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Difference between revisions of "2021 AIME I Problems"
Line 2: Line 2:
 
==Problem 1==
 
==Problem 1==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 1|Solution]]
 
[[2021 AIME I Problems/Problem 1|Solution]]
 +
 
==Problem 2==
 
==Problem 2==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 2|Solution]]
 
[[2021 AIME I Problems/Problem 2|Solution]]
 +
 
==Problem 3==
 
==Problem 3==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 3|Solution]]
 
[[2021 AIME I Problems/Problem 3|Solution]]
 +
 
==Problem 4==
 
==Problem 4==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 4|Solution]]
 
[[2021 AIME I Problems/Problem 4|Solution]]
 +
 
==Problem 5==
 
==Problem 5==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 5|Solution]]
 
[[2021 AIME I Problems/Problem 5|Solution]]
 +
 
==Problem 6==
 
==Problem 6==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 6|Solution]]
 
[[2021 AIME I Problems/Problem 6|Solution]]
 +
 
==Problem 7==
 
==Problem 7==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 7|Solution]]
 
[[2021 AIME I Problems/Problem 7|Solution]]
 +
 
==Problem 8==
 
==Problem 8==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 8|Solution]]
 
[[2021 AIME I Problems/Problem 8|Solution]]
 +
 
==Problem 9==
 
==Problem 9==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 9|Solution]]
 
[[2021 AIME I Problems/Problem 9|Solution]]
 +
 
==Problem 10==
 
==Problem 10==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 10|Solution]]
 
[[2021 AIME I Problems/Problem 10|Solution]]
 +
 
==Problem 11==
 
==Problem 11==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 11|Solution]]
 
[[2021 AIME I Problems/Problem 11|Solution]]
 +
 
==Problem 12==
 
==Problem 12==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 12|Solution]]
 
[[2021 AIME I Problems/Problem 12|Solution]]
 +
 
==Problem 13==
 
==Problem 13==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 13|Solution]]
 
[[2021 AIME I Problems/Problem 13|Solution]]
 +
 
==Problem 14==
 
==Problem 14==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 14|Solution]]
 
[[2021 AIME I Problems/Problem 14|Solution]]
 +
 
==Problem 15==
 
==Problem 15==
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
 +
 
[[2021 AIME I Problems/Problem 15|Solution]]
 
[[2021 AIME I Problems/Problem 15|Solution]]
 +
 
==See also==
 
==See also==
 
{{AIME box|year=2021|n=I|before=[[2020 AIME II Problems|2020 AIME II]]|after=[[2021 AIME II Problems|2021 AIME II]]}}
 
{{AIME box|year=2021|n=I|before=[[2020 AIME II Problems|2020 AIME II]]|after=[[2021 AIME II Problems|2021 AIME II]]}}

Revision as of 13:28, 27 September 2020

2021 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

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 2

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 3

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 4

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 5

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 6

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 7

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 8

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 9

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 10

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 11

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 12

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 13

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 14

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

Problem 15

These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.

Solution

See also

2021 AIME I (Problems • Answer Key • Resources)
Preceded by
2020 AIME II 		Followed by
2021 AIME II
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
All AIME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

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