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Colourful Tiles

Age 11 to 14
ShortChallenge Level Yellow star
Secondary curriculum
  • Problem
  • Solutions

A tile is fixed to a wall and then painted with four different colours, one for each quarter. One way of doing this is 
 
How many other ways can the tile be painted?
 
 
 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.

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Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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