Difference between revisions of "2024 AMC 12A Problems"
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+ | {{AMC12 Problems|year=2024|ab=A}} | ||
+ | ==Problem 1== | ||
+ | |||
+ | What is the value of <math>9901\cdot101-99\cdot10101?</math> | ||
+ | |||
+ | <math>\textbf{(A)}~2\qquad\textbf{(B)}~20\qquad\textbf{(C)}~200\qquad\textbf{(D)}~202\qquad\textbf{(E)}~2020</math> | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 1|Solution]] | ||
+ | |||
+ | ==Problem 2== | ||
+ | |||
+ | A model used to estimate the time it will take to hike to the top of the mountain on a trail is of the form <math>T=aL+bG,</math> where <math>a</math> and <math>b</math> are constants, <math>T</math> is the time in minutes, <math>L</math> is the length of the trail in miles, and <math>G</math> is the altitude gain in feet. The model estimates that it will take <math>69</math> minutes to hike to the top if a trail is <math>1.5</math> miles long and ascends <math>800</math> feet, as well as if a trail is <math>1.2</math> miles long and ascends <math>1100</math> feet. How many minutes does the model estimates it will take to hike to the top if the trail is <math>4.2</math> miles long and ascends <math>4000</math> feet? | ||
+ | |||
+ | <math>\textbf{(A) }240\qquad\textbf{(B) }246\qquad\textbf{(C) }252\qquad\textbf{(D) }258\qquad\textbf{(E) }264</math> | ||
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+ | [[2024 AMC 12A Problems/Problem 2|Solution]] | ||
+ | |||
+ | ==Problem 3== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 3|Solution]] | ||
+ | |||
+ | ==Problem 4== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 4|Solution]] | ||
+ | |||
+ | ==Problem 5== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 5|Solution]] | ||
+ | |||
+ | ==Problem 6== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 6|Solution]] | ||
+ | |||
+ | ==Problem 7== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 7|Solution]] | ||
+ | |||
+ | ==Problem 8== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 8|Solution]] | ||
+ | |||
+ | ==Problem 9== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 9|Solution]] | ||
+ | |||
+ | ==Problem 10== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 10|Solution]] | ||
+ | |||
+ | ==Problem 11== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 11|Solution]] | ||
+ | |||
+ | ==Problem 12== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 12|Solution]] | ||
+ | |||
+ | ==Problem 13== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 13|Solution]] | ||
+ | |||
+ | ==Problem 14== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 14|Solution]] | ||
+ | |||
+ | ==Problem 15== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 15|Solution]] | ||
+ | |||
+ | ==Problem 16== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 16|Solution]] | ||
+ | |||
+ | ==Problem 17== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 17|Solution]] | ||
+ | |||
+ | ==Problem 18== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 18|Solution]] | ||
+ | |||
+ | ==Problem 19== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 19|Solution]] | ||
+ | |||
+ | ==Problem 20== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 20|Solution]] | ||
+ | |||
+ | ==Problem 21== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 21|Solution]] | ||
+ | |||
+ | ==Problem 22== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 22|Solution]] | ||
+ | |||
+ | ==Problem 23== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 23|Solution]] | ||
+ | |||
+ | ==Problem 24== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 24|Solution]] | ||
+ | |||
+ | ==Problem 25== | ||
+ | |||
+ | [[2024 AMC 12A Problems/Problem 25|Solution]] | ||
+ | |||
+ | ==See also== | ||
+ | {{AMC12 box|year=2024|ab=A|before=[[2023 AMC 12B Problems]]|after=[[2024 AMC 12B Problems]]}} | ||
+ | * [[AMC 12]] | ||
+ | * [[AMC 12 Problems and Solutions]] | ||
+ | * [[Mathematics competitions]] | ||
+ | * [[Mathematics competition resources]] |
Revision as of 17:06, 8 November 2024
2024 AMC 12A (Answer Key) Printable versions: • AoPS Resources • PDF | ||
Instructions
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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 |
Contents
[hide]- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
- 26 See also
Problem 1
What is the value of
Problem 2
A model used to estimate the time it will take to hike to the top of the mountain on a trail is of the form where and are constants, is the time in minutes, is the length of the trail in miles, and is the altitude gain in feet. The model estimates that it will take minutes to hike to the top if a trail is miles long and ascends feet, as well as if a trail is miles long and ascends feet. How many minutes does the model estimates it will take to hike to the top if the trail is miles long and ascends feet?
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
See also
2024 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by 2023 AMC 12B Problems |
Followed by 2024 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 |