Difference between revisions of "2021 AMC 12A Problems"

Line 2: Line 2:
 
==Problem 1==
 
==Problem 1==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 1|Solution]]
 
[[2021 AMC 12A Problems/Problem 1|Solution]]
 +
 
==Problem 2==
 
==Problem 2==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 2|Solution]]
 
[[2021 AMC 12A Problems/Problem 2|Solution]]
 +
 
==Problem 3==
 
==Problem 3==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 3|Solution]]
 
[[2021 AMC 12A Problems/Problem 3|Solution]]
 +
 
==Problem 4==
 
==Problem 4==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 4|Solution]]
 
[[2021 AMC 12A Problems/Problem 4|Solution]]
 +
 
==Problem 5==
 
==Problem 5==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 5|Solution]]
 
[[2021 AMC 12A Problems/Problem 5|Solution]]
 +
 
==Problem 6==
 
==Problem 6==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 6|Solution]]
 
[[2021 AMC 12A Problems/Problem 6|Solution]]
 +
 
==Problem 7==
 
==Problem 7==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 7|Solution]]
 
[[2021 AMC 12A Problems/Problem 7|Solution]]
 +
 
==Problem 8==
 
==Problem 8==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 8|Solution]]
 
[[2021 AMC 12A Problems/Problem 8|Solution]]
 +
 
==Problem 9==
 
==Problem 9==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 9|Solution]]
 
[[2021 AMC 12A Problems/Problem 9|Solution]]
 +
 
==Problem 10==
 
==Problem 10==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 10|Solution]]
 
[[2021 AMC 12A Problems/Problem 10|Solution]]
 +
 
==Problem 11==
 
==Problem 11==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 11|Solution]]
 
[[2021 AMC 12A Problems/Problem 11|Solution]]
 +
 
==Problem 12==
 
==Problem 12==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 12|Solution]]
 
[[2021 AMC 12A Problems/Problem 12|Solution]]
 +
 
==Problem 13==
 
==Problem 13==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 13|Solution]]
 
[[2021 AMC 12A Problems/Problem 13|Solution]]
 +
 
==Problem 14==
 
==Problem 14==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 14|Solution]]
 
[[2021 AMC 12A Problems/Problem 14|Solution]]
 +
 
==Problem 15==
 
==Problem 15==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 15|Solution]]
 
[[2021 AMC 12A Problems/Problem 15|Solution]]
 +
 
==Problem 16==
 
==Problem 16==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 16|Solution]]
 
[[2021 AMC 12A Problems/Problem 16|Solution]]
 +
 
==Problem 17==
 
==Problem 17==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 17|Solution]]
 
[[2021 AMC 12A Problems/Problem 17|Solution]]
 +
 
==Problem 18==
 
==Problem 18==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 18|Solution]]
 
[[2021 AMC 12A Problems/Problem 18|Solution]]
 +
 
==Problem 19==
 
==Problem 19==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 19|Solution]]
 
[[2021 AMC 12A Problems/Problem 19|Solution]]
 +
 
==Problem 20==
 
==Problem 20==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 20|Solution]]
 
[[2021 AMC 12A Problems/Problem 20|Solution]]
 +
 
==Problem 21==
 
==Problem 21==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 21|Solution]]
 
[[2021 AMC 12A Problems/Problem 21|Solution]]
 +
 
==Problem 22==
 
==Problem 22==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 22|Solution]]
 
[[2021 AMC 12A Problems/Problem 22|Solution]]
 +
 
==Problem 23==
 
==Problem 23==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 23|Solution]]
 
[[2021 AMC 12A Problems/Problem 23|Solution]]
 +
 
==Problem 24==
 
==Problem 24==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 24|Solution]]
 
[[2021 AMC 12A Problems/Problem 24|Solution]]
 +
 
==Problem 25==
 
==Problem 25==
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 
These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.
 +
 
[[2021 AMC 12A Problems/Problem 25|Solution]]
 
[[2021 AMC 12A Problems/Problem 25|Solution]]
  

Revision as of 13:06, 29 September 2020

2021 AMC 12A (Answer Key)
Printable version: Wiki | AoPS ResourcesPDF

Instructions

  1. This is a 25-question, multiple choice test. Each question is followed by answers marked A, B, C, D and E. Only one of these is correct.
  2. You will receive 6 points for each correct answer, 2.5 points for each problem left unanswered if the year is before 2006, 1.5 points for each problem left unanswered if the year is after 2006, and 0 points for each incorrect answer.
  3. No aids are permitted other than scratch paper, graph paper, ruler, compass, protractor and erasers (and calculators that are accepted for use on the test if before 2006. No problems on the test will require the use of a calculator).
  4. Figures are not necessarily drawn to scale.
  5. You will have 75 minutes working time to complete the test.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Problem 1

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 2

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 3

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 4

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 5

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 6

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 7

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 8

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 9

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 10

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 11

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 12

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 13

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 14

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 15

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 16

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 17

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 18

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 19

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 20

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 21

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 22

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 23

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 24

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

Problem 25

These problems will not be posted until the 2021 AMC12A is released on Thursday, February 4, 2021.

Solution

See also

2021 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
2020 AMC 12B Problems
Followed by
2021 AMC 12B Problems
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 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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