Category Archives: Math Competitions

Cutoff scores for AIME qualification in 2016

The following are cutoff scores for AIME qualification in 2016:

2016 AMC 10A

  • Average score: 64.73
  • AIME floor: 110

2016 AMC 12A

  • Average score: 59.06
  • AIME floor: 92

2016 AMC 10B

  • Average score: 67.79
  • AIME floor: 110

2016 AMC 12B

  • Average score: 70.90
  • AIME floor: 100

See more details at: http://amc-reg.maa.org/reports/generalreports.aspx

Cutoff scores from 2009 to 2015 can be found at: AMC 10/12 Historical Results

Click HERE find out more about Math Competitions!

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Our Uniqueness

We have a long history of close collaboration with the MAA‘s American Mathematics Competitions (AMC), which are dedicated to strengthening the mathematical capabilities of our nation’s youth, and are the first of a series of competitions in high school mathematics that determine the United States team for the International Mathematical Olympiad (IMO). There are many math competitions in the United States. Of those, only AMC → AIME → USAMO sequence would take you to the IMO (International Math Olympiad), the highest level math competition for high school students in the world. We are only one in the Washington DC metropolitan area to offer elementary, middle, and high-school level competition math courses. Our students have received top scores and awards at prestigious national and math competitions. We have collected all AMC8/10/12 and AIME Official Problems and Official Solutions as shown in the article ” American Mathematics Competitions (AMC) Materials,” which have formed our “big data” system, a golden resource for our students, who are the ultimate beneficiaries.

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2016 AMC 12B Problems and Answers

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The 2016 AMC 12B was held on February 17, 2016. At over 4,000 U.S. high schools in every state, more than 300,000 students were presented with a set of 25 questions rich in content, designed to make them think and sure to leave them talking.

Each year the AMC 10 and AMC 12 are on the National Association of Secondary School Principals’ Advisory List of Contests and Activities. Many top colleges also request AMC scores as part of the college application process. Both MIT and Caltech have entry blanks on their official admission application forms for the applicant to enter their best AMC and AIME scores. Ivy League Colleges and Stanford ask for to the AMC and AIME scores in their Supplement to the Common Application Forms. Your children deserve the chance to list these scores on their applications! Good AMC scores will greatly enhance admission opportunities for students to elite colleges.

Mathematics is increasingly important in our technological and scientific age. Taking more mathematics in high school is the gateway to jobs and careers of all kinds, even those that are not explicitly mathematical, scientific, or technological. Participating in the AMC contests can challenge and inspire students to learn more mathematics!

The 2016 AMC 12B Problems and Answers have been posted below. You can click the following to download them:

More details can be found at:

amclogocolors

Click HERE find out more about Math Competitions!

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Our Uniqueness

We have a long history of close collaboration with the MAA‘s American Mathematics Competitions (AMC), which are dedicated to strengthening the mathematical capabilities of our nation’s youth, and are the first of a series of competitions in high school mathematics that determine the United States team for the International Mathematical Olympiad (IMO). There are many math competitions in the United States. Of those, only AMC → AIME → USAMO sequence would take you to the IMO (International Math Olympiad), the highest level math competition for high school students in the world. We are only one in the Washington DC metropolitan area to offer elementary, middle, and high-school level competition math courses. Our students have received top scores and awards at prestigious national and math competitions. We have collected all AMC8/10/12 and AIME Official Problems and Official Solutions as shown in the article ” American Mathematics Competitions (AMC) Materials,” which have formed our “big data” system, a golden resource for our students, who are the ultimate beneficiaries.

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2016 AMC 10B Problems and Answers

The 2016 AMC 10B was held on Feb. 17, 2016. Over 250,000 students from over 4,100 U.S. and international schools attended the 2016 AMC 10B contest and found it very fun and rewarding. Top 10, well-known U.S. universities and colleges, including internationally recognized U.S. technical institutions, ask for AMC scores on their application forms. Your children deserve the chance to list these scores on their applications!

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The 2016 AMC 10B Problems and Answers have been posted below. You can click the following to download them:

More details can be found at:

amclogocolors

Click HERE find out more about Math Competitions!

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AMC

 

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USAMO and USAJMO Qualification Indices from 2010 to 2024

Selection to the USAMO is based on the USAMO index which is defined as AMC 12 Score plus 10 times AIME Score.

Selection to the USAJMO is based on the USAJMO index which is defined as AMC 10 Score plus 10 times AIME Score.

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The AIME is a 15 question, 3 hour exam taken by high scorers on the AMC 10 and AMC 12. 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. No partial credit is given. Thus AIME scores are integers from 0 to 15 inclusive.

