POST UTME AL-HIKMAH UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality [ 2x^2 + 3x - 1 > 0 ].
A. \( x < -\frac{1}{2} \) or [ x > \frac{1}{2} ]
B. \( x < -\frac{1}{2} \) or [ x < \frac{1}{2} ]
C. \( x > -\frac{1}{2} \) or [ x < \frac{1}{2} ]
D. \( x < -\frac{1}{2} \) or [ x > \frac{1}{2} ]
Question 2
A random experiment consists of rolling a fair six-sided die. If the outcome is an even number, the experiment is repeated. If the outcome is an odd number, the experiment is stopped. What is the probability that the experiment will be stopped on the first roll?
A. 1/2
B. 1/3
C. 2/3
D. 3/4
Question 3
A set of 5 consecutive integers has a median of 10. If the sum of the integers is 50, find the integers.
A. \( \{ 5, 6, 7, 8, 9 \} \ \)
B. \( \{ 6, 7, 8, 9, 10 \} \ \)
C. \( \{ 7, 8, 9, 10, 11 \} \ \)
D. \( \{ 8, 9, 10, 11, 12 \} \ \)
Question 4
Find the area under the curve [ y = \frac{1}{x^2 + 1} ] from [ x = 0 ] to [ x = 1 ].
A. \( \frac{pi}{2} \)
B. \( \frac{pi}{4} \)
C. \( \frac{pi}{6} \)
D. \( \frac{pi}{8} \)
Question 5
Find the sum of the first 10 terms of the geometric progression [ 2, 6, 18, 54, ldots ].
A. ( 1040 )
B. ( 1024 )
C. ( 1020 )
D. ( 1016 )
Question 6
Solve the system of equations [ x + y = 2, 2x - 3y = -3 ].
A. x = 1, y = 1
B. x = 2, y = 0
C. x = 0, y = 2
D. x = -1, y = 3
Question 7
Solve the system of equations u\sing matrices: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. x=3, y=2
B. x=2, y=3
C. x=1, y=4
D. x=4, y=1
Question 8
A histogram of exam scores is shown below. Find the mean score.
A. 50
B. 60
C. 70
D. 80
Question 9
Find the equation of the line pas\sing through points (2, 3) and (4, 5).
A. y - 3 = \frac{2}{2}\( x - 2 \)
B. y - 3 = \frac{2}{2}\( x - 4 \)
C. y - 5 = \frac{2}{2}\( x - 2 \)
D. y - 5 = \frac{2}{2}\( x - 4 \)
Question 10
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.
A. \( x = -2 \ \)
B. \( x = -3 \ \)
C. \( x = 2 \ \)
D. \( x = 3 \ \)
Question 11
Determine the value of x in the equation \( \frac{x}{2} + \frac{1}{3} = \frac{7}{12} \).
A. 4
B. 6
C. 8
D. 10
Question 12
Find the equation of the circle with center at ((0,0)) and radius 3.
A. \( x^2 + y^2 = 9 \)
B. \( x^2 + y^2 = 16 \)
C. \( x^2 + y^2 = 25 \)
D. \( x^2 + y^2 = 36 \)
Question 13
Find the surface area of the cylinder with radius 5 and height 10.
A. 100\pi
B. 200\pi
C. 300\pi
D. 400\pi
Question 14
Find the equation of the circle with center at ((2,3)) and radius 4.
A. \( x-2 \ \)^2 + \( y-3 \)^2 = 16 )
B. \( x-3 \ \)^2 + \( y-2 \)^2 = 16 )
C. \( x-4 \ \)^2 + \( y-3 \)^2 = 16 )
D. \( x-2 \ \)^2 + \( y-4 \)^2 = 16 )
Question 15
Find the determinant of the matrix [ egin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} ].
A. 1
B. -1
C. 2
D. 3

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: