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POST UTME COVENANT UNIVERSITY 2024 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 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

Determine the mean of the following dataset: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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Question 2

Solve for x in the equation \( \frac{x}{2} + 3 = 7 \).

A. 4

Correct B. 5

C. 6

D. 7

Correct Answer: B

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Question 3

Find the volume of the sphere with radius 4 cm.

Correct A. 256π

B. 512π

C. 1024π

D. 2048π

Correct Answer: A

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Question 4

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

Correct A. \( -∞, -1 \) ∪ (3, ∞)

B. \( -∞, 1 \) ∪ (3, ∞)

C. \( -∞, -3 \) ∪ (1, ∞)

D. \( -∞, 3 \) ∪ (1, ∞)

Correct Answer: A

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Question 5

A histogram is shown below. What is the mean of the data represented by the histogram?

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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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. 28

Correct C. 32

D. 36

Correct Answer: C

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Question 7

Solve the system of equations: \( egin{cases} x + y + z = 6 \ 2x + 2y + z = 8 \ 3x + 3y + z = 9 \end{cases} \).

Correct A. [1, 2, 3]

B. [2, 1, 3]

C. [1, 3, 2]

D. [3, 2, 1]

Correct Answer: A

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Question 8

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

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 9

A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 1 \), with initial term \( a_1 = 3 \). Find the 5th term of the sequence.

A. 31

B. 33

Correct C. 35

D. 37

Correct Answer: C

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Question 10

A set of numbers is defined as \( S = { x in mathbb{R} : x^2 - 4x + 3 = 0 } \). Find the elements of the set.

Correct A. {1, 3}

B. {2, 3}

C. {1, 2}

D. {3, 4}

Correct Answer: A

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Question 11

Let ( f(x) = \frac{x^2 + 3x - 2}{x + 1} ). Find the value of \( f\( -2 \ \) ) u\sing the concept of variation.

A. \( f\( -2 \ \) = 0 )

Correct B. \( f\( -2 \ \) = -2 )

C. \( f\( -2 \ \) = 4 )

D. \( f\( -2 \ \) = -4 )

Correct Answer: B

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Question 12

Find the sum of the first 10 terms of the geometric series ( 2, 6, 18, ldots ).

Correct A. ( 3050 )

B. ( 3060 )

C. ( 3070 )

D. ( 3080 )

Correct Answer: A

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Question 13

Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the concept of variation.

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

B. \( x < -\frac{3}{2} \) or \( x > 1 \)

C. \( x < -1 \) or \( x < \frac{3}{2} \)

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

Correct Answer: A

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Question 14

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

Correct A. \( \frac{pi}{4} \)

B. \( \frac{pi}{2} \)

C. \( \frac{pi}{3} \)

D. \( \frac{pi}{6} \)

Correct Answer: A

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Question 15

Solve the equation \( \log_2 \( x + 1 \ \) = 3 ) for ( x ).

Correct A. \( x = 7 \)

B. \( x = 6 \)

C. \( x = 5 \)

D. \( x = 4 \)

Correct Answer: A

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Question 16

Determine the value of x in the equation \( \frac{1}{2}x + 5 = \frac{3}{4}x - 3 \).

Correct A. 6

B. 8

C. 10

D. 12

Correct Answer: A

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Question 17

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

A. 45

B. 50

Correct C. 55

D. 60

Correct Answer: C

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Question 18

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 19

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 20

A set of 5 numbers has a mean of 10. Find the sum of the numbers.

Correct A. 50

B. 60

C. 70

D. 80

Correct Answer: A

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Question 21

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

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

B. \( \frac{x}{\( 1 - x^2 \ \)^{\frac{3}{2}}} )

C. \( \frac{-x}{\( 1 - x^2 \ \)^{\frac{3}{2}}} )

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

Correct Answer: A

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Question 22

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 23

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

A. \( \frac{3}{2} \)

Correct B. \( \frac{5}{2} \)

C. \( \frac{7}{2} \)

D. \( \frac{9}{2} \)

Correct Answer: B

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Question 24

Find the sum of the first 5 terms of the geometric series \( 2x + 3x^2 + 4x^3 + ldots \).

Correct A. \( 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 \)

B. \( 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 \)

C. \( 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 + 8x^7 \)

D. \( 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 + 8x^7 + 9x^8 \)

Correct Answer: A

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Question 25

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

Correct A. ( 0 )

B. ( 1 )

C. ( 2 )

D. ( 3 )

Correct Answer: A

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