List

Perimeter and Area

Blue and White
problem
Favourite

Blue and White

Age
11 to 14
Challenge level
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Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?
Triangles and petals
problem
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Triangles and petals

Age
14 to 16
Challenge level
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An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?
An Unusual Shape
problem
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An Unusual Shape

Age
11 to 14
Challenge level
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Can you maximise the area available to a grazing goat?
Curvy areas
problem
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Curvy areas

Age
14 to 16
Challenge level
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Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
Track design
problem
Favourite

Track design

Age
14 to 16
Challenge level
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Where should runners start the 200m race so that they have all run the same distance by the finish?