Both the AMC 10 and AMC 12 are 25 question, 75 minute multiple choice contests. The AMC 10/12 is scored in a way that penalizes guesses. Correct answers are worth 6 points, incorrect questions are worth 0 points, and unanswered answers are worth 1.5 points, to give a total score out of 150 points.

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Recent USAMO and USAJMO Qualification Indices

Year AMC 12 AMC 10 Total number of qualifiers
2024 USAMO cutoff with AIME I: 245 (AMC 12A), 248 (AMC 12B)

USAMO cutoff with AIME II: 220 (AMC 12A), 228 (AMC 12B)

USAJMO cutoff with AIME I: 236 (AMC 10A), 232 (AMC 10B)

USAJMO cutoff with AIME II: 230 (AMC 10A), 220 (AMC 10B)

2023 USAMO cutoff with AIME I: 223 (AMC 12A), 227 (AMC 12B)

USAMO cutoff with AIME II: 214.5 (AMC 12A), 226 (AMC 12B)

USAJMO cutoff with AIME I: 194 (AMC 10A), 190.5 (AMC 10B)

USAJMO cutoff with AIME II: 188 (AMC 10A), 180 (AMC 10B)

2022 USAMO cutoff with AIME I: 222 (AMC 12A), 227.5 (AMC 12B)

USAMO cutoff with AIME II: 208.5 (AMC 12A), 203 (AMC 12B)

USAJMO cutoff with AIME I: 203.5 (AMC 10A), 190.5 (AMC 10B)

USAJMO cutoff with AIME II: 196.5 (AMC 10A), 182 (AMC 10B)

2021 USAMO cutoff with AIME I: 229.5 (AMC 12A), 231.5 (AMC 12B)

USAMO cutoff with AIME II: 238 (AMC 12A), 238 (AMC 12B)

USAJMO cutoff with AIME I: 217 (AMC 10A), 213 (AMC 10B)

USAJMO cutoff with AIME II: 223 (AMC 10A), 214.5 (AMC 10B)

2020 USAMO cutoff with AIME I: 233.5 (AMC 12A), 235 (AMC 12B)

USAMO cutoff with AIME II: 234 (AMC 12A), 234.5 (AMC 12B)

USAJMO cutoff with AIME I: 229.5 (AMC 10A), 230 (AMC 10B)

USAJMO cutoff with AIME II: 233.5 (AMC 10A), 229.5 (AMC 10B)

2019 USAMO cutoff with AIME I: 220 (AMC 12A), 230.5 (AMC 12B)

USAMO cutoff with AIME II: 230.5 (AMC 12A), 236 (AMC 12B)

USAJMO cutoff with AIME I: 209.5 (AMC 10A), 216 (AMC 10B)

USAJMO cutoff with AIME II: 216.5 (AMC 10A), 220.5 (AMC 10B)

2018 USAMO cutoff with AIME I: 215 (AMC 12A), 235 (AMC 12B)

USAMO cutoff with AIME II: 216 (AMC 12A), 230.5 (AMC 12B)

USAJMO cutoff with AIME I: 222 (AMC 10A), 212 (AMC 10B)USAJMO cutoff with AIME II: 222 (AMC 10A), 212 (AMC 10B)
2017 USAMO cutoff with AIME I: 225.5 (AMC 12A), 235 (AMC 12B)

USAMO cutoff with AIME II: 221 (AMC 12A), 230.5 (AMC 12B)

USAJMO cutoff with AIME I: 224.5 (AMC 10A), 233 (AMC 10B)

USAJMO cutoff with AIME II: 219 (AMC 10A), 225 (AMC 10B)

280 USAMO; 208 USAJMO
2016 220.0 for USAMO with AIME I, 205.5 for USAMO with AIME II 210.5 for USAJMO with AIME I, 200.0 for USAJMO with AIME II 318 USAMO; 198 USAJMO
2015 219.0 for USAMO with AIME I, 229.0 for USAMO with AIME II 213.0 for USAJMO with AIME I, 223.5 for USAJMO with AIME II 286 USAMO; 244 USAJMO
2014 211.5 for USAMO 211.0 for USAJMO 266 USAMO; 231 USAJMO
2013 209.0 for USAMO 210.5 for USAJMO 264 USAMO; 231 USAJMO
2012 204.5 for USAMO 204.0 for USAJMO 268 USAMO; 233 USAJMO
2011 188.0 (AIME I); 215.5 (AIME II) for USAMO 179.0 (AIME I); 196.5 (AIME II) for USAJMO 282 USAMO; 222 USAJMO
2010 208.5 (USAMO); 204.5 (USAMO—11th and 12th) 188.5 (USAJMO) or 11/15 on AIME (USAMO) 277 USAMO; 235 USAJMO

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Click HERE find out more about Math Competitions!

