AoPS Wiki:Resources

This is a place for various user-created content compiled from the forums. This information is already on the forums, but is compiled by users into easy-to-access PDF format. The ultimate goal of this page is to archive user-created content, not old contest PDFs. However, until the Contests section is fully operational on AoPS, this page will continue to link to old contests, such as the AIME below.

Marathons

SC ARML Marathons

• ARML Marathon Solutions (PDF)

• ARML Marathon Problems (PDF)

• ARML Marathon Solutions (TeX)

• ARML Marathon Problems (TeX)

Getting Started Forum Marathons

• GS Marathon 1

• GS Marathon 2
• GS Marathon 3

MOEMS Marathons

• MOEMS Marathon 1

SC Trig Marathons

• SC Trig Marathon 1

Intermediate Forum Marathons

• Intermediate AIME Marathon

AoPS Instructional Content & Papers

Beginner

• Three Types of Probability by Mathew Crawford

• [www.artofproblemsolving.com/Books/IntroNumb/exc2.pdf Linear Congruences] by Mathew Crawford

• [www.artofproblemsolving.com/Books/IntroGeom/exc1.pdf Triangle Similarity] by Richard Rusczyk

• [www.artofproblemsolving.com/Books/IntroCount/exc1.pdf Correcting for Overcounting] by David Patrick

• [www.artofproblemsolving.com/Books/Vol2/exc1.pdf Logarithms] excerpted from AoPS Volume 1

• [www.artofproblemsolving.com/Books/IntroNumb/exc1.pdf Base Numbers] by Mathew Crawford

• [www.artofproblemsolving.com/Books/IntroCount/exc2.pdf Probability Using Areas] by David Patrick

Intermediate

• Partitions of Integers by Joseph Laurendi

• A Few Elementary Properties of Polynomials by Adeel Khan

• Pidgeonhole Principle by Adeel Khan

• Roots of Unity by Adeel Khan

• [www.artofproblemsolving.com/Forum/files/arml_advice_550.pdf ARML Techniques: Working with Obscure Congruent Angles] by Alex Anderson

• [www.artofproblemsolving.com/LaTeX/Examples/calculus_review_formulas.pdf Calculus Review and Formulas] by Keone Hon

Advanced

• Inequalities by Dr. Kiran Kedlaya

• Inequalities by Thomas Mildorf

• Number Theory by Naoki Sato

• A Powerful Technique for Proving Remarkable Trigonometric Identities by Zach Abel and Fred Sala

• Polyominoes by Amanda Beeson, Thomas Belulovich, Connie Chao, Jon Chu, Eric Frackleton, Li-Mei Lim, Travis Mandel

• Predicting Improper Fractional Base Integer Characteristics by Billy Dorminy

• [www.artofproblemsolving.com/LaTeX/Examples/HaarMeasure.pdf On the Existence and Uniqueness of Invariant. Measures on Locally Compact Groups] by Simon Rubinstein–Salzedo

AoPS Contests

Mock Contests

• Mock AMC

• Mock AIME

• Mock USAMO

• Mock MathCounts

Other Contests

• Contest of Opportunity

• MIMC

• AoPS Kings

Compiled Contests

AIME

1995 AIME compiled by Edward Zhu

Problem Sets

• [www.artofproblemsolving.com/LaTeX/Examples/mathfanBasics.pdf The Basics: Twenty-Seven Problems] by Keone Hon