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?
list
Pythagoras' theorem and trigonometry
Working on these problems will help you develop a better understanding of Pythagoras' Theorem and trigonometry.
list
Perimeter, area and volume - Stage 4
Age
14 to 16
Challenge level
Working on these problems will help you develop a better understanding of perimeter, area and volume.
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Perimeter, area and volume - Stage 3
Age
11 to 14
Challenge level
Working on these problems will help you develop a better understanding of perimeter, area and volume.