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4) Eric dropped a ball from his deck. On the 1st bounce it bounced up one-half the distance of the
drop and fell back to the ground. On the 2nd bounce it bounced one-third the distance of the 1st
bounce and fell back to the ground. On the 3rd bounce it bounced one-fourth of the distance of the 2nd bounce and fell back to the ground. On the 4th bounce it bounced one-fifth of the distance of the 3rd bounce and fell one inch to the ground before rolling away. How high off the ground was
the ball when Eric dropped it? |
Work this problem backwards:
1. Since the 4th bounce fell ____ inch to the ground,
that was the height of the 4th bounce.
2. If the 4th bounce was 1/5 of the 3rd bounce,
then the 3rd bounce was _____ inches high.
3. If the 3rd bounce was 1/4 of the 2nd bounce,
then the 2nd bounce was _____inches high.
4. If the 2nd bounce was 1/3 of the 1st bounce,
then the 1st bounce was ____ inches high.
5. This 1st bounce was 1/2 of the deck height,
so the height when Eric dropped the ball was _____ inches.
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5) Susan set a whole pizza in a circular pan on the dinner table. Sam took one fourth of the pizza.
Keenan took half of what was left. Miguel then cut one third of what remained. What portion of
the pizza is left in the pan? Express your answer as a fraction in lowest terms (i.e. as a reduced fraction) . |
1. If Sam took 1/4 of the pizza, that left _____ of the pizza.
2. If Keenan took half of that, he left _____ of the pizza.
3. If Miguel then took 1/3 of that, then what was left was _____
4. Reduced, it is ________ of the pizza.
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