I am working with a student who is very interested in math competitions, and I am teaching him Algebra I. I feel like doing competition problems related to a given topic is an excellent way to force him to apply the concept in a non-standard way, so I try to do it as much as possible. The main problem which I encounter with this approach is the difficulty of finding good problems related to a given topic. Skimming old competitions such as the AMC occasionally yields something interesting, but that involves sifting through a lot of problems to find just a few. I have looked at the AOPS Alcumus program to find problems related to a specific problem and that has worked fairly well, the only problem being the slow pace at which I can read through the Alcumus problems due to the format. It would be excellent if there were a place where I could simply download a list of competition problems organized by topic and select the ones which I thought were most relevant and interesting. Does a list like this exist? Thanks
I don't know if such a list exists, but I can recommend other math competitions - specifically the waterloo contests: http://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf
Hope this is helpful in some way.