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Tennis

A tennis ball is served from directly above the baseline (assume the ball travels in a straight line). What is the minimum height that the ball can be hit at to ensure it lands in the service area?

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Nine Colours

You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.

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Take Ten

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube made from 27 unit cubes so that the surface area of the remaining solid is the same as the surface area of the original 3 by 3 by 3 cube?

Soma - So Good

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

To submit your solutions you?ll need to have a way of recording how the pieces fit together. The seven pieces are numbered and coloured. You can fill in a table showing your solution and colour a sketch cube correspondingly. Click here to rotate the pieces.

1. cube 1 2. cube 2 3. cube 3
4. cube 4 5. cube 5
6. cube 6 7. cube 7
Top
5 5 2
5 1 2
1 1 2
Middle
7 5 2
4 4 3
6 4 4
Bottom
7 7 3
7 6 3
6 6 3
labelled cube