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### Number and algebra

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Age 11 to 14

Challenge Level

- Problem
- Student Solutions

There are exactly 3 ways to add 4 odd numbers to get 10. Re-arranging the order of the numbers does not give a new solution. 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?