In MATHCOUNTS and related competitions, Aops's intermediate books can help a lot for state and national, introductory series helps for chapter and school.
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Links:
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http://amzn.to/jEuC97 and series
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Art and Craft of Problem Solving by Paul Zeitz
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Problem Solving Strategies by Arthur Engel
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== STEPS FOR DOING WELL IN CLASSES ==
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1. Attend the classes
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2. Read the book (If there is one), and do the message board problems as well as the challenge sets.
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3. Print/Save the transcrips
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4. Every good Aopser that does good on challenge sets has [TeKniKcenter[http://www.artofproblemsolving.com/Wiki/index.php/LaTeX:Downloads]]