Two cannons are fired at one another and the cannonballs collide... what can you deduce?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
