POST UTME VERITAS UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the surface area of the sphere with radius 6 cm.
A. 288π cm²
B. 288π cm²
C. 288π cm²
D. 288π cm²
Question 2
A histogram shows the distribution of exam scores. What is the mean of the scores?
A. 50
B. 60
C. 70
D. 80
Question 3
A matrix A has elements a11 = 2, a12 = 3, a21 = 4, a22 = 5. Find the determinant of A.
A. -1
B. 1
C. 3
D. 5
Question 4
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \) u\sing integration.
A. 64
B. 16
C. 32
D. 48
Question 5
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for ( x ) in the interval ( [0, 2pi] ).
A. [0, \frac{pi}{2}, \pi, \frac{3pi}{2}]
B. [0, \pi, 2pi]
C. [\frac{pi}{2}, \pi, \frac{3pi}{2}]
D. [0, \frac{pi}{4}, \frac{3pi}{4}]
Question 6
In a right circular cone, the radius of the base is 6 cm and the height is 8 cm. Find the volume of the cone in cubic centimeters.
A. 288\pi
B. 384\pi
C. 576\pi
D. 768\pi
Question 7
A sequence is defined by the formula \( a_n = 2n + 1 \). Find the 10th term of the sequence.
A. 21
B. 22
C. 23
D. 24
Question 8
Solve for x in the equation \(\sin^2 x + \cos^2 x = 1\).
A. \(x = \frac{\pi}{4}\)
B. \(x = \frac{3\pi}{4}\)
C. \(x = \frac{5\pi}{4}\)
D. \(x = \frac{7\pi}{4}\)
Question 9
In a set of 5 integers, the sum of the first 3 integers is 15, and the sum of the last 2 integers is 8. Find the sum of all 5 integers.
A. 23
B. 25
C. 27
D. 29
Question 10
Find the sum of the first 10 terms of the geometric progression 3, 6, 12, 24, ...
A. 1230
B. 1240
C. 1250
D. 1260
Question 11
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 1 \end{bmatrix} \).
A. ( 0 )
B. ( 1 )
C. \( -1 \)
D. ( 2 )
Question 12
A sequence is defined by $a_n = \frac{2n + 1}{n^2 + 1}$. Find the sum of the first 5 terms of the sequence.
A. \frac{13}{6}
B. \frac{15}{8}
C. \frac{17}{10}
D. \frac{19}{12}
Question 13
Find the value of x in the equation \( x^3 - 6x^2 + 11x - 6 = 0 \) u\sing synthetic division.
A. 1
B. 2
C. 3
D. 4
Question 14
Solve the system of equations \( egin{cases} x + y = 4 \ 2x - 3y = -1 \end{cases} \).
A. \( x = 3, y = 1 \)
B. \( x = 1, y = 3 \)
C. \( x = 2, y = 2 \)
D. \( x = 4, y = 0 \)
Question 15
In the diagram below, what is the value of x?
A. 4
B. 5
C. 6
D. 7

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