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Timber!

How can the school caretaker be sure that the tree would miss the school buildings if it fell?

Fred the Class Robot

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?

Cartesian Isometric

The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?

Transformations on a Pegboard

Age 7 to 11
Challenge Level

Using a pegboard would be helpful, or if you don't have one, try using squared paper or this interactive geoboard.
What are the properties of a right-angled triangle?
Which peg have you tried to move?
Can you make the shape by moving a different peg instead?
Are there any other ways to do it?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.