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Homes

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

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Stairs

This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

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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?

Coloured Squares

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

Use these clues to colour each shape:

6 squares arranged in 2 rows, one directly underneath the other, with 3 squares in each row

  • Blue is between green and red
  • Orange is below green
  • Yellow is to the left of both purple and orange
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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. 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.