2020 AIME I Problems
2020 AIME I (Answer Key) | AoPS Contest Collections • PDF | ||
Instructions
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Contents
[hide]Problem 1
In with point lies strictly between and on side and point lies strictly between and on side such that The degree measure of is where and are relatively prime positive integers. Find
Problem 2
There is a unique positive real number such that the three numbers and in that order, form a geometric progression with positive common ratio. The number can be written as where and are relatively prime positive integers. Find
Problem 3
A positive integer has base-eleven representation and base-eight representation where and represent (not necessarily distinct) digits. Find the least such expressed in base ten.
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
2020 AIME I (Problems • Answer Key • Resources) | ||
Preceded by 2019 AIME II |
Followed by 2020 AIME II | |
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The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.