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A triomino is a flat L shape made from 3 square tiles. A chess board is marked into squares the same size as the tiles and just one square, anywhere on the board, is coloured red. Can you cover the board with trionimoes so that only the square is exposed?

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Paving Paths

How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?

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LOGO Challenge 5 - Patch

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

Bow Tie

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2
You may find it helpful to cut out some accurately drawn tiles and experiment fitting them together or to cut out one tile to use as a template and to draw the tiling by drawing the outline of your template over and over again.

It may help to use the relationships: 2A+D=360° and 2C+D=360°.