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Choose any three by three square of dates on a calendar page...

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Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

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What happens to the perimeter of triangle ABC as the two smaller circles change size and roll around inside the bigger circle?

Dicing with Numbers

Stage: 3 Challenge Level: Challenge Level:1
There are two standard dice and both have the property that opposite sides total 7.