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Coloured Edges
Age 11 to 14
Challenge Level 
| There is a set of tiles which are all different and coloured just on the edges. Each edge on a tile is a different colour. For example: |
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| Altogether $10$ different colours are used for the edges, and there is an equal number of edges of each colour used throughout the set. |
| The whole set of tiles is used to make a square. This has a green and blue border. There are no green or blue tiles anywhere in the square except on this border. |
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| How many tiles are there in the set? |
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