problem Three Ball Line Up Age 5 to 7 Challenge level Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
problem Two and One Age 5 to 7 Challenge level Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?
problem The Twelve Pointed Star Game Age 7 to 11 Challenge level Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?
problem Nineteen Hexagons Age 5 to 7 Challenge level In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?
problem Cuisenaire Counting Age 5 to 7 Challenge level Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
problem Butterfly Cards Age 7 to 11 Challenge level Four children were sharing a set of twenty-four butterfly cards. Are there any cards they all want? Are there any that none of them want?
problem The Money Maze Age 7 to 11 Challenge level Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?
problem Finding Fifteen Age 7 to 11 Challenge level Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
problem Negative Dice Age 11 to 14 Challenge level If the odd numbers on two dice are made negative, which of the totals cannot be achieved?
problem Chocoholics Age 7 to 11 Challenge level George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?