This group of tasks forms part of our Generalising and Proof Feature and will help push you a bit further into proof after 'limbering up'. In each task, you are challenged to find a general rule.
problem
Nim-7
Age
5 to 11
Challenge level
Can you work out how to win this game of Nim? Does it matter if you go first or second?
problem
Magic Vs
Age
7 to 11
Challenge level
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
problem
Three dice
Age
7 to 11
Challenge level
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
problem
Play to 37
Age
7 to 11
Challenge level
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.
problem
Got it
Age
7 to 14
Challenge level
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.
problem
Button-up some more
Age
7 to 11
Challenge level
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
problem
Six numbered cubes
Age
7 to 11
Challenge level
This task combines spatial awareness with addition and multiplication.