Here are some exciting activities for you - have a go at them and then see what happens if you change one of the little questions. You may be able to change it more than just once!
problem
Favourite
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
Favourite
Break it up!
Age
5 to 11
Challenge level
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
problem
Board Block
Age
5 to 7
Challenge level
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
problem
Simple Train Journeys
Age
5 to 11
Challenge level
How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?
problem
Favourite
Strike it Out
Age
5 to 11
Challenge level
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
problem
Favourite
Sitting round the party tables
Age
5 to 11
Challenge level
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
problem
Favourite
The add and take-away path
Age
5 to 7
Challenge level
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?
problem
Favourite
Count The Digits
Age
5 to 11
Challenge level
In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?
problem
Favourite
Largest Even
Age
5 to 11
Challenge level
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
problem
Favourite
Making Sticks
Age
5 to 7
Challenge level
Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?
problem
Favourite
How Odd
Age
5 to 7
Challenge level
This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
problem
Favourite
School fair necklaces
Age
5 to 11
Challenge level
How many possible symmetrical necklaces can you find? How do you know you've found them all?