Proof: Going a Bit Further
Nim-7
Can you work out how to win this game of Nim? Does it matter if you go first or second?
Three Dice
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Play to 37
In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
Magic Vs
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Six Numbered Cubes
This task combines spatial awareness with addition and multiplication.
Button-up Some More
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
Got It
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.