Problem 1 :
Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall, in feet, is the other tree?
A) 3
B) 4
C) 8
D) 27
Solution :
Problem 2 :
The length of a rectangle’s diagonal is 5√17 , and the length of the rectangle’s shorter side is 5. What is the length of the rectangle’s longer side?
A) √17
B) 20
C) 15√2
D) 400
Solution :
Problem 3 :
A circle has center O, and points A and B lie on the circle. The measure of arc AB is 45° and the length of arc AB is 3 inches. What is the circumference, in inches, of the circle?
A) 3
B) 6
C) 9
D) 24
Solution :
Problem 4 :
The total cost, in dollars, to rent a surfboard consists of a $25 service fee and a $10 per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximum of dollar $75 to rent the surfboard. Which inequality represents this situation?
A) 10t ≤ 75
B) 10 + 25t ≤ 75
C) 25t ≤ 75
D) 25 + 10t ≤ 75
Solution :
Problem 5 :
The function g is defined by g(x) = x^{2} + 9. For which value of x is g(x) = 25?
A) 4
B) 5
C) 9
D) 13
Solution :
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