### Roll These Dice

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

### Taking a Die for a Walk

Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?

# The Path of the Dice

##### Age 7 to 11 Challenge Level:

You have an ordinary dice with $6$ faces:

In this game you can turn the dice onto any face which is already showing. Look at the $4$ ways this can be done:

In the grid below, you move the dice to another place by clicking on the direction arrow,
OR by clicking on the place you want to move to.

Can you work out the route from the start to the finishing position by turning the dice in this way?
How many ways can you find of doing it?
Can you explain this?

Starting in the same way, how many different finishing positions can you find? Make up your own routes for a friend.