Area - squares and rectangles

problem
Wallpaper

Age

5 to 7

Challenge level

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?
problem
Torn shapes

Age

7 to 11

Challenge level

These rectangles have been torn. How many squares did each one have inside it before it was ripped?
problem
Sizing them up

Age

5 to 7

Challenge level

Can you put these shapes in order of size? Start with the smallest.
problem
More transformations on a pegboard

Age

7 to 11

Challenge level

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
problem
Warmsnug double glazing

Age

14 to 16

Challenge level

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
problem
Semicircle stack

Age

14 to 16

Challenge level

What is the total area enclosed by the three semicicles?
problem
Guillotine

Age

11 to 14

Challenge level

Weekly Problem 9 - 2006
What fraction of the area of the rectangle is shaded?
problem
Flower show

Age

14 to 16

Challenge level

How long will it take six gardeners to dig six circular flower beds?
problem
Sticky tape

Age

14 to 16

Challenge level

Work out the radius of a roll of adhesive tape.
problem
Trig rules OK

Age

16 to 18

Challenge level

Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...