POST UTME RSU 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( \frac{2x - 1}{x + 1} > 0 \) for \( x in \( -infty, infty \ \) ).
A. \( -infty, -1 \) cup (1, infty)
B. \( -infty, 0 \) cup (1, infty)
C. \( -infty, -1 \) cup (0, infty)
D. \( -infty, 0 \) cup \( -1, infty \)
Question 2
A 3x3 matrix A has the following elements: \[ A = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix} \]. Find the determinant of A.
A. 0
B. 1
C. 2
D. 3
Question 3
Solve the inequality 2x^2 + 5x - 3 > 0.
A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, -3 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup \( 3, \infty \)
D. \( -\infty, -3 \) \cup \( 1, \infty \)
Question 4
Find the determinant of the matrix \( \begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 5
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. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
D. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 4 )
Question 6
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 2) ).
A. 6
B. 8
C. 10
D. 12
Question 7
A vector \( \mathbf{a} = \begin{bmatrix} 2 \ 3 \ 4 \end{bmatrix} \) is given. Find the magnitude of the vector.
A. \sqrt{29}
B. \sqrt{31}
C. \sqrt{33}
D. \sqrt{35}
Question 8
A cube has a side length of 5 cm. Find the volume of the cube in cubic centimeters.
A. 125 cm^3
B. 250 cm^3
C. 500 cm^3
D. 1000 cm^3
Question 9
Solve the inequality \( \frac{x}{x+1} > \frac{2}{3} \) for \( x > -1 \).
A. x > 1
B. x > 2
C. x > 3
D. x > 4
Question 10
Solve the equation \( x^2 - 4x + 4 = 0 \).
A. x = 2
B. x = 4
C. x = 0
D. x = 1
Question 11
Find the area under the curve y = 2x^2 + 3x - 1 from x = 0 to x = 2.
A. 10
B. 12
C. 14
D. 16
Question 12
Let X and Y be indep\endent random variables with probability density functions f_X(x) = 2x, 0 < x < 1 and f_Y(y) = 3y^2, 0 < y < 1. Find the probability that X + Y < 1.
A. 1/4
B. 1/2
C. 3/4
D. 1
Question 13
Solve the equation \( \sin^2 x + \cos^2 x = 1 \) for x in the interval [0, \pi/2].
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{3\pi}{4}
D. \pi
Question 14
Find the sum of the first 10 terms of the geometric series \( 2x^2 + 3x - 1 \).
A. x^2 + 3x - 1
B. 2x^2 + 3x - 1
C. x^2 + 3x + 1
D. 2x^2 + 3x + 1
Question 15
Find the volume of the solid formed by revolving the region bounded by the curve \( y = \frac{1}{2}x^2 \) and the line \( y = 2 \) about the x-axis.
A. π
B. 2π
C. π/2
D. π/4

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: