Difference between revisions of "2022 AMC 10B Problems"
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<math>\textbf{(E) }</math> <math>35</math> seconds after <math>\text{4:58}</math> | <math>\textbf{(E) }</math> <math>35</math> seconds after <math>\text{4:58}</math> | ||
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==Problem 5 == | ==Problem 5 == |
Revision as of 14:44, 17 November 2022
2022 AMC 10B (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
- 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
XXX
Problem 2
XXX
Problem 3
XXX
Problem 4
A donkey suffers an attack of hiccups and the first hiccup happens at one afternoon. Suppose that
the donkey hiccups regularly every
seconds. At what time does the donkey’s
hiccup occur?
seconds after
seconds after
seconds after
seconds after
seconds after
Problem 5
XXX
Problem 6
How many of the first ten numbers of the sequence are prime numbers?
Problem 7
XXX
Problem 8
XXX
Problem 9
XXX
Problem 10
XXX
Problem 11
XXX
Problem 12
A pair of fair -sided dice is rolled
times. What is the least value of
such that the probability that the sum of the numbers face up on a roll equals
at least once is greater than
?
Problem 13
XXX
Problem 14
XXX
Problem 15
XXX
Problem 16
XXX
Problem 17
XXX
Problem 18
XXX
Problem 19
XXX
Problem 20
XXX
Problem 21
XXX
Problem 22
Let be the set of circles in the coordinate plane that are tangent to each of the three circles with equations
,
, and
. What is the sum of the areas of all circles in
?
Problem 23
XXX
Problem 24
XXX
Problem 25
XXX
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.