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

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Adding All Nine

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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Picture Story

Can you see how this picture illustrates the formula for the sum of the first six cube numbers?

What Numbers Can We Make Now?

Age 11 to 14 Challenge Level:

This problem follows on from What Numbers Can We Make?, so perhaps you might explore that first.