2016 AIME I Problems and Answers

2016 AIME I CoverThe 2016 AIME I was held on March 3, 2016. 2,855 students from US and Canadian schools participated in this contest. The AIME is taken by students who achieved a score in the top 5% (approximately) on the AMC 12, and students who achieve a score of 120 or more (approximately the top 2.5%) on the AMC 10. We have 36 students this year who are qualified to take the AIME through the AMC 10 and the AMC 12. Read more at: 2016 AIME Qualifiers Announced — 36 Students Qualified for AIME

This contest leads to the USAJMO, USAMO, MOSP (Mathematical Olympiad Summer Program) and the selection of the USA team sent to the International Mathematical Olympiad (IMO), the premier international high school level problem solving contest. This year the IMO will be held in Hong Kong, July 6–16, 2016.

The AIME provides the exceptional students who are invited to take it with yet another opportunity to challenge their mathematical abilities. Like all examinations, it is a means towards furthering mathematical development and interest. The real value of the examination is in the learning that can come from the preparation beforehand and from further thought and discussion of the solutions.

The 2016 AIME I 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!

AAEAAQAAAAAAAAKeAAAAJDkzYTk2ZjE5LTk1YWQtNDBkNy1hZDhjLTVjOTA2YWQ2NmQ2Mw

 

 

 

 

 

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.

 

AIME_RGBAMC_Airlines_logo_svg

AIME-Logo

Online Intensive AIME Prep Course (Spring Session) Starting April 3

We will resume our Intensive AIME Prep Course (Spring Session) on April 3 to help students prepare for the AIME I — Tuesday, March 14, 2017 or AIME II — Wednesday, March 22, 2017

You can click the following links to find all the information about the class:

You are very welcome to sign up for our online AIME Prep class which offers a quick, efficient way for students to interact with teachers over long distance. We use Google Hangouts to video chat and easily connect with students to teach them our tricks and shortcuts to getting an amazing score on their contests, as well as offer them our guidance and support. Students can ask questions face-to-face, and can complete problems with the supervision of our teachers/coaches.

Spring Session
11 Weekends (Eastern Time: 3:00 – 5:30 pm), Total: 27.5 hours
4/3,     4/10,    4/17,   4/24 (Monthly Mock Test/Review)
5/1,      5/8,      5/15,    5/22 (Monthly Mock Test/Review)
6/5,      6/12,    6/19 (Final Mock Exam/Review)
Note: Excluding Memorial Day Weekend. 5/29: No Class

Instructor: Dr. Henry Wan

Tuition: $1275 (including all materials).

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

Buy Now Button

Payment Policy

  • Full payment must be received on or before the day of first class.

Refund Policy

  • Withdrawal before the first class: Full Refund
  • Withdrawal after the first class: $140 deduction
  • No refund after the second class

Click HERE find out more about Math Competitions!

Contact Information:
Ivy League Education Center
Tel:  301-922-9508     or        240-780-8828
Email:  chiefmathtutor@gmail.comeducation priceless treasure

beckmathclub-19-728logo

logo-aime

120 Full-length Official AMC Tests are a Golden Resource to Our AMC 10/12 Prep Program

amc-affiliate_logo-copy
American Mathematics Competitions 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 collected 120 full-length official AMC 10/12 tests containing 3,060 problems, as described in Table 1 and 2. Particularly, we extracted additional 3,000 brand new problems at the level of the AMC 10/12, taken from the licensed AMC Database. In addition, we also collected all official AMC 8/10/12 and AIME Solutions as shown in the article “American Mathematics Competitions (AMC) Materials.” All these materials have formed a golden resource for our students, who are the ultimate beneficiaries.

All problems from past AMC 10/12 exams (2000-2017) and AHSME (1950–1999) form our “big data” system. The AHSME (American High School Mathematics Examination) was the former name of the AMC, before 2000. Based on  artificial intelligence (AI), machine learning, and deep learning, we devised a data mining and predictive analytics tool for math problem similarity searching. Using this powerful tool, we examined the types, styles, frequencies, characteristics, and traits of questions in all these materials, and then completely “decoded” the AMC 10/12.

