Perimeter

problem
Favourite

Is There a Theorem?

Age

11 to 14

Challenge level

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?
problem
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Sizing Them Up

Age

5 to 7

Challenge level

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

Always, Sometimes or Never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
problem
Favourite

Area and Perimeter

Age

7 to 11

Challenge level

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

Dicey Perimeter, Dicey Area

Age

7 to 11

Challenge level

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?
problem
Favourite

Shape Draw

Age

7 to 11

Challenge level

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

Numerically Equal

Age

7 to 11

Challenge level

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

Shapes on the Playground

Age

7 to 11

Challenge level

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?
problem
Favourite

Through the Window

Age

7 to 11

Challenge level

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?
problem
Favourite

Perimeter Expressions

Age

11 to 14

Challenge level

Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?