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

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Pyramid — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses pyramid — 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 of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 10

2006 AMC 10A Problem 24 · 2007 AMC 10B Problem 23 · 2011 AMC 10B Problem 22 · 2015 AMC 10B Problem 17 · 2018 AMC 10B Problem 10

AMC 12

2005 AMC 12A Problem 17 · 2008 AMC 12B Problem 18 · 2011 AMC 12A Problem 15 · 2011 AMC 12B Problem 18 · 2015 AMC 12B Problem 16 · 2021 AMC 12B Spring Problem 14 · 2024 AMC 12B Problem 23

AIME

2007 AIME I Problem 13 · 2012 AIME I Problem 8 · 2012 AIME II Problem 5 · 2015 AIME II Problem 9 · 2017 AIME I Problem 4 · 2022 AIME II Problem 3

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 centroid chord 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 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