Exam Body

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Subject

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POST UTME EKSU 2021 Mathematics | Objective

Are you preparing for POST UTME EKSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 24π cm³

Correct B. 48π cm³

C. 96π cm³

D. 192π cm³

Correct Answer: B

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Question 2

A bag contains 5 red balls, 4 blue balls, and 3 green balls. If a ball is drawn at random, what is the probability that it is either red or blue?

A. \frac{3}{6}

B. \frac{5}{12}

Correct C. \frac{7}{12}

D. \frac{9}{12}

Correct Answer: C

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Question 3

Solve the inequality: \( 2x^2 + 5x - 3 \geq 0 \).

Correct A. \left( -\frac{3}{2}, \frac{1}{2} \right]

B. \left( -\infty, \frac{1}{2} \right]

C. \left( -\infty, -\frac{3}{2} \right]

D. \left( -\infty, \infty \right]

Correct Answer: A

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Question 4

Find the derivative of the function: \( f(x) = \frac{1}{x^2 + 1} \).

A. \frac{-2x}{\( x^2 + 1 \)^2}

Correct B. \frac{2x}{\( x^2 + 1 \)^2}

C. \frac{-2}{\( x^2 + 1 \)^2}

D. \frac{2}{\( x^2 + 1 \)^2}

Correct Answer: B

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Question 5

A set of exam scores has a mean of 75 and a s\tandard deviation of 10. If a new score of 90 is added to the set, what is the new mean?

A. 76

B. 77

Correct C. 78

D. 79

Correct Answer: C

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Question 6

Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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Question 7

Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 8

Find the determinant of the matrix \( \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 9

A binary operation ( ast ) is defined as \( a ast b = ab + 1 \). Find the value of ( 2 ast 3 ).

A. 7

Correct B. 8

C. 9

D. 10

Correct Answer: B

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Question 10

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

A. 2

Correct B. 4

C. 6

D. 8

Correct Answer: B

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Question 11

Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 48\pi cm^3

B. 64\pi cm^3

Correct C. 80\pi cm^3

D. 96\pi cm^3

Correct Answer: C

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Question 12

A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?

A. 0.5

B. 0.6

Correct C. 0.7

D. 0.8

Correct Answer: C

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Question 13

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

A. -2

Correct B. -3

C. 2

D. 3

Correct Answer: B

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Question 14

Find the sum of the first 10 terms of the arithmetic sequence 2, 5, 8, ...

A. 55

Correct B. 60

C. 65

D. 70

Correct Answer: B

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Question 15

Find the derivative of the function \( f(x) = 3x^2 + 2x - 5 \).

Correct A. 6x + 2

B. 6x - 2

C. 3x + 2

D. 3x - 2

Correct Answer: A

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Question 16

Find the determinant of the matrix [ egin{array}{ccc} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{array} ].

Correct A. 0

B. -1

C. 1

D. 2

Correct Answer: A

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Question 17

Solve for x in the equation [ x^2 + 5x + 6 = 0 ].

A. -2

Correct B. -1

C. 1

D. 2

Correct Answer: B

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Question 18

Find the volume of the cylinder with radius 4 cm and height 10 cm.

Correct A. 400\pi

B. 500\pi

C. 600\pi

D. 800\pi

Correct Answer: A

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Question 19

Solve the trigonometric equation [ 2 \sin^2 x + 3 \cos x - 1 = 0 \].

A. \frac{\pi}{6}

Correct B. \frac{\pi}{4}

C. \frac{\pi}{3}

D. \frac{\pi}{2}

Correct Answer: B

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Question 20

Find the surface area of the sphere with radius 6 cm.

A. 288\pi

B. 360\pi

Correct C. 432\pi

D. 576\pi

Correct Answer: C

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Question 21

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

A. 10

Correct B. 100

C. 1000

D. 10000

Correct Answer: B

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Question 22

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

A. 64

B. 128

Correct C. 256

D. 512

Correct Answer: C

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Question 23

Solve the system of equations \( \begin{cases} 2x + 3y = 7 \ 4x - 2y = -3 \end{cases} \).

Correct A. x = 1, y = 2

B. x = 2, y = 1

C. x = 3, y = 4

D. x = 4, y = 5

Correct Answer: A

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Question 24

Find the determinant of the matrix \( \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 25

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

Correct A. x = -2

B. x = -1

C. x = 0

D. x = 1

Correct Answer: A

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