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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?


How many moves does it take to swap over some red and blue frogs? Do you have a method?


Age 11 to 14 Challenge Level:

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