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Investigate the number of faces you can see when you arrange three cubes in different ways.

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Christmas Presents

We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?

Cube Drilling

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

When you drill your holes, can you picture which small cubes have got holes in them?
How many do you drill holes in?
Now think about your friend. Can you picture the small cubes that he or she drills holes in?
Are any of the cubes your friend drills ones that you've already drilled?
Are some of these cubes ones that you haven't already drilled?