I used to do that too. First as a competitor, then for my national organization, and now I'm back at my former high school as a coach. There's a very large var

I used to do that too. First as a competitor, then for my national organization, and now I'm back at my former high school as a coach. There's a very large variety of difficulty levels in math competitions. You go from almost trivial to olympiad level (= almost impossible even for most professional mathematicians). That level also steadily increases as time goes on. Problems from the same competitions are already vastly more difficult than ten years ago, when I used to compete. Might be that I'm growing white hair, but it's almost unbelievable what the very top kids can do. They're very, very, very good. > I’d also argue such problems ought to be part of the curriculum for “normal” kids too. I wish there was a way to do it. I agree that the educational value is simply off the charts, but even low-level competitions are way too hard if you won't train, and most kids understandably won't.