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Difference between revisions of "American Invitational Mathematics Examination"
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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.
 
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).
+
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!
+
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}}
  
 
== Format ==
 
== Format ==
  
−
The AIME is a 15 question, 3 hour exam 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 0 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 AMC12 level, while the later questions become extremely difficult in comparison. Calculators are not permitted.
+
The AIME is a 15 question, 3 hour exam<math>^1</math> 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.
 +
 
 +
 
 +
<math>^1</math> In the first two years (1983 and 1984) there was a 2.5 hour time limit instead of the current 3 hour limit.
  
 
== Curriculum ==
 
== Curriculum ==
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== Resources ==
 
== Resources ==
 
=== Links ===
 
=== Links ===
 +
* [http://math.llmlab.io/ AIME Online test and solutions]
 
* [http://www.unl.edu/amc/ AMC homepage] and their [http://www.unl.edu/amc/e-exams/e7-aime/aime.shtml AIME page]
 
* [http://www.unl.edu/amc/ AMC homepage] and their [http://www.unl.edu/amc/e-exams/e7-aime/aime.shtml AIME page]
 
* [[AIME Problems and Solutions]] -- A community effort to provide solutions to all AIME problems from which students can learn.
 
* [[AIME Problems and Solutions]] -- A community effort to provide solutions to all AIME problems from which students can learn.
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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, and CMIMC exams (search the test up to see the link).
  
 
=== Recommended reading ===
 
=== Recommended reading ===
−
* [http://www.artofproblemsolving.com/Store/contests.php?contest=amc Problem and solution books for past AMC exams].
+
* [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.
−
* [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:counting Introduction to Counting & Probability] by Dr. [[David Patrick]].  
+
* 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]
−
* [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry Introduction to Geometry] by [[Richard Rusczyk]].  
+
* Introduction to Geometry by [[Richard Rusczyk]].  [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=9 Information]
−
* [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:nt Introduction to Number Theory] by [[Mathew Crawford]].
+
* 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].
−
* [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:algebra Intermediate Algebra] by [[Richard Rusczyk]] and [[Mathew Crawford]].
+
 
−
* [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:counting Intermediate Counting & Probability] by Dr. [[David Patrick]]. 
+
 
−
*  [http://www.artofproblemsolving.com/Store/viewitem.php?item=precalc Precalculus] by [[Richard Rusczyk]].
+
=== AIME Preparation Classes ===
−
* [http://www.artofproblemsolving.com/Store/viewitem.php?item=ps:aops1 The Art of Problem Solving Volume 1] by [[Sandor Lehoczky]] and [[Richard Rusczyk]].
+
* [[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.
−
* [http://www.artofproblemsolving.com/Store/viewitem.php?item=ps:aops2 The Art of Problem Solving Volume 2] by [[Sandor Lehoczky]] and [[Richard Rusczyk]].
+
* [[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]
  
−
=== AMC Preparation Classes ===
+
=== AIME Exams in the AoPSWiki ===
−
* [[AoPS]] hosts an [http://www.artofproblemsolving.com/School/index.php online school] teaching introductory and intermediate classes in topics covered by the AIME as well as AIME preparation classes.
+
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 [http://www.artofproblemsolving.com/Forum/resources.php?c=182 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.
−
* [[AoPS]] holds many free [[Math Jams]], some of which are devoted to discussing problems on the AIME. [http://www.artofproblemsolving.com/School/mathjams.php Math Jam Schedule]
 