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2016 AMC 12A Problems and Answers

2015_AMC12_AThe 2016 AMC 12A was held on February 2, 2016. At thousands of schools in every state, more than 350,000 students were presented with a set of 25 questions rich in content, designed to make them think and sure to leave them talking.

Each year the AMC 10 and AMC 12 are on the National Association of Secondary School Principals’ Advisory List of Contests and Activities. Many top colleges also request AMC scores as part of the college application process. Both MIT and Caltech have entry blanks on their official admission application forms for the applicant to enter their best AMC and AIME scores. Ivy League Colleges and Stanford ask for to the AMC and AIME scores in their Supplement to the Common Application Forms. Your children deserve the chance to list these scores on their applications! Good AMC scores will greatly enhance admission opportunities for students to elite colleges.

Mathematics is increasingly important in our technological and scientific age. Taking more mathematics in high school is the gateway to jobs and careers of all kinds, even those that are not explicitly mathematical, scientific, or technological. Participating in the AMC contests can challenge and inspire students to learn more mathematics!

We post the 2016 AMC 10A Problems and Answers below. You can click the following to download them:

More details can be found at:

amclogocolors

Click HERE find out more about Math Competitions!

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Our Uniqueness

We have a long history of close collaboration with the MAA‘s American Mathematics Competitions (AMC), which are dedicated to strengthening the mathematical capabilities of our nation’s youth, and are the first of a series of competitions in high school mathematics that determine the United States team for the International Mathematical Olympiad (IMO). There are many math competitions in the United States. Of those, only AMC → AIME → USAMO sequence would take you to the IMO (International Math Olympiad), the highest level math competition for high school students in the world. We are only one in the Washington DC metropolitan area to offer elementary, middle, and high-school level competition math courses. Our students have received top scores and awards at prestigious national and math competitions. We have collected all AMC8/10/12 and AIME Official Problems and Official Solutions as shown in the article ” American Mathematics Competitions (AMC) Materials,” which have formed our “big data” system, a golden resource for our students, who are the ultimate beneficiaries.

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2016 AMC 10A Problems and Answers

The 2016 AMC 10A was held on Feb 2, 2016. Over 210,000 students from over 4,100 U.S. and international schools attended the 2016 AMC 10A contest and found it fun and rewarding. Top 10, well-known U.S. universities and colleges, including internationally recognized U.S. technical institutions, ask for AMC scores on their application forms. Your children deserve the chance to list these scores on their applications!
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Now we can post the 2016 AMC 10A Problems and Answers below. You can click the following to download them:

More details can be found at:

amclogocolors

Click HERE find out more about Math Competitions!

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AMC

 

Online Courses

  1. Online AMC10/12/AIME Prep Coaching
  2. Online SAT Critical Reading and Writing Tutoring/Coaching
  3. Online SAT Math 800 Tutoring and Coaching
  4. Online SAT Mock Test
  5. SAT Essay Scoring and Feedback

Click HERE find out more about Math Competitions!

Click HERE to find out more about SAT Prep!

Online AMC 8/10/12/AIME Prep Coaching

Registration and PAYMENT for One-on-One Private Individualized AMC 8/10/12/AIME Prep Coaching

Online Registration is now open! Click HERE to register and make payment.

AMC 8 Prep (1-on-1 Individualized) Coaching/Tutoring
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20-Hour Package for AMC 8 Prep
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30-Hour Package for AMC 8 Prep
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AMC 10/12 Prep (1-on-1 Individualized) Coaching/Tutoring
10-Hour Package for AMC10/12 Prep
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20-Hour Package for AMC10/12 Prep
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30-Hour Package for AMC10/12 Prep
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AIME Prep (1-on-1 Individualized) Coaching/Tutoring
10-Hour Package for AIME Prep
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20-Hour Package for AIME Prep
$3,980 Buy Now Button
30-Hour Package for AIME Prep
$5,940 Buy Now Button
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Click HERE find out more about Math Competitions!

Bronze_medalOur Students

In 2018, we had 73 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. Two of our students was among the 35 Perfect Scorers worldwide on the AMC 10A: Austen M. and Jason W.  and two of our students were among the 21 Perfect Scorers worldwide on the AMC 12B: Kaan D. and Edward W. Remarkably, 11 middle schoolers and 2 elementary schoolers qualified for the AIME!

Our students earned top scores on the 2017 AMC 8 contest!

