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Eight Dominoes

Using the 8 dominoes make a square where each of the columns and rows adds up to 8


There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about a total of 15 with 6 odd numbers?

Medal Muddle

Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?

Pattern of Islands

Age 11 to 14
Challenge Level

The council has decided to build bridges linking the islands Ander, Bresh, Calo, Daple and Ellip.
They want to make sure that
  • there will be two bridges leading from each of the islands Ander, Bresh and Calo, and three leading from Ellip and Daple
  • no pair of islands will be joined by more that one bridge
How many different ways are there to do this?