Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?
Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
Find out about the lottery that is played in a far-away land. What is the chance of winning?
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
