POST UTME UNILAG 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
Question 4
Solve the equation \( x^2 + 4x + 4 = 0 \) by factoring.
A. \( x + 2 \ \)^2 = 0 )
B. \( x + 1 \ \)^2 = 0 )
C. \( x - 2 \ \)^2 = 0 )
D. \( x - 1 \ \)^2 = 0 )
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 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 7
Find the equation of the line pas\sing through the points $\( -2, 3 \)$ and $(1, 4)$.
A. y = x + 5
B. y = x - 1
C. y = x + 1
D. y = x - 5
Question 8
A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 35
B. 40
C. 45
D. 50
Question 9
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) by factoring.
A. \( x + 3 \)\( 2x - 1 \ \) > 0 )
B. \( x - 3 \)\( 2x + 1 \ \) > 0 )
C. \( x + 1 \)\( 2x - 3 \ \) > 0 )
D. \( x - 1 \)\( 2x + 3 \ \) > 0 )
Question 10
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 11
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 12
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the quadratic formula.
A. x < -1 or x > 3/2
B. x < 1 or x > -3/2
C. x < -3/2 or x > 1
D. x < 3/2 or x > -1
Question 13
Find the derivative of the function $f(x) = \frac{1}{x^2 + 1}$.
A. -\frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. -\frac{1}{\( x^2 + 1 \)^2}
D. \frac{1}{\( x^2 + 1 \)^2}
Question 14
Find the area under the curve y = x^2 + 2x + 1 from x = 0 to x = 3.
A. 27
B. 30
C. 33
D. 36
Question 15
A set of exam scores has a mean of 75 and a s\tandard deviation of 10. If a new score of 90 is added to the set, what is the new mean?
A. 76.5
B. 77.5
C. 78.5
D. 79.5

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