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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


Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling. The lengths AE and ED are 1 unit and the length CD is 2 units. The angles B and E are right angles and the angles A, C and D are 120°.

Here is a printable copy for you to download, print and try yourself.

Here is an interactive that may help you.
Click on the grey shapes to create new tiles. You can rotate the pieces using the corner points.


Printable NRICH Roadshow resource.