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...
problem
Triangles in a square
Age
11 to 14
Challenge level
What are the possible areas of triangles drawn in a square?
problem
Perimeter challenge
Age
11 to 14
Challenge level
Can you deduce the perimeters of the shapes from the information given?
problem
Quadrilaterals in a square
Age
11 to 14
Challenge level
What's special about the area of quadrilaterals drawn in a square?
problem
Garden shed
Age
11 to 14
Challenge level
Can you minimise the amount of wood needed to build the roof of my garden shed?