Difference between revisions of "United States of America Junior Mathematical Olympiad"

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The '''USA Junior Mathematical Olympiad (USAJMO)''' is an exam used after the [[American Invitational Mathematics Examination]] to determine the top math students in America in grades 10 and under. It is possible for students to qualify for the Red level of the [[Mathematical Olympiad Summer Program]].
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The '''United States of America Junior Mathematical Olympiad''' ('''USAJMO'''), along with the [[USAMO]], are the third exams 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).  
  
It is also referred to as the Junior [[USAMO]]. It was created in 2010.
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About 60 top scorers of the USAJMO and [[USAMO]] are invited to participate in the [[Math Olympiad Summer Program]] (MOP), a challenging 3 to 4 week math program for the brightest students in the country.  
  
=Format=
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The USAJMO is administered by the [[Mathematical Association of America]] (MAA). [[Art of Problem Solving]] (AoPS) is a proud sponsor of the MAA.  
Participation in the USAJMO is by invitation only. The test is administered to approximately the top 250 student combined scorers on the [[AMC 10]] and [[AIME]]. Unlike the USAMO however, the problems are not proof problems. The USAJMO problems consist of 6 detailed solutions to short-answer problems.
 
  
=Scoring=
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{{Contest Info|name=USAJMO|region=USA|type=Proof|difficulty=6-7|breakdown=<u>Problem 1/4</u>: 6<br><u>Problem 2/5</u>: 6.5<br><u>Problem 3/6</u>: 7}}
The test consists of 6 problems, administered over two days, like the [[USAMO]]. Each problem is worth 7 points. The students are given 4.5 hours each day to complete 3 problems. There is a 2-problem overlap with the [[USAMO]], specifically USAJMO problems 1 and 4 with USAMO problems 3 and 6.
 
  
''to be edited later''
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== Format ==
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The USAJMO is a proof-based examination taken by approximately 250 of the highest scoring students in the [[AMC 10]] and [[AIME]] exams. The competition takes place over 2 consecutive days. Each day, 3 problems are given to the students to work for 4.5 hours. Responses are assessed based on correctness, completeness, and clarity and are subsequently awarded between 0 and 7 points, making the maximum score 42. Since most students receive limited exposure to proofs in high school, scores in the single digits are common.
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== Curriculum ==
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The USAJMO is best approached by students with a solid command of topics in [[algebra]], [[geometry]], [[number theory]], and [[combinatorics]] and a host of rigorous methods such as [[induction]] and [[proof by contradiction]]. Students who do well on the USAJMO have considerable experience in both solving highly challenging problems and [[writing proofs]]. Following the general format of high school competitions, the USAJMO does not require [[calculus]] or related topics, though proofs using higher mathematics are accepted.
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== Resources ==
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=== Links ===
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* The MAA's [https://maa.org/student-programs/amc/ official webpage] for the AMC and its [https://maa.org/maa-invitational-competitions/ Invitational Competitions] page
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* The AoPS Wiki's [[USAJMO Problems and Solutions]] page
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* The AoPS Contest's [https://artofproblemsolving.com/community/c3420_usajmo USAJMO], [https://artofproblemsolving.com/community/c58_national_olympiads National Olympiads], and [https://artofproblemsolving.com/community/c59_team_selection_tests Team Selection Tests] folders
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* The AoPS [https://artofproblemsolving.com/community/c5_contests_amp_programs Contests & Programs Forum] for contest related discussions
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* AoPS [[Mock USAJMO | User created mock USAJMOs]], an abundance of mocks designed to mimic real USAMO tests, compiled [https://artofproblemsolving.com/community/c2439874_usajmo_mocks here] in AoPS Contests
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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, and [https://web.evanchen.cc website]
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=== Books & Classes ===
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* [http://www.artofproblemsolving.com/Store/viewitem.php?item=ps:aops2 The Art of Problem Solving Volume 2] by [[Richard Rusczyk]] and [[Sandor Lehoczky]]
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* [https://web.evanchen.cc/geombook.html Euclidean Geometry in Mathematical Olympiads] and [https://web.evanchen.cc/excerpts.html The OTIS Excerpts] by Evan Chen
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* ''USA Mathematical Olympiads 1972-1986'' by Murray Klamkin (Editor) (ISBN 978-0883856345)
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* ''Countdown: The Race for Beautiful Solutions at the International Mathematical Olympiad'' by Steve Olson (ISBN 0-618-56212-5)
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* The AoPS [http://www.artofproblemsolving.com/Classes/AoPS_C_About.php Online School], including the [[Worldwide Online Olympiad Training]] (WOOT) program designed to help students train for the USAMO, other national [[Mathematics Olympiads]], and the IMO.
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* The AoPS [https://artofproblemsolving.com/school/mathjams Math Jams], some of which are devoted to discussing problems of the USAMO
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== See also ==
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* [[American Mathematics Competitions]]
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* [[USAJMO Problems and Solutions]]
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* [[Resources for mathematics competitions]]
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* [[How should I prepare?]]
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[[Category:Mathematics competitions]]
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[[Category:Olympiad mathematics competitions]]

Latest revision as of 03:58, 3 February 2025

The United States of America Junior Mathematical Olympiad (USAJMO), along with the USAMO, are the third exams 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).

About 60 top scorers of the USAJMO and USAMO are invited to participate in the Math Olympiad Summer Program (MOP), a challenging 3 to 4 week math program for the brightest students in the country.

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

USAJMO
Region: USA
Type: Proof
Difficulty: 6-7
Difficulty Breakdown:

Problem 1/4: 6
Problem 2/5: 6.5
Problem 3/6: 7

Format

The USAJMO is a proof-based examination taken by approximately 250 of the highest scoring students in the AMC 10 and AIME exams. The competition takes place over 2 consecutive days. Each day, 3 problems are given to the students to work for 4.5 hours. Responses are assessed based on correctness, completeness, and clarity and are subsequently awarded between 0 and 7 points, making the maximum score 42. Since most students receive limited exposure to proofs in high school, scores in the single digits are common.

Curriculum

The USAJMO is best approached by students with a solid command of topics in algebra, geometry, number theory, and combinatorics and a host of rigorous methods such as induction and proof by contradiction. Students who do well on the USAJMO have considerable experience in both solving highly challenging problems and writing proofs. Following the general format of high school competitions, the USAJMO does not require calculus or related topics, though proofs using higher mathematics are accepted.

Resources

Links

Books & Classes

See also