Exam Body

Year

Subject

Paper Type

POST UTME COVENANT UNIVERSITY 2023 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 2023 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Determine the value of \( mathbf{a} cdot \( mathbf{b} \times mathbf{c} \ \) ) given that \( mathbf{a} = egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} \), \( mathbf{b} = egin{pmatrix} 4 \ 5 \ 6 \end{pmatrix} \), and \( mathbf{c} = egin{pmatrix} 7 \ 8 \ 9 \end{pmatrix} \).

A. -18

B. 18

Correct C. 0

D. 36

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

Solve for ( x ) in the equation \( \sin^2 x + \cos^2 x = 1 \).

A. \( x = \frac{pi}{2} \)

Correct B. \( x = \frac{pi}{4} \)

C. \( x = \frac{3pi}{4} \)

D. \( x = \frac{5pi}{4} \)

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).

Correct A. \( y = \frac{1}{2}x + \frac{1}{2} \)

B. \( y = \frac{1}{2}x - \frac{1}{2} \)

C. \( y = 2x - 1 \)

D. \( y = 2x + 1 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

A cylindrical \tank with a radius of 4 meters and a height of 10 meters is filled with water. Find the volume of water in the \tank.

A. 160π

B. 320π

Correct C. 640π

D. 1280π

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

A matrix ( A ) is given by \( A = egin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix} \). Find the determinant of ( A ).

A. -2

Correct B. 2

C. 4

D. 6

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

Let \( A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \) and \( B = egin{bmatrix} 5 & 6 \ 7 & 8 \end{bmatrix} \). Find ( AB ) if it exists.

Correct A. \begin{bmatrix} 19 & 22 \\ 43 & 50 \end{bmatrix}

B. \begin{bmatrix} 11 & 14 \\ 23 & 28 \end{bmatrix}

C. \begin{bmatrix} 17 & 20 \\ 37 & 44 \end{bmatrix}

D. \begin{bmatrix} 13 & 16 \\ 29 & 36 \end{bmatrix}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

Solve for ( x ) in the equation \( \sin^2 x + \cos^2 x = 1 \ \).

Correct A. x = \frac{\pi}{4}

B. x = \frac{\pi}{2}

C. x = \frac{\pi}{6}

D. x = \frac{\pi}{3}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

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

Correct A. 55

B. 60

C. 65

D. 70

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

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

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

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

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

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

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

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 = 25

C. \( x - 2 \)^2 + \( y - 3 \)^2 = 36

D. \( x - 2 \)^2 + \( y - 3 \)^2 = 49

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

A. 2.999999999

Correct B. 3.000000001

C. 3.000000002

D. 3.000000003

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

Solve for x in the equation \[ \begin{array}{c} 2x + 5y = 11 \ 3x - 2y = -7 \end{array} \] u\sing matrices.

Correct A. x = 1, y = 2

B. x = 2, y = 1

C. x = 3, y = 4

D. x = 4, y = 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

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 = 16

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

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

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

Solve the trigonometric equation \sin^2 x + \cos^2 x = 1 for x.

Correct A. x = \frac{\pi}{4}

B. x = \frac{\pi}{2}

C. x = \frac{3\pi}{4}

D. x = \frac{5\pi}{4}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

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

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

Solve the inequality \( \frac{x-2}{x+1} geq 0 \) for ( x in mathbb{R} ).

Correct A. \( x leq -1 \) or ( x geq 2 )

B. \( x < -1 \) or \( x > 2 \)

C. \( x leq -1 \) or \( x > 2 \)

D. \( x < -1 \) or ( x leq 2 )

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

Find the mean of the data set ( { 2, 4, 6, 8, 10 } ).

Correct A. 6

B. 8

C. 10

D. 12

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

Find the sum of the first 5 terms of the arithmetic progression ( 2, 5, 8, 11, ldots ).

Correct A. 30

B. 40

C. 50

D. 60

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

Solve the inequality \( \log_{10} \( x^2 \ \) > 4 ).

Correct A. \( x > 10 \)

B. \( x < -10 \)

C. \( x > 100 \)

D. \( x < -100 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

Find the derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.

A. \frac{2x\( x^2 - 4 \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}

B. \frac{2x\( x^2 - 4 \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}

Correct C. \frac{2x\( x^2 - 4 \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}

D. \frac{2x\( x^2 - 4 \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

A fair six-sided die is rolled. What is the probability that the number obtained is greater than 4?

A. \frac{1}{6}

B. \frac{2}{6}

C. \frac{3}{6}

Correct D. \frac{4}{6}

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

Solve the system of equations u\sing matrices: \begin{align*} 2x + 3y &= 7 \ 4x - 2y &= -3 \end{align*}

Correct A. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 1 \ 2 \end{pmatrix}

B. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 2 \ 1 \end{pmatrix}

C. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 3 \ 4 \end{pmatrix}

D. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 4 \ 3 \end{pmatrix}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

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

A. \frac{14}{3}

Correct B. \frac{16}{3}

C. \frac{18}{3}

D. \frac{20}{3}

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

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

A. \frac{1}{2}

B. \frac{2}{7}

C. \frac{3}{7}

Correct D. \frac{4}{7}

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support