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Summing Consecutive Numbers

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Shopping Basket

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

Nim-7

Can you work out how to win this game of Nim? Does it matter if you go first or second?

ACE, TWO, THREE...

Age 11 to 14
Challenge Level


It might help to have paper and pencil handy as you work through the three methods.







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.
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