We always show all the “secret code” cracked from the above big data to our students, and teach them to totally grasp and “control” the AMC. For all questions on the recent AMC contests, we can find their “ancestors” and “roots” from the old AMC problems. Therefore, the best way to prepare for the contest is to practice by solving old AMC problems.

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

Table 1: List of Official AMC 10/12 Problem Sets

Year AMC 10 AMC 12
Problem Set Number of Problems Problem Set Number of Problems
2017 AMC 10A, 10B 50 AMC 12A, 12B 50
2016 AMC 10A, 10B 50 AMC 12A, 12B 50
2015 AMC 10A10B 50 AMC 12A, 12B 50
2014 AMC 10A10B 50 AMC 12A, 12B 50
2013 AMC 10A10B 50 AMC 12A, 12B 50
2012 AMC 10A10B 50 AMC 12A, 12B 50
2011 AMC 10A10B 50 AMC 12A, 12B 50
2010 AMC 10A10B 50 AMC 12A, 12B 50
2009 AMC 10A10B 50 AMC 12A, 12B 50
2008 AMC 10A10B 50 AMC 12A, 12B 50
2007 AMC 10A10B 50 AMC 12A, 12B 50
2006 AMC 10A10B 50 AMC 12A, 12B 50
2005 AMC 10A10B 50 AMC 12A, 12B 50
2004 AMC 10A10B 50 AMC 12A, 12B 50
2003 AMC 10A10B 50 AMC 12A, 12B 50
2002 AMC 10A10B10P 75 AMC 12A, 12B, 12P 75
2001 AMC 10 25 AMC 12 25
2000 AMC 10 25 AMC 12 25
Total 35 Problem Sets 875 Problems 35 Problem Sets 875 Problems

The American High School Mathematics Examination (AHSME) began in 1950, which was 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). The AHSME split into AMC10 and AMC12 in 2000.

Table 2: List of AHSME Problem Sets

Year Problem Set Number of Problems
1999 AHSME 30
1998 AHSME 30
1997 AHSME 30
1996 AHSME 30
1995 AHSME 30
1994 AHSME 30
1993 AHSME 30
1992 AHSME 30
1991 AHSME 30
1990 AHSME 30
1989 AHSME 30
1988 AHSME 30
1987 AHSME 30
1986 AHSME 30
1985 AHSME 30
1984 AHSME 30
1983 AHSME 30
1982 AHSME 30
1981 AHSME 30
1980 AHSME 30
1979 AHSME 30
1978 AHSME 30
1977 AHSME 30
1976 AHSME 30
1975 AHSME 30
1974 AHSME 30
1973 AHSME 35
1972 AHSME 35
1971 AHSME 35
1970 AHSME 35
1969 AHSME 35
1968 AHSME 35
1967 AHSME 40
1966 AHSME 40
1965 AHSME 40
1964 AHSME 40
1963 AHSME 40
1962 AHSME 40
1961 AHSME 40
1960 AHSME 40
1959 AHSME 50
1958 AHSME 50
1957 AHSME 50
1956 AHSME 50
1955 AHSME 50
1954 AHSME 50
1953 AHSME 50
1952 AHSME 50
1951 AHSME 50
1950 AHSME 50
Total 50 Problem Sets 1310 Problems

Click HERE find out more about Math Competitions!

1090007ad4f9061d818amctheatres_com-couponsAMC_logoamcAMCMaking%20Awesome%20Things%20Happen

Middle School Competitive Math (for 4th to 8th Graders) Weekend Course Spring Session Starting April 9

math-contestPurpose:
To help 4th-8th graders prepare for math competitions, such as AMC 8 (Tuesday, November 15, 2016),  MATHCOUNTS, Math Olympiads for Elementary and Middle Schools (MOEMS), Math KangarooMath League, and Continental Mathematics League (CML)

We will utilize the highly effective teaching model as described in the article: Small-sized Class Instruction-focused Model.

