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Domino Sorting

Stage: 1 Challenge Level: Challenge Level:1

Here are some dominoes taken out of the full set:
dominoes from 1, 0 to 3, 3

Sort them into two groups - one group with an odd number of spots and one group with an even number of spots.
Do you have any dominoes left over? Why or why not?

Now put the dominoes into pairs. The number of spots on each pair of dominoes must make a total of $5$.
How many pairs can you make?
Which dominoes are left over?

Can you pair them up in any different ways so that each pair adds to $5$?
Which dominoes are left over now?

Are there any dominoes which are always left over?
Can you explain why?

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.