## Right or Left?

You may know that opposite faces of a dice add up to $7$, but did you know that there are two different types of dice?

Here are two dice, a right-handed one and a left-handed one:

Decide whether the dice below are right-handed or left-handed:

Now try these - they are more difficult.

This problem is taken from the book "Mathematical Activities from Poland" published by ATM.

### Why do this problem?

This problem encourages children to explore dice in more detail. Even though they may use them frequently, they may not have thought about a dice's properties before. They will be challenged to visualise the dice but making nets of cubes might also be helpful.

### Key questions

What do opposite sides of the dice add to?

Can you imagine turning the dice so that you can compare it with the pictures of the right-handed and left-handed dice more easily?

If the $1$ is at the top of the dice and the $2$ facing you, where is the $3$ on the right-handed dice/left-handed dice?

Have a look at the dice in our classroom, are they left-handed or right-handed?

### Possible support

If learners are having trouble with the visualisation and you don't have left-handed and right-handed dice, they could stick spots onto cubes to help. Alternatively, print off

this sheet which has a net of a right-hand dice on the first page and
a net of a left-handed dice on the second.