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I'm asking from the perspective of an undergraduate. In high school, I found that training with competition problems was immensely helpful. I solve problems on the internet and read solutions. That's how I learned proving, even without anyone formally teaching me. I can really feel the effect now. For instance, I can generally figure out things quicker than average students. My first year study was a breeze.

With that in mind, I was wondering how relevant are competition-type problems (Putnam, IMC, etc) to undergraduates?

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    It ia I think best to seek out undergraduate research opportunities in whatever your field of interest is becoming, which may not be math. That said, if your university has a good Putnam training program, you will probably enjoy it.2012-10-04

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