POST UTME WELLSPRING UNIVERSITY 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 = 4 )
C. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 9 )
D. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 25 )
Question 2
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 )
B. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 )
C. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 )
D. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 )
Question 3
A curve is defined by the equation \( y = \frac{1}{x} \). Find the area under the curve from \( x = 1 \) to \( x = 2 \).
A. ( ln(2) - ln(1) )
B. ( ln(2) - ln(1) )
C. ( ln(2) - ln(1) )
D. ( ln(2) - ln(1) )
Question 4
Solve the equation \( \log_{10} \( x^2 \ \) = 4 \).
A. 10
B. 100
C. 1000
D. 10000
Question 5
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. \( x = 2 \)
B. \( x = 3 \)
C. \( x = 4 \)
D. \( x = 5 \)
Question 6
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.8413
B. 0.8413
C. 0.8413
D. 0.8413
Question 7
A polynomial function is defined as ( f(x) = 2x^3 - 5x^2 + 7x - 1 ). Find the derivative of ( f(x) ) u\sing the power rule.
A. ( f'(x) = 6x^2 - 10x + 7 \)
B. ( f'(x) = 6x^2 - 10x - 7 \)
C. ( f'(x) = 6x^2 + 10x + 7 \)
D. ( f'(x) = 6x^2 + 10x - 7 \)
Question 8
A curve is shown below. Find the area under the curve between \( x = 0 \) and \( x = 2 \).
A. 2
B. 4
C. 6
D. 8
Question 9
A histogram of exam scores is shown below. If the mean score is 75, what is the median score?
A. 70
B. 75
C. 80
D. 85
Question 10
Let ( f(x) = \frac{1}{x^2 + 1} ). Find the derivative of ( f(x) ) 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{-1}{\( x^2 + 1 \)^2} \)
D. ( f'(x) = \frac{1}{\( x^2 + 1 \)^2} \)

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