Exam Body

Year

Subject

Paper Type

POST UTME REDEEMERS UNIVERSITY 2021 Mathematics | Objective

Are you preparing for POST UTME REDEEMERS UNIVERSITY 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

Solve the inequality \( \frac{x^2 - 4}{x + 2} geq 0 \) for ( x in mathbb{R} ).

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

B. \( x > -2 \) and \( x < 2 \)

C. \( x < -2 \) or \( x > 2 \)

D. \( x = -2 \) or \( x = 2 \)

Correct Answer: A

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

Question 2

Find the equation of the circle with center \( C\( -2, 3 \ \) ) and radius \( r = 4 \).

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

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

Question 3

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

Correct A. \( \frac{1}{2} \)

B. \( \frac{3}{4} \)

C. \( \frac{5}{6} \)

D. \( \frac{7}{8} \)

Correct Answer: A

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

Question 4

Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for ( x in [0, 2pi] ).

Correct A. \( x = \frac{pi}{4} \) or \( x = \frac{3pi}{4} \)

B. \( x = \frac{pi}{2} \) or \( x = \frac{3pi}{2} \)

C. \( x = \frac{pi}{4} \) or \( x = \frac{7pi}{4} \)

D. \( x = \frac{pi}{2} \) or \( x = \frac{5pi}{2} \)

Correct Answer: A

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

Question 5

A curve is defined by the equation \( y = \frac{1}{x^2 + 1} \). Find the equation of the \tangent line at the point \( 1, \frac{1}{2} \ \) ).

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

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

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

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

Correct Answer: A

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

Question 6

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

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

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

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

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

Correct Answer: A

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

Question 7

Find the volume of the frustum of a cone with height 10cm, lower base radius 4cm, and upper base radius 2cm.

Correct A. \( \frac{1}{3} pi \( 4^2 + 2^2 + 4 cdot 2 cdot 4 \ \) )

B. \( \frac{1}{3} pi \( 4^2 + 2^2 - 4 cdot 2 cdot 4 \ \) )

C. \( \frac{1}{3} pi \( 4^2 + 2^2 + 2 cdot 4 cdot 2 \ \) )

D. \( \frac{1}{3} pi \( 4^2 + 2^2 - 2 cdot 4 cdot 2 \ \) )

Correct Answer: A

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

Question 8

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

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

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

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

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

Correct Answer: A

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

Question 9

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

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

Question 10

Solve the system of equations \( x + y = 2 \) and \( xy = 1 \).

Correct A. \( x = 1, y = 1 \)

B. \( x = 1, y = -1 \)

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

D. \( x = -1, y = -1 \)

Correct Answer: A

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

Question 11

Determine the value of x in the equation \( \frac{x}{2} + 5 = 11 \).

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 12

Solve for y in the equation \( y^2 + 4y - 5 = 0 \).

A. -5

Correct B. -1

C. 1

D. 5

Correct Answer: B

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

Question 13

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

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

Question 14

A circle has a radius of 4 cm. Find the area of the circle.

Correct A. 16\pi

B. 32\pi

C. 64\pi

D. 128\pi

Correct Answer: A

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

Question 15

A right-angled triangle has a hypotenuse of 10 cm and one leg of 6 cm. Find the length of the other leg.

A. 4

B. 6

Correct C. 8

D. 12

Correct Answer: C

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

Question 16

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} ].

A. 1

Correct B. -1

C. 2

D. 3

Correct Answer: B

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

Question 17

A circle has a diameter of 10 cm. Find the area of the circle.

A. 50\pi

Correct B. 100\pi

C. 200\pi

D. 250\pi

Correct Answer: B

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

Question 18

Solve the equation [ 2x + 5 = 11 ].

Correct A. 3

B. 2

C. 4

D. 5

Correct Answer: A

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

Question 19

Find the probability of drawing two aces from a deck of 52 cards.

A. \frac{1}{52}

B. \frac{1}{26}

C. \frac{1}{51}

Correct D. \frac{1}{52} \cdot \frac{1}{51}

Correct Answer: D

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

Question 20

Solve the inequality [ 2x - 5 > 3 ].

Correct A. x > 4

B. x < 4

C. x > 3

D. x < 3

Correct Answer: A

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

Question 21

Let X and Y be indep\endent events with P(X) = 0.4 and P(Y) = 0.6. Find P(X ∩ Y).

Correct A. 0.24

B. 0.36

C. 0.48

D. 0.60

Correct Answer: A

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

Question 22

Solve for x in the equation \( x^2 - 6x - 8 = 0 \).

A. 2

Correct B. -2

C. 4

D. -4

Correct Answer: B

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

Question 23

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

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

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

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

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

Correct Answer: A

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

Question 24

A set A contains 5 elements, and a set B contains 3 elements. Find the number of elements in the union of sets A and B.

A. 8

Correct B. 10

C. 12

D. 15

Correct Answer: B

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

Question 25

Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...

A. 62

Correct B. 64

C. 66

D. 68

Correct Answer: B

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