art of problem solving contest collection

About the Art of Problem Solving Initiative

Founded in 2004, the Art of Problem Solving Initiative, Inc. was created by people who love math and love teaching to help students access the study of advanced mathematics.

The Initiative began by running the USA Mathematical Talent Search , a nationwide math contest sponsored by the National Security Agency which continues to run to this day. In each round, this contest gives students a full month to work on five challenging proof-based problems. Students then get individual feedback on their work, including comments on their mathematical reasoning and on their proof-writing skills. By taking away the usual time pressures seen in many math contests, students have the opportunity to go more deeply and to explore.

For many years, the Initiative also ran the Local Programs Initiative which provided fiscal sponsorship to math circles and clubs across the country.

Now, the main project of the Initiative is Bridge to Enter Advanced Mathematics (BEAM) , a project to help underserved students find a realistic pathway towards becoming scientists, mathematicians, engineers, and programmers. During the summer after 7th grade, students are invited to participate in a free three-week residential program on a college campus where they gain the academic and social/emotional preparation to succeed in future programs for advanced study. They then receive academic advising throughout 8th grade and high school to help them and their families find the best opportunities for their educations.

The Art of Problem Solving Initiative receives support from Art of Problem Solving (AoPS) , which develops resources for high-performing middle and high school students including the largest online community of avid math students in the English-speaking world. The AoPS online school has trained many winners of major national mathematics competitions, including several gold medalists at the International Math Olympiad, Davidson Fellows, and winners of the Intel and Siemens Talent Search competitions.

The Art of Problem Solving Initiative is a 501(c)(3) charitable organization. It continues to be led by expert mathematicians and educators to this day. Please consider joining our contributors by donating to support advanced math education.

Financial Information

The Art of Problem Solving Initiative, Inc. makes its financial statements available for public inspection in the interest of greater transparency. Please see below to learn more about the organization.

• Tax return (Form 990)
• Audited financial statements
• Tax return (Form 990) (Note that due to a change in fiscal year these cover a shortened period.)

• Problem Sheets

Problem of the Week:

If you are an undergraduate and think you can solve this week's problem, write up a solution and mail it to:

Problem of the Week Department of Mathematics, Purdue University 150 North University Street West Lafayette, IN 47907-2067

Art of Problem Solving Contest Archive:

A collection of math contests of varying difficulty for those interested in competition math.

Putnam Competition:

How to participate, how to prepare.

• Problem Solving and The Putnam Competition
• Putnam Competition at Cornell
• Recommended Mathematics Literature

Contest Math 8 offers a full year of contest preparation to help students succeed at top math contests. It is the third level of our Contest Math series.

Live instructors build the fundamentals of geometry for veterans of competitions like MATHCOUNTS and AMC 8 and prepare them to face the challenges of national math contests like AMC 10 and AMC 12.

View the course syllabus for full class information and a list of topics.

Students who complete Contest Math 7B are ready for Contest Math 8. Similar to Honors Math 8: Intro to Geometry, this course takes conceptual understanding to the next level — while also integrating a special focus on highly challenging problems and practice contests for students who want to participate in math competitions.

To determine if your student is ready for this course or others at the Virtual Campus, learn more here .

Our expert instructors use Art of Problem Solving curriculum to teach Contest Math 8: Intro to Geometry. AoPS curriculum is a much broader and deeper exploration of challenging mathematics than a typical math curriculum, preparing students for success at top universities and in competitive careers.

This course will require both the Introduction to Geometry and Art of Problem Solving, Volume 1 textbooks.

Contest Math 8 In this course, students learn the fundamentals of geometry, including the study of angles, triangle similarity and congruence, special quadrilaterals, polygons, the art of angle chasing, power of a point, three-dimensional geometry, transformations, analytic geometry, basic trigonometry, geometric proof, and more. Students are further challenged by contest problems that incorporate multiple concepts and skills, and sometimes require out-of-the-box thinking.

Our instructors hold classes virtually, in a small-sized (10-16 students) videoconferencing classroom.

There are about 2 to 3 hours of homework each week. There are two timed exams in each course — one at the midpoint of the course, and one at the end — as well as practice contests spread across the lessons.

Visit our tuition page to learn more about our drop and refund policies.

The course runs for 36 weeks with one 120-minute lesson per week.

Academic competitions

Academic competitions typically challenge students to demonstrate their proficiency in academic subjects at a level above that of a typical classroom setting or standardized testing .

Types of academic competitions (including math competitions)

• Debate competitions
• Engineering competitions
• Foreign Language Competitions
• Informatics competitions
• Knowledge bowl competitions
• Literary competitions (including essay competitions)
• Linguistics competitions
• Mathematical modeling competitions
• Mathematics competitions
• Robotics competitions
• Puzzle competitions
• Science competitions
• Speech competitions
• Spelling competitions
• Technology competitions
• Vocabulary competitions
• Academic scholarships
• Academic summer programs
• Academic resources

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Geometry Problems from IMOs

olympiad geometry problems with aops links geometry articles, books, magazines, shortlists for Juniors and Seniors problem collections with solutions from National, Regional and International Mathematical Olympiads latest added on the right menu

• geo + mock oly
• Iranian 2014-22 (IGO) 121p
• Sharygin 2005-22 805p
• Moscow Oral Geo 2003-22 228p
• Yasinsky 2017-21 98p
• Mathley 80p
• articles, collections
• In the World of Mathematics
• M. Excalibur
• Balkan BMO SL 2007- 107p
• ELMO 2009- SL 71p
• JBMO 1997- SL 130p
• geo shortlists
• UK USA Canada
• IMO 1959 - 2021 116p
• IMO ISL 1968-92 186p
• IMO ISL 1993- 219p
• IMO ILL 1966-72 168p
• olympiad problems + solutions
• Juniors [104]

Moscow City MO 1935-56 (MMO) 136p

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