FlexiQuiz - Variation Quiz

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1. If two sides of a rectangle change in such a manner that the rectangle’s area remains constant, and one side increases by 25%, what must happen to the other side?

A) It decreases by 20%

B) It decreases by 25%

C) It decreases by 33.33%

D) It decreases by 50%

2. If 10 men can survive 24 days on 15 cans of rations, how many cans will be needed for 8 men to survive for 36 days?

3. If \(V=s^3\) and s is doubled what happens to the value of V?

A) No change is observed

B) V is doubled

C) V is multiplied by a factor of 4

D) V is multiplied by a factor of 8

4. If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what happens to the area of the rectangle?

A) It decreases by 4%

B) It remains the same

C) It increases by 24%

D) It increases by 76%

5. If Gear, A, is rotated by the motor at a rate of 100 revolutions per minute, what is the number of revolutions per minute for Gear C?

A) 50

B) 110

C) 200

D) 1000

6. The diagram above depicts two gears, G1 and G2. Gear G1, which has 48 teeth, turns clockwise at a rate of 60 rotations per second. If gear G2 has 36 teeth, which of the following statements is true?

A) Gear G2 turns clockwise at a rate of 45 rotations per second.

B) Gear G2 turns clockwise at a rate of 80 rotations per second.

C) Gear G2 turns counterclockwise at a rate of 45 rotations per second.

D) Gear G2 turns counterclockwise at a rate of 80 rotations per second.

Student Response

7. If y varies directly with the square of x, and if y = 4 when x = 3, what is y when x = 2?

8. The volume of wood in a tree (V) varies directly as the height (h) and the square of the girth (g). If the volume of a tree is 144 cubic meters (\(m^3\)) when the height is 20 meters and the girth is 1.5 meters, what is the height of a tree with a volume of 1000 and girth of 2 meters?

9. If it takes 16 faucets, 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?

10. Gear A has 72 teeth and gear B has 48 teeth. How many complete revolutions does gear A make when gear B makes 9 complete revolutions?

11. If x varies directly as y and inversely as z, and x=10, when y=5 and z=3, for what value of z will x=3 and y=4?

12. In the figure above gear A, which has 40 teeth, drives gear B, which has 30 teeth. If gear A makes 75 revolutions, how many revolutions does gear B make?

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Variation Quiz

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