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Competitions

Next Test Date

The AMC-8 will be held on January 18th, 2022.

How to Register

Registration info

Participants can register and pay for the competition by following this link.

Eligibility

Students with a passion for problem-solving who are in grade 8 or below and under 14.5 years of age on the day of the competition are eligible to participate in the AMC 8.

The UCI Math Circle will offer the AMC 8 test only to its participants. Students in Grade 8 and below who are not planning on attending the UCI Math Circle in Fall 2020 should consult the MAA website (here) for a list of additional locations.

Registration Fee

There is a $20 registration fee for taking the test with the UCI Math Circle to cover administrative expenses and costs for other events. There will be no refund for cancellations or no-shows.

What is the AMC 8?

Test Info

The AMC 8 is a 25-question, 40-minute, multiple-choice examination in middle school mathematics designed to promote the development and enhancement of problem-solving skills. The material covered on the AMC 8 includes topics from a typical middle school mathematics curriculum. Possible topics include (but are not limited to): Counting and Probability, Estimation, Proportional Reasoning, Elementary Geometry (including the Pythagorean Theorem), Spatial Visualization, Everyday Applications, and Reading and Interpreting Graphs and Tables. In addition, some of the later questions may involve Linear or Quadratic Functions and Equations, Coordinate Geometry, and other topics traditionally covered in a beginning algebra course.

Additional Information

For more information about the AMC 8, visit American Mathematics Contest 8 website.

Practice Problems

The AMC8, called the AJHSME until 2000, began in 1985. The "Art of Problem Solving" website maintains a record of all the previous competitions, from 1985 to present. See: Art of Problem Solving

These additional resources may also help you to prepare for the types of questions that can be found on the AMC 8exam:

Finally, you may be interested in the AMC Advantage, a collection of problems designed to improve problem-solving skills and get students ready for the competition. To sign-up for the online self-paced course and get more information, go to https://amc.edfinity.com


Next Test Date

The AMC 10 and AMC 12 competitions are administered on the same days throughout the country:

  • AMC 10/12 A Competition Date: November 10, 2021
  • The AMC 10/12A competition will take place on Wednesday, November 10th. Please register and pay here.

  • AMC 10/12 B Competition Date: November 16, 2021
  • The AMC 10/12B competition will take place on Tuesday, November 16th. Please register and pay here.

    How to register

    Eligibility

    The AMC 10 test covers the high school curriculum up to 10th grade. To take the AMC 10, a student must be in grade 10 or below and under 17.5 years of age on the day of the contest.

    The AMC 12 test covers the entire high school curriculum including trigonometry, advanced algebra, and advanced geometry, but excluding calculus . To take the AMC 12, a student must be in grade 12 or below and under 19.5 years of age on the day of the contest.

    As long as they are eligible, students can take both the AMC 10 and the AMC 12. Each test is offered twice a year (test A and test B). Students can take both tests if they want. Possible options: AMC 10A and AMC 10B, AMC 10A and AMC 12B, AMC 12A and AMC 10B, AMC 12A amd AMC 12B. Or you can choose only one test (for example, only AMC 12B).

    The UCI Math Circle will offer the AMC 10/12 tests only to its participants.

    Registration Fee

    There is a $20 registration fee for taking the test with the UCI Math Circle to cover administrative expenses and costs for other events. There will be no refund for cancellations or no-shows.

    What is the AMC 10/12?

    Test Info

    The AMC 10 and AMC 12 are both 25-question, 75-minute multiple choice examinations in high school mathematics designed to promote the development and enhancement of problem-solving skills.

    Difference between the A and B tests

    Both the A and the B versions of the AMC 10 and the AMC 12 have the same number of questions, the same scoring, and the same rules for administration. The only differences are the competition dates and that each version has a distinct set of questions, although the two examinations are designed to be equal in difficulty and distribution of topics.

    Additional Information

    For more information about the AMC 10/12, visit American Mathematics Contest 10/12 website.

