https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Chichi&feedformat=atomAoPS Wiki - User contributions [en]2021-06-15T18:46:34ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=International_Mathematical_Olympiad&diff=32420International Mathematical Olympiad2009-07-19T01:17:58Z<p>Chichi: /* Awards */</p>
<hr />
<div>The '''International Mathematical Olympiad''' is the pinnacle of all high school [[mathematics competition]]s and the oldest of all international scientific competitions. Each year, countries from around the world send a team of 6 students to compete in a grueling competition.<br />
<br />
== Format of the Competition ==<br />
The competition takes place over 2 consecutive days. Each day 3 problems are given to the students to work on for 4.5 hours. Following the general format of high school competitions, it does not require [[calculus]] or related topics.<br />
<br />
=== Scoring ===<br />
<br />
Scoring on each problem is done on a 0-7 scale (inclusive and integers only). Full credit is only given for complete, correct solutions. Each solution is intended to be in the form of a [[proof writing|mathematical proof]]. Since there are 6 problems, a perfect score is 42 points.<br />
<br />
=== Awards ===<br />
Medals, honorable mentions and sometimes, Special prize are given out.<br />
<br />
* Gold - the top 1/12 of individual scores.<br />
* Silver - the next 2/12 of individual scores.<br />
* Bronze - the next 3/12 of individual scores.<br />
* Honorable mention - any student who receives a score of 7 on any one problem but did not receive a medal.<br />
* Special Price - Given to students who score 7 in one problem with an specialy ingenius solution(normally an much simple elemental solution of a hard problem).<br />
<br />
=== Team Competition ===<br />
There is no official team competition. Unofficially, however, the scores of each team are compared each year where a team's score is the sum of their individual scores.<br />
<br />
== History ==<br />
<br />
The IMO started in 1959 as a competition among Eastern European countries. Since then, it has evolved into the premier international competition in mathematics.<br />
<br />
== See also ==<br />
* [[IMO Problems and Solutions, with authors]]<br />
* [[Mathematics competition resources]]<br />
* [[Math books]]<br />
* [[Mathematics scholarships]]<br />
* [[Worldwide Online Olympiad Training]]<br />
<br />
== External Links ==<br />
* <url>index.php?f=87 AoPS-MathLinks IMO Forum</url><br />
* <url>resources.php AoPS-MathLinks Olympiad Resources</url><br />
* [http://www.imo-official.org Official IMO Site]<br />
* [http://www.imo2007.edu.vn/ IMO 2007 Vietnam]<br />
* [http://imo2006.dmfa.si/ IMO 2006 Slovenia]<br />
<br />
[[Category:Mathematics competitions]]</div>Chichihttps://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:Competition_ratings&diff=32419AoPS Wiki:Competition ratings2009-07-18T23:51:38Z<p>Chichi: /* APMO */</p>
<hr />
<div>This page contains an approximate estimation of the difficulty level of various competitions. <br />
<br />
<br />
If you have some experience with mathematical competitions, we hope that you can help us make the difficulty rankings more accurate. Currently, the system is on a scale from 1 to 10 where 1 is the easiest level, i.e. [http://www.mathlinks.ro/resources.php?c=182&cid=44 early AMC] problems and 10 is hardest level, i.e. [http://www.mathlinks.ro/resources.php?c=37&cid=47 China IMO Team Selection Test.] When considering problem difficulty put more emphasis on problem-solving aspects and less so on technical skill requirements.{{ref|1}}<br />
