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
Paper halving

Age

5 to 11

Challenge level

In how many ways can you halve a piece of A4 paper? How do you know they are halves?
problem
Lawn border

Age

5 to 11

Challenge level

If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?
problem
Cutting it out

Age

5 to 11

Challenge level

I cut this square into two different shapes. What can you say about the relationship between them?
problem
Fit these shapes

Age

5 to 11

Challenge level

What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?
problem
Shaping it

Age

5 to 11

Challenge level

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
problem
Different sizes

Age

5 to 11

Challenge level

A simple visual exploration into halving and doubling.
problem
Always, sometimes or never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
problem
Fencing lambs

Age

7 to 11

Challenge level

A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
problem
Great squares

Age

7 to 11

Challenge level

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