POST UTME CRAWFORD UNIVERSITY 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the system of equations \( x + y = 2, x - 2y = -3 \).
A. x = 1, y = 1
B. x = 1, y = -1
C. x = -1, y = 1
D. x = -1, y = -1
Question 2
Find the sum of the first 5 terms of the geometric series with first term 2 and common ratio 3.
A. 242
B. 242
C. 242
D. 242
Question 3
Solve the equation 2x^2 + 5x - 3 = 0 u\sing the quadratic formula.
A. 1
B. -1
C. 2
D. -2
Question 4
Find the derivative of the function f(x) = 3x^2 + 2x - 5.
A. 6x + 2
B. 6x - 2
C. 3x + 2
D. 3x - 2
Question 5
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, -3 \) ∪ \( -1, ∞ \)
D. \( -∞, -1 \) ∪ (1, ∞)
Question 6
If ( f(x) = \frac{x^2 - 4}{x - 2} ), find ( f'(x) ) u\sing the chain rule.
A. ( f'(x) = \frac{x^2 - 4}{\( x - 2 \)^2} )
B. ( f'(x) = \frac{2x}{\( x - 2 \)^2} )
C. ( f'(x) = \frac{x^2 - 4}{\( x - 2 \)^3} )
D. ( f'(x) = \frac{2x^2}{\( x - 2 \)^2} )
Question 7
Find the derivative of the function ( f(x) = \sin^2(x) ) u\sing the chain rule.
A. 2\sin\( x)\cos(x \)
B. -2\sin\( x)\cos(x \)
C. 2\sin^2\( x)\cos(x \)
D. -2\sin^2\( x)\cos(x \)
Question 8
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 9
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 32
B. 64
C. 96
D. 128
Question 10
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 3 \).
A. 27
B. 30
C. 33
D. 36
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 = 25 )
C. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 36 )
D. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 49 )
Question 12
A set of exam scores has a mean of 75 and a s\tandard deviation of 10. What is the z-score of a score of 85?
A. 0.5
B. 1
C. 1.5
D. 2
Question 13
Two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).
A. 0.12
B. 0.24
C. 0.36
D. 0.48
Question 14
Find the mean and s\tandard deviation of the data set ( { 2, 4, 6, 8, 10 } ).
A. mean = 6, std dev = 2
B. mean = 4, std dev = 2
C. mean = 2, std dev = 4
D. mean = 8, std dev = 6
Question 15
A circle has a diameter of 10 cm. Find the area of the circle.
A. 50
B. 75
C. 100
D. 125

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