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For younger learners

  • Early Years Foundation Stage

Domino Tetrads

Age 11 to 14
Challenge Level Yellow starYellow starYellow star
  • Problem
  • Getting Started
  • Student Solutions

There are 28 dominoes in a set, which can be arranged in seven sets of four making a complete link, like the one below.

Is it possible to use all 28 dominoes arranging them in this way?
What patterns can you see in the solution(s) and can you explain them?
How do you know that you have all the solutions?

You may find our Dominoes Environment useful for working on this problem.

Printable NRICH Roadshow resource.

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Domino Magic Rectangle

An ordinary set of dominoes can be laid out as a 7 by 4 magic rectangle in which all the spots in all the columns add to 24, while those in the rows add to 42. Try it! Now try the magic square...

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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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