    Practice Problems

    "The Art of Problem Solving" (https://artofproblemsolving.com) which offers an Online Forum for mathematics students to collaborate and develop a community of pears. For an extensive collection of previous tests, go to https://artofproblemsolving.com/community/c3158_usa_contests

    These additional resources may also help you to prepare for the types of questions that can be found on the AMC 10/12 exam:

    Finally, you may be interested in the AMC Advantage, a collection of problems designed to improve problem-solving skills and get students ready for the competition. To sign-up for the online self-paced course and get more information, go to https://amc.edfinity.com


    Next Test

    The fall tests were a great success, and we are currently working on obtaining official results! The next O-level competition will be on Sunday, 6 March 2022 from 9 AM to 1:00 PM. This will be administered virtually via Zoom. Anyone interested in taking part in the O-level competition should register here. The next A-level competition will be on Sunday, 20 March 2022 from 9 AM to 2:00 PM. This will also be administered virtually via Zoom. Anyone interested in taking part in the A-level competition should register here.

    Questions? Ask the local Organizers Andrei () or Matthew ()

    What is the Tournament of the Towns?

    Background

    The Tournament of the Towns (ToT) is one of the most open and at the same time most prestigious mathematical contests with participants from over 100 cities in different countries. This tournament differs from other math competitions in that the problems require ingenuity rather than any kind of special knowledge or technical skills. The problems are mostly combinatorial, with an occasional geometry, number theory or algebra problem. They have a different flavor from problems seen in other mathematics competitions, and are usually quite challenging but fun. Some of the problems have become classics, in particular two from the Autumn 1984 paper.

    History

    The International Tournament of the Towns was established in the late 1970s in Russia. Professor N. Konstantinov, the inspirational leader and organizer of the Tournament, is also the Chairman of the Central Committee in Moscow. About 100,000 students from 120+ towns and 25 countries participate every year.

    ToT in Irvine

    While popular in Europe, Tournament of the Towns is slow to make its way in the US. Irvine is only the second US city (after Berkeley) to take part and is noted as one of very few worldwide where it was started by students' initiative.

    Test Info

    Eligibility

    The Tournament of the Towns is especially good for students who think deeply but require a lot of time to solve a problem. In this competition, students have 4-5 hours to solve any 3 out of 5-7 problems. Also, scores are multiplied by a certain coefficient, which increases as grade level decreases, up to a maximum of 2 for students in grades 7 and under. Thus, younger students have a strong advantage in this competition. There are two levels of difficulty in the Tournament of the Towns: A and O. Some problems of the A Level are as challenging as problems of the International Mathematical Olympiad. The main purpose of the O Level is to attract every student interested in mathematics. However, the O level is still very challenging. There are also two levels of participation: Senior (grade 11-12) and Junior (grades 8-10). The competition is best for students in grades 8-12 but exceptionally strong younger students may also participate.

    Structure

    There are four competitions every year: O and A level, each in the Fall and in the Spring. Everyone can participate in one or more, up to all four. Everyone's score is the highest of the four. Irvine's score is the sum of the top five participants' scores.

    Prizes

    Diplomas will be awarded by the Central Committee to students who have achieved high scores (after their papers have been rechecked by the Central Jury). The highest scorers at the Senior level will be invited to the annual international ToT summer conference where they will participate in team research projects.

    Past Winners

    2019-2020 Winners

    Overall Winners:
    • Senior: Andrei Mandelshtam (11th grade, University High), 23.75 (A level)
    • Junior: Sang Hyuk Im (8th grade, Homeschooled), 16.5 (A level)

    As a result of his high score at the Senior level, Andrei was invited and plans to participate in the 32nd research conference of the International Mathematical Tournament of the Towns. See here

    Other International Winner Diplomas:

    Junior:

    • Sushanth Sathish Kumar (Gr. 10, Portola High) (O level)
    • Ming Qi (Gr. 9, University High) (O level)

    Other 10+ scorers:

    Junior:

    • Ethan Yao (Gr. 10, University High) (O level)

    2018-2019 Winners

    Overall Winners:
    • Senior: Andrei Mandelshtam (10th grade, University High), 23.75 (A level)
    • Junior: Sushanth Sathish Kumar (9th grade, Portola High), 18.67 (A level)

    As a result of his high score at the Senior level, Andrei was invited to participate in the 31st research conference of the International Mathematical Tournament of the Towns.

