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Difference between revisions of "2022 AMC 10B Problems"

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The exam will take place on Wednesday, November 16, 2022. Please do not discuss the test until 24 hours after the test window when the forums are unlocked.
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{{AMC10 Problems|year=2022|ab=B}}
 +
 
 +
==Problem 1 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 1|Solution]]
 +
==Problem 2 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 2|Solution]]
 +
==Problem 3 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 1|Solution]]
 +
 
 +
==Problem 4 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 1|Solution]]
 +
==Problem 5 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 5|Solution]]
 +
 
 +
==Problem 6 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 6|Solution]]
 +
 
 +
==Problem 7 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 7|Solution]]
 +
 
 +
==Problem 8 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 8|Solution]]
 +
 
 +
==Problem 9 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 9|Solution]]
 +
 
 +
==Problem 10 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 10|Solution]]
 +
 
 +
==Problem 11 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 11|Solution]]
 +
 
 +
==Problem 12 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 12|Solution]]
 +
 
 +
==Problem 13 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 13|Solution]]
 +
 
 +
==Problem 14 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 14|Solution]]
 +
 
 +
==Problem 15 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 15|Solution]]
 +
 
 +
==Problem 16 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 16|Solution]]
 +
 
 +
==Problem 17 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 17|Solution]]
 +
 
 +
==Problem 18 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 18|Solution]]
 +
 
 +
==Problem 19 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 19|Solution]]
 +
 
 +
==Problem 20 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 20|Solution]]
 +
 
 +
==Problem 21 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 21|Solution]]
 +
 
 +
==Problem 22 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 22|Solution]]
 +
 
 +
==Problem 23 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 23|Solution]]
 +
 
 +
==Problem 24 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 24|Solution]]
 +
 
 +
==Problem 25 ==
 +
XXX
 +
 
 +
<math>\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X</math>
 +
 
 +
[[2022 AMC 10B Problems/Problem 25|Solution]]
 +
 
 +
==See also==
 +
{{AMC10 box|year=2022|ab=B|before=[[2021 Fall AMC 10B Problems]]|after=[[2023 AMC 10B Problems]]}}
 +
{{MAA Notice}}

Revision as of 14:04, 17 November 2022

2022 AMC 10B (Answer Key)
Printable versions: Wiki • AoPS Resources • PDF

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 SAT 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

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 2

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 3

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 4

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 5

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 6

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 7

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 8

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 9

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 10

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 11

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 12

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 13

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 14

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 15

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 16

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 17

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 18

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 19

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 20

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 21

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 22

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 23

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 24

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

Problem 25

XXX

$\textbf{(A)}\ X \qquad\textbf{(B)}\ X \qquad\textbf{(C)}\ X \qquad\textbf{(D)}\ X \qquad\textbf{(E)}\ X$

Solution

See also

2022 AMC 10B (Problems • Answer Key • Resources)
Preceded by
2021 Fall AMC 10B Problems 		Followed by
2023 AMC 10B 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 10 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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