<br />
== Voting ==<br />
<br />
=== [[MOEMS]] ===<br />
<br />
=== [[Mathcounts]] ===<br />
<br />
=== [[AMC 8]] ===<br />
<br />
* Problem 1 - Problem 12: 1 <br />
* Problem 3 - Problem 25: 2<br />
<br />
=== [[AMC 10]] ===<br />
<br />
* Problem 1 - 5: 1<br />
* Problem 6 - 22: 2<br />
* Problem 18 - 25: 3<br />
<br />
=== [[AMC 12]] ===<br />
<br />
* Problem 1-5: 2<br />
* Problem 3-18: 3<br />
* Problem 22-25: 4<br />
<br />
=== [[AIME]] ===<br />
<br />
* Problem 1 - 5: 3<br />
* Problem 5 - 10: 4 <br />
* Problem 11 - 15: 5<br />
* Problem 14 - 15: 6<br />
<br />
=== [[ARML]] ===<br />
<br />
* Individuals, Problem 1-5,7,9: 3<br />
* Individuals, Problem 6,8: 4<br />
* Individuals, Problem 10: 6<br />
<br />
=== [[HMMT]] ===<br />
<br />
* Individuals, Problem 1-5: 4<br />
* Individuals, Problem 6-10: 5<br />
<br />
=== [[JBMO]] ===<br />
<br />
* Problem 1: 4<br />
* Problem 2: 5<br />
* Problem 3: 5<br />
* Problem 4: 6<br />
<br />
=== [[IMO Shortlist]] ===<br />
<br />
=== [[USAMO]] ===<br />
<br />
* Problem 1/4: 5.5<br />
* Problem 2/5: 7<br />
* Problem 3/6: 8.5<br />
<br />
=== [[APMO]] ===<br />
Problem 1: 6.5<br />
<br/>Problem 2: 7<br />
<br />
=== [[All-Russian Olympiad]] ===<br />
<br />
=== [[USA TST]] ===<br />
<br />
(seems to vary more than other contests; estimates based on 08 and 09)<br />
<br />
* Problem 1/4/7: 7.5<br />
* Problem 2/5/8: 8<br />
* Problem 3/6/9: 8.5<br />
<br />
=== [[Iran TST]] ===<br />
<br />
=== [[China TST]] ===<br />
<br />
* Problem 1/4: <br />
* Problem 2/5: <br />
* Problem 3/6: 8<br />
<br />
=== [[IMO]] ===<br />
<br />
* Problem 1/4: 6.5<br />
* Problem 2/5: 7.5<br />
* Problem 3/6: 9<br />
<br />
=== [[Putnam]] ===<br />
<br />
=== [[Miklós Schweitzer]] ===<br />
<br />
* Problem 1-3: <br />
* Problem 4-6: <br />
* Problem 7-9: <br />
* Problem 10-12:<br />
<br />
== Subjective ==<br />
<br />
=== AMC 8 ===<br />
<br />
* Problem 1 - Problem 12: 1<br />
* Problem 3 - Problem 25: 2<br />
<br />
=== AMC 10 ===<br />
<br />
* Problem 1 - Problem 12:<br />
* Problem 3 - Problem 25:<br />
<br />
=== AMC 12 ===<br />
<br />
* Problem 1 - Problem 12:<br />
* Problem 3 - Problem 25:<br />
<br />
=== AIME ===<br />
<br />
* Problem 1 - Problem 5: 4<br />
* Problem 5 - Problem 10: 5 <br />
* Problem 11 - Problem 15: 6<br />
<br />
=== JBMO ===<br />
<br />
* Problem 1: 4<br />
* Problem 2: 5<br />
* Problem 3: 5<br />
* Problem 4: 6<br />
<br />
=== USAMO ===<br />
<br />
* Problem 1/4: 5.5<br />
* Problem 2/5: 7<br />
* Problem 3/6: 8.5<br />
<br />
=== IMO ===<br />
<br />
* Problem 1/4: 6.5<br />
* Problem 2/5: 7.5<br />
* Problem 3/6: 9<br />
<br />
=== China TST ===<br />
<br />
* Problem 1/4: 6.5<br />
* Problem 2/5: 7.5<br />
* Problem 3/6: 8,9<br />
<br />
=== Miklós Schweitzer ===<br />
<br />
* Problem 1-3: <br />
* Problem 4-6: <br />
* Problem 7-9: <br />
* Problem 10-12:<br />
<br />
== Scale ==<br />
{{ref|1}}All levels estimated and refer to ''averages''. The following is a rough standard based on the USA tier system AMC 8 – AMC 10 – AMC 12 – AIME – USAMO, representing Middle School – Junior High – High School – Challenging High School – Olympiad levels. Other contests can be interpolated against this. <br />
<br />
