Perimeter

problem
Favourite

Changing Areas, Changing Perimeters

Age

11 to 14

Challenge level

1 out of 3

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?
problem
Favourite

Can They Be Equal?

Age

11 to 14

Challenge level

1 out of 3

Can you find rectangles where the value of the area is the same as the value of the perimeter?
problem
Favourite

Perimeter Possibilities

Age

11 to 14

Challenge level

1 out of 3

I'm thinking of a rectangle with an area of 24. What could its perimeter be?
problem
Favourite

Perimeter Challenge

Age

11 to 14

Challenge level

1 out of 3

Can you deduce the perimeters of the shapes from the information given?
problem
Favourite

On the Edge

Age

11 to 14

Challenge level

2 out of 3

If you move the tiles around, can you make squares with different coloured edges?
problem
Favourite

Warmsnug Double Glazing

Age

14 to 16

Challenge level

1 out of 3

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

Pick's Theorem

Age

14 to 16

Challenge level

2 out of 3

Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
problem

Coke Machine

Age

14 to 16

Challenge level

1 out of 3

The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...
problem

Squareflake

Age

16 to 18

Challenge level

2 out of 3

A finite area inside and infinite skin! You can paint the interior of this fractal with a small tin of paint but you could never get enough paint to paint the edge.
problem

Smaller and Smaller

Age

7 to 14

Challenge level

3 out of 3

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?