Squares

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?
game

Seeing Squares for Two

Age

5 to 11

Challenge level

Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
problem

Tangrams

Age

5 to 11

Challenge level

Can you make five differently sized squares from the interactive tangram pieces?
problem

Great Squares

Age

7 to 11

Challenge level

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