POST UTME UNIBEN 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In the diagram below, ( AB ) is a diameter of the circle with center ( O ). If \( ∠AOB = 60^{circ} \), find the measure of ( ∠ACB ).
A. 30^{circ}
B. 45^{circ}
C. 60^{circ}
D. 90^{circ}
Question 2
Find the volume of the frustum of a cone with height 6cm, lower base radius 4cm, and upper base radius 2cm.
A. 30π cm³
B. 60π cm³
C. 90π cm³
D. 120π cm³
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 = 16 \)
C. \( x + 2 \ \)^2 + \( y + 3 \)^2 = 16 \)
D. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 \)
Question 4
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3
B. x < 1 or x > 3
C. x < -3 or x > 1
D. x < 3 or x > 1
Question 5
A set A contains the elements {1, 2, 3, 4, 5}. Find the number of subsets of A that contain exactly two elements.
A. 10
B. 15
C. 20
D. 25
Question 6
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. \( y = 2x - 1 \)
B. \( y = 2x + 1 \)
C. \( y = -2x + 1 \)
D. \( y = -2x - 1 \)
Question 7
Solve for x in the equation \( x^2 + 5x + 6 = 0 \).
A. -2
B. -3
C. 1
D. 2
Question 8
Solve for x in the equation \( x^2 + 5x + 6 = 0 \).
A. \( x = -2 \)
B. \( x = -3 \)
C. \( x = 2 \)
D. \( x = 3 \)
Question 9
Find the sum of the first 5 terms of the geometric series ( 2, 6, 18, 54, ... ).
A. 120
B. 150
C. 180
D. 200
Question 10
Find the determinant of the matrix \( \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. 2
C. 3
D. 4
Question 11
A sequence is defined by the formula \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 20
B. 30
C. 40
D. 50
Question 12
Solve for x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \).
A. \( x = -10 \)
B. \( x = 1 \)
C. \( x = -1 \)
D. \( x = 2 \)
Question 13
Solve the quadratic equation \frac{x^2 + 2x - 3}{x + 1} = 0.
A. x = -3
B. x = 1
C. x = -1
D. x = 2
Question 14
Solve the inequality \( 2x^2 - 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > 3 \)
B. \( x < 1 \) or \( x > 3 \)
C. \( x < -1 \) or \( x < 3 \)
D. \( x > 1 \) or \( x > 3 \)
Question 15
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \ \) or \( x > \frac{3}{2} \ \)
B. \( x < -1 \ \) or \( x < \frac{3}{2} \ \)
C. \( x > -1 \ \) or \( x < \frac{3}{2} \ \)
D. \( x > -1 \ \) or \( x > \frac{3}{2} \ \)

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