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

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Cone — AMC & AIME Problems

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

Filter by difficulty

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 10

2001 AMC 10 Problem 17 • 2001 AMC 10 Problem 21 • 2003 AMC 10B Problem 17 • 2012 AMC 10B Problem 17 • 2014 AMC 10B Problem 23 • 2020 AMC 10B Problem 10 • 2021 AMC 10A Spring Problem 12 • 2021 AMC 10B Spring Problem 10 • 2021 AMC 10A Fall Problem 22

AMC 12

1954 AMC 12 Problem 27 • 2001 AMC 12 Problem 8 • 2003 AMC 12B Problem 13 • 2004 AMC 12B Problem 19 • 2008 AMC 12B Problem 11 • 2012 AMC 12B Problem 15 • 2014 AMC 12B Problem 19 • 2017 AMC 12B Problem 14 • 2020 AMC 12B Problem 9 • 2021 AMC 12A Spring Problem 10 • 2021 AMC 12B Spring Problem 6 • 2023 AMC 12B Problem 21

AIME

1985 AIME Problem 2 • 2000 AIME I Problem 8 • 2004 AIME I Problem 11 • 2004 AIME II Problem 11 • 2008 AIME I Problem 5 • 2010 AIME I Problem 11 • 2020 AIME II Problem 7

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 chord circle circle area circumcircle, circumcenter, and circumradius circumference 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