POST UTME DELSU 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve for x in the equation \( \sin^2 x + \cos^2 x = 1 \).
A. \( x = \frac{pi}{4} \)
B. \( x = \frac{pi}{2} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = \frac{pi}{6} \)
Question 2
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. \( \frac{1}{2} \)
D. \( \frac{2}{3} \)
Question 3
Find the volume of a cylinder with a radius of 3 units and a height of 6 units.
A. ( 36pi )
B. ( 54pi )
C. ( 72pi )
D. ( 90pi )
Question 4
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
C. 10
D. 20
Question 5
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
B. 2A
C. 3A
D. 4A
Question 6
A polynomial f(x) is defined as ( f(x) = x^3 - 6x^2 + 11x - 6 ). Find the value of f\( -1 \).
A. -1
B. 1
C. 2
D. 3
Question 7
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
C. 0.7
D. 0.8
Question 8
Find the mean of the following data set: 2, 4, 6, 8, 10.
A. ( 6 )
B. ( 8 )
C. ( 10 )
D. ( 12 )
Question 9
A circle has a radius of 5 units. Find the area of the circle.
A. ( 10pi )
B. ( 20pi )
C. ( 25pi )
D. ( 50pi )
Question 10
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.
A. 1
B. 2
C. 3
D. 4
Question 11
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?
A. 0.68
B. 0.80
C. 0.90
D. 0.95
Question 12
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
C. 48π
D. 64π
Question 13
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 1 \) to \( x = 4 \).
A. \( \frac{1}{2} \)
B. \( \frac{1}{2} \)
C. \( \frac{1}{2} \)
D. \( \frac{1}{2} \)
Question 14
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
C. 16
D. 64
Question 15
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
C. 36π
D. 40π

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