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POST UTME COVENANT UNIVERSITY 2020 Mathematics | Objective

Are you preparing for POST UTME COVENANT UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

Solve for 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 2

Find the value of $ \sin^2 \( 60^\circ \ $ + \cos^2 $ 60^\circ $ ).

Correct A. 1

B. 0

C. 2

D. 3

Correct Answer: A

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Question 3

A particle moves in a straight line with an initial velocity of 5 m/s. If it decelerates uniformly at a rate of 2 m/s^2, find its velocity after 4 seconds.

A. 3

Correct B. 4

C. 5

D. 6

Correct Answer: B

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Question 4

In the diagram below, ( ABC ) is a right-angled triangle with $ angle B = 90^\circ $. If $ AB = 3 $ cm and $ BC = 4 $ cm, find the length of ( AC ).

A. 5

B. 6

Correct C. 7

D. 8

Correct Answer: C

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Question 5

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

Correct A. $ -\infty, -1 $ \cup $ 3, \infty $

B. $ -\infty, 1 $ \cup $ 3, \infty $

C. $ -\infty, -1 $ \cup $ 1, \infty $

D. $ -\infty, 1 $ \cup $ 1, \infty $

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. 24

B. 30

Correct C. 36

D. 42

Correct Answer: C

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Question 7

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

A. 2

B. 4

C. 8

Correct D. 16

Correct Answer: D

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Question 8

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 = 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 9

A particle moves in a straight line with an initial velocity of $ 5 , \text{m/s} $ and an acceleration of $ 2 , \text{m/s}^2 $. Find its velocity after ( 3 ) seconds.

A. 13

B. 15

Correct C. 17

D. 19

Correct Answer: C

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Question 10

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

Correct A. $ x < -1 $ or $ x > \frac{3}{2} $

B. $ x < -1 $ or $ x < \frac{3}{2} $

C. $ x > -1 $ or $ x > \frac{3}{2} $

D. $ x > -1 $ or $ x < \frac{3}{2} $

Correct Answer: A

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Question 11

A solid right circular cone has a height of 8 cm and a base radius of 4 cm. Find the volume of the cone in cubic centimeters.

Correct A. 512\pi

B. 256\pi

C. 1024\pi

D. 2048\pi

Correct Answer: A

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Question 12

Solve for 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 13

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 14

A vector $ \vec{a} $ has a magnitude of 6 units and makes an angle of 30\circ with the positive x-axis. Find the x and y components of $ \vec{a} $.

Correct A. 3\hat{i} + 3\hat{j}

B. 6\hat{i} + 3\hat{j}

C. 3\hat{i} + 6\hat{j}

D. 6\hat{i} + 6\hat{j}

Correct Answer: A

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Question 15

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

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

B. $ x - 3 $^2 + $ y - 2 $^2 = 16

C. $ x - 4 $^2 + $ y - 3 $^2 = 16

D. $ x - 2 $^2 + $ y - 4 $^2 = 16

Correct Answer: A

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Question 16

Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 4.

A. 120

B. 140

Correct C. 160

D. 180

Correct Answer: C

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Question 17

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

Correct A. $ -∞, -1 $ ∪ (3, ∞)

B. $ -∞, -3 $ ∪ (1, ∞)

C. $ -∞, 1 $ ∪ (3, ∞)

D. $ -∞, -3 $ ∪ (1, ∞)

Correct Answer: A

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Question 18

Find the value of x in the equation x^3 - 2x^2 - 5x + 6 = 0.

A. 1

B. -2

Correct C. 3

D. -3

Correct Answer: C

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Question 19

Solve the equation x^2 + 4x - 5 = 0 u\sing the quadratic formula.

Correct A. x = -5, x = 1

B. x = -1, x = 5

C. x = 1, x = -5

D. x = -5, x = -1

Correct Answer: A

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Question 20

Find the area under the curve y = x^3 - 2x^2 + x + 1 from x = 0 to x = 2.

A. 12

B. 14

Correct C. 16

D. 18

Correct Answer: C

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Question 21

Determine the value of $\int_0^1 x^2 \sin^2 x \, dx$.

Correct A. \frac{1}{3}

B. \frac{1}{2}

C. \frac{2}{3}

D. \frac{1}{4}

Correct Answer: A

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Question 22

Solve the inequality $\frac{x^2 - 4}{x + 2} > 0$.

Correct A. $ -\infty, -2 $ \cup $ 2, \infty $

B. $ -\infty, -2 $ \cup $ -2, 2 $ \cup $ 2, \infty $

C. $ -\infty, -2 $ \cup $ 2, \infty $

D. $ -\infty, 2 $ \cup $ 2, \infty $

Correct Answer: A

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Question 23

Find the area under the curve $y = \sin x$ from $x = 0$ to $x = \pi$.

Correct A. 2

B. 1

C. 0

D. -1

Correct Answer: A

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Question 24

Solve the system of equations $\begin{cases} x + y = 2 \ x - 2y = -3 \end{cases}$.

Correct A. (1, 1)

B. (2, 0)

C. $ -1, 3 $

D. (0, 2)

Correct Answer: A

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Question 25

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. -1

D. 2

Correct Answer: A

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