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### Number and algebra

### Geometry and measure

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### Working mathematically

### For younger learners

### Advanced mathematics

# Ten Green Bottles

## Ten Green Bottles

### Why do this problem?

This problem is one which could be done quickly as an introduction when extending or revising work on time and clocks.

### Key questions

### Possible extension

Learners could find the equation for the $nth$ bottle falling.

### Possible support

Suggest using a real or model clock and counting.

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Age 7 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

Ten green bottles hanging on a wall
Ten green bottles hanging on a wall If one green bottle should accidentally fall There'd be nine green bottles hanging on the wall Nine green bottles ..... |

If the first bottle fell at ten past five in the morning ($5.10$ a.m.) and the others fell down at $5$ minute intervals, what would the time be when the last bottle fell down? |

When does the first bottle fall?

So when does the second bottle fall?

How many $5$ minutes are there between the first and tenth bottles falling?

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?