    Other High Scores:
    • Yuan Lu, 10th grade, University High School
    • Ethan Yao, 9th grade, University High School
    • Eric Lee, 9th grade, Corona Del Mar
    • Hongmin Kang, 10th grade, University High School

    2017-2018 Winners

    Overall Winners:
    • Senior: Andrei Mandelshtam (9th grade, University High), 32.5 (A level)
    • Junior: Neel Basu (9th grade, University High), 17.33 (O level)
    Other International Winner Diplomas:
    • Senior:
      • Artyom Lisitsyn (Gr. 11, Oxford Academy) (A level)
      • Michael Diao (Gr. 11, University High) (A level)
    • Junior:
      • Surya Subbarao (Gr. 8, Sierra Vista) (A level)
    Other 5+ scorers:
    • Senior:
      • Luyang Zhang, 11th grade, University High School
      • Mirabel Hu, 10th grade, University High School
    • Junior:
      • Henry Ding, 7th grade, Jeffrey Trail Middle School
      • Imaad Rana, 8th grade
      • Yifeng Lin, 9th grade, University High School
      • Selene Huang, 9th grade

    2016-2017 Winners

    Overall Winners:
    • Senior: Artyom Lisitzyn (10th grade, Oxford Academy), 22.5 (Fall A-level)
    • Junior: Andrei Mandelshtam (8th grade, Vista Verde): 40.5 (Spring A-level)

    As a result of his high score at the Senior level, Artyom was an invited participant of the 29th summer conference of the International Mathematical Tournament of the Towns. See here

    Andrei had the highest score at the Jr. level, worldwide!

    International 18+ Certificate Winners:
    • Junior:
      • Eric Lee, (Gr 7, Corona Del Mar), 22 (Spring O-level)
      • Neel Basu, (Gr. 8, Rancho), 21 (O-level)
      • Surya Subbarao (Gr. 7, Sierra Vista), 18 (Spring O-level)
    10-20 Certificate Winners:
    • Junior:
      • Dhruba Basu (Gr 10, University High)
      • Doyoon Kim (Gr. 8, Orchard Hills)

    2015-2016 Winners

    Overall Winners:
    • Senior: Dillon Kanne (11th grade, Sage), 18.75 (A-level)
    • Junior: Andrei Mandelshtam (7th grade, Vista Verde): 24 (A-level)
    International 15-20 Certificate Winners:
    • Artyom Lisitsyn (Gr. 9, Oxford Academy)17.5 (A-level)
    International 10-15 Certificate Winners:
    • Junior: Eric Lee (Gr. 5), Neel Basu (Gr. 7, Rancho)
    5-10 Certificate Winners:
    • Junior: Dhruba Basu (Gr 9, University High)

    2014-2015 Winners

    Overall Winners:
    • Samuel Reinehr (12th grade, Homeschool): 30 (Perfect score in A-level!)
    • Junior: Andrei Mandelshtam (6th grade, Vista Verde): 24
    Additional international 15+ Certificate Winners:
    • Senior: Jack Sun (Gr. 10, University High), Yelena Mandelshtam (Gr. 12, University High)
    • Junior: Artyom Lisitsyn (Gr. 8, Oxford Academy)
    10-15 Certificate Winners:
    • Senior: Jamie Gu (Gr. 11, University High), Dillon Kanne (Gr. 10, Sage)
    • Junior: Anthon Than (Gr. 8, Fulton), Eric Lee (Gr. 5), Kieth Bauer (Gr. 5)
    5-10 Certificate Winners:
    • Junior: Jimin Kim (Gr 7, Jeffrey Trail)

    2013-2014 Winners

    Artyom Lisitsyn (Gr 7, Oxford Academy) is the overall winner of the Fall 2013 tournament, with 24 points at Jr A level!

    Perfect scorers O-level:
    • Jason Ye (Gr 9, University High, Jr)
    • Yelena Mandelshtam (Gr 11, University High, Sr)
    Additional 15+ certificate winners:
    • Yunyang Sun (Gr 9, University High, Sr)
    • Haoqin Gu (Gr 10, University High, Sr)
    • Jerry Park (Gr 11, University High, Sr)
    • Dillon Kanne (Gr 9, Sage Hill, Jr)
    • Andrei Mandelshtam (Gr 5, Vista Verde, Jr)
    10-15 Certificate Winners:
    • Angela Dong (Gr 9, University High, Jr)
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    The Formulo 2021-2022 round 1 will be held from October 20 to November 10 by correspondence. More detailed information will be available closer to the start date. See here for a description of the competition and further details.
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