I think The Art of Problem Solving is the best resource for Maths problem solving. You can also train your quick thinking by playing Maths games with other people. Try FTW! to pit your Maths skills in solving AMC kind of questions against other Maths enthusiasts. At the end of a game, you will be rated against other registered players.
If you have any Maths problems, go to mathlinks.ro and post your problems there (instead of spamming my cbox :) ), and hopefully someone else will answer it for you. It has forums for primary school kind of Maths questions, to high school types, to Maths Olympiad questions, college/university Maths and even Arts and Sciences.
http://www.artofproblemsolving.com/Forum/index.php
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