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Three Way Mix Up

Age 5 to 11
Challenge Level Yellow starYellow star
  • Problem
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Jack has three blue tiles, three yellow tiles and three red tiles.
He put them together like this to make a square.

 

He made the rule that you could not put two tiles of the same colour beside each other.



Can you find another way to do it?
Can you find ALL the ways to do it?


You could try out some ideas using this interactive:



Printable NRICH Roadshow resource. 

Click here for a poster of this problem.

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Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

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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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