Spring Session
11
 Weekends (Time: 6:00 – 8:00 pm), Total: 22 Hours
4/9,        4/16,      4/23,        4/30 (Monthly Mock Test/Review
5/7,        5/14,       5/21,         5/28 (Monthly Mock Test/Review)
6/4,       6/11,        6/18 (Final Mock Exam/Review)

Tuition:
$660, including all materials and an extensive correction of the incorrect answers of all homework as described in the article: Homework Correction is very Important — We Give an Extensive Correction of the Incorrect Answers of All Homework. Click HERE to see a typical sample!

We offer discounts of $20 for those returning students who must have attended all winter session classes described at: Middle School Competition Math Weekend Course Winter Session Starting Jan 9.

Online Registration is now open! Click HERE to register.

A commitment to the whole course can maximize the benefit of learning all the math ideas, methods, strategies, tactics, skills, and techniques.

Locations: 
18206 Endora Cir, Germantown, MD 20841

Contact Information:
Ivy League Education Center
Tel:  301-922-9508     or        240-780-8828
Email:  chiefmathtutor@gmail.com

Instructor: Dr. Henry Wan

MiddleSchoolCompetitions

Description: Our curriculum focuses on advancing the mathematical skills of 4th-8th graders to prepare them for math competitions, such as Mathcounts, AMC 8, Math Olympiads for Elementary and Middle Schools (MOEMS), Math Kangaroo, and Math League. A variety of contest questions are used to teach students strategies to solve problems and help students prepare for the competitions. These problems stimulate their interest and enthusiasm for critical thinking and problem solving, broaden their mathematical intuition, and develop their brainpower. The topics taught in this class are not covered in regular school math classes, allowing our students to stay one step ahead.

Benefits:

  • 11 tutorial handouts (220 pages) developed by Dr. Henry Wan and 500 new problems similar to AMC 8/MathCounts level from the licensed AMC Database
  • 3 FREE mock tests, each of which has 25 questions taken from the licensed AMC Database
  • FREE registration for the AMC 8 Contest on Tuesday, November 15, 2016. 

Grade Levels: Grades 4-8

Read more at:

Class Outline: In Middle School Competitive Math Class, we will focus on efficient tricks, shortcuts, and strategies to solve competitive math problems as well as test-taking tactics. The emphasis of this class will be on problem-solving in fundamental discrete math, because it makes up a significantly larger portion of the questions on middle school math contests.

Class Date Topic
1 4/9, Sat Fractions, decimals, repeating/terminating, and conversions
2 4/16, Sat Exponents and Binary Numbers
3 4/23, Sat Radicals and Exponents
4 4/30, Sat Number Sense & Patterns
5 5/7, Sat Pascal’s Triangle, Pascal Patterns, Hockey Sticks
6 5/14, Sat Arithmetic Sequences and series
7 5/21, Sat Consecutive Integers
8 5/28, Sat Polygonal Numbers
9 6/4, Sat Geometric Sequences and Series
10 6/11, Sat Fibonacci Sequences and the Golden Ratio
11 6/18, Sat Variables, Expressions & Equations

Mock Test: Three simulated tests will help students assess their level of preparation for the Math Competitions. The test consists of 25 questions similar to AMC 8/MathCounts level from the licensed AMC Database, and is intended to mimic an actual math competition exam. After attempting the test, students get answers, explanations, and a detailed score report and wise performance summary.

Homework: On average, at least 2 hours per week, as described in the article: Homework assignments are a fundamental part of our courses. We will carefully review and check students’ homework, and correct any mistakes. Based on the student work, we will provide him/her with individualized help and support.

Click HERE to see a typical homework sample we developed.

