POST UTME MADONNA UNIVERSITY 2018 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 2018 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 2
Evaluate the definite integral \( int_{0}^{2} \( 2x^3 - 3x^2 + x - 1 \ \) dx ).
A. ( 2 )
B. ( 4 )
Correct C. ( 6 )
D. ( 8 )

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 3
A set of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score will be between 60 and 90?
A. ( 0.9544 )
Correct B. ( 0.9772 )
C. ( 0.9987 )
D. ( 0.9999 )

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 4
Find the derivative of the function ( f(x) = \sqrt{2x^2 + 3x - 1} ) u\sing the chain rule.
Correct A. ( f'(x) = \frac{4x + 3}{\sqrt{2x^2 + 3x - 1}} )
B. ( f'(x) = \frac{2x + 1}{\sqrt{2x^2 + 3x - 1}} )
C. ( f'(x) = \frac{4x + 3}{2x^2 + 3x - 1} )
D. ( f'(x) = \frac{2x + 1}{2x^2 + 3x - 1} )

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 5
Solve the system of linear equations u\sing the method of substitution: \( 2x + 3y = 7 \) and \( x - 2y = -3 \).
Correct A. \( x = 2, y = 1 \)
B. \( x = 1, y = 2 \)
C. \( x = 2, y = -1 \)
D. \( x = 1, y = -2 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 6
In a quadratic equation of the form \( ax^2 + bx + c = 0 \), if the sum of the roots is 6 and the product of the roots is 12, find the equation.
Correct A. \( x^2 - 6x + 12 = 0 \)
B. \( x^2 + 6x + 12 = 0 \)
C. \( x^2 - 12x + 6 = 0 \)
D. \( x^2 + 12x + 6 = 0 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 7
A circle has a radius of 4 cm. If a chord is drawn such that the dis\tance from the center of the circle to the chord is 3 cm, find the length of the chord.
A. 5 cm
Correct B. 6 cm
C. 7 cm
D. 8 cm

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 8
A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability that it is blue?
A. 1/3
Correct B. 1/4
C. 1/5
D. 2/5

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 9
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
Correct A. 32
B. 64
C. 128
D. 256

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 10
A line passes through the points ( (2, 3) ) and ( (4, 5) ). Find the equation of the line.
Correct A. \( y = x + 1 \)
B. \( y = x - 1 \)
C. \( y = -x + 1 \)
D. \( y = x + 2 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 11
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
Correct C. 60
D. 70

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 12
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
Correct A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, -3 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup \( 3, \infty \)
D. \( -\infty, -3 \) \cup \( 1, \infty \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 13
A vector ( mathbf{a} ) has components \( a_1 = 2 \) and \( a_2 = 3 \). Find the magnitude of the vector.
A. 3.60555
Correct B. 4.1231
C. 5.19615
D. 6.32455

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 14
A histogram has a mean of 25 and a s\tandard deviation of 5. Find the value of the 80th percentile.
A. 30
B. 32
Correct C. 35
D. 40

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 15
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
Correct A. \( -2, 0 \)
B. \( -1, 1 \)
C. \( -2, 2 \)
D. \( -1, -1 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 16
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{x}} ) u\sing the chain rule.
A. ( f'(x) = -\frac{1}{2}x^{-\frac{3}{2}} )
Correct B. ( f'(x) = \frac{1}{2}x^{-\frac{3}{2}} )
C. ( f'(x) = \frac{1}{\sqrt{x}} )
D. ( f'(x) = -\frac{1}{x^{\frac{3}{2}}} )

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 17
Solve the inequality \( 2x^2 - 5x - 3 > 0 \).
Correct A. \( x < -\frac{3}{2} \) or \( x > \frac{3}{2} \)
B. \( x < -\frac{3}{2} \) or \( x < \frac{3}{2} \)
C. \( x > -\frac{3}{2} \) or \( x < \frac{3}{2} \)
D. \( x < -\frac{3}{2} \) or \( x > \frac{3}{2} \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 18
Find the sum of the first 5 terms of the geometric series \( 2x + 4x^2 + 8x^3 + ... \).
Correct A. \( 2x + 4x^2 + 8x^3 + 16x^4 + 32x^5 \)
B. \( 2x + 4x^2 + 8x^3 + 16x^4 \)
C. \( 2x + 4x^2 + 8x^3 + 16x^4 + 32x^5 + 64x^6 \)
D. \( 2x + 4x^2 + 8x^3 + 16x^4 + 32x^5 + 64x^6 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 19
Solve the matrix equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
Correct A. \( x = 2, y = 3 \)
B. \( x = 3, y = 2 \)
C. \( x = 1, y = 4 \)
D. \( x = 4, y = 1 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 20
Find the value of ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. \( x = 10 \)
Correct B. \( x = 100 \)
C. \( x = 1000 \)
D. \( x = 10000 \)

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 21
Solve the inequality \( \frac{x}{x-2} > 1 \) for \( x > 2 \).
A. 2 < x < 3
Correct B. x > 3
C. x < 2
D. x = 3

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 22
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 3 \).
A. 36
B. 45
Correct C. 54
D. 63

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 23
Solve the system of equations u\sing matrices: \( 2x + 3y = 7 \) and \( x - 2y = -3 \).
Correct A. \begin{bmatrix} 1 \ 2 \end{bmatrix}
B. \begin{bmatrix} 2 \ -1 \end{bmatrix}
C. \begin{bmatrix} -1 \ 1 \end{bmatrix}
D. \begin{bmatrix} 0 \ 0 \end{bmatrix}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 24
Find the sum of the first 10 terms of the geometric series \( 2x^2 + 3x - 1 \) with common ratio \( r = -2 \).
A. 0
B. 1
Correct C. -1
D. 2

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 25
Find the determinant of the matrix \( \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
Correct A. 0
B. 1
C. 2
D. 3

Correct Answer: A

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