Squares

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
Diagonally square

Age

7 to 11

Challenge level

Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
problem
Square within a square within...

Age

11 to 14

Challenge level

What fraction of this square is shaded?
problem
A swiss sum

Age

16 to 18

Challenge level

Can you use the given image to say something about the sum of an infinite series?
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?
article
Peg and pin boards

This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
problem
Tiles on a size ten patio

Age

7 to 11

Challenge level

How many tiles could you use to cover this 10 by 10 patio?
problem
Polydron

Age

7 to 11

Challenge level

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

Age

11 to 14

Challenge level

Can you find the squares hidden on these coordinate grids?
problem
Data shapes

Age

5 to 7

Challenge level

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?