GOT IT

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

GOT IT is an adding game for two. You can play against the computer or with a friend.

Start with the GOT IT target $23$.

The first player chooses a whole number from $1$ to $4$.

Players take turns to add a whole number from $1$ to $4$ to the running total.

The player who hits the target of $23$ wins the game.

To change the game, choose a new GOT IT! target or a new range of numbers to add on.

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Play the game several times.
Can you find a winning strategy?
Does your strategy depend on whether or not you go first?

Can you work out a winning strategy for any target?
Can you work out a winning strategy for any range of numbers?

Is it best to start the game? Always?

Away from the computer, challenge your friends:
One of you names the target and range and lets the other player start.

Are you good at mental arithmetic? Can you play without writing anything down?




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Published January 2002,February 2009.