Rational equation — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Rational equation — a algebra concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 10
2002 AMC 10B Problem 12 • 2012 AMC 10A Problem 6 • 2012 AMC 10A Problem 17 • 2017 AMC 10B Problem 4
AMC 12
1950 AMC 12 Problem 29 • 1951 AMC 12 Problem 26 • 1952 AMC 12 Problem 9 • 1952 AMC 12 Problem 11 • 1952 AMC 12 Problem 18 • 1952 AMC 12 Problem 23 • 1953 AMC 12 Problem 8 • 1954 AMC 12 Problem 2 • 1955 AMC 12 Problem 4 • 1956 AMC 12 Problem 15 • 1956 AMC 12 Problem 46 • 1957 AMC 12 Problem 3 • 1957 AMC 12 Problem 22 • 1957 AMC 12 Problem 27 • 1957 AMC 12 Problem 45 • 1958 AMC 12 Problem 2 • 1958 AMC 12 Problem 3 • 1958 AMC 12 Problem 4 • 1958 AMC 12 Problem 30 • 1959 AMC 12 Problem 16 • 1959 AMC 12 Problem 24 • 1960 AMC 12 Problem 28 • 1961 AMC 12 Problem 37 • 1962 AMC 12 Problem 24 • 1963 AMC 12 Problem 3 • 1964 AMC 12 Problem 32 • 1966 AMC 12 Problem 5 • 1966 AMC 12 Problem 27 • 1966 AMC 12 Problem 33 • 1966 AMC 12 Problem 34 • 1966 AMC 12 Problem 37 • 1967 AMC 12 Problem 8 • 1967 AMC 12 Problem 10 • 1967 AMC 12 Problem 14 • 1968 AMC 12 Problem 14 • 1968 AMC 12 Problem 16 • 1968 AMC 12 Problem 23 • 1969 AMC 12 Problem 1 • 1969 AMC 12 Problem 5 • 1970 AMC 12 Problem 3 • 1973 AMC 12 Problem 14 • 1974 AMC 12 Problem 1 • 1976 AMC 12 Problem 1 • 1980 AMC 12 Problem 8 • 1980 AMC 12 Problem 14 • 1981 AMC 12 Problem 6 • 1983 AMC 12 Problem 8 • 1983 AMC 12 Problem 20 • 1989 AMC 12 Problem 10 • 2002 AMC 12A Problem 13 • 2010 AMC 12B Problem 24