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Eight Dominoes

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

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Score

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?

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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?

Football Crazy Hockey Mad

Age 11 to 14 Challenge Level:

Football and two Hockey Sticks crossed, a bit like a school emblemIn a league of 5 football teams which play in a round robin tournament (i.e. two teams play each other once only with no ties/draws allowed) show that it is possible for all five teams to be league leaders.

In a league of 6 hockey teams which play in a round robin tournament (i.e. two teams play each other once only with no ties/draws allowed) show that it is impossible for all six teams to be league leaders.