POST UTME MADONNA UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In the diagram below, find the equation of the circle with center \( -2, 3 \) and radius 4.
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
Question 2
Find the area under the curve \[ y = \frac{1}{x^2 + 1} \] from x = 0 to x = 1.
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{\pi}{3}
D. \frac{\pi}{6}
Question 3
Find the equation of the circle with center \( -2, 3 \) and radius 4.
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
Question 4
Solve the system of equations: \( egin{cases} x + y = 2 \ 2x - 3y = - 1 \end{cases} \).
A. \( x = 1, y = 1 \)
B. \( x = 2, y = 0 \)
C. \( x = 0, y = 2 \)
D. \( x = - 1, y = 3 \)
Question 5
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. ( 8 )
B. ( 16 )
C. ( 32 )
D. ( 64 )
Question 6
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 7
Solve the linear inequality \[ 2x - 3y > 5 \].
A. \begin{pmatrix} x > \frac{5}{2} \ y < \frac{2}{3}x - \frac{5}{3} \end{pmatrix}
B. \begin{pmatrix} x < \frac{5}{2} \ y > \frac{2}{3}x - \frac{5}{3} \end{pmatrix}
C. \begin{pmatrix} x > \frac{5}{2} \ y > \frac{2}{3}x - \frac{5}{3} \end{pmatrix}
D. \begin{pmatrix} x < \frac{5}{2} \ y < \frac{2}{3}x - \frac{5}{3} \end{pmatrix}
Question 8
Determine the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 9
Solve the system of equations \( x + y = 4 \) and \( x - y = 2 \).
A. x = 3, y = 1
B. x = 1, y = 3
C. x = 2, y = 2
D. x = 4, y = 0
Question 10
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, -3 \) ∪ (1, ∞) ∪ (3, ∞)
D. \( -∞, -1 \) ∪ \( -3, 1 \)
Question 11
Solve the trigonometric equation: \( \sin^2 x + \cos^2 x = 1 \).
A. \( x = \frac{pi}{4} \)
B. \( x = \frac{pi}{2} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = \frac{5pi}{4} \)
Question 12
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 60
C. 80
D. 100
Question 13
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \).
A. 4
B. 6
C. 8
D. 10
Question 14
Find the sum of the first 10 terms of the geometric progression 3, 6, 12, 24, ...
A. 1240
B. 1290
C. 1340
D. 1390
Question 15
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
B. f'(x) = 2x/\( x^2 + 1 \)^2
C. f'(x) = -2/\( x^2 + 1 \)^2
D. f'(x) = 2/\( x^2 + 1 \)^2

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: