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Homes

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?

Train Carriages

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?

Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Red Express Train

Age 5 to 7
Challenge Level

Amy sent us the ways she found to arrange the carriages. She was very systematic, so she can be sure that she has found all the arrangements. Can you see how she did this?

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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.