Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
Suppose we allow ourselves to use three numbers less than 10 and
multiply them together. How many different products can you find?
How do you know you've got them all?
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
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
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
Can you play without writing anything down?
Target $24$ using either a $1$, $3$ or $5$. What is the strategy
Consider playing the game where a player CANNOT add the same as
that used previously by the opponent.