POST UTME RSU 2021 Mathematics | Objective

Are you preparing for POST UTME RSU 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
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
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
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
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
A rec\tangular 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
A histogram has a mean of 20 and a s\tandard 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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