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The game uses a 3x3 square board. 2 players take turns to play, either placing a red on an empty square, or changing a red to orange, or orange to green. The player who forms 3 of 1 colour in a line wins.


A number game requiring a strategy.


In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?

Part the Piles

Age 7 to 11
Challenge Level

This is a game for two players.
Begin with a pile of counters. (It might be a good idea to start with, for example, 7 counters.)
The first player must separate the pile into two piles each containing a different number of counters.
Player 2 then splits one of these piles into two unequal piles.
Players take it in turns to separate the piles like this.
The winner is the player who makes it impossible for his or her opponent to divide any of the piles into two unequal piles.

When do you know who will win?
Can you devise a strategy that might help you win?
What happens if you change the number of counters you start with?

This game is a version of the old favourite, Nim. If you search on NRICH for Nim you will find some variations.