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# Three Sets of Cubes, Two Surfaces

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Age 7 to 11

Challenge Level

- Problem
- Teachers' Resources

This can be used as a follow-on from Two on Five.

You have interlocking cubes of three different colours - 2 of one colour, 3 of another colour and 4 of the third colour.

It could look like this;

This is slightly different from Two on Five but is seen as an extension for some pupils. You might like to go there first!

The nine cubes are to be connected in the usual way with the following rules being applied.

**The two yellow cubes are not allowed to touch the wall or floor surfaces**

**The Three blue cubes must touch one surface only, the wall or the floor
The four red cubes must touch both wall and floor surfaces**

Here are two examples that obey the rules;

See what others you can find.

How many will there be?

At some point ask yourself "I wonder what would happen if I ...?"

Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?