POST UTME BELLS UNIVERSITY 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the surface area of a sphere with radius 4 cm.
A. 64\pi
B. 80\pi
C. 96\pi
D. 100\pi
Question 2
Find the area of the region bounded by the curves \( y = x^2 \) and \( y = 2x \) for \( 0 \leq x \leq 2 \).
A. 4
B. 6
C. 8
D. 10
Question 3
A particle moves along the x-axis with its position given by ( x(t) = 2t^3 - 5t^2 + 3t + 1 ). Find the velocity of the particle at time \( t = 2 \) seconds.
A. \( 12t^2 - 10t + 3 \)
B. \( 6t^2 - 10t + 3 \)
C. \( 12t^2 - 10t - 3 \)
D. \( 6t^2 - 10t - 3 \)
Question 4
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \).
A. x=\frac{\pi}{2}
B. x=\frac{\pi}{4}
C. x=\frac{3\pi}{4}
D. x=\frac{5\pi}{4}
Question 5
Find the area of a triangle with base 6 cm and height 8 cm.
A. 24
B. 30
C. 36
D. 48
Question 6
Solve the inequality \( x^2 - 4x + 4 > 0 \).
A. x > 2
B. x < 2
C. x > 1
D. x < 1
Question 7
Solve the matrix equation \( egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix} \).
A. x=1, y=2
B. x=2, y=1
C. x=1, y=1
D. x=2, y=2
Question 8
A histogram is constructed with 5 classes of equal width. The first class has a frequency of 5, the second class has a frequency of 7, the third class has a frequency of 3, the fourth class has a frequency of 2, and the fifth class has a frequency of 4. What is the mean of the histogram?
A. 4
B. 5
C. 6
D. 7
Question 9
Find the volume of a cylinder with radius 4 cm and height 6 cm.
A. 48\pi
B. 64\pi
C. 72\pi
D. 96\pi
Question 10
Solve the equation \( x^2 + 2x - 6 = 0 \) by factoring.
A. \( x + 3 \)\( x - 2 \) = 0
B. \( x + 2 \)\( x - 3 \) = 0
C. \( x - 3 \)\( x + 2 \) = 0
D. \( x - 2 \)\( x + 3 \) = 0
Question 11
Find the volume of the solid formed by revolving the region bounded by the parabola y = x^2, the x-axis, and the line x = 2 about the x-axis.
A. 32\pi
B. 64\pi
C. 128\pi
D. 256\pi
Question 12
Solve the inequality \( 2x - 5 > 3 \).
A. x > 4
B. x < 4
C. x > 2
D. x < 2
Question 13
Find the volume of the solid formed by revolving the region bounded by the curves \( y = x^2 \) and \( y = 2x \) about the x-axis.
A. \frac{4}{3}\pi
B. \frac{2}{3}\pi
C. \frac{1}{3}\pi
D. \frac{1}{2}\pi
Question 14
Find the volume of a cone with radius 3 cm and height 6 cm.
A. 18\pi
B. 24\pi
C. 30\pi
D. 36\pi
Question 15
Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].
A. 0
B. 1
C. 2
D. 3

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