Computational geometry problems, many taken from the tail end of the AIME. At the border of computational contests and olympiads.

Unit Overview

AIME Geo is focused on Computational Geometry containing some of the hardest geometry problems that have appeared on AIME along with a mix of other computational contests such as ARML, HMMT, PUMaC, NIMO, and some mock AIMEs. There are a sprinkle of olympiad problems featuring many of the same strategies needed to solve the computational problems.

The B version of the unit is an average difficulty B unit (harder than Sympoly/EV, easier than Equality/Elem Geo) while the D unit is on the easier side of D units.

Notable Problems

  • 2014 HMNT Team 10: Pretty involved problem using angle chasing and a lot of similar triangles.
  • 2017 CMIMC G9 and AIME II 2020/15: Problems with a similar idea of finding nice properties about the diagram at hand and involving a lot of angle chasing. Both are possible to do with trigonometry as well.
  • AIME 2016/15: Just pure synthetic geometry.

Advice

If you are preparing for AIME and want to hone your late AIME geo skills, this is an amazing unit to do.