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Perimeter and Area
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.
Fence It
Age 11 to 14
Challenge Level
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
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?
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?
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?
Perimeter Possibilities
Age 11 to 14
Challenge Level
I'm thinking of a rectangle with an area of 24. What could its perimeter be?