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Three Cubes

Can you work out the dimensions of the three cubes?

Nine Colours

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Marbles in a Box

How many winning lines can you make in a three-dimensional version of noughts and crosses?

The Spider and the Fly

Age 14 to 16 Challenge Level:

Sometimes problems like this are better "unwrapped". How about considering the net of the room?