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Subject

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POST UTME RSU 2021 Mathematics | Objective

Prepare for your exams with POST UTME RSU questions? Reviewing past/model 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.

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Question 1 View Details

Find the value of ( x ) in the equation \(\log_{10} x^2 \\)\(= 4 ).\)

Correct A. 10

B. 100

C. 1000

D. 10000

Correct Answer: A

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Question 2 View Details

Solve for ( x ) in the equation \(2x^2 + 5x - 3 = 0\).

A. -1

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 3 View Details

Find the determinant of the matrix \(egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}\).

A. -2

Correct B. 2

C. 4

D. 6

Correct Answer: B

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Question 4 View Details

A solid cylinder has a radius of 4 cm and a height of 10 cm. Find its volume.

A. 800\pi

Correct B. 1000\pi

C. 1200\pi

D. 1600\pi

Correct Answer: B

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Question 5 View Details

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find its surface area.

A. 50

B. 60

Correct C. 70

D. 80

Correct Answer: C

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Question 6 View Details

Find the value of x in the equation \(\log_{10} x^2 \\)\(= 4 ).\)

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 7 View Details

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

Correct A. x < -1 or \(x > 3/2\)\)

B. \(x < 1\) or x > \(-3/2\)

C. \(x <\)\(-3/2\) or \(x > 1\)

D. \(x < 3/2\)\) or x > -1

Correct Answer: A

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Question 8 View Details

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

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Question 9 View Details

Find the derivative of the function ( f(x) = \(3x^2 - 2x + 1\) ).

Correct A. 6x - 2

B. 6x + 2

C. \(3x^2 - 2\)

D. \(3x^2 + 2\)

Correct Answer: A

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Question 10 View Details

Solve the system of equations \(x + y = 4\) and \(x - y = 2\).

Correct A. \(x = 3\), \(y = 1\)

B. \(x = 1\), \(y = 3\)

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

D. \(x = 4\), \(y = 0\)

Correct Answer: A

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Question 11 View Details

In a binary system, what is the value of the number 1011 in base 10?

A. 11

Correct B. 13

C. 15

D. 17

Correct Answer: B

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Question 12 View Details

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

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Question 13 View Details

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?

Correct A. \(1/2\)

B. \(1/3\)

C. \(2/5\)

D. \(3/8\)

Correct Answer: A

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Question 14 View Details

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

A. 16

B. 32

Correct C. 64

D. 128

Correct Answer: C

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Question 15 View Details

Find the magnitude of the vector [2, 3, 4].

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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Question 16 View Details

Find the sum of the infinite geometric series - 3 + 6 + 12 + …

Correct A. -24

B. 24

C. -12

D. 12

Correct Answer: A

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Question 17 View Details

Solve for x in the equation \(\frac{1}{x}\)\) + \(\frac{1}{x+1}\)\) = \(\frac{1}{2}\)\)

A. -1

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 18 View Details

Find the area under the curve \(y = 2x\^2 + 3x - 1\) from \(x = 0\) to \(x = 2\)

A. 13

B. 14

Correct C. 15

D. 16

Correct Answer: C

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Question 19 View Details

Solve the inequality |x - 2|\(> 3\)

Correct A. x < -1 or \(x > 5\)

B. \(x < 1\) or \(x > 5\)

C. x < -1 or \(x > 4\)

D. \(x < 1\) or \(x > 4\)

Correct Answer: A

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Question 20 View Details

Find the derivative of the function f(x) = \(3x^2 + 2x - 1\)

Correct A. 6x + 2

B. 6x - 2

C. 3x + 2

D. 3x - 2

Correct Answer: A

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Question 21 View Details

Find the volume of the frustum of a cone with height 6cm, lower base radius 4cm, and upper base radius 2cm.

A. 24π cm³

Correct B. 48π cm³

C. 96π cm³

D. 192π cm³

Correct Answer: B

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Question 22 View Details

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

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 23 View Details

A matrix A has elements \(a11 = 2\), \(a12 = 3\), \(a21 = 4\), \(a22 = 5\). Find the determinant of A.

A. -1

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 24 View Details

The mean of 5 numbers is 12. If one of the numbers is 15, find the sum of the other 4 numbers.

Correct A. 45

B. 50

C. 55

D. 60

Correct Answer: A

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Question 25 View Details

A histogram has a mean of 20 and a standard deviation of 5. Find the range of the histogram.

A. 10

B. 15

C. 20

Correct D. 25

Correct Answer: D

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