POST UTME OSUSTECH 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the circle with center ( (2, 3) ) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 3 \)^2 + \( y - 2 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 3 \)^2 + \( y + 2 \)^2 = 16
Question 2
Solve the equation $\frac{1}{x} + \frac{1}{x+1} = \frac{1}{2}$.
A. x = -1
B. x = 1
C. x = -2
D. x = 2
Question 3
Solve the system of equations \( egin{cases} x + y = 2 \ 2x - 3y = - 1 \end{cases} \).
A. x = 1, y = 1
B. x = 1, y = -1
C. x = -1, y = 1
D. x = -1, y = -1
Question 4
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, -3 \) \cup \( 1, \infty \)
C. \( -\infty, -2 \) \cup \( 2, \infty \)
D. \( -\infty, 1 \) \cup \( 3, \infty \)
Question 5
Find the determinant of the matrix \[ \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \].
A. 0
B. -1
C. 1
D. 2
Question 6
Find the volume of the solid formed by revolving the region bounded by the curves \( y = x^2 \) and \( y = 4 - x \) about the x-axis.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 7
Find the equation of the circle with center (2, 3) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 3 \)^2 + \( y - 2 \)^2 = 16
C. \( x - 4 \)^2 + \( y - 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 4 \)^2 = 16
Question 8
Find the area of the region bounded by the parabola y = x^2, the x-axis, and the line x = 3.
A. 9
B. 18
C. 27
D. 36
Question 9
Solve for y in the equation \( y = \frac{1}{2} \log_{10} \( x^2 \ \) ) where x = 10.
A. \( y = 1 \ \)
B. \( y = 2 \ \)
C. \( y = 3 \ \)
D. \( y = 4 \ \)
Question 10
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. -2
B. 0
C. 2
D. 4
Question 11
Find the equation of the line pas\sing through the points $\( -2, 3 \)$ and $\( 1, -2 \)$.
A. y = -x + 5
B. y = x + 1
C. y = -2x - 3
D. y = 2x - 1
Question 12
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 13
Solve the inequality \( x^2 - 4x + 3 > 0 \).
A. \( -\infty, 1 \) \cup \( 3, \infty \)
B. \( -\infty, 3 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup (1, 3)
D. \( -\infty, 3 \) \cup (3, 1)
Question 14
Find the equation of the line pas\sing through the points (2,3) and (4,5) in the coordinate plane.
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = -2x - 1
Question 15
Solve for x in the equation \( 2^x + 2^{x+2} = 3 \cdot 2^x \).
A. x = -1
B. x = 0
C. x = 1
D. x = 2

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: