Squares

Can you find the squares hidden on these coordinate grids?

What fraction of this square is shaded?

If you move the tiles around, can you make squares with different coloured edges?

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

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

Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.