DoTheMath

We have to face the simple truth that to do well on these grueling contests, we will need to practice. Just like it is for sports and music, the key to success is repetition and practice. We strongly believe in effort and the malleability of intelligence. Intelligence can be enhanced through effort. People can develop impressive levels of expertise through hard work and practice. Effort and persistence are the keys to success. Hard work always pays off: practice makes perfect!

All problems from past AMC 8 exams (1985-2015) and MathCounts (1990–2016) form our “big data” system. We have used data mining and predictive analytics to examine the types and the frequencies of questions in all these materials, and then completely “decoded” the AMC 8 and MathCounts. We will show all the “secret code” cracked from the above big data to students, and teach them to totally grasp and “control” the AMC and MathCounts. For all questions on the recent AMC/MathCounts contests, we can find their “ancestors” and “roots” from the old AMC/MathCounts problems. Therefore, the best way to prepare for the contest is to practice by solving old AMC/MathCounts problems.

https___img_evbuc_com_https%253A%252F%252Fcdn_evbuc_com%252Fimages%252F14806251%252F149172474682%252F1%252Foriginal

Main Purpose: Our main purpose is to help our students gain deeper understanding of the fundamental math concepts, build a solid foundation in math, and develop the critical thinking and problem-solving skills that are so valuable to success in any career. We are big believers in the FUNDAMENTALS! Our students will receive the LIFELONG BENEFITS from learning math.

Regardless of his/her math level, each student will have the opportunity to learn math in a fun, friendly, cooperative, supportive learning environment. The most important thing is to have fun.

Bronze_medal

Our Students

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

AAEAAQAAAAAAAAKeAAAAJDkzYTk2ZjE5LTk1YWQtNDBkNy1hZDhjLTVjOTA2YWQ2NmQ2Mw

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.

We have extracted 5,000 brand new problems at the level of the AMC 8 from the licensed AMC Database. In addition, we have also collected all AMC8/10/12 and AIME Official Solutions as shown in the article “American Mathematics Competitions (AMC) Materials.” All these materials have formed a golden resource for our students, who are the ultimate beneficiaries.

Click HERE find out more about Math Competitions!

education priceless treasure

 

3.jpgMathCompetition4

MAAUSASF

f1e0c415960f09cbb0293e2979f16632

LEARNINGISFUN2-1

2016 AIME Qualifiers Announced — 36 Students Qualified for AIME

While we have not yet received all the results from the MAA/AMC, so far, we have 36 students who are qualified to take the 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.

Tables 1, 2, 3, and 4 show a full list of our top students on the 2016 AMC 10A, AMC 10B, AMC 12A, and AMC 12B, respectively.

In addition, 21 young students in grade 8 or below scored at least 90 points and ranked among the top 10% of all test takers.  These students will receive the Certificate of Merit Award from the MAA/AMC.

We had an unusually large number of students this year qualifying through both the AMC 12 and the AMC 10. Actually, two-thirds of our students qualified for AIME. The other one-third of our students came extremely close to qualifying. All of their hard work has paid off!

The AMC 10 and AMC 12 are part of the United States of America Math Olympiad (USAMO). Students must score highly on these tests in order to take part in the AIME, and then the USAJMO/USAMO exam, which is used to choose members for the International Mathematical Olympiad (IMO).

We are very proud of our students’ great achievements and wish them well in the AIME and USAJMO/USAMO.

