Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Difference between revisions of "Mathboy282"

(Created page with "==Contributions== Most of these contributions are supplements to existing solutions. There are some that are my original solutions. 2017 AIME II Problems/Problem 11 Diag...")
 
m (→‎Contributions)
 
(7 intermediate revisions by the same user not shown)
Line 1: Line 1:
 
==Contributions==
 
==Contributions==
  
−
Most of these contributions are supplements to existing solutions. There are some that are my original solutions.
+
[[2019 AIME II Problems/Problem 15]] Solution 5
 +
 
 +
[[2023 USAJMO Problems/Problem 6]] Solution 1
 +
 
 +
Most of these contributions are supplements to existing solutions. There are some (around 25) that are my original solutions.
 +
 
 +
Newer Edits (2023-present):
 +
 
 +
*Supplement a solution
 +
 
 +
*Introduce own solution
 +
 
 +
The older edits (2019-2022):
 +
 
 +
*Improve formatting
 +
 
 +
*Supplement a solution
 +
 
 +
*Introduce own solution
 +
[[2018 AIME I Problems/Problem_13]] Solution 1 Note
  
 
[[2017 AIME II Problems/Problem 11]] Diagram
 
[[2017 AIME II Problems/Problem 11]] Diagram
  
−
[[File:2017AIMEIIP11Diagram.JPG]]
+
[[File:2017AIMEIIP11Diagram.JPG|200px]]
  
 
[[2017 AIME I Problems/Problem 15]] Solution 11
 
[[2017 AIME I Problems/Problem 15]] Solution 11
Line 27: Line 46:
 
[[2018 AIME II Problems/Problem 13]] Solution 6 (Markov Chain)
 
[[2018 AIME II Problems/Problem 13]] Solution 6 (Markov Chain)
  
−
[[File:2018AIMEIIP13MarkovChain.jpg]]
+
[[File:2018AIMEIIP13MarkovChain.jpg|200px]]
  
 
[[2018 AIME II Problems/Problem 9]] Supplement
 
[[2018 AIME II Problems/Problem 9]] Supplement
Line 67: Line 86:
 
[[Cross-Segment Identity]]  
 
[[Cross-Segment Identity]]  
  
−
[[File:CrossSegment-Identity.png]] Supplement
+
[[File:CrossSegment-Identity.png|200px]] Supplement
  
 
[[2022 AIME II Problems/Problem 8]] Note
 
[[2022 AIME II Problems/Problem 8]] Note
Line 127: Line 146:
 
[[2022 AMC 10A Problems/Problem 25]]
 
[[2022 AMC 10A Problems/Problem 25]]
  
−
[[2022 AMC 10A Problems/File:P252022A.png]]
+
[[2022 AMC 10A Problems/File:P252022A.png|200px]]
  
 
[[2006 AMC 10B Problems/Problem 21]] Solution 3 (intuitive)
 
[[2006 AMC 10B Problems/Problem 21]] Solution 3 (intuitive)
Line 223: Line 242:
 
[[Pascal's Triangle]] Binomial Coefficients
 
[[Pascal's Triangle]] Binomial Coefficients
  
−
[[File:Pascaltriangle.jpg]]
+
[[File:Pascaltriangle.jpg|200px]]
  
 
[[Combinatorial Identity]] Proof
 
[[Combinatorial Identity]] Proof
Line 229: Line 248:
 
[[2006 AMC 10B Problems/Problem 24]] Solution
 
[[2006 AMC 10B Problems/Problem 24]] Solution
  
−
[[File:2006AMC10B24.png]] Picture for the Solution 1 of 2006 AMC 10B No. 24. (current)
+
[[File:2006AMC10B24.png|200px]] Picture for the Solution 1 of 2006 AMC 10B No. 24. (current)
  
 
[[2006 AMC 10B Problems/Problem 19]] Non-Trig Approach
 
[[2006 AMC 10B Problems/Problem 19]] Non-Trig Approach
Line 260: Line 279:
  
 
[[2005 AMC 10B Problems/Problem 25]] Solution 1 Alternate Solution
 
[[2005 AMC 10B Problems/Problem 25]] Solution 1 Alternate Solution
−
 
−
[[2005 AMC 10B Problems/Problem 23]] Solution 2
 
  
 
[[2005 AMC 10B Problems/Problem 23]] Solution 2
 
[[2005 AMC 10B Problems/Problem 23]] Solution 2
Line 288: Line 305:
  
 
[[2008 AMC 10A Problems/Problem 15]] Solution 4
 
[[2008 AMC 10A Problems/Problem 15]] Solution 4
 +
 +
[[2009 AMC 10A Problems/Problem 22]] Solution 4
 +
 +
[[2009 AMC 10A Problems/Problem 22]] Solution 2
 +
 +
[[2009 AMC 10A Problems/Problem 22]] Solution 3
 +
 +
[[2010 AMC 12A Problems/Problem 17]] Proof Triangle ACE is Equilateral.
 +
 +
[[2010 AMC 12A Problems/Problem 17]] Solution 3
 +
 +
[[2010 AMC 12A Problems/Problem 16]] Solution
 +
 +
[[2010 AMC 12A Problems/Problem 16]] Solution
 +
 +
[[2011 AMC 10A Problems/Problem 23]] Solution 2
 +
 +
[[2012 AMC 10A Problems/Problem 22]] Solution 1
 +
 +
[[2012 AMC 10A Problems/Problem 17]] Solution 4
 +
 +
[[2014 AMC 10A Problems/Problem 22]] Note
 +
 +
[[2014 AMC 10A Problems/Problem 22]] Solution 5(15-75-90 Triangle)
 +
 +
[[2014 AMC 10A Problems/Problem 22]] Solution 4 (No Trigonometry)
 +
 +
[[2014 AMC 10A Problems/Problem 20]] Solution 2
 +
 +
[[2015 AMC 10A Problems/Problem 24]] Solution 2
 +
 +
[[2015 AMC 10A Problems/Problem 19]] Solution 1 (No Trigonometry)
 +
 +
[[2015 AMC 10A Problems/Problem 19]] Picture for 2015 AMC 10A Problem 19 Solution.
 +
 +
[[2015 AMC 10A Problems/Problem 18]] Solution
 +
 +
[[2004 AMC 10A Problems/Problem 20]] Problem
 +
 +
[[2010 AMC 12A Problems/Problem 14]] Solution 2 (Trick)
 +
 +
[[2010 AMC 12A Problems/Problem 14]] Solution
 +
 +
[[2017 AMC 10A Problems/Problem 17]] Solution 2
 +
 +
[[2018 AMC 10A Problems/Problem 23]] Solution 7(Slightly different from the first solution:)
 +
 +
[[2018 AMC 10A Problems/Problem 14]] Solution 2
 +
 +
[[2018 AMC 10A Problems/Problem 11]] Solution 6(Solution 5 but more in-depth)
 +
 +
[[2018 AMC 10A Problems/Problem 11]] Solution 5 (Stars and Bars)
 +
 +
[[2021 AMC 10A Problems/Problem 2]] Problem
 +
 +
[[2020 AMC 10A Problems/Problem 25]] Solution 1
 +
 +
[[2002 AMC 12A Problems/Problem 8]] Solution
 +
 +
[[2019 AMC 8 Problems/Problem 24]] Solution 19
 +
 +
[[2019 AMC 8 Problems/Problem 24]] Solution 7
 +
 +
[[2014 AMC 8 Problems/Problem 22]] Solution 2(Alternative Approach)
 +
 +
[[2015 AMC 8 Problems/Problem 25]] Solution 2(Contest Solution)
 +
 +
[[2007 AMC 8 Problems]] Problem 25
 +
 +
[[2019 AMC 8 Problems]] Problem 12
 +
 +
[[2019 AMC 8 Problems]] Problem 5
 +
 +
[[2013 AMC 8 Problems/Problem 24]] Solution 3
 +
 +
[[2004 AMC 8 Problems/Problem 23]] Solution 1
 +
 +
[[2004 AMC 8 Problems/Problem 15]] Problem
 +
 +
[[2007 AMC 8 Problems/Problem 25]] Solution
 +
 +
[[2014 AMC 8 Problems/Problem 25]] Solution 1
 +
 +
[[1996 AHSME Problems/Problem 24]] Solution 3
 +
 +
[[2004 AMC 12A Problems]] Problem 5
 +
 +
[[2018 AMC 8 Problems/Problem 20]] Solution 2
 +
 +
[[2018 AMC 8 Problems/Problem 20]] Solution 3
 +
 +
[[2019 AMC 8 Problems/Problem 2]] Solution 3
 +
 +
[[2019 AMC 8 Problems/Problem 25]] Solution 2
 +
 +
[[2019 AMC 8 Problems/Problem 15]] Solution 1
 +
 +
[[2004 AMC 10B Problems/Problem 20]] Problem
 +
 +
[[2002 AMC 8 Problems]] Problem 9
 +
 +
[[2003 AMC 8 Problems/Problem 23]] Solution
 +
 +
[[2003 AMC 8 Problems/Problem 22]] Solution

Latest revision as of 11:37, 11 June 2024

Contributions

2019 AIME II Problems/Problem 15 Solution 5

2023 USAJMO Problems/Problem 6 Solution 1

Most of these contributions are supplements to existing solutions. There are some (around 25) that are my original solutions.

