POST UTME IGBINEDION UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In a circle with center O and radius 6, chord AB is 8 units long. Find the length of the line segment from O to the midpoint of AB.
A. 4√3
B. 6√3
C. 8√3
D. 10√3
Question 2
Solve the quadratic equation x^2 + 5x + 6 = 0.
A. -2
B. -3
C. -4
D. -5
Question 3
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 3 \).
A. ( 36 )
B. ( 48 )
C. ( 60 )
D. ( 72 )
Question 4
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 24\pi cm^3
B. 48\pi cm^3
C. 96\pi cm^3
D. 192\pi cm^3
Question 5
Solve the equation \( x^3 + 2x^2 - 7x + 12 = 0 \) u\sing the factor theorem.
A. x = 1
B. x = -1
C. x = 3
D. x = -3
Question 6
Find the equation of the circle with centre 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 + \( y-2 \)^2 = 16 )
D. \( x-2 \ \)^2 + \( y-4 \)^2 = 16 )
Question 7
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 = 20
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 24
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 28
Question 8
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 = 4
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 9
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
Question 9
A histogram is a graphical representation of the distribution of a continuous random variable. What is the main advantage of u\sing a histogram over a bar chart?
A. It allows for the visualization of the shape of the distribution
B. It is easier to read than a bar chart
C. It is more accurate than a bar chart
D. It is more versatile than a bar chart
Question 10
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 11
A particle moves along the curve y = x^2 + 1 with a velocity v(t) = 2t + 1. Find the acceleration at t = 2 seconds.
A. 5
B. 6
C. 7
D. 8
Question 12
A random experiment consists of rolling a fair six-sided die. What is the probability that the number rolled is greater than 4?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Question 13
In a set of 8 consecutive integers, the sum of the first 4 integers is 44. Find the sum of all 8 integers.
A. 88
B. 90
C. 92
D. 94
Question 14
Find the value of x in the equation \log_{10} \( x^2 \) = 4.
A. 10
B. 10^2
C. 10^4
D. 10^6
Question 15
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000

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