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Nim-7

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

Break it Up!

In how many different ways can you break up a stick of 7 interlocking cubes? Now try with a stick of 8 cubes and a stick of 6 cubes.

Lots of Lollies

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Next-door Numbers

Age 5 to 7
Challenge Level
What is the same about all the answers?
Can you find two next-door numbers that add to 6?  Or 10?