Can you explain the strategy for winning this game with any target?
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
Some puzzles requiring no knowledge of knot theory, just a careful
inspection of the patterns. A glimpse of the classification of
knots and a little about prime knots, crossing numbers and knot
Find a partner and a $1-6$ dice, or even a $0-9$ dice if you have one. You could use the dice in Dice and Spinners.
Each of you draw a set of four boxes like this:
Or you can download and print off this scoring sheet.
Take turns to roll the dice and decide which of your four boxes to fill. Do this four times each until all your boxes are full. Read the four digits as a whole number.
There are two possible scoring systems:
Now for some variations...
Whoever makes the smaller four digit number wins. You'll probably want to change the scoring system.
Set a target to aim for. Then throw the dice four times each and work out how far each of you is from the target number. Whoever is the closer wins.
This game introduces a decimal point. The decimal point will take up one of the cells so this time the dice only needs to be thrown three times by each player. The winner is the one closer to the target. Choose a target.
Two possible versions:
Again, two different scoring systems are possible.
This is the nasty version!
Play any of the games above. This time you can choose to keep your number and put it in one of your cells, OR give it to your partner and tell them which cell to put it in. You might lose a friend this way! It's really important to take turns to start each round if this game is going to be fair.
This becomes even nastier when you play the games above with more than two people.
A cooperative game rather than a competitive one - for three or more people.
Choose any of the games above. Decide in advance which of you will get the closest to the target, who will be second closest, third, fourth etc. Now work together to decide in whose cells the numbers should be placed, and where.