Exam Body

Year

Subject

Paper Type

POST UTME RHEMA UNIVERSITY 2021 Mathematics | Objective

Are you preparing for POST UTME RHEMA 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

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

Correct A. 6

B. 7

C. 8

D. 9

Correct Answer: A

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Question 2

Solve for y in the equation $ y^2 + 4y - 5 = 0 $.

A. -1

Correct B. 2

C. -2

D. 1

Correct Answer: B

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Question 3

Find the value of x in the equation $ x^2 - 4x - 5 = 0 $.

Correct A. 5

B. -1

C. 1

D. -5

Correct Answer: A

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Question 4

Solve for y in the equation $ y^2 + 2y - 6 = 0 $.

Correct A. -3

B. 2

C. -2

D. 1

Correct Answer: A

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Question 5

Determine the value of x in the equation $ x^2 + 4x - 5 = 0 $.

A. -1

Correct B. 2

C. -2

D. 1

Correct Answer: B

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Question 6

A random variable X has a probability distribution given by P$ X = 1 $ = 0.4, P$ X = 2 $ = 0.3, P$ X = 3 $ = 0.2, P$ X = 4 $ = 0.1. Find the expected value of X.

A. 1.5

Correct B. 2.0

C. 2.5

D. 3.0

Correct Answer: B

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Question 7

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

A. 32

B. 64

Correct C. 96

D. 128

Correct Answer: C

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Question 8

A set A = {1, 2, 3, 4, 5} and a set B = {4, 5, 6, 7, 8}. Find the symmetric difference of sets A and B.

Correct A. {1, 2, 3, 6, 7, 8}

B. {1, 2, 3, 4, 5, 6, 7, 8}

C. {4, 5}

D. {1, 2, 3, 4, 5, 6, 7, 8}

Correct Answer: A

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Question 9

Find the sum of the first 10 terms of the geometric progression 2, 6, 18, ...

A. 1092

B. 1236

Correct C. 1380

D. 1524

Correct Answer: C

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Question 10

A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is greater than 70.

A. 0.1587

B. 0.3413

C. 0.4772

Correct D. 0.6915

Correct Answer: D

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Question 11

Find the area under the curve $ y = \frac{1}{2}x^2 + 3x - 2 $ from $ x = 0 $ to $ x = 4 $.

A. 64

B. 80

Correct C. 96

D. 112

Correct Answer: C

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Question 12

Solve the matrix equation $ \begin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 4 \end{bmatrix} $.

Correct A. \\begin{bmatrix} 1 \\ 2 \\end{bmatrix}

B. \\begin{bmatrix} 2 \\ 1 \\end{bmatrix}

C. \\begin{bmatrix} 3 \\ 4 \\end{bmatrix}

D. \\begin{bmatrix} 4 \\ 3 \\end{bmatrix}

Correct Answer: A

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Question 13

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

Correct A. 131070

B. 131070

C. 131070

D. 131070

Correct Answer: A

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Question 14

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

A. 4

B. 6

Correct C. 8

D. 10

Correct Answer: C

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Question 15

Find the area of the histogram with class widths ( 2, 4, 6, 8 ) and corresponding frequencies ( 3, 5, 7, 9 ).

A. 120

B. 140

Correct C. 160

D. 180

Correct Answer: C

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Question 16

Find the sum of the infinite geometric series $ 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ... $.

Correct A. 2

B. 4

C. 8

D. 16

Correct Answer: A

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Question 17

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

A. 7

B. 9

Correct C. 11

D. 13

Correct Answer: C

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Question 18

Find the sum of the first 5 terms of the arithmetic progression ( 1, 3, 5, 7, 9, ... ).

A. 25

B. 30

Correct C. 35

D. 40

Correct Answer: C

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Question 19

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

A. 4

B. 6

C. 8

D. 10

Correct Answer: VIEW ANSWER

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Question 20

Determine the value of $x$ in the equation $2^x + 5^x = 7^x$.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 21

Solve for $x$ in the equation $\frac{1}{2} \log_{10} $ x^2 $ = 4$.

A. 10

Correct B. 100

C. 1000

D. 10000

Correct Answer: B

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Question 22

Find the value of $\frac{d}{dx} \left$ \frac{1}{x^2} \right $$.

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

B. \frac{2}{x^3}

C. -\frac{1}{x^3}

D. \frac{1}{x^3}

Correct Answer: A

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Question 23

In the matrix $\begin{bmatrix} 2 & 1 \ 3 & 2 \end{bmatrix}$, find the value of $x$ such that $\begin{bmatrix} 2 & 1 \ 3 & 2 \end{bmatrix} \begin{bmatrix} x \ 1 \end{bmatrix} = \begin{bmatrix} 5 \ 8 \end{bmatrix}$.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 24

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

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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Question 25

Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm, given that the slant height is 8 cm. Use the formula $ V = \frac{1}{3} pi h \( r_1^2 + r_2^2 + r_1 r_2 \ $ ).

A. 48\pi

B. 64\pi

Correct C. 80\pi

D. 96\pi

Correct Answer: C

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