POST UTME DELSU 2022 Mathematics | Objective

Prepare for your exams with POST UTME DELSU questions? Reviewing past/model 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.

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Question 1 View Details
In a circle of radius 6 units, a chord of length 8 units subtends 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

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Question 2 View Details
A polynomial f(x) has a root at x = -2 and a root at (x = 3\). If f\(-1 = 16\\((x = 3). If f\), find the value of f(2).
A. 0
B. 4
Correct C. 16
D. 64

Correct Answer: C

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Question 3 View Details
A histogram of exam scores has a mean of 60 and a standard 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

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Question 4 View Details
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

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Question 5 View Details
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

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Question 6 View Details
A random variable X has a probability distribution given by P(X) = \((1/2\) \\\()^n)\) for \\((1/2 \(n = 1\), 2, 3, ... . Find the expected value of X.
Correct A. 1
B. 2
C. 3
D. 4

Correct Answer: A

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Question 7 View Details
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. \(x = \frac{3\pi}{4}\)
D. \(x = \frac{\pi}{6}\)

Correct Answer: A

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Question 8 View Details
A polynomial f(x) is defined as ( f(x) = \((x^3 - 6x^2 + 11x - 6\)\) ). Find the value of f\(-1\\((x^3 - 6x^2 + 11x - 6) ). Find the value of f\).
Correct A. -1
B. 1
C. 2
D. 3

Correct Answer: A

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Question 9 View Details
A histogram is constructed from a set of data. The histogram has a mean of 25 and a standard 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

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Question 10 View Details
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

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Question 11 View Details
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

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Question 12 View Details
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

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Question 13 View Details
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

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Question 14 View Details
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

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Question 15 View Details
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

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