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?

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

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

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

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

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

Can you draw a square in which the perimeter is numerically equal to the area?

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

Use the information on these cards to draw the shape that is being described.

Look at the mathematics that is all around us - this circular window is a wonderful example.

Can you put these shapes in order of size? Start with the smallest.

Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?