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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?

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

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The Best Card Trick?

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?


Age 11 to 14 Challenge Level:

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