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I recently moved countries, and am now in a US school. Previously, I've had a little bit of exposure to competition math, and I did okay, but at this time I wasn't diving very deep into math in general, much less competition math.

Today, it's a bit different. I've come to conclude that math is a highly fascinating subject, and am thus looking to trade breadth for depth, and really focus my efforts somewhere. With the opportune change of scenery, I decided I would get into competition math (as I did find it interesting in the past).

Here's my question: where do I start? It's not so straightforward as, say, learning a specific topic or subject. I've been working through old competition problems, studying some common areas that come up (currently working on number theory), and so on. To be blunt, I have no idea what I'm doing, so I decided I would get to the drawing board and map out the general trajectory for the short/mid/long-term, so I know just what it is I'm going at. So, I turn to you.

Thank you very much for reading this. I would like nothing more than to learn from you, anything and everything you might have to say to me is welcome. Thanks once again.

Archsys
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    There's a whole website just for you! artofproblemsolving.com – Rushabh Mehta Jun 06 '19 at 23:01
  • Definitely check out artofproblemsolving.com. – littleO Jun 06 '19 at 23:28
  • Thank you Don Thousand and littleO! I've just finished looking through a portion of the resources AoPS provides. It's a goldmine. I have a question, though: How do I map out a cohesive/coherent plan for progress (short/mid/long-term)? I started with some AMC 10/12 problems, but I realized I should think about the bigger picture first. Thanks again. – Archsys Jun 07 '19 at 13:39
  • Also, www.mathlinks.ro – TBTD Jun 08 '19 at 14:17

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Talk to your math teacher(s) and consult this site.