My teachers never directly prepared me for olympiad style events. We did have a math team, but that was more focused on a local competition with short time lim

My teachers never directly prepared me for olympiad style events. We did have a math team, but that was more focused on a local competition with short time limits (very similar to ARML, if you are familiar with that.) In terms of real math, there are limits on what high school teachers can teach. Olympiad style problems require the same sort of thinking as real math does, but without requiring as much knowledge. That seems like a good compromise to me. Personally, I wish I'd had more preparation of that sort (I took USAMO and achieved a very average performance.)