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Consecutive Numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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!
Age 11 to 14 Challenge Level:
Is it possible to rearrange the
numbers 1, 2 ...12 around a clock face in such a way that every two
numbers in adjacent positions differ by any of 3, 4 or 5 hours?
How many solutions can you find?
Can you convince us that you have all of them?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.