Chord — AMC & AIME Problems | LIVE by Po-Shen Loh

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Chord — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Chord — a geometry 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

2010 AMC 8 Problem 19

AMC 10

2008 AMC 10B Problem 10 • 2010 AMC 10B Problem 19 • 2011 AMC 10A Problem 20 • 2014 AMC 10B Problem 19 • 2016 AMC 10A Problem 24 • 2021 AMC 10B Spring Problem 14

AMC 12

1952 AMC 12 Problem 29 • 1952 AMC 12 Problem 37 • 1957 AMC 12 Problem 18 • 1957 AMC 12 Problem 46 • 1958 AMC 12 Problem 21 • 1958 AMC 12 Problem 42 • 1963 AMC 12 Problem 18 • 1966 AMC 12 Problem 6 • 1966 AMC 12 Problem 8 • 1968 AMC 12 Problem 35 • 1969 AMC 12 Problem 6 • 1969 AMC 12 Problem 15 • 1971 AMC 12 Problem 31 • 1972 AMC 12 Problem 26 • 1973 AMC 12 Problem 1 • 1973 AMC 12 Problem 35 • 1975 AMC 12 Problem 11 • 1977 AMC 12 Problem 30 • 1980 AMC 12 Problem 19 • 1981 AMC 12 Problem 27 • 1982 AMC 12 Problem 14 • 1984 AMC 12 Problem 4 • 2003 AMC 12B Problem 25 • 2008 AMC 12B Problem 9 • 2012 AMC 12A Problem 16 • 2014 AMC 12A Problem 12 • 2014 AMC 12B Problem 24 • 2018 AMC 12B Problem 4 • 2020 AMC 12B Problem 12 • 2021 AMC 12B Spring Problem 8 • 2021 AMC 12A Fall Problem 11 • 2021 AMC 12B Fall Problem 10 • 2022 AMC 12B Problem 24

AIME

1983 AIME Problem 12 • 1983 AIME Problem 14 • 1983 AIME Problem 15 • 1985 AIME Problem 9 • 1990 AIME Problem 12 • 1991 AIME Problem 14 • 1994 AIME Problem 2 • 1994 AIME Problem 7 • 1995 AIME Problem 4 • 1995 AIME Problem 14 • 2001 AIME I Problem 13 • 2004 AIME II Problem 1 • 2005 AIME II Problem 8 • 2009 AIME II Problem 13 • 2011 AIME II Problem 10 • 2013 AIME II Problem 8 • 2017 AIME I Problem 8 • 2021 AIME I Problem 13 • 2022 AIME II Problem 15

More geometry concepts

3D geometry altitude angle bisector angle bisector theorem angle chasing angle sum annulus arc area area decomposition area ratio Brahmagupta’s Formula British Flag Theorem centroid Ceva’s Theorem circle circle area circumcircle, circumcenter, and circumradius circumference cone congruence (geometry)coordinate geometry cube geometry cyclic quadrilateral cylinder diagonal distance formula ellipse equiangular polygon equilateral triangle Euler’s Polyhedron Formula Heron’s Formula homothety hyperbola incircle, incenter, and inradius inscribed angle isosceles triangle kite lattice point law of cosines law of sines mass points median (geometry)midpoint net (3D geometry)paper folding parabola parallel lines parallelogram perimeter perpendicular bisector Pick’s Theorem polyhedron power of a point power scaling of length, area, and volume Ptolemy’s Theorem pyramid Pythagorean Theorem Pythagorean Triple radical axis rectangle rectangular prism reflection (geometry)regular polygon rhombus right triangle sector shoelace formula similarity special right triangle sphere square (geometry)Stewart’s Theorem surface area tangent circles tangent line transformation trapezoid triangle area triangle inequality trigonometric identity trigonometry vector Viviani’s Theorem volume