Nice Math Problems
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Nice Math Problems

2023 Australian Mathematics Olympiad — Problem 1

A nice counting puzzle that anyone can try

The Problem

Mia is playing the following game. She writes the numbers 1,2,3,…, n in some order on the sides of a regular n-sided polygon. Then, on each vertex of the polygon, she writes the sum of the numbers on the two sides that meet at that vertex. Mia wins if the n numbers…



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Russell Lim

I teach high school mathematics in Melbourne, Australia. I like thinking about interesting problems and learning new things.