Exam Body

Year

Subject

Paper Type

POST UTME REDEEMERS UNIVERSITY 2019 Mathematics | Objective

Prepare for your exams with POST UTME REDEEMERS UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

Determine the equation of the tangent line to the curve \(y = \frac{1}{2}x^2 - 3x + 2\\(tangent line to the curve (y =\) at the point where \(x = 2\).

Correct A. \(y = -4x + 10\)

B. \(y = 4x - 10\)

C. \(y = -2x + 10\)

D. \(y = 2x - 10\)

Correct Answer: A

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

Question 2 View Details

A cylindrical \tank with a radius of 4m and a height of 10m is filled with water. If the water level rises by 2m, determine the volume of water added to the \tank.

A. ( 100pi ) m³

Correct B. ( 200pi ) m³

C. ( 300pi ) m³

D. ( 400pi ) m³

Correct Answer: B

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

Question 3 View Details

A histogram represents the distribution of exam scores for a class of 50 students. The histogram has 5 bars, with the first bar representing scores from 0-10, the second bar representing scores from 11-20, and so on. If the height of the first bar is 8, the height of the second bar is 12, the height of the third bar is 15, the height of the fourth bar is 18, and the height of the fifth bar is 20, determine the mean score of the class.

A. ( 18 )

B. ( 20 )

Correct C. ( 22 )

D. ( 25 )

Correct Answer: C

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

Question 4 View Details

A vector ( mathbf{a} ) has a magnitude of 6 units and makes an angle of 30° with the positive x-axis. A vector ( mathbf{b} ) has a magnitude of 8 units and makes an angle of 60° with the positive x-axis. Determine the magnitude of the resultant vector \(\mathbf{a} + \mathbf{b}\).

A. ( 10 ) units

B. ( 12 ) units

Correct C. ( 14 ) units

D. ( 16 ) units

Correct Answer: C

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

Question 5 View Details

A binary operation ( odot ) is defined as \(a odot b = ab + 2\). Determine the value of ( 3 odot 4 ).

A. ( 14 )

B. ( 16 )

Correct C. ( 18 )

D. ( 20 )

Correct Answer: C

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

Question 6 View Details

Determine the mean of the following set of numbers: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?

A. 12

Correct B. 14

C. 16

D. 18

Correct Answer: B

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

Question 7 View Details

Solve the quadratic equation \(x^2 + 5x + 6 = 0\) using the quadratic formula.

Correct A. x = -2 or x = -3

B. x = -1 or x = -6

C. \(x = 2\) or \(x = 3\)

D. x = -3 or \(x = 2\)

Correct Answer: A

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

Question 8 View Details

A sequence is defined by the formula \(a_n = 2n + 1\). Find the 5th term of the sequence.

A. 11

B. 13

Correct C. 15

D. 17

Correct Answer: C

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

Question 9 View Details

In a histogram, the frequency of a class is represented by the area of the rectangle. If the width of the class is 5 and the height is 8, what is the area of the rectangle?

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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

Question 10 View Details

A polynomial is defined by the equation ( p(x) = \(x^3 - 2x^2 + 3x - 1\) ). Find the value of ( p(2) ).

A. 9

B. 11

Correct C. 13

D. 15

Correct Answer: C

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

Question 11 View Details

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

Correct A. 104,783

B. 104,783

C. 104,783

D. 104,783

Correct Answer: A

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

Question 12 View Details

Solve the inequality \(\frac{x-2}{x+1}\)\\() > 0.\)

Correct A. \(x < -1\)\cup \(x > 2\)

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

C. \(x > -1\)\cup \(x < 2\)

D. \(x > -1\)\cap \(x < 2\)

Correct Answer: A

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

Question 13 View Details

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

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

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

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

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

Correct Answer: A

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

Question 14 View Details

A binary operation ast is defined as follows: a \ast \(b = a\\(ast is defined as follows: a ast \^2 + b^2). Find \(2 \ast 3\\(). Find (2\) \ast 4.

Correct A. 52

B. 53

C. 54

D. 55

Correct Answer: A

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

Question 15 View Details

A random experiment consists of rolling a fair six-sided die. Find the probability that the sum of the numbers on the two dice is 7.

Correct A. \(\frac{1}{6}\)\)

B. \(\frac{1}{12}\)\)

C. \(\frac{1}{18}\)\)

D. \(\frac{1}{24}\)\)

Correct Answer: A

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

Question 16 View Details

Determine the mean of the following data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Round the answer to the nearest whole number.

A. 10

Correct B. 12

C. 14

D. 16

Correct Answer: B

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

Question 17 View Details

A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Calculate its volume in cubic centimeters.

Correct A. 120

B. 140

C. 160

D. 180

Correct Answer: A

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

Question 18 View Details

Solve the quadratic equation \(x^2 + 5x + 6 = 0\) by factoring.

Correct A. \(x = -2, x = -3\)

B. \(x = 2, x = 3\)

C. \(x = -1, x = -6\)

D. \(x = 1, x = 6\)

Correct Answer: A

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

Question 19 View Details

Find the sum of the first 10 terms of the arithmetic sequence 3, 6, 9, ...

A. 60

B. 70

Correct C. 80

D. 90

Correct Answer: C

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

Question 20 View Details

A circle has a diameter of 14 cm. Calculate its circumference.

A. 44

Correct B. 44.8

C. 45

D. 45.2

Correct Answer: B

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

Question 21 View Details

Let X and Y be independent random variables with probability density functions f_\(X(x) = 2x\), \(0 < x\)\(< 1\), and f_\(Y(y) =\)\(3y^2\),\((0 < y\)\) < 1. Find the probability that \(X + Y < 1\\((0 < y) < 1. Find the probability that\).

Correct A. \(1/4\)

B. \(1/2\)

C. \(3/4\)

D. 1

Correct Answer: A

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

Question 22 View Details

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

A. \(13/3\)

Correct B. \(14/3\)

C. \(15/3\)

D. \(16/3\)

Correct Answer: B

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

Question 23 View Details

Solve the equation \(x^3\) - \\((6x^2 + 11x - 6\)\(= 0.\)\)

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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

Question 24 View Details

A binary number is represented as 1101. Convert it to decimal.

A. 13

B. 14

C. 15

Correct D. 16

Correct Answer: D

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

Question 25 View Details

Simplify the expression \(\sqrt{16} + \sqrt{9}\).

A. 5

Correct B. 6

C. 7

D. 8

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