Problem 1 :
Two right circular cylinders A and B have the same volume. The radius of cylinder A is 20% longer than the radius of cylinder B. Which of the following statements correctly describes the relationship between the heights of the two cylinders?
A) The height of cylinder B is 14% greater than the height of cylinder A.
B) The height of cylinder B is 20% greater than the height of cylinder A.
C) The height of cylinder B is 24% greater than the height of cylinder A.
D) The height of cylinder B is 44% greater than the height of cylinder A.
Solution :
Problem 2 :
Lianna plays a card game in which she gets 5 points for every red card she draws, but loses 10 points for every black card she draws. By the end of the game, Lianna drew 7 times as many red cards as black cards for a final total of 75 points. How many red cards did she draw during the game?
Solution :
Problem 3 :
In the figure above AB, BC, CD, DE and EA are line segments. What is the value of x + y?
Solution :
Problem 4 :
In the figure above, points A, B and D lie on the same line. If AB = 18, BE = 8 and DE = 6, what is the value of sin A?
Solution :
Problem 5 :
The difference between two numbers is 30. One of the numbers, x, is 20% less than the other number. What is the value of x?
Solution :
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