 units is inscribed in a square. Find the area of the region outside the circle but inside the square.
A. 16π
B. 32π
Correct C. 48π
D. 64π

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 5
A polynomial f(x) has a root at x = 2 and a root at x = 5. If f(3) = 10, find the value of f(4).
A. 0
B. 4
Correct C. 10
D. 20

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 6
A random variable X has a probability distribution given by P(X) = \( 1/2 \ \)^n) for n = 1, 2, 3, ... . Find the expected value of X.
Correct A. 1
B. 2
C. 3
D. 4

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 7
Solve for x in the equation \( \sin^2 x + \cos^2 x = 1 \).
Correct A. \( x = \frac{pi}{4} \)
B. \( x = \frac{pi}{2} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = \frac{pi}{6} \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 8
A polynomial f(x) is defined as ( f(x) = x^3 - 6x^2 + 11x - 6 ). Find the value of f\( -1 \).
Correct A. -1
B. 1
C. 2
D. 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 9
A histogram is constructed from a set of data. The histogram has a mean of 25 and a s\tandard deviation of 5. If the data is normally distributed, what is the probability that a randomly selected value will be between 20 and 30?
Correct A. 0.68
B. 0.80
C. 0.90
D. 0.95

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 10
A circuit consists of a 12V battery, a 4Ω resistor, and a 6Ω resistor connected in series. What is the current flowing through the circuit?
A. 1A
Correct B. 2A
C. 3A
D. 4A

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 11
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 1 \) to \( x = 4 \).
Correct A. \( \frac{1}{2} \)
B. \( \frac{1}{2} \)
C. \( \frac{1}{2} \)
D. \( \frac{1}{2} \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 12
A circle has a radius of 5 units. Find the area of the circle.
A. ( 10pi )
B. ( 20pi )
Correct C. ( 25pi )
D. ( 50pi )

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 13
Find the volume of a cylinder with a radius of 3 units and a height of 6 units.
A. ( 36pi )
B. ( 54pi )
Correct C. ( 72pi )
D. ( 90pi )

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 14
Find the mean of the following data set: 2, 4, 6, 8, 10.
A. ( 6 )
Correct B. ( 8 )
C. ( 10 )
D. ( 12 )

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 15
A die is rolled twice. Find the probability that the sum of the two rolls is 7.
A. \( \frac{1}{6} \)
B. \( \frac{1}{3} \)
C. \( \frac{1}{2} \)
Correct D. \( \frac{2}{3} \)

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

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:
Chat with Support