Advanced MathVery hardHeight after three bounces
Advanced Math practice question
A ball is dropped from a height of 16 metres. After each bounce it rises to three quarters of the height from which it fell. To what height, in metres, does it rise after the third bounce?
Answer: 6.75 or 27/4
Each bounce multiplies the height by 3/4, so after three bounces the height is 16 × (3/4)³ = 16 × 27/64 = 6.75.
Common wrong answers
- If you answered 4
- 4 subtracts a quarter of 16 three times.
- If you answered 9
- 9 is the height after two bounces.
- If you answered 12
- 12 is the height after one bounce.
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