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Tri.'s

How many triangles can you make on the 3 by 3 pegboard?

Cutting Corners

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?

Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Nine-pin Triangles

Age 7 to 11
Challenge Level

How will you record the triangles you've made? You might like to print off this sheet to use.
You could try drawing triangles which have a side made by joining two pegs next to each other. How many different triangles can you make in this way?
How will you know when you've got them all?


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.