Perimeter

problem
Favourite

Changing Areas, Changing Perimeters

Age

11 to 14

Challenge level

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

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

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

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

On the Edge

Age

11 to 14

Challenge level

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

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

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

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

Coins on a Plate

Age

11 to 14

Challenge level

Points A, B and C are the centres of three circles, each one of which touches the other two. Prove that the perimeter of the triangle ABC is equal to the diameter of the largest circle.
problem

Some(?) of the Parts

Age

14 to 16

Challenge level

A circle touches the lines OA, OB and AB where OA and OB are perpendicular. Show that the diameter of the circle is equal to the perimeter of the triangle