# Problems strictly for beginners, on the easiest elementary school or middle school levels. Examples would be MOEMS, easy Mathcounts questions, #1-20 on AMC 8s, very easy AMC 10/12 questions, and others that involve standard techniques introduced up to the middle school level<br />
# For motivated beginners, harder questions from the previous categories (hardest middle-school level questions, #5-20 on AMC 10, #5-10 on AMC 12, easiest AIME questions, etc).<br />
# For those not too familiar with standard techniques, #21-25 on AMC 10, #11-20ish on AMC 12, #1-5 on AIMEs, and analogous contests. <br />
# Intermediate-leveled problem solvers, the most difficult questions on AMC 12s (#22-25s), more difficult AIME-styled questions #6-10<br />
# Difficult AIME problems (#10-13), others, simple proof-based problems (JBMO etc)<br />
# High-leveled AIME-styled questions, not requiring proofs (#12-15). Introductory-leveled Olympiad-level questions (#1-4s).<br />
# Intermediate-leveled Olympiad-level questions, #1,3s that require more technical knowledge than new students to Olympiad-type questions have, easier #2,4s, etc. <br />
# High-level difficult Olympiad-level questions, eg #2,4s on difficult Olympiad contest and easier #3,6s, etc. <br />
# Difficult Olympiad-level questions, eg #3,6s on difficult Olympiad contests. <br />
# Problems occasionally even unsuitable for normal grade school level competitions due to being exceedingly tedious/long/difficult (eg very few students are capable of solving, even on a worldwide basis), or involving techniques beyond high school level mathematics. <br />
<br />
<br />
== Find more information ==<br />
<br />
* <url>viewtopic.php?p=1565063#1565063 Forum discussion of wiki entry </url><br />
<br />
[[Category:Mathematics competitions]]</div>Chichihttps://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:Competition_ratings&diff=32418AoPS Wiki:Competition ratings2009-07-18T23:51:04Z<p>Chichi: /* APMO */</p>
<hr />
<div>This page contains an approximate estimation of the difficulty level of various competitions. <br />
<br />
<br />
If you have some experience with mathematical competitions, we hope that you can help us make the difficulty rankings more accurate. Currently, the system is on a scale from 1 to 10 where 1 is the easiest level, i.e. [http://www.mathlinks.ro/resources.php?c=182&cid=44 early AMC] problems and 10 is hardest level, i.e. [http://www.mathlinks.ro/resources.php?c=37&cid=47 China IMO Team Selection Test.] When considering problem difficulty put more emphasis on problem-solving aspects and less so on technical skill requirements.{{ref|1}}<br />
<br />
== Voting ==<br />
<br />
=== [[MOEMS]] ===<br />
<br />
=== [[Mathcounts]] ===<br />
<br />
=== [[AMC 8]] ===<br />
<br />
* Problem 1 - Problem 12: 1 <br />
* Problem 3 - Problem 25: 2<br />
<br />
=== [[AMC 10]] ===<br />
<br />
* Problem 1 - 5: 1<br />
* Problem 6 - 22: 2<br />
* Problem 18 - 25: 3<br />
<br />
=== [[AMC 12]] ===<br />
<br />
* Problem 1-5: 2<br />
* Problem 3-18: 3<br />
* Problem 22-25: 4<br />
<br />
=== [[AIME]] ===<br />
<br />
* Problem 1 - 5: 3<br />
* Problem 5 - 10: 4 <br />
* Problem 11 - 15: 5<br />
* Problem 14 - 15: 6<br />
<br />
=== [[ARML]] ===<br />
<br />
* Individuals, Problem 1-5,7,9: 3<br />
* Individuals, Problem 6,8: 4<br />
* Individuals, Problem 10: 6<br />
<br />
=== [[HMMT]] ===<br />
<br />
* Individuals, Problem 1-5: 4<br />
* Individuals, Problem 6-10: 5<br />
<br />
=== [[JBMO]] ===<br />
<br />
* Problem 1: 4<br />
* Problem 2: 5<br />
* Problem 3: 5<br />
* Problem 4: 6<br />
<br />
=== [[IMO Shortlist]] ===<br />
<br />
=== [[USAMO]] ===<br />
<br />
* Problem 1/4: 5.5<br />
* Problem 2/5: 7<br />
* Problem 3/6: 8.5<br />
<br />
=== [[APMO]] ===<br />
1: 6.5<br />
2: 7<br />
<br />
=== [[All-Russian Olympiad]] ===<br />
<br />
=== [[USA TST]] ===<br />
<br />
(seems to vary more than other contests; estimates based on 08 and 09)<br />
<br />
* Problem 1/4/7: 7.5<br />
* Problem 2/5/8: 8<br />
