Friday 25 May 2012

Question 11: Everyone is Equal

In 2011, this M4 mathematics competition had only 10 competitors. The points awarded are the same as on the current Rules page. After 5 games everyone had the same number of points!

Is this possible? If so, provide one possible solution with the maximum possible total points. (Yes, everyone on zero points is a solution, but not maximal!)

The solution here must be in a grid showing the 10 competitiors and their point score for each of the 5 questions. There are many solutions, you need to find just one.

The easiest way is to use a spreadsheet so you can automatically calculate the totals.

Spreadsheets are really useful in questions such as this. If you don't know how to use one, and especially how to enter formulas into the cells, then come back in August when the full website will start. If you can't wait, then try here or here.

Good Luck!




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