Square (geometry) — AMC & AIME Practice Problems | LIVE by Po-Shen Loh

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Square (geometry) — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses square (geometry) — 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 8

1985 AMC 8 Problem 12 · 1994 AMC 8 Problem 19 · 1995 AMC 8 Problem 6 · 1995 AMC 8 Problem 18 · 1997 AMC 8 Problem 7 · 2000 AMC 8 Problem 6 · 2005 AMC 8 Problem 4 · 2005 AMC 8 Problem 25 · 2006 AMC 8 Problem 5 · 2007 AMC 8 Problem 22 · 2008 AMC 8 Problem 23 · 2010 AMC 8 Problem 16 · 2011 AMC 8 Problem 25 · 2012 AMC 8 Problem 25 · 2015 AMC 8 Problem 25 · 2018 AMC 8 Problem 22 · 2020 AMC 8 Problem 24 · 2024 AMC 8 Problem 3 · 2026 AMC 8 Problem 13

AMC 12

2003 AMC 12A Problem 14 · 2005 AMC 12A Problem 7 · 2006 AMC 12A Problem 6 · 2007 AMC 12A Problem 23 · 2007 AMC 12B Problem 7 · 2009 AMC 12A Problem 8 · 2011 AMC 12A Problem 18 · 2021 AMC 12A Fall Problem 6 · 2023 AMC 12A Problem 9

AIME

1999 AIME Problem 4 · 2000 AIME I Problem 4 · 2001 AIME II Problem 6 · 2005 AIME I Problem 14 · 2005 AIME II Problem 12 · 2006 AIME II Problem 6 · 2011 AIME II Problem 2 · 2013 AIME I Problem 3 · 2014 AIME I Problem 13 · 2015 AIME I Problem 7 · 2016 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 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 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 Stewart’s Theorem surface area tangent circles tangent line transformation trapezoid triangle area triangle inequality trigonometric identity trigonometry vector Viviani’s Theorem volume