Squares

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

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

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?
problem

A Square in a Circle

Age

7 to 11

Challenge level

What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?
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

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?