POST UTME CRAWFORD UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. \( \frac{1}{4} \)
B. \( \frac{1}{2} \)
C. \( \frac{3}{5} \)
D. \( \frac{2}{3} \)
Question 2
Find the volume of the frustum of a cone with height 6cm, lower base radius 4cm, and upper base radius 2cm.
A. 24π cm³
B. 48π cm³
C. 96π cm³
D. 192π cm³
Question 3
In the number base $8$, what is the value of the expression $[5]_8 + [7]_8$?
A. 12
B. 14
C. 16
D. 18
Question 4
Find the value of ( x ) in the equation \( x^2 + 4x + 4 = 0 \).
A. -2
B. -1
C. 0
D. 1
Question 5
A set of exam scores has a mean of 80 and a s\tandard deviation of 10. Find the z-score of a score of 90.
A. 0.5
B. 1
C. 1.5
D. 2
Question 6
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find its volume.
A. 30
B. 40
C. 50
D. 60
Question 7
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. ( f'(x) = \frac{-2x}{\( x^2 + 1 \)^2} )
B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} )
C. ( f'(x) = \frac{-x}{\( x^2 + 1 \)^2} )
D. ( f'(x) = \frac{x}{\( x^2 + 1 \)^2} )
Question 8
Find the sum of the first 5 terms of the geometric progression ( 2, 6, 18, ... ).
A. ( 62 )
B. ( 64 )
C. ( 66 )
D. ( 68 )
Question 9
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 4 \) from \( x = 1 \) to \( x = 3 \).
A. 20
B. 30
C. 40
D. 50
Question 10
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. 1
B. 2
C. 3
D. 4
Question 11
Solve for x: \log_{10} \( x^2 \) = 4.
A. 10
B. 100
C. 1000
D. 10000
Question 12
Solve the inequality: 2x^2 + 5x - 3 > 0.
A. x < -1 or x > \frac{3}{2}
B. x > -1 or x < \frac{3}{2}
C. x < -1 or x < \frac{3}{2}
D. x > -1 or x > \frac{3}{2}
Question 13
Solve the system of equations \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 7 \end{bmatrix} \).
A. \( x = 1, y = 2 \)
B. \( x = 2, y = 1 \)
C. \( x = 3, y = 4 \)
D. \( x = 4, y = 3 \)
Question 14
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. 2
C. 3
D. 4
Question 15
Find the area of the triangle with vertices (0, 0), (4, 0), and (0, 3).
A. 6
B. 8
C. 10
D. 12

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