  • of our students were among the top 75 National Winners (Perfect Scorers).
  • 34 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers, as shown in Table 2.
  • 22 students received National Honor Roll Certificates awarded to top 5% test takers, as shown in Table 3.
  • 63 out of our 65 students(97%) received National Awards for the AMC 8 from the Mathematical Association of America

Read more at: 2017 AMC 8 Results Just Announced — Seven Students Received Perfect Scores

In 2017, we have 61 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. One of our students was among the 28 Perfect Scorers worldwide on the AMC 10A: Austen M., and two of our students were among the 65 Perfect Scorersworldwide on the AMC 10B: Ashwin A. and Brad Z. Remarkably, eight middle schoolers and one elementary schooler qualified for the AIME, which is geared toward high school students. Very impressively, Bryan Z., a 6th grader, gained a score of 132 out of 150 on the AMC 10B.
Read more at: 2017 AIME Qualifiers Announced — 61 Students Qualified for the AIME

In 2016, we have 36 students who are qualified to take AIME either through AMC 10A/12A or AMC 10B/12B. One of our students was among the 23 Perfect Scorers worldwide on the AMC 10A: Joel (Junyao) T. Particularly, seven middle schoolers and one elementary schooler qualified for the AIME, which is geared toward high school students. Pravalika P., a 6th grader, got a 115.5 out of 150 on the AMC10B, which is very impressive. Read more at: 2016 AIME Qualifiers Announced — 36 Students Qualified for AIME

From 2011 to 2015, in total, 37 students scored above 120 on the American Mathematics Contest 10 (AMC 10) and qualified for the American Invitational Mathematics Examination (AIME); 26 students scored above 100 on the American Mathematics Contest 12 (AMC 12) and qualified for the American Invitational Mathematics Examination (AIME); 3 students qualified for the USA Mathematical Olympiad (USAMO), the highest level of math competition for high school students in the USA. Read more at: Notable Achievements of Our Students

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Our Uniqueness

We have a long history of close collaboration with the MAA‘s American Mathematics Competitions (AMC), which are dedicated to strengthening the mathematical capabilities of our nation’s youth, and are the first of a series of competitions in high school mathematics that determine the United States team for the International Mathematical Olympiad (IMO).

We are only one in the Washington DC metropolitan area to offer elementary, middle, and high-school level competition math courses. Our students have received top scores and awards at prestigious national and math competitions.

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AMC 10/12 Historical Results of Cutoff Scores from 2000 to 2024

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The following are cutoff scores for AIME qualification from 2000 to 2024.

Year AMC 10A AMC 10B AMC 12A AMC 12B
2024 94.5 105 76.5 88.5
2023 103.5 105 85.5 88.5
2022 93 94.5 85.5 81
2021 Fall 96 96  91.5 84
2021 Spring 103.5 102 93 91.5
2020 103.5 102 87 87
2019 103.5 108 84 94.5
2018 111 108 93 99
2017 112.5 120 96 100.5
2016 110 110 92 100
2015 106.5 120 99 100
2014 120 120 93 100
2013 108 120 88.5 93
2012 115.5 120 94.5 99
2011 117 117 93 97.5
2010 118.5 118.5 88.5 88.5
2009 120 120 97.5 100
2008 117 120 97.5 97.5
2007 117 115.5 97.5 100
2006 120 120 100 100
2005 120 120 100 100
2004 110 120 100 100
2003 119 121 100 100
2002 115 118 100 100
AMC 10 AMC 12
2001 116 84
2000 110 92

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American Mathematics Contest 12 — AMC 12

2014124135627709The American Mathematics Contest 12 (AMC 12) is the first exam in the series of exams used to challenge bright students, grades 12 and below, on the path toward choosing the team that represents the United States at the International Mathematics Olympiad (IMO).

High scoring AMC 12 students are invited to take the more challenging American Invitational Mathematics Examination (AIME). The AMC 12 is administered by the American Mathematics Competitions (AMC). Two different versions of the contests are given on two dates, about two weeks apart, in February. All USA, USA embassy, Canadian, and foreign school students in grade 12 or below are eligible to participate as long as they are under 19.5 years of age on the day of the contest.

The AMC 12 used to be the American High School Mathematics Examination from 1951 to 1999.

Format

The AMC 12 is a 25 question, 75 minute multiple choice test. Problems generally increase in difficulty as the exam progresses. Ever since 2008, calculators have been banned from use during the test; however, calculators were never required to solve any problems, and students who do not use calculators were not disadvantaged.

The AMC 12 is scored in a way that penalizes guessing. Correct answers are worth 6 points, incorrect answers are worth 0 points, and unanswered questions are worth 1.5 points, to give a total score out of 150 points. From 2002 to 2006, the number of points for an unanswered question was 2.5 points and before 2002 it was 2 points. Students that score over 100 points or in the top 5% of the AMC 12 contest are invited to take the AIME.

Curriculum

The AMC 12 tests mathematical problem solving with arithmetic, algebra, counting, combinatorics, geometry, number theory, and probability and other secondary school math topics. Problems are designed to be solvable by students without any background in calculus. The AMC 12 is a 25-question, 75-minute, multiple choice examination in secondary school mathematics containing problems which can be understood and solved with pre-calculus concepts.

Click HERE find out more about Math Competitions!

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