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Age 11 to 14 Short Challenge Level:
A ball is dropped from a height of 125 cm. Each time it hits the ground, it bounces to $\frac{3}{5}$ of the height from which it fell.
How high does it bounce after hitting the ground the third time?
This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.