* Problem 3/6/9: 8.5<br />
<br />
=== [[Iran TST]] ===<br />
<br />
=== [[China TST]] ===<br />
<br />
* Problem 1/4: <br />
* Problem 2/5: <br />
* Problem 3/6: 8<br />
<br />
=== [[IMO]] ===<br />
<br />
* Problem 1/4: 6.5<br />
* Problem 2/5: 7.5<br />
* Problem 3/6: 9<br />
<br />
=== [[Putnam]] ===<br />
<br />
=== [[Miklós Schweitzer]] ===<br />
<br />
* Problem 1-3: <br />
* Problem 4-6: <br />
* Problem 7-9: <br />
* Problem 10-12:<br />
<br />
== Subjective ==<br />
<br />
=== AMC 8 ===<br />
<br />
* Problem 1 - Problem 12: 1<br />
* Problem 3 - Problem 25: 2<br />
<br />
=== AMC 10 ===<br />
<br />
* Problem 1 - Problem 12:<br />
* Problem 3 - Problem 25:<br />
<br />
=== AMC 12 ===<br />
<br />
* Problem 1 - Problem 12:<br />
* Problem 3 - Problem 25:<br />
<br />
=== AIME ===<br />
<br />
* Problem 1 - Problem 5: 4<br />
* Problem 5 - Problem 10: 5 <br />
* Problem 11 - Problem 15: 6<br />
<br />
=== JBMO ===<br />
<br />
* Problem 1: 4<br />
* Problem 2: 5<br />
* Problem 3: 5<br />
* Problem 4: 6<br />
<br />
=== USAMO ===<br />
<br />
* Problem 1/4: 5.5<br />
* Problem 2/5: 7<br />
* Problem 3/6: 8.5<br />
<br />
=== IMO ===<br />
<br />
* Problem 1/4: 6.5<br />
* Problem 2/5: 7.5<br />
* Problem 3/6: 9<br />
<br />
=== China TST ===<br />
<br />
* Problem 1/4: 6.5<br />
* Problem 2/5: 7.5<br />
* Problem 3/6: 8,9<br />
<br />
=== Miklós Schweitzer ===<br />
<br />
* Problem 1-3: <br />
* Problem 4-6: <br />
* Problem 7-9: <br />
* Problem 10-12:<br />
<br />
== Scale ==<br />
{{ref|1}}All levels estimated and refer to ''averages''. The following is a rough standard based on the USA tier system AMC 8 – AMC 10 – AMC 12 – AIME – USAMO, representing Middle School – Junior High – High School – Challenging High School – Olympiad levels. Other contests can be interpolated against this. <br />
<br />
# Problems strictly for beginners, on the easiest elementary school or middle school levels. Examples would be MOEMS, easy Mathcounts questions, #1-20 on AMC 8s, very easy AMC 10/12 questions, and others that involve standard techniques introduced up to the middle school level<br />
# For motivated beginners, harder questions from the previous categories (hardest middle-school level questions, #5-20 on AMC 10, #5-10 on AMC 12, easiest AIME questions, etc).<br />
# For those not too familiar with standard techniques, #21-25 on AMC 10, #11-20ish on AMC 12, #1-5 on AIMEs, and analogous contests. <br />
# Intermediate-leveled problem solvers, the most difficult questions on AMC 12s (#22-25s), more difficult AIME-styled questions #6-10<br />
# Difficult AIME problems (#10-13), others, simple proof-based problems (JBMO etc)<br />
# High-leveled AIME-styled questions, not requiring proofs (#12-15). Introductory-leveled Olympiad-level questions (#1-4s).<br />
# Intermediate-leveled Olympiad-level questions, #1,3s that require more technical knowledge than new students to Olympiad-type questions have, easier #2,4s, etc. <br />
# High-level difficult Olympiad-level questions, eg #2,4s on difficult Olympiad contest and easier #3,6s, etc. <br />
# Difficult Olympiad-level questions, eg #3,6s on difficult Olympiad contests. <br />
# Problems occasionally even unsuitable for normal grade school level competitions due to being exceedingly tedious/long/difficult (eg very few students are capable of solving, even on a worldwide basis), or involving techniques beyond high school level mathematics. <br />
<br />
<br />
== Find more information ==<br />
<br />
* <url>viewtopic.php?p=1565063#1565063 Forum discussion of wiki entry </url><br />
<br />
[[Category:Mathematics competitions]]</div>Chichi