Christmas Tree puzzle

This simple game is based on Nim 7 –¬†https://nrich.maths.org/1204

It is a great game for encouraging children to think and problem solve. Can they work out a winning strategy? Can they explain it? The game can be made harder by increasing the numbers … What happens if you had 12 baubles and a star? What would happen if the total was an even number?

Draw or print the tree below. Play with a partner. Each player adds 1 or 2 baubles / stars – the winner is the player who puts the last decoration on the tree.

Nim Tree



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