POST UTME LEAD CITY UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.
A. ( 18 ) cm^3
B. ( 24 ) cm^3
C. ( 36 ) cm^3
D. ( 72 ) cm^3
Question 2
Find the value of \log_2 (12) + \log_2 (3).
A. 4
B. 5
C. 6
D. 7
Question 3
Find the derivative of ( f(x) = \frac{x^2}{x+1} ) u\sing the quotient rule.
A. ( f'(x) = \frac{2x\( x+1 \) - x^2}{\( x+1 \)^2} )
B. ( f'(x) = \frac{x^2}{\( x+1 \)^2} )
C. ( f'(x) = \frac{2x}{x+1} )
D. ( f'(x) = \frac{x^2+1}{\( x+1 \)^2} )
Question 4
Solve the equation \sqrt{x + 5} - 2 = 3.
A. 16
B. 20
C. 24
D. 28
Question 5
A histogram has a mean of 25 and a s\tandard deviation of 5. Find the value of the median.
A. 20
B. 25
C. 30
D. 35
Question 6
A set of exam scores has a mean of 75 and a s\tandard deviation of 10. Find the z-score corresponding to a score of 85.
A. \( z = 0.5 \)
B. \( z = 1.0 \)
C. \( z = 1.5 \)
D. \( z = 2.0 \)
Question 7
Find the equation of the line pas\sing through the points ( (2,3) ) and ( (4,5) ).
A. \( y = \frac{1}{2}x + \frac{1}{2} \)
B. \( y = \frac{1}{2}x - \frac{1}{2} \)
C. \( y = 2x - 1 \)
D. \( y = 2x + 1 \)
Question 8
Find the equation of the circle with center at ((2,3)) and radius 4.
A. \( x^2 + y^2 - 4x - 6y + 13 = 0 \)
B. \( x^2 + y^2 - 8x - 12y + 25 = 0 \)
C. \( x^2 + y^2 + 4x + 6y + 13 = 0 \)
D. \( x^2 + y^2 + 8x + 12y + 25 = 0 \)
Question 9
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 10
A sequence is defined by the formula an = 2n + 1. Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
C. 25
D. 30

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