Table 1: Notable Achievements of Our Students on the 2016 AMC 10A

Name AMC 10A Score Grade Award Class Year
Joel (Junyao) T. 150.0 9 National Winner –Perfect Scorer 2015-2016 Online Coaching (one-on-one)
William W. 145.5 9 National Distinguished Honor Roll 2015-2016 Online Coaching (one-on-one)
Ashwin A. 141.0 9 National Distinguished Honor Roll 2015-2016 Online Coaching (one-on-one)
Shivani K. 132.0 9 National Distinguished Honor Roll 2015-2016 Online Coaching (one-on-one)
Rinni B. 123.0 9 National Distinguished Honor Roll 2015-2016 Online Coaching (one-on-one)
DongYun S. 120.0 8 National Distinguished Honor Roll, National Achievement Roll 2014-2015 AMC 10 Prep
Ruiran X. 117.0 10 National Honor Roll 2015-2016 AIME Prep
Kevin Z. 117.0 9 National Honor Roll 2014-2015 AMC 10 Prep
Sanjana M. 115.5 8 National Honor Roll, National Achievement Roll 2015-2016 AMC10/12 Prep
Justin L. 114.0 9 National Honor Roll 2015-2016 One-on-one Coaching
Jeremy Z. 114.0 9 National Honor Roll 2014-2015 AMC 10 Prep
Edward S. 111.0 10 National Honor Roll 2015-2016 AIME Prep
Kevin S. 111.0 10 National Honor Roll 2015-2016 AMC10/12 Prep
Joshua F. 108.0 7 National Achievement Roll 2015-2016 AMC10/12 Prep, 2015-2016 AIME Prep
Eva Q. 108.0 8 National Achievement Roll 2015-16 AIME Prep, 2014-2015 AMC 10 Prep, 2013-2014 AMC 10 Prep
Cathy Y. 106.5 8 National Achievement Roll 2014-2015 AMC 10 Prep
Richard Z. 106.5 7 National Achievement Roll 2015-2016 AMC 10/12 Prep
Sean P. 102.0 6 National Achievement Roll 2015-2016 AMC 10/12 Prep
 Pravalika P.  99.0 6 National Achievement Roll 2015-16 AIME Prep
 Cato W.  99.0 8 National Achievement Roll  2014-2015 AMC 10 Prep
Michael P.  97.5 8 National Achievement Roll  2014-2015 AMC 10 Prep

Table 2: Notable Achievements of Our Students on the 2016 AMC 10B

Name AMC 10B Score Grade Award Class Year
Seung Yun L. 138.0 9 National Distinguished Honor Roll 2014-2015 AMC 10 Prep
Ashwin A. 132.0 9 National Distinguished Honor Roll 2015-2016 Online Coaching (one-on-one)
Thanh-Phuong T. 124.5 9 National Distinguished Honor Roll 2015-2016 AMC10/12 Prep
Kevin Z. 121.5 9 National Honor Roll 2014-2015 AMC 10 Prep
Ivy L. 120.0 7 National Honor Roll, National Achievement Roll 2015-2016 AMC10/12 Prep
Sanjana M. 120.0 8 National Honor Roll, National Achievement Roll 2015-2016 AMC10/12 Prep
Shivani K. 115.5 8 National Distinguished Honor Roll 2015-2016 Online Coaching (one-on-one)
Pravalika P. 115.5 6 National Honor Roll, National Achievement Roll 2015-16 AIME Prep
Rinni B. 112.5 9 National Distinguished Honor Roll 2015-2016 Online Coaching (one-on-one)
Joshua F. 112.5 7 National Honor Roll, National Achievement Roll 2015-2016 AMC10/12 Prep, 2015-2016 AIME Prep
Eva Q. 112.5 8 National Honor Roll, National Achievement Roll 2015-16 AIME Prep, 2014-2015 AMC 10 Prep, 2013-2014 AMC 10 Prep
Andrew J. 106.5 8 National Achievement Roll 2014-2015 AMC 10 Prep
Steve P. 106.5 7 National Achievement Roll 2015-2016 AMC 10/12 Prep
Joy S. 102.0 8 National Achievement Roll 2014-2015 AMC 10 Prep
Cathy Y 102.0 8 National Achievement Roll 2014-2015 AMC 10 Prep
Cato W. 102.0 8 National Achievement Roll 2014-2015 AMC 10 Prep
Michael P. 91.5 8 National Achievement Roll 2014-2015 AMC 10 Prep

