Surprised by Shapes

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 

Age 11 to 14
Challenge Level
What are the possible areas of triangles drawn in a square?

Perimeter Challenge 

Age 11 to 14
Challenge Level
Can you deduce the perimeters of the shapes from the information given?

Quadrilaterals in a Square 

Age 11 to 14
Challenge Level
What's special about the area of quadrilaterals drawn in a square?

Garden Shed 

Age 11 to 14
Challenge Level
Can you minimise the amount of wood needed to build the roof of my garden shed?