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:
- Notable Achievements of Our Students
- 2017 AIME Qualifiers Announced — 61 Students Qualified for the AIME
- 20 Sets of AMC 10 Mock Test with Detailed Solutions
- 20 Sets of AMC 12 Mock Test with Detailed Solutions
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 10A, 10B | 50 | AMC 12A, 12B | 50 |
2014 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2013 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2012 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2011 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2010 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2009 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2008 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2007 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2006 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2005 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2004 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2003 | AMC 10A, 10B | 50 | AMC 12A, 12B | 50 |
2002 | AMC 10A, 10B, 10P | 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 |
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