NIM Games

NIM Game 3-4-5

Lay out 12 coins in 3 rows. Row 1 has 3 coins in it. Row 2 has 4 coins in it. Row 3 has 5 coins in it.Players alternate turns and may, on their turn, take any number of coins but from ONE row only on that turn.

The player who takes the last coin is the winner.

Another variation of this game is to play it with rows of 1, 3, 5, and 7 coins. Same rules.

NIM Game

20 coins or other counters
2 players
all ages
strategic thinking, planning ahead

Lay out 20 coins.
Take turns picking up 1, 2, or 3. (For example, player one picks up 2 coins, player two picks up 1 coin, player 1 picks up 3 coins, player 2 picks up 3 coins, and so on.)
The player who picks up the last coin LOSES.

Don’t read this until you’ve played a while first
(Hint: if you always go second and always make sure that the total picked up in a round is 4 (they pick up 1, you pick up 3 or if they pick up 2, you pick up 2, etc) then you’ll always win. Why?)


Use fewer coins and see how the game plays out.
Make the rule that you can pick up 1 or 2 coins, not 3.
Make the winner the person who TAKES the last coin.

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