POST UTME UNILAG 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the derivative of the function ( f(x) = \frac{1}{2x^2 + 3x - 1} ) u\sing the quotient rule.
A. \( \frac{-2x + 3}{\( 2x^2 + 3x - 1 \ \)^2} )
B. \( \frac{2x + 3}{\( 2x^2 + 3x - 1 \ \)^2} )
C. \( \frac{2x - 3}{\( 2x^2 + 3x - 1 \ \)^2} )
D. \( \frac{3x + 2}{\( 2x^2 + 3x - 1 \ \)^2} )
Question 2
A line passes through the points (2, 3) and (4, 5). Find the equation of the line in slope-intercept form.
A. y = x + 1
B. y = x - 1
C. y = -x + 1
D. y = x + 2
Question 3
A set ( A ) contains 5 elements, and a set ( B ) contains 3 elements. If ( A cap B ) contains 2 elements, find the number of elements in ( A cup B ).
A. 7
B. 8
C. 9
D. 10
Question 4
Solve the inequality \( \frac{x}{x-2} > 1 \) for \( x > 2 \).
A. \( x > 4 \)
B. \( x < 4 \)
C. ( x in (4, infty) )
D. \( x in \( -infty, 4 \ \) )
Question 5
Solve the equation $\log_2 \( x + 1 \) + \log_2 \( x - 1 \) = 2$.
A. 3
B. 4
C. 5
D. 6
Question 6
Find the value of $\int_0^1 \frac{1}{x^2 + 2x + 2} dx$.
A. 1/2
B. 1/3
C. 1/4
D. 1/5
Question 7
Let ( X ) be a random variable with probability density function ( f(x) = egin{cases} 2x, & 0 leq x leq 1 \ 0, & \text{otherwise} \end{cases} ). Find the probability that ( X ) takes a value greater than 0.5.
A. 0.25
B. 0.5
C. 0.75
D. 1
Question 8
Find the sum of the first 5 terms of the geometric progression ( 2, 6, 18, ... ).
A. 80
B. 90
C. 100
D. 110
Question 9
Solve the inequality \( x^2 - 4x - 5 > 0 \) by factoring.
A. \( x - 5 \)\( x + 1 \ \) > 0 )
B. \( x + 5 \)\( x - 1 \ \) > 0 )
C. \( x - 1 \)\( x + 5 \ \) > 0 )
D. \( x + 1 \)\( x - 5 \ \) > 0 )
Question 10
Find the derivative of the function $f(x) = \frac{x^2}{x^2 + 1}$.
A. 1 - \frac{2x^2}{\( x^2 + 1 \)^2}
B. 1 + \frac{2x^2}{\( x^2 + 1 \)^2}
C. \frac{2x}{x^2 + 1}
D. \frac{2x^2}{\( x^2 + 1 \)^2}
Question 11
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \ \) u\sing the quadratic formula.
A. x = -2
B. x = 0
C. x = 2
D. x = -4
Question 12
Find the volume of the solid formed by revolving the region bounded by the curves $y = x^2$ and $y = 2x$ about the x-axis.
A. \frac{4}{3}\pi
B. \frac{2}{3}\pi
C. \frac{1}{3}\pi
D. \frac{1}{2}\pi
Question 13
A binary operation ( odot ) is defined as \( a odot b = ab^2 \). Find ( 2 odot 3 ).
A. 6
B. 12
C. 18
D. 24
Question 14
Find the area under the curve \( y = \frac{1}{x^2} \) from \( x = 1 \) to \( x = 2 \).
A. \( \frac{1}{2} \)
B. \( \frac{1}{3} \)
C. \( \frac{1}{4} \)
D. \( \frac{1}{5} \)
Question 15
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

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: