POST UTME NOUN 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A rec\tangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Find the volume of the prism in cubic centimeters.
A. 120
B. 150
C. 180
D. 200
Question 2
A sphere has a radius of 7 cm. Find the volume of the sphere in cubic centimeters.
A. 1436.76
B. 1436.81
C. 1436.86
D. 1436.91
Question 3
Solve the system of equations \( x + y = 4 \) and \( x - 2y = -3 \) u\sing matrices.
A. \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 7 \ 1 \end{bmatrix}
B. \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 1 \ 7 \end{bmatrix}
C. \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 5 \ 3 \end{bmatrix}
D. \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 5 \end{bmatrix}
Question 4
A sequence is defined by the formula $a_n = 2n + 1$. Find the sum of the first 10 terms of the sequence.
A. 110
B. 120
C. 130
D. 140
Question 5
Find the equation of the circle pas\sing through the points (2, 3), (4, 1), and \( -1, 2 \).
A. x^2 + y^2 + 6x - 4y - 12 = 0
B. x^2 + y^2 - 6x + 4y - 12 = 0
C. x^2 + y^2 + 6x + 4y - 12 = 0
D. x^2 + y^2 - 6x - 4y - 12 = 0
Question 6
A car travels from city A to city B at an average speed of 60 km/h and returns at an average speed of 40 km/h. If the dis\tance between the two cities is 240 km, what is the average speed for the entire trip?
A. 48
B. 50
C. 52
D. 54
Question 7
Evaluate the definite integral \( \int_0^1 x^2 dx \).
A. \frac{1}{3}
B. \frac{1}{2}
C. \frac{2}{3}
D. \frac{3}{4}
Question 8
A cylinder has a radius of 6 cm and a height of 10 cm. Find the surface area of the cylinder in square centimeters.
A. 471.24
B. 471.29
C. 471.34
D. 471.39
Question 9
Let ( f(x) = \frac{x^2 - 4}{x - 2} ). Find \( lim_{x \to 2} f\( x \ \) ) u\sing the chain rule.
A. 4
B. 2
C. 0
D. undefined
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 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 11
Find the value of x in the equation \( \frac{1}{2}x + 5 = \frac{3}{4}x - 3 \)
A. 6
B. 8
C. 10
D. 12
Question 12
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 13
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 = x + 2
D. y = x - 2
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. 24\pi cm^3
B. 48\pi cm^3
C. 96\pi cm^3
D. 192\pi cm^3
Question 15
Solve the inequality \(\log_2 \( x^2 - 4 \) > 2\).
A. x > 2
B. x < -2
C. x > 4
D. x < -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: