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Difference between revisions of "2020 AIME I Problems"

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==Problem 1==
 
==Problem 1==
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In <math>\triangle{ABC}</math> with <math>AB = AC</math>, point <math>D</math> lies strictly between <math>A</math> and <math>C</math> on side <math>\overline{AC}</math>, and point <math>E</math> lies strictly between <math>A</math> and <math>B</math> on side <math>\overline{AB}</math> such that <math>AE=ED=DB=BC</math>. The degree measure of <math>\angle{ABC}</math> is <math>\frac{m}{n}</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m</math> + <math>n</math>.
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[[2020 AIME I Problems/Problem 1 | Solution]]
 
[[2020 AIME I Problems/Problem 1 | Solution]]

Revision as of 14:46, 12 March 2020

2020 AIME I (Answer Key)
Printable version | AoPS Contest Collections • PDF

Instructions

  1. This is a 15-question, 3-hour examination. All answers are integers ranging from $000$ to $999$, inclusive. Your score will be the number of correct answers; i.e., there is neither partial credit nor a penalty for wrong answers.
  2. No aids other than scratch paper, graph paper, ruler, compass, and protractor are permitted. In particular, calculators and computers are not permitted.
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15

Problem 1

Solution

Problem 2

Solution

Problem 3

Solution

Problem 4

Solution

Problem 5

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Solution

Problem 15

Solution

2020 AIME I (Problems • Answer Key • Resources)
Preceded by
2019 AIME II 		Followed by
2020 AIME II
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
All AIME Problems and Solutions

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