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POST UTME UNILAG 2024 Mathematics | Objective

Are you preparing for POST UTME UNILAG exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

In a base-8 number system, what is the value of the digit $x$ in the number $x_8$ such that $x_8 + 12_8 = 23_8$?

Correct A. 2

B. 3

C. 4

D. 5

Correct Answer: A

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Question 2

A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is the volume of the prism in cubic centimeters?

A. 72

B. 80

Correct C. 96

D. 108

Correct Answer: C

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Question 3

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

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 4

A vector \overrightarrow{a} has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. Find the x and y components of the vector.

Correct A. 3, 4.33

B. 4.33, 3

C. 5, 5

D. 2, 3

Correct Answer: A

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Question 5

Two events, A and B, are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).

Correct A. 0.12

B. 0.24

C. 0.36

D. 0.48

Correct Answer: A

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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 the inequality $ 2x^2 + 5x - 3 > 0 $.

Correct A. x < -1 or x > 3/2

B. x < 1 or x > -3/2

C. x < -3/2 or x > 1

D. x < 3/2 or x > -1

Correct Answer: A

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Question 8

Find the volume of the solid formed by revolving the region bounded by the curve $ y = x^2 $ and the line $ 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 9

Solve the equation $ x^2 - 4x + 4 = 0 $.

Correct A. x = 2

B. x = 1

C. x = 0

D. x = -2

Correct Answer: A

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Question 10

Find the surface area of the solid formed by revolving the region bounded by the curve $ y = x^2 $ and the line $ 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 11

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

Correct A. $ \frac{-x}{\( x^2 + 1 \ $^{3/2}} )

B. $ \frac{x}{\( x^2 + 1 \ $^{3/2}} )

C. $ \frac{1}{\( x^2 + 1 \ $^{3/2}} )

D. $ \frac{-1}{\( x^2 + 1 \ $^{3/2}} )

Correct Answer: A

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Question 12

Solve the inequality $ \log_2 \( x^2 - 4 \ $ > 2 ).

A. $ x > 2 $

B. $ x < -2 $

Correct C. $ x > 2 $ or $ x < -2 $

D. $ x > 4 $

Correct Answer: C

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Question 13

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

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

B. $ x - 2 \ $^2 + $ y - 3 $^2 = 4 )

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

D. $ x - 3 \ $^2 + $ y - 2 $^2 = 4 )

Correct Answer: A

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Question 14

A histogram of exam scores is shown below. Find the mean score.

A. ( 60 )

B. ( 70 )

Correct C. ( 80 )

D. ( 90 )

Correct Answer: C

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Question 15

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

Correct A. ( 64 )

B. ( 16 )

C. ( 32 )

D. ( 128 )

Correct Answer: A

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Question 16

Find the value of x in the equation $ \frac{1}{2}x + 5 = \frac{3}{4}x - 3 $

Correct A. 4

B. 6

C. 8

D. 10

Correct Answer: A

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Question 17

Solve for x in the equation $ x^2 - 6x + 8 = 0 $

A. 2

Correct B. 3

C. 4

D. 5

Correct Answer: B

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Question 18

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

A. 16

B. 32

Correct C. 64

D. 128

Correct Answer: C

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Question 19

A circle has a radius of 5 cm. Find the area of the circle

A. 25

Correct B. 50

C. 75

D. 100

Correct Answer: B

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Question 20

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 21

In triangle ABC, angle A = 30°, angle B = 60°, and side AB = 6 cm. Find the length of side AC.

A. 4 cm

B. 6 cm

Correct C. 8 cm

D. 10 cm

Correct Answer: C

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Question 22

A solid cone has a height of 8 cm and a base radius of 4 cm. Find the volume of the cone.

A. 32π cm³

B. 64π cm³

Correct C. 128π cm³

D. 256π cm³

Correct Answer: C

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Question 23

Solve for x in the equation: 2^x + 5^x = 7^x.

A. x = 1

Correct B. x = 2

C. x = 3

D. x = 4

Correct Answer: B

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Question 24

Find the sum of the first 10 terms of the arithmetic progression: 1, 3, 5, ...

A. 50

B. 55

Correct C. 60

D. 65

Correct Answer: C

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Question 25

In the diagram below, ABC is a right-angled triangle with AB = 6 cm and BC = 8 cm. Find the length of AC.

A. 4 cm

B. 6 cm

Correct C. 8 cm

D. 10 cm

Correct Answer: C

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