Table 3: Notable Achievements of Our Students on the 2016 AMC 12A

Name AMC 10A Score Grade Award Class Year
Seung Yun L. 138.0 9 National Distinguished Honor Roll, National Achievement Roll 2014-2015 AMC 10 Prep
Qi J. 111.0 10 National Distinguished Honor Roll, National Achievement Roll 2015-2016 AMC10/12 Prep
Tiger, Z.. 111.0 12 National Distinguished Honor Roll 2013-2014 AMC 10/12 Prep
Zihao L. 106.5 11 National Honor Roll 2015-2016 AIME Prep

Table 4: Notable Achievements of Our Students on the 2016 AMC 12B

Name AMC 10B Score Grade Award Class Year
Elizabeth C. 132.0 11 National Distinguished Honor Roll 2014-2015 AIME Prep
Cameron B. 118.5 11 National Honor Roll 2014-2015 AMC 10/12 Prep
Elijah T. 112.5 12 National Honor Roll 2014-2015 AMC 10/12 Prep
Clement B. 109.5 10 National Honor Roll, National Achievement Roll 2014-2015 AMC 10/12 Prep
Justin B. 108.0 10 National Honor Roll, National Achievement Roll 2014-2015 AMC 10/12 Prep
Chenyu S. 108.0 11 National Honor Roll 2014-2015 AMC 10/12 Prep
Tiger Z. 108.0 12 National Honor Roll 2013-2014 AMC 10/12 Prep
Richard Y. 106.5 10 National Honor Roll, National Achievement Roll 2014-2015 AMC10/12 Prep

Click HERE find out more about Math Competitions!

AAEAAQAAAAAAAAKeAAAAJDkzYTk2ZjE5LTk1YWQtNDBkNy1hZDhjLTVjOTA2YWQ2NmQ2Mw

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 116 full-length real AMC 10/12 problems sets containing 2,960 problems, as described in the article “116 Full-length Real AMC Problems Sets are a Golden Resource to Our AMC 10/12 Prep Program.” Particularly, we have additional 3,000 brand new problems at the level of the AMC 10/12, taken from the licensed AMC Database. In addition, we have also collected all AMC8/10/12 and AIME Official Solutions as shown in the article “American Mathematics Competitions (AMC) Materials.” All these materials have formed a golden resource for our students, who are the ultimate beneficiaries.

AIME_RGBAMC_Airlines_logo_svg

 

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!

AAEAAQAAAAAAAAKeAAAAJDkzYTk2ZjE5LTk1YWQtNDBkNy1hZDhjLTVjOTA2YWQ2NmQ2Mw

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.

AIME_RGB

AMC_Airlines_logo_svg

 

 

2016 AMC 12B Problems and Answers

2015_AMC12_B

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!

AAEAAQAAAAAAAAKeAAAAJDkzYTk2ZjE5LTk1YWQtNDBkNy1hZDhjLTVjOTA2YWQ2NmQ2Mw

 

 

 

 

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.

1090007ad4f9061d818amctheatres_com-couponsAMC_logoamcAMCMaking%20Awesome%20Things%20Happen

 

 

 

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!

MIT-Harvard-300x138
mit-1
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!

math is fundamental 928x223.png

1090007ad4f9061d818

AMC

 

Making%20Awesome%20Things%20Happen

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.

IMOLogo

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.

pg2-anchor-300x203

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

WH7RyJz

Click HERE find out more about Math Competitions!

1090007ad4f9061d818

AIME_RGBAMCMaking%20Awesome%20Things%20Happen

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!

AAEAAQAAAAAAAAKeAAAAJDkzYTk2ZjE5LTk1YWQtNDBkNy1hZDhjLTVjOTA2YWQ2NmQ2Mw

 

 

 
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.

1090007ad4f9061d818AMCMaking%20Awesome%20Things%20Happen