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POST UTME KSU 2022 Mathematics | Objective

Are you preparing for POST UTME KSU 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.

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Question 1

Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula. What is the value of ( x )?

Correct A. -2

B. -3

C. 2

D. 3

Correct Answer: A

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Question 2

A circle has a radius of 4 cm. If the center of the circle is at the point (2, 3), what is the equation of the circle in s\tandard form?

Correct A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16

B. \( x + 2 \)^2 + \( y + 3 \)^2 = 16

C. \( x - 2 \)^2 + \( y + 3 \)^2 = 16

D. \( x + 2 \)^2 + \( y - 3 \)^2 = 16

Correct Answer: A

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Question 3

Find the determinant of the matrix \( \begin{bmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{bmatrix} \).

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

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Question 4

A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, with the first bar representing scores 0-10, the second bar representing scores 11-20, and so on. If the mean score is 25, what is the median score?

A. 20

Correct B. 25

C. 30

D. 35

Correct Answer: B

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Question 5

Find the equation of the line pas\sing through the points (2, 3) and (4, 5).

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = -2x + 1

D. y = -2x - 1

Correct Answer: A

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Question 6

A rec\tangular prism has a length of 10 cm, a width of 8 cm, and a height of 6 cm. Find the volume of the prism in cubic centimeters.

Correct A. 480

B. 640

C. 800

D. 960

Correct Answer: A

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Question 7

Solve for x in the equation: \( 2x^2 + 5x - 3 = 0 \)

Correct A. 1/2

B. -1/2

C. 3/2

D. -3/2

Correct Answer: A

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Question 8

A set of 5 consecutive integers has a median of 10. What is the sum of the integers?

A. 50

B. 60

Correct C. 70

D. 80

Correct Answer: C

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Question 9

A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?

Correct A. ₦1250

B. ₦12500

C. ₦125000

D. ₦1250000

Correct Answer: A

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Question 10

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?

A. 1/2

B. 1/3

Correct C. 2/3

D. 1/6

Correct Answer: C

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Question 11

A random variable X has a probability distribution given by P\( X = x \) = \( 1/2 \)^x for x = 0, 1, 2, ... . Find the probability that X is greater than 2.

Correct A. 1/4

B. 1/2

C. 3/4

D. 1

Correct Answer: A

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Question 12

The volume of a sphere (V) varies with its radius (r) as V = \( 4/3 \)πr^3. If the radius of a sphere is increased from 2 cm to 4 cm, calculate the percentage increase in its volume.

A. 100%

B. 200%

Correct C. 300%

D. 400%

Correct Answer: C

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Question 13

In a set of 8 distinct integers, 3 are odd and 5 are even. If 2 integers are randomly selected, what is the probability that the product of the two integers is even?

A. 1/2

Correct B. 2/3

C. 3/4

D. 4/5

Correct Answer: B

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Question 14

The sum of the first n terms of an arithmetic progression (AP) is given by Sn = n/2 [2a + \( n-1 \)d], where a is the first term and d is the common difference. If the sum of the first 10 terms of an AP is 110, and the first term is 2, find the common difference.

A. 3

Correct B. 4

C. 5

D. 6

Correct Answer: B

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Question 15

A curve is defined by the equation y = x^2 + 2x - 3. Find the equation of the \tangent to the curve at the point where x = 1.

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = x - 1

D. y = x + 1

Correct Answer: A

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Question 16

Find the volume of the solid formed by revolving the region bounded by the curves y = x^2, y = 0, and x = 2 about the x-axis.

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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Question 17

Solve the matrix equation AX = B, where A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}, X = \begin{bmatrix} x \\ y \end{bmatrix}, and B = \begin{bmatrix} 5 \\ 6 \end{bmatrix}.

Correct A. \begin{bmatrix} 1 \\ 2 \end{bmatrix}

B. \begin{bmatrix} 2 \\ 3 \end{bmatrix}

C. \begin{bmatrix} 3 \\ 4 \end{bmatrix}

D. \begin{bmatrix} 4 \\ 5 \end{bmatrix}

Correct Answer: A

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Question 18

Find the area under the curve y = x^3 from x = 0 to x = 2.

A. 8

Correct B. 16

C. 32

D. 64

Correct Answer: B

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Question 19

Solve the equation \log_{10} \( x^2 \) = 4.

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 20

Find the surface area of the solid formed by revolving the region bounded by the curves y = x^2, y = 0, and x = 2 about the x-axis.

A. 32\pi

B. 64\pi

Correct C. 128\pi

D. 256\pi

Correct Answer: C

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Question 21

Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 22

A set A contains 5 elements. If 3 elements are randomly selected from set A, what is the probability that the selected elements are all distinct?

A. 1/10

B. 1/5

Correct C. 3/10

D. 1/2

Correct Answer: C

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Question 23

Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.

A. -2x/\( x^2 + 1 \)^2

Correct B. 2x/\( x^2 + 1 \)^2

C. -2/\( x^2 + 1 \)^2

D. 2/\( x^2 + 1 \)^2

Correct Answer: B

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Question 24

A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 1 \) with initial term \( a_1 = 3 \). Find the value of \( a_{10} \).

Correct A. 1023

B. 1024

C. 1025

D. 1026

Correct Answer: A

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Question 25

A histogram is constructed with 5 classes of equal width. The first class has a frequency of 10, the second class has a frequency of 15, the third class has a frequency of 20, the fourth class has a frequency of 25, and the fifth class has a frequency of 30. What is the mean of the histogram?

A. 20

B. 22

Correct C. 24

D. 26

Correct Answer: C

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