POST UTME MADONNA UNIVERSITY 2020 Mathematics | Objective

Are you preparing for POST UTME MADONNA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
Correct A. ( 8 )
B. ( 16 )
C. ( 32 )
D. ( 64 )

Correct Answer: A

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Question 2
Solve the system of equations: \( egin{cases} x + y = 2 \ 2x - 3y = - 1 \end{cases} \).
Correct A. \( x = 1, y = 1 \)
B. \( x = 2, y = 0 \)
C. \( x = 0, y = 2 \)
D. \( x = - 1, y = 3 \)

Correct Answer: A

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Question 3
Find the determinant of the matrix \( egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 1 & 3 & 2 \end{bmatrix} \).
Correct A. ( 0 )
B. ( 1 )
C. ( 2 )
D. ( 3 )

Correct Answer: A

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Question 4
Solve the trigonometric equation: \( \sin^2 x + \cos^2 x = 1 \).
Correct A. \( x = \frac{pi}{4} \)
B. \( x = \frac{pi}{2} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = \frac{5pi}{4} \)

Correct Answer: A

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Question 5
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
Correct A. \( y = 2x - 1 \)
B. \( y = 2x + 1 \)
C. \( y = - 2x + 1 \)
D. \( y = 2x - 2 \)

Correct Answer: A

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Question 6
Determine 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
Find the sum of the first 10 terms of the geometric progression 3, 6, 12, 24, ...
Correct A. 1240
B. 1290
C. 1340
D. 1390

Correct Answer: A

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Question 8
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
Correct C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, 1 \) ∪ (3, ∞)

Correct Answer: C

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Question 9
A set A contains 5 elements. If 3 elements are randomly selected from set A, find the probability that the selected elements are all distinct.
A. 1/10
B. 1/5
Correct C. 3/10
D. 1/2

Correct Answer: C

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Question 10
A histogram represents the distribution of exam scores of 20 students. The histogram has 5 bars, each representing a different score range. The heights of the bars are 2, 3, 4, 5, and 6 units. Find the mean score of the students.
A. 4
B. 5
Correct C. 6
D. 7

Correct Answer: C

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Question 11
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. f'(x) = -2x/\( x^2 + 1 \)^2
Correct B. f'(x) = 2x/\( x^2 + 1 \)^2
C. f'(x) = -2/\( x^2 + 1 \)^2
D. f'(x) = 2/\( x^2 + 1 \)^2

Correct Answer: B

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Question 12
In the diagram below, 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
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
Correct A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, -3 \) ∪ (1, ∞) ∪ (3, ∞)
D. \( -∞, -1 \) ∪ \( -3, 1 \)

Correct Answer: A

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Question 14
Find the sum of the first 5 terms of the geometric progression 3, 6, 12, ...
Correct A. 255
B. 256
C. 257
D. 258

Correct Answer: A

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Question 15
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \).
A. 4
Correct B. 6
C. 8
D. 10

Correct Answer: B

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Question 16
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 17
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
Correct A. 1
B. 2
C. 3
D. 4

Correct Answer: A

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Question 18
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
Correct A. y = x + 1
B. y = x - 1
C. y = -x + 3
D. y = x - 3

Correct Answer: A

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Question 19
Find the sum of the first 5 terms of the arithmetic progression 1, 3, 5, ...
A. 25
B. 26
C. 27
D. 28

Correct Answer: VIEW ANSWER

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Question 20
Solve for 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 21
Find the value of \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} \).
Correct A. 1
B. 1/2
C. 3/4
D. 7/8

Correct Answer: A

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Question 22
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
Correct A. \( -∞, -3 \) ∪ (1, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)

Correct Answer: A

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Question 23
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 24
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
Correct A. 6
B. 12
C. 18
D. 24

Correct Answer: A

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Question 25
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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