### Next Size Up

The challenge for you is to make a string of six (or more!) graded cubes.

### Castles in the Middle

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

### Which Solid?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

# Three Sets of Cubes, Two Surfaces

##### Age 7 to 11Challenge Level
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 ...?"