POST UTME AL-HIKMAH UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the determinant of the matrix [ egin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} ].
A. 1
B. -1
C. 2
D. 3
Question 2
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 3
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. -2x/\( x^2+1 \)^3
B. 2x/\( x^2+1 \)^3
C. -2/\( x^2+1 \)^2
D. 2/\( x^2+1 \)^2
Question 4
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 5
A binary operation \( \oplus \) is defined as \( a \oplus b = a^2 + b^2 \). Find \( 2 \oplus 3 \).
A. 13
B. 17
C. 19
D. 21
Question 6
Solve the inequality \( x^2 - 6x + 8 > 0 \).
A. \( -\infty, 2 \) \cup \( 4, \infty \)
B. \( -\infty, 2 \) \cup \( 3, \infty \)
C. \( -\infty, 3 \) \cup \( 4, \infty \)
D. \( -\infty, 4 \) \cup \( 5, \infty \)
Question 7
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 8
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 9
Find the derivative of the function ( f(x) = 3x^2 + 2x - 5 ).
A. 6x + 2
B. 6x - 2
C. 3x^2 + 2
D. 3x^2 - 2
Question 10
Solve the system of equations u\sing substitution: [ egin{cases} x + 2y = 7 \ 2x - 3y = -2 \end{cases} ].
A. \( x = 1, y = 3 \)
B. \( x = 2, y = 1 \)
C. \( x = 3, y = -1 \)
D. \( x = -1, y = 3 \)
Question 11
Find the equation of the circle with center at (2, 3) and radius 4.
A. \boxed{\( x - 2 \)^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 12
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 13
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 14
Find the equation of the line pas\sing through the points [ (2,3) ] and [ (4,5) ].
A. \( y = \frac{1}{2}x + \frac{1}{2} \)
B. \( y = \frac{1}{2}x - \frac{1}{2} \)
C. \( y = 2x - 1 \)
D. \( y = 2x + 1 \)
Question 15
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 )

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: