Difference between revisions of "2021 AIME II Problems"

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{{AIME Problems|year=2021|n=II}}
 
{{AIME Problems|year=2021|n=II}}
 
==Problem 1==
 
==Problem 1==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 1|Solution]]
 
[[2021 AIME II Problems/Problem 1|Solution]]
  
 
==Problem 2==
 
==Problem 2==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 2|Solution]]
 
[[2021 AIME II Problems/Problem 2|Solution]]
  
 
==Problem 3==
 
==Problem 3==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 3|Solution]]
 
[[2021 AIME II Problems/Problem 3|Solution]]
  
 
==Problem 4==
 
==Problem 4==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 4|Solution]]
 
[[2021 AIME II Problems/Problem 4|Solution]]
  
 
==Problem 5==
 
==Problem 5==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 5|Solution]]
 
[[2021 AIME II Problems/Problem 5|Solution]]
  
 
==Problem 6==
 
==Problem 6==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 6|Solution]]
 
[[2021 AIME II Problems/Problem 6|Solution]]
  
 
==Problem 7==
 
==Problem 7==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 7|Solution]]
 
[[2021 AIME II Problems/Problem 7|Solution]]
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==Problem 9==
 
==Problem 9==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 9|Solution]]
 
[[2021 AIME II Problems/Problem 9|Solution]]
  
 
==Problem 10==
 
==Problem 10==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 10|Solution]]
 
[[2021 AIME II Problems/Problem 10|Solution]]
  
 
==Problem 11==
 
==Problem 11==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 11|Solution]]
 
[[2021 AIME II Problems/Problem 11|Solution]]
  
 
==Problem 12==
 
==Problem 12==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 12|Solution]]
 
[[2021 AIME II Problems/Problem 12|Solution]]
  
 
==Problem 13==
 
==Problem 13==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 13|Solution]]
 
[[2021 AIME II Problems/Problem 13|Solution]]
  
 
==Problem 14==
 
==Problem 14==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 14|Solution]]
 
[[2021 AIME II Problems/Problem 14|Solution]]
  
 
==Problem 15==
 
==Problem 15==
These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.
+
These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.
  
 
[[2021 AIME II Problems/Problem 15|Solution]]
 
[[2021 AIME II Problems/Problem 15|Solution]]

Revision as of 23:58, 7 March 2021

These are not the problems you are looking for.

2021 AIME II (Answer Key)
Printable version | AoPS Contest CollectionsPDF

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 II is released on Thursday, March 25, 2021.

Solution

Problem 2

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 3

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 4

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 5

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 6

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 7

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 8

These problems will not be available until the 2021 AIME II is released on Thursday, March 18, 2021.

Solution

Problem 9

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 10

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 11

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 12

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 13

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 14

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

Problem 15

These problems will not be available until the 2021 AIME II is released on Thursday, March 25, 2021.

Solution

See also

2021 AIME II (ProblemsAnswer KeyResources)
Preceded by
2020 AIME II
Followed by
2022 AIME I
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