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Surprised by Shapes


For these tasks, all you need to know is a little about area and perimeter.
Seemingly simple shapes can lead to intriguing questions and surprising results...


Triangles in a Square link

Triangles in a Square live

Stage: 3 Challenge Level: Challenge Level:1

What are the possible areas of triangles drawn in a square?

Perimeter Challenge link

Perimeter Challenge live

Stage: 3 Challenge Level: Challenge Level:1

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

Quadrilaterals in a Square link

Quadrilaterals in a Square live

Stage: 4 Challenge Level: Challenge Level:1

What's special about the area of quadrilaterals drawn in a square?

Garden Shed link

Garden Shed live

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you minimise the amount of wood needed to build the roof of my garden shed?