Squares

problem
Great squares

Age

7 to 11

Challenge level

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.
problem
Making squares

Age

7 to 11

Challenge level

Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
problem
My new patio

Age

7 to 11

Challenge level

What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
problem
Tiles on a patio

Age

7 to 11

Challenge level

How many ways can you find of tiling the square patio, using square tiles of different sizes?
problem
Geoboards

Age

7 to 11

Challenge level

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
problem
Tangrams

Age

5 to 11

Challenge level

Can you make five differently sized squares from the interactive tangram pieces?
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Zooming in on the squares

Start with a large square, join the midpoints of its sides, you'll see four right angled triangles. Remove these triangles, a second square is left. Repeat the operation. What happens?
problem
Square surprise

Age

5 to 11

Challenge level

Why do you think that the red player chose that particular dot in this game of Seeing Squares?
problem
Always, sometimes or never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
problem
Paper patchwork 1

Age

5 to 7

Challenge level

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?