Working systematically

in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?

Label this plum tree graph to make it totally magic!

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.

Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

Can you create a Latin Square from multiples of a six digit number?

Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

What is the smallest perfect square that ends with the four digits 9009?

Tim's class collected data about all their pets. Can you put the animal names under each column in the block graph using the information?

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?