Difference between revisions of "American Invitational Mathematics Examination"

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(AIME Exams in the AoPSWiki: Add 2021 AIME II)
 
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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.
 
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 [[American Mathematics Competitions]] (AMC).  [[Art of Problem Solving]] (AoPS) is a proud sponsor of the AMC!
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The AIME is administered by the [[Mathematical Association of America]] (MAA).  [[Art of Problem Solving]] (AoPS) is a proud sponsor of the AMC!
  
 
{{Contest Info|name=AIME|region=USA|type=Free Response|difficulty=3-6|breakdown=<u>Problem 1-5</u>: 3<br><u>Problem 6-10</u>: 4<br><u>Problem 10-12</u>: 5<br><u>Problem 12-15</u>: 6}}
 
{{Contest Info|name=AIME|region=USA|type=Free Response|difficulty=3-6|breakdown=<u>Problem 1-5</u>: 3<br><u>Problem 6-10</u>: 4<br><u>Problem 10-12</u>: 5<br><u>Problem 12-15</u>: 6}}
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* 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].
 
* 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].
 
* [[Mock AIME | Mock AIME exams by AoPSers]] -- A wealth of secondary practice materials.
 
* [[Mock AIME | Mock AIME exams by AoPSers]] -- A wealth of secondary practice materials.
* past HMMT, PUMaC, CMIMC exams
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* Past HMMT, PUMaC, and CMIMC exams (search the test up to see the link).
  
 
=== Recommended reading ===
 
=== Recommended reading ===
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* [[2018 AIME I]]
 
* [[2018 AIME I]]
 
* [[2018 AIME II]]
 
* [[2018 AIME II]]
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* [[2019 AIME I]]
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* [[2019 AIME II]]
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* [[2020 AIME I]]
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* [[2020 AIME II]]
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* [[2021 AIME I]]
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* [[2021 AIME II]]
  
 
== See also ==
 
== See also ==

Latest revision as of 21:40, 24 April 2021

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

Recommended reading


AIME Preparation Classes

  • AoPS hosts an 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. Math Jam Schedule


AIME Exams in the AoPSWiki

This is a list of all AIME exams in the AoPSWiki. Some of them contain complete questions and solutions, others complete questions, and others are lacking both questions and solutions. Many of these problems and solutions are also available in the AoPS Resources section. If you find problems that are in the Resources section which are not in the AoPSWiki, please consider adding them. Also, if you notice that a problem in the Wiki differs from the original wording, feel free to correct it. Finally, additions to and improvements on the solutions in the AoPSWiki are always welcome.

See also

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