POST UTME IGBINEDION UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 2
A matrix A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} is multiplied by a scalar k. Find the value of k such that the product is a scalar matrix.
A. 2
B. 3
C. 4
D. 5
Question 3
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 4
Solve the quadratic equation x^2 + 5x + 6 = 0.
A. -2
B. -3
C. -4
D. -5
Question 5
In the diagram below, what is 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 = 32
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 64
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 128
Question 6
In the triangle ABC, angle A = 30°, angle B = 60°, and side AB = 6 cm. Find the length of side AC.
A. 4\sqrt{3} cm
B. 6\sqrt{3} cm
C. 8\sqrt{3} cm
D. 12\sqrt{3} cm
Question 7
Given the vectors u = egin{bmatrix} 1 \ 2 \end{bmatrix} and v = egin{bmatrix} 3 \ 4 \end{bmatrix}, find the dot product of u and v.
A. 11
B. 13
C. 15
D. 17
Question 8
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. 48\pi cm^3
B. 64\pi cm^3
C. 96\pi cm^3
D. 128\pi cm^3
Question 9
Solve the equation \sin^2 x + \cos^2 x = 1.
A. x = \frac{π}{4}
B. x = \frac{π}{4} \text{ or } x = \frac{3π}{4}
C. x = \frac{π}{4} \text{ or } x = \frac{3π}{4} \text{ or } x = \frac{5π}{4}
D. x = \frac{π}{4} \text{ or } x = \frac{3π}{4} \text{ or } x = \frac{5π}{4} \text{ or } x = \frac{7π}{4}
Question 10
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 11
Given the matrix A = egin{bmatrix} 2 & 1 \ 3 & 2 \end{bmatrix}, find the determinant of A.
A. 1
B. 2
C. 3
D. 4
Question 12
A number is chosen at random from the set {1, 2, 3, 4, 5, 6}. What is the probability that the number chosen is even?
A. 1/2
B. 2/3
C. 3/4
D. 4/5
Question 13
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 14
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, 3 \) ∪ (1, ∞)
Question 15
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

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