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Mixture — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Mixture — 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.

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AMC 8

2002 AMC 8 Problem 24 • 2004 AMC 8 Problem 16 • 2007 AMC 8 Problem 17

AMC 10

2000 AMC 10 Problem 22 • 2002 AMC 10A Problem 17 • 2006 AMC 10B Problem 13 • 2025 AMC 10A Problem 2

AMC 12

1953 AMC 12 Problem 9 • 1958 AMC 12 Problem 28 • 1959 AMC 12 Problem 24 • 1967 AMC 12 Problem 8 • 1973 AMC 12 Problem 33 • 1979 AMC 12 Problem 15 • 2002 AMC 12A Problem 10 • 2006 AMC 12B Problem 11 • 2025 AMC 12A Problem 2

AIME

2011 AIME I Problem 1

More algebra concepts

absolute valueagesalgebraic manipulationAM-GM Inequalityarithmetic sequencearithmetico-geometric seriesbinomial theoremcalculusCauchy-Schwarz Inequalitycompleting the squarecomplex numbercustom operationDe Moivre’s Theoremdeterminantdifference of squaresfactoringFibonaccifloor and ceiling functionsfunctionfunctional equationgeometric sequenceinequalitylinear equationlogarithmmatrixNewton’s Sumspartial fractionspolynomialquadraticradicalrational equationrationalizing denominatorrecursionroots of unitySimon’s Favorite Factoring Trickslopesubstitutionsum and difference of cubessum of first n cubessum of first n odd numberssum of first n squaressummationsymmetry (algebra)system of equationstelescopingVieta’s Formulaszero product property