Exam Body

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POST UTME KSU 2025 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 2025 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

Determine the mean of the following data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?

A. 6

Correct B. 8

C. 10

D. 12

Correct Answer: B

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Question 2

Solve for x in the equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ 1 \end{bmatrix} = egin{bmatrix} 7 \ 11 \end{bmatrix} \).

A. 3

B. 4

Correct C. 5

D. 6

Correct Answer: C

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Question 3

A random experiment has two indep\endent events, A and B, with probabilities 0.4 and 0.6, respectively. What is the probability that both events occur?

Correct A. 0.2

B. 0.4

C. 0.6

D. 0.8

Correct Answer: A

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Question 4

Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 1 \ 4 & 5 & 2 \ 6 & 7 & 3 \end{bmatrix} \).

A. -1

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 5

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

A. 1023

Correct B. 1024

C. 1025

D. 1026

Correct Answer: B

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Question 6

Let X and Y be indep\endent events with P(X) = 0.4 and P(Y) = 0.6. Find P(X ∩ Y).

Correct A. 0.24

B. 0.36

C. 0.48

D. 0.64

Correct Answer: A

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Question 7

Find the area under the curve y = x^2 from x = 0 to x = 4.

A. 21.33

B. 26.67

Correct C. 32

D. 64

Correct Answer: C

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Question 8

Solve the equation x^3 - 6x^2 + 11x - 6 = 0.

Correct A. 1, 2, 3

B. 1, 2, 4

C. 1, 3, 4

D. 2, 3, 4

Correct Answer: A

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Question 9

Find the determinant of the matrix \begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix}.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 10

Let {a_n} be a sequence defined by a_n = 2n + 1. Find the sum of the first 5 terms of the sequence.

A. 10

B. 12

Correct C. 15

D. 18

Correct Answer: C

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Question 11

Solve the inequality \( \frac{x}{x-2} > 1 \) for \( x > 2 \).

Correct A. x > 4

B. x > 2

C. x < 2

D. x = 4

Correct Answer: A

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Question 12

Find the equation of the circle with center \( 3, -2 \ \) ) and radius ( 4 ).

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

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

C. \( x - 3 \)^2 + \( y + 2 \)^2 = 9

D. \( x + 3 \)^2 + \( y - 2 \)^2 = 9

Correct Answer: A

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Question 13

Solve the equation \( x^2 - 6x + 8 = 0 \).

Correct A. x = 2, x = 4

B. x = 1, x = 7

C. x = 3, x = 5

D. x = 2, x = 6

Correct Answer: A

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Question 14

Find the sum of the first 10 terms of the geometric sequence with first term \( a = 2 \) and common ratio \( r = 3 \).

Correct A. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366

B. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098

C. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098 + 354294

D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098 + 354294 + 1062882

Correct Answer: A

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Question 15

Solve the equation \( x^2 + 5x + 6 = 0 \).

Correct A. x = -2, x = -3

B. x = 2, x = 3

C. x = -1, x = -6

D. x = 1, x = 6

Correct Answer: A

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Question 16

In a binary system, what is the value of the number 1011 in decimal?

A. 11

B. 13

Correct C. 15

D. 17

Correct Answer: C

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Question 17

A histogram is a graphical representation of a frequency distribution. What is the shape of a histogram that represents the distribution of exam scores?

A. Symmetric

Correct B. Skewed

C. Bell-shaped

D. Uniform

Correct Answer: B

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Question 18

A function f(x) = 2x^2 + 3x - 1 is given. Find the derivative of the function u\sing the chain rule.

Correct A. ( f'(x) = 4x + 3 )

B. ( f'(x) = 2x^2 + 3 )

C. ( f'(x) = 4x + 1 )

D. ( f'(x) = 2x^2 + 1 )

Correct Answer: A

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Question 19

A vector \( vec{a} = egin{pmatrix} 2 \ 3 \ 1 \end{pmatrix} \) is given. Find the magnitude of the vector.

A. \( |vec{a}| = 4 \)

Correct B. \( |vec{a}| = 5 \)

C. \( |vec{a}| = 6 \)

D. \( |vec{a}| = 7 \)

Correct Answer: B

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Question 20

A polynomial function f(x) = x^3 - 2x^2 + x - 1 is given. Find the value of the function when x = 2.

A. 9

Correct B. 11

C. 13

D. 15

Correct Answer: B

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Question 21

A random variable X has a probability distribution given by P\( X = 1 \) = 0.3, P\( X = 2 \) = 0.4, and P\( X = 3 \) = 0.3. What is the expected value of X?

A. 1.1

Correct B. 1.3

C. 1.5

D. 1.7

Correct Answer: B

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Question 22

In a histogram with 5 classes, the class width is 2 units. If the first class has a frequency of 3, the second class has a frequency of 5, and the third class has a frequency of 2, what is the total frequency of the first three classes?

Correct A. 10

B. 12

C. 14

D. 16

Correct Answer: A

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Question 23

Solve the quadratic equation \( x^2 + 4x + 4 = 0 \)

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 24

A circle has a radius of 4 units. What is the area of the circle?

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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Question 25

A line passes through the points (2, 3) and (4, 5). What is the slope of the line?

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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