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MathOverflow is a question and answer site for professional mathematicians. It only takes a minute to sign up. My understanding of this Wikipedia page about Tarski's axiomatization of plane geometry and especially the discussion about decidability is that "plane geometry is decidable". The International Maths Olympiad happened recently, and there were two plane geometry questions in it problems 2 and 6.

### Math Olympiad Problems And Solutions Elementary

Here is an index of many problems by my opinions on their difficulty and subject matter. The acronym stands from "math olympiad hardness scale", pun fully intended. In addition, the linked file also contains a hyperlink to each of the corresponding solution threads on Art of Problem Solving. This document will probably see a lot of updates.
He is currently studying Mathematics in Cambridge University. The following post presents his insights in solving an MO problem. While I draw my examples mainly from problems in number theory, the strategies I mention are very general and apply to most Olympiad problems. The opinions expressed in this post are entirely mine, and I accept that everyone has a different way of approaching problems.
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