2021 CMC 12A Problems

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2021 CMC 12A (Answer Key)
Printable version: Wiki | AoPS Resources

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.
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Problem 1

Hold your horses! The test hasn't finished yet.

Solution

Problem 2

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Solution

Problem 3

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Solution

Problem 4

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Solution

Problem 5

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Solution

Problem 6

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Solution

Problem 7

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Solution

Problem 8

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Solution

Problem 9

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Solution

Problem 10

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Solution

Problem 11

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Problem 12

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Problem 13

Hold your horses! The test hasn't finished yet.

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Problem 14

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Problem 15

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Problem 16

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Problem 17

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Problem 18

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Problem 19

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Problem 20

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Problem 21

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Problem 22

Hold your horses! The test hasn't finished yet.

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Problem 23

Hold your horses! The test hasn't finished yet.

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Problem 24

Hold your horses! The test hasn't finished yet.

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Problem 25

Hold your horses! The test hasn't finished yet.

Solution