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Chain of Changes

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

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Complete the Square

Complete the squares - but be warned some are trickier than they look!

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Overlaps

What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.

Colouring Triangles

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

You might find it useful to print off this sheet of lots of the triangles.
How do you know your design has a line of symmetry?
Have you tried using more/fewer colours?
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. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.