Squares

problem

Cut and Make

Age

7 to 11

Challenge level

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?
problem

Overlapping Squares

Age

7 to 11

Challenge level

Have a good look at these images. Can you describe what is happening? There are plenty more images like this on NRICH's Exploring Squares CD.
problem

Polydron

Age

7 to 11

Challenge level

This activity investigates how you might make squares and pentominoes from Polydron.
problem

Triangle in a Square

Age

7 to 11

Challenge level

Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
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

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

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

Rope Mat

Age

7 to 11

Challenge level

How many centimetres of rope will I need to make another mat just like the one I have here?
problem

Diagrams

Age

7 to 11

Challenge level

A group activity using visualisation of squares and triangles.
problem

Inside Seven Squares

Age

7 to 11

Challenge level

What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?