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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?