### Times

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!

### Clock Hands

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

### Ten Green Bottles

Do you know the rhyme about ten green bottles hanging on a wall? If the first bottle fell at ten past five and the others fell down at 5 minute intervals, what time would the last bottle fall down?

# The Hare and the Tortoise

## The Hare and the Tortoise

Most of you will know the story of the hare and the tortoise with the moral tag "slow and steady wins the race".

In this version

• The race is $10$ km (kilometres) long.
• The hare runs at $10$ times the speed of the tortoise.
• The tortoise take $2$ hours and $30$ minutes to complete the race.
• The hare arrives at the finish $30$ seconds after the tortoise.

For how long does the hare sleep?

### Why do this problem?

This problem could be used when distance and speed are being discussed or revised. There are several possible approaches to the problem so it could be useful for stimulating discussion. If learners work in pairs on the problem they are then able to talk through their ideas with a partner.

### Key questions

What is the speed of the tortoise? So what is the speed of the hare?

If the hare had not stopped, how long before the tortoise would it have arrived?

### Possible extension

Learners could make a graph of the race for the two animals.

### Possible support

Suggest finding out the speed of the tortoise which is a good starting point. (The speed is the number of kilometres in an hour that is travelled.)