POST UTME OSUSTECH 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24
B. 50.27
C. 50.29
D. 50.31
Question 2
Find the area under the curve $y = x^2$ from $x = 0$ to $x = 2$.
A. 8/3
B. 16/3
C. 32/3
D. 64/3
Question 3
Find the mean of the numbers $2, 4, 6, 8, 10$.
A. 6
B. 7
C. 8
D. 9
Question 4
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 5
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 6
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 7
Find the surface area of the solid formed by rotating the region bounded by the curves $y = x^2$ and $y = 4 - x^2$ about the x-axis.
A. 64\pi
B. 128\pi
C. 256\pi
D. 512\pi
Question 8
Find the value of x in the equation \( egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ 1 \end{bmatrix} = egin{bmatrix} 4 \ 4 \end{bmatrix} \).
A. 1
B. 2
C. 3
D. 4
Question 9
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 10
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 11
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 12
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 13
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \)
A. 1
B. -1
C. 2
D. 3
Question 14
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 15
A fair six-sided die is rolled. What is the probability that the number rolled is a multiple of 3?
A. \frac{1}{2}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{4}{5}

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