Difference between revisions of "American Invitational Mathematics Examination"

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== Resources ==
 
== Resources ==
 
=== Links ===
 
=== Links ===
* [http://math.llmlab.io/ AIME Online test and solutions]
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* The MAA's official webpage for the [https://maa.org/student-programs/amc/ AMC] and its [https://maa.org/maa-invitational-competitions/ Invitational Competitions] page
* [https://maa.org/student-programs/amc/ AMC homepage] and their [https://maa.org/maa-invitational-competitions/ Invitational Competitions page]
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* The AoPS Wiki's [[AIME Problems and Solutions]] page
* [[AIME Problems and Solutions]] -- A community effort to provide solutions to all AIME problems from which students can learn.
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* The AoPS Contest's [https://artofproblemsolving.com/community/c3416_aime_problems AIME Problems] folder
* The [[AoPS]] [http://www.artofproblemsolving.com/Resources/AoPS_R_Contests_AIME.php AIME guide].
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* [https://artofproblemsolving.com/wiki/index.php/AMC_historical_results Statistics] for the past AMC and AIME exams
* [http://www.artofproblemsolving.com/Forum/index.php?f=133 AMC Forum] for discussion of the AMC and problems from AMC and AIME exams.
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* The AoPS [https://artofproblemsolving.com/community/c5_contests_amp_programs Contests & Programs Forum] for contest related discussions
* The [http://www.artofproblemsolving.com/Forum/resources.php AoPS Contest Archive] includes problems and solutions from [http://www.artofproblemsolving.com/Forum/resources.php?c=182 most AMC and all AIME exams].
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* AoPS [[Mock AIME | User created mock AIMEs]], an abundance of mocks designed to mimic real AIME tests, compiled [https://artofproblemsolving.com/community/c2439872_aime_mocks here] in AoPS Contests
* [[Mock AIME | Mock AIME exams by AoPSers]] -- A wealth of secondary practice materials.
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* Past [https://www.hmmt.org/www/archive/problems HMMT], [https://jason-shi-f9dm.squarespace.com/archives#directory PUMaC], and [https://cmimc.math.cmu.edu/math/past-problems CMIMC] problems
* Past HMMT, PUMaC, and CMIMC exams (search the test up to see the link).
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* Evan Chen's [https://blog.evanchen.cc/2019/01/31/math-contest-platitudes-v3/ Math Contest Platitudes] blog, a guide to contest preparation. See also: [https://web.evanchen.cc/faq-contest.html Math Contest FAQs]
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* [http://math.llmlab.io/ Math.llmlab.io], an online contest training platform
  
=== Recommended reading ===
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=== Books & Classes ===
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_AMC.php Problem and solution books for past AMC exams].  One of these books also includes numerous past AIMEs and solutions.
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* The [https://artofproblemsolving.com/store/book/aops-vol2 Art of Problem Solving Volume 2] by [[Richard Rusczyk]] and [[Sandor Lehoczky]], the founders of the AoPS website. See also: [https://artofproblemsolving.com/store/recommendations.php#state/0 AoPS Bookstore Recommendations]
* Introduction to Counting & Probability by Dr. [[David Patrick]] is recommended for students who qualify for the AIME, but feel they lag behind in their understanding of basic combinatorics and probability relative to their other areas of math.  [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=3 Information]
 
* Introduction to Geometry by [[Richard Rusczyk]].  [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=9 Information]
 
* The Art of Problem Solving Volume II by [[Sandor Lehoczky]] and [[Richard Rusczyk]]. [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=2 Information].
 
 
 
 
 
=== AIME Preparation Classes ===
 
 
* [[AoPS]] hosts an [http://www.artofproblemsolving.com/Classes/AoPS_C_About.php online school] teaching introductory classes in topics covered by the AIME as well as AIME preparation classes.
 
* [[AoPS]] hosts an [http://www.artofproblemsolving.com/Classes/AoPS_C_About.php online school] teaching introductory classes in topics covered by the AIME as well as AIME preparation classes.
 
* [[AoPS]] holds many free [[Math Jams]], some of which are devoted to discussing problems on the AIME.  [https://artofproblemsolving.com/school/mathjams Math Jam Schedule]
 
* [[AoPS]] holds many free [[Math Jams]], some of which are devoted to discussing problems on the AIME.  [https://artofproblemsolving.com/school/mathjams Math Jam Schedule]

Revision as of 00:24, 3 February 2025

The American Invitational Mathematics Examination (AIME) is the second exam in the series of exams used to challenge bright students on the path toward choosing the team that represents the United States at the International Mathematics Olympiad (IMO). While most AIME participants are high school students, some bright middle school students also qualify each year.

High scoring AIME students are invited to take the prestigious United States of America Mathematics Olympiad (USAMO) for qualification from taking the AMC 12 or United States of America Junior Mathematics Olympiad (USAJMO) for qualification from taking the AMC 10.

The AIME is administered by the Mathematical Association of America (MAA). Art of Problem Solving (AoPS) is a proud sponsor of the AMC!

AIME
Region: USA
Type: Free Response
Difficulty: 3-6
Difficulty Breakdown:

Problem 1-5: 3
Problem 6-10: 4
Problem 10-12: 5
Problem 12-15: 6

Format

The AIME is a 15 question, 3 hour exam$^1$ taken by high scorers on the AMC 10, AMC 12, and USAMTS competitions. Qualification through USAMTS only is rare, however. Each answer is an integer from 000 to 999, inclusive, making guessing almost futile. Wrong answers receive no credit, while correct answers receive one point of credit, making the maximum score 15. Problems generally increase in difficulty as the exam progresses - the first few questions are generally AMC 12 level, while the later questions become extremely difficult in comparison. Calculators are not permitted.


$^1$ In the first two years (1983 and 1984) there was a 2.5 hour time limit instead of the current 3 hour limit.

Curriculum

The AIME tests mathematical problem solving with arithmetic, algebra, counting, geometry, number theory, and probability and other secondary school math topics. Problems usually require either very creative use of secondary school curriculum, or an understanding as to how different areas of math can be used together to investigate and solve a problem.


Resources

Links

Books & Classes

See also

Thanks!