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Got It is a version of a well known old favourite called
It is an adding game for two. You play against the computer or against a friend.
Start with a target of $23$. Set the range of available numbers
from $1$ to $5$.
Players take turns to add a whole number from $1$ to $5$ to the running total.
The player who hits the target of $23$ wins the game.
Play the game several times. Can you always win?
Can you find a winning strategy?
Does your strategy depend on whether or not you go first?
Change the game, choose a new GOT IT! target.
Test out the strategy you found earlier. Does it need adapting?
Can you work out a winning strategy for any target?
Is it best to start the game? Always?
Change the game again, returning to a target of $23$ but using a different range of numbers this time.
Test out the strategies you found earlier. Do they need
Can you work out a winning strategy for any range of numbers? Is it best to start the game? Always?
Can you work out a winning strategy for any target and any range of numbers?
Can you play without writing anything down?
Target $24$ using either a $1$, $3$ or $5$. What is the strategy now?
Consider playing the game where a player CANNOT add the same as that used previously by the opponent.