  
−
=== AIME Exams on the AoPSWiki ===
+
{| class="wikitable" style="text-align:center"
−
See [[AIME Problems and Solutions]] for a complete list of AIME tests in the AoPSWiki.
+
|-
 +
! Year || Test I || Test II
 +
|-
 +
| 2024 || [[2024 AIME I | AIME I]] || [[2024 AIME II | AIME II]]
 +
|-
 +
| 2023 || [[2023 AIME I | AIME I]] || [[2023 AIME II | AIME II]]
 +
|-
 +
| 2022 || [[2022 AIME I | AIME I]] || [[2022 AIME II | AIME II]]
 +
|-
 +
| 2021 || [[2021 AIME I | AIME I]] || [[2021 AIME II | AIME II]]
 +
|-
 +
| 2020 || [[2020 AIME I | AIME I]] || [[2020 AIME II | AIME II]]
 +
|-
 +
| 2019 || [[2019 AIME I | AIME I]] || [[2019 AIME II | AIME II]]
 +
|-
 +
| 2018 || [[2018 AIME I | AIME I]] || [[2018 AIME II | AIME II]]
 +
|-
 +
| 2017 || [[2017 AIME I | AIME I]] || [[2017 AIME II | AIME II]]
 +
|-
 +
| 2016 || [[2016 AIME I | AIME I]] || [[2016 AIME II | AIME II]]
 +
|-
 +
| 2015 || [[2015 AIME I | AIME I]] || [[2015 AIME II | AIME II]]
 +
|-
 +
| 2014 || [[2014 AIME I | AIME I]] || [[2014 AIME II | AIME II]]
 +
|-
 +
| 2013 || [[2013 AIME I | AIME I]] || [[2013 AIME II | AIME II]]
 +
|-
 +
| 2012 || [[2012 AIME I | AIME I]] || [[2012 AIME II | AIME II]]
 +
|-
 +
| 2011 || [[2011 AIME I | AIME I]] || [[2011 AIME II | AIME II]]
 +
|-
 +
| 2010 || [[2010 AIME I | AIME I]] || [[2010 AIME II | AIME II]]
 +
|-
 +
| 2009 || [[2009 AIME I | AIME I]] || [[2009 AIME II | AIME II]]
 +
|-
 +
| 2008 || [[2008 AIME I | AIME I]] || [[2008 AIME II | AIME II]]
 +
|-
 +
| 2007 || [[2007 AIME I | AIME I]] || [[2007 AIME II | AIME II]]
 +
|-
 +
| 2006 || [[2006 AIME I | AIME I]] || [[2006 AIME II | AIME II]]
 +
|-
 +
| 2005 || [[2005 AIME I | AIME I]] || [[2005 AIME II | AIME II]]
 +
|-
 +
| 2004 || [[2004 AIME I | AIME I]] || [[2004 AIME II | AIME II]]
 +
|-
 +
| 2003 || [[2003 AIME I | AIME I]] || [[2003 AIME II | AIME II]]
 +
|-
 +
| 2002 || [[2002 AIME I | AIME I]] || [[2002 AIME II | AIME II]]
 +
|-
 +
| 2001 || [[2001 AIME I | AIME I]] || [[2001 AIME II | AIME II]]
 +
|-
 +
| 2000 || [[2000 AIME I | AIME I]] || [[2000 AIME II | AIME II]]
 +
|-
 +
| 1999
 +
| colspan="2"| [[1999 AIME | AIME]]
 +
|-
 +
| 1998
 +
| colspan="2"| [[1998 AIME | AIME]]
 +
|-
 +
| 1997
 +
| colspan="2"| [[1997 AIME | AIME]]
 +
|-
 +
| 1996
 +
| colspan="2"| [[1996 AIME | AIME]]
 +
|-
 +
| 1995
 +
| colspan="2"| [[1995 AIME | AIME]]
 +
|-
 +
| 1994
 +
| colspan="2"| [[1994 AIME | AIME]]
 +
|-
 +
| 1993
 +
| colspan="2"| [[1993 AIME | AIME]]
 +
|-
 +
| 1992
 +
| colspan="2"| [[1992 AIME | AIME]]
 +
|-
 +
| 1991
 +
| colspan="2"| [[1991 AIME | AIME]]
 +
|-
 +
| 1990
 +
| colspan="2"| [[1990 AIME | AIME]]
 +
|-
 +
| 1989
 +
| colspan="2"| [[1989 AIME | AIME]]
 +
|-
 +
| 1988
 +
| colspan="2"| [[1988 AIME | AIME]]
 +
|-
 +
| 1987
 +
| colspan="2"| [[1987 AIME | AIME]]
 +
|-
 +
| 1986
 +
| colspan="2"| [[1986 AIME | AIME]]
 +
|-
 +
| 1985
 +
| colspan="2"| [[1985 AIME | AIME]]
 +
|-
 +
| 1984
 +
| colspan="2"| [[1984 AIME | AIME]]
 +
|-
 +
| 1983
 +
| colspan="2"| [[1983 AIME | AIME]]
 +
|}
  
 
== See also ==
 
== See also ==
Line 50: Line 158:
  
 
[[Category:Mathematics competitions]]
 
[[Category:Mathematics competitions]]
 +
[[Category:Intermediate mathematics competitions]]
 +
Thanks!

Latest revision as of 19:15, 24 October 2024

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.

Year Test I Test II
2024 AIME I AIME II
2023 AIME I AIME II
2022 AIME I AIME II
2021 AIME I AIME II
2020 AIME I AIME II
2019 AIME I AIME II
2018 AIME I AIME II
2017 AIME I AIME II
2016 AIME I AIME II
2015 AIME I AIME II
2014 AIME I AIME II
2013 AIME I AIME II
2012 AIME I AIME II
2011 AIME I AIME II
2010 AIME I AIME II
2009 AIME I AIME II
2008 AIME I AIME II
2007 AIME I AIME II
2006 AIME I AIME II
2005 AIME I AIME II
2004 AIME I AIME II
2003 AIME I AIME II
2002 AIME I AIME II
2001 AIME I AIME II
2000 AIME I AIME II
1999 AIME
1998 AIME
1997 AIME
1996 AIME
1995 AIME
1994 AIME
1993 AIME
1992 AIME
1991 AIME
1990 AIME
1989 AIME
1988 AIME
1987 AIME
1986 AIME
1985 AIME
1984 AIME
1983 AIME

See also

Thanks!

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