Challenge Level

An ordinary set of 28 dominoes can be laid out as a 7 by 4 magic rectangle in which the spots in all the columns total 24 while the spots in all the rows total 42. Try it!

You may like to use this domino set or if you would prefer to use a computer interactivity, you might find our Dominoes Environment useful.

Printable NRICH Roadshow resources: Instructions and Gameboard

Magic squares can be made with the 25 dominoes remaining when you have put aside (0-5), (0-6) and (1-6). The total of each row, each column and each diagonal is 30. This can be done in many different ways. As a group project you might like to see how many distinct magic domino squares you can find.

Here is part of one layout to get you started.

Can you invent a game involving dominoes and magic squares? If you invent a good game do tell NRICH and we'll publish it on this page.