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Castles in the Middle

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

Which Solid?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Triple Cubes

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Next Size Up

Age 7 to 11
Challenge Level

10 cubes
Long ago, I made a string of ten graded cubes.
 
Each edge of the smallest cube was one centimetre long. Each edge of the largest cube was ten centimetres long.
 
I labelled each one with its volume in cubic centimetres.
 
The challenge for you is to make a string of graded cubes. You might do better working in a team, so encourage your friends to help!
 
We would love to hear how you made your own cubes and to see photos of them.


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.