2020 AIME I Problems: Difference between revisions

Revision as of 14:46, 12 March 2020

2020 AIME I (Answer Key) Printable version \| AoPS Contest Collections • PDF
Instructions 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. No aids other than scratch paper, rulers and compasses are permitted. In particular, graph paper, protractors, calculators and computers are not permitted.
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Problem 1

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Problem 2

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Problem 3

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Problem 4

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Problem 5

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Problem 6

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Problem 7

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Problem 8

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Problem 9

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Problem 10

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Problem 11

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Problem 12

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Problem 13

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Problem 14

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Problem 15

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2020 AIME I (Problems • Answer Key • Resources)
Preceded by 2019 AIME II	Followed by 2020 AIME II
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All AIME Problems and Solutions

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 ==Problem 1==
-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>.
 [[2020 AIME I Problems/Problem 1 | Solution]]

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2020 AIME I Problems: Difference between revisions

Revision as of 14:46, 12 March 2020

Contents

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15