Useful links: Math Exams, Problem Solving Pages, Books
Math exams:
CCSU competition:
http://www.math.ccsu.edu/hive/regional_competition/comp2014_invite.html
MATH challenge:
http://www.mcs.alma.edu/mathchallenge/PastExamsPage.html
Michigan Mathematics Prize Competition:
http://www.math.hope.edu/mmpc/previousexams.html
Middleybury - Williams: Green Chicken:
http://web.williams.edu/Mathematics/sjmiller/public_html/greenchicken/index.htm
Ohio State: Rasor-Bareis-Gordon:
http://math.osu.edu/activities/competitions/rasor-bareis-gordon/past-rbg-competitions
Putnam Exam:
http://kskedlaya.org/putnam-archive/
University of Iowa:
http://www.math.uiuc.edu/~hildebr/putnam/undergradproblems.html
University of Rochester Math Olympiad:
http://www.math.rochester.edu/people/faculty/dangeba/urmo.html
Virginia Tech:
https://www.math.vt.edu/people/plinnell/Vtregional/
Iowa Math Contests:
http://sections.maa.org/iowa/Activities/Contest/Previous.php
Problem Solving Pages:
Stanford Polya Problem Solving homepage
Berkeley Problem Solving homepage
UCLA Problem Solving homepage
Johns Hopkins Problem Solving homepage
Harvey Mudd Problem Solving homepage (links to MIT and others)
University of Washington Problem Solving homepage
Putnam problems and solutions
Green chicken / math puzzle night homepage
Problem solving class I taught at Ohio State
My Riddles Page
Contests from TAMU
Useful Books:
Polya: How to Solve it:
https://notendur.hi.is/hei2/teaching/Polya_HowToSolveIt.pdf
Schumer: Mathematical Journeys:
http://www.amazon.com/Mathematical-Journeys-Wiley-Interscience-Publication-Schumer/dp/0471220663
Velleman: How to prove it:
http://www.amazon.com/Mathematical-Journeys-Wiley-Interscience-Publication-Schumer/dp/0471220663