Newer Edits (2023-present):

  • Supplement a solution
  • Introduce own solution

The older edits (2019-2022):

  • Improve formatting
  • Supplement a solution
  • Introduce own solution

2018 AIME I Problems/Problem_13 Solution 1 Note

2017 AIME II Problems/Problem 11 Diagram

200px

2017 AIME I Problems/Problem 15 Solution 11

2017 AIME I Problems/Problem 15 Solution 4 (Trigonometry)

2017 AIME I Problems/Problem 11 Alternative Proof

2017 AIME I Problems/Problem 11 Solution 1

2017 AIME I Problems/Problem 10 Tex

2017 AIME II Problems/Problem 9 Solution 1

2017 AIME II Problems/Problem 7 Solution 2

2017 AIME I Problems/Problem 6 Solution

2017 AIME I Problems/Problem 4 Solution

2018 AIME II Problems/Problem 13 Solution 6 (Markov Chain)

2018AIMEIIP13MarkovChain.jpg

2018 AIME II Problems/Problem 9 Supplement

2018 AIME I Problems/Problem 11 Solutions

2019 AIME II Problems/Problem 13 Solution 1

2019 AIME II Problems/Problem 13 Make it easier to read

2019 AIME II Problems/Problem 11 Supplement

2019 AIME II Problems/Problem 10 Solution 1

2019 AIME II Problems/Problem 4 Solution 1

2019 AIME I Problems/Problem 8 Solution 1

2019 AIME I Problems/Problem 8 Clarify

2019 AIME I Problems/Problem 8 Solution 1

2019 AIME I Problems/Problem 7 Solution 1

2020 AIME II Problems/Problem 14 Solution 1

2020 AIME II Problems/Problem 14 Solution 1

2020 AIME II Problems/Problem 13 Solution 5 (Official MAA 1)

2020 AIME II Problems/Problem 13 Solution 8 (The same circle)

2020 AIME I Problems/Problem 12 Solution 1

2020 AIME I Problems/Problem 8 Clarification

Cross-Segment Identity Proof Supplement

Cross-Segment Identity

CrossSegment-Identity.png Supplement

2022 AIME II Problems/Problem 8 Note

2022 AIME II Problems/Problem 8 Note

2022 AIME II Problems/Problem 8 Solution 1.5

2022 AIME II Problems/Problem 8 Clarify where the solution ends

2022 AIME II Problems/Problem 7 Alternative Finish

2022 AIME II Problems/Problem 7 Alt way to finish

2022 AIME I Problems/Problem 15 Added context

2022 AIME I Problems/Problem 15 Solution 3

2022 AIME I Problems/Problem 13 Clarification

2022 AIME I Problems/Problem 13 Solution

2023 AIME II Problems/Problem 15 Solution

2023 AIME II Problems/Problem 10 Simpler Way to Finish

2023 AIME II Problems/Problem 10 Solution 2 (Archaeological)

The Root of Root Conjecture The Conjecture

2021 AMC 10A Problems/Problem 21 Solution

2021 Fall AMC 10B Problems/Problem 19 Very faulty reasoning

2021 Fall AMC 12A Problems/Problem 17 Solution 1 (Casework)

2020 AMC 10B Problems/Problem 9 Solution 6 (Casework)

2021 AMC 12A Problems/Problem 22 Solution 3 (Trigonometric Identities)

2021 Fall AMC 12B Problems/Problem 24 Solution 4

2022 AMC 12A Problems/Problem 22 Info

2005 Indonesia MO Problems/Problem 8 Solution 2

1991 AIME Problems/Problem 13 Solution 3

1991 AIME Problems/Problem 13 Solution 3

2022 AMC 10B Problems/Problem 16 Solution 4

2022 AMC 10A Problems/Problem 19 Solution

2022 AMC 12A Problems/Problem 19 Problem

2022 AMC 10A Problems Problem 22

2022 AMC 10A Problems/Problem 25

200px

2006 AMC 10B Problems/Problem 21 Solution 3 (intuitive)

2017 AMC 10A Problems/Problem 22 Solution 1

2021 Fall AMC 10B Problems/Problem 23 Solution 4 (Clear & Elementary Casework)

2021 Fall AMC 10B Problems/Problem 23 Latex

2021 Fall AMC 10B Problems/Problem 23 Solution 3 (Guesswork + Deduction)

2021 Fall AMC 10B Problems/Problem 23 Revision

2018 AMC 8 Problems/Problem 21 Solution 3 - Chinese Remainder Theorem

2020 AMC 8 Problems/Problem 12 Solution 3 (Using Answer Choices)

2018 AMC 10A Problems/Problem 18 Solution 10

2002 AMC 12A Problems/Problem 16 Solution 4

2010 AMC 12A Problems/Problem 16 Solution 1

2008 AMC 12A Problems/Problem 15 Solution 2

2009 AMC 10A Problems/Problem 22 Solution 4 (Educated Guess)

2009 AMC 10A Problems/Problem 21 Solution 2

2009 AMC 10A Problems/Problem 21 Solution 2

2011 AMC 10B Problems/Problem 18 Easier Way to Continue

2011 AMC 10B Problems/Problem 18 Trig Subsolution

2009 AMC 12A Problems/Problem 20 Note

2009 AMC 12A Problems/Problem 20 Solution 4 (Easiest Way)

2013 AMC 10B Problems/Problem 24 Shortcut

2008 AMC 10A Problems/Problem 12 Solution

2014 AMC 10A Problems/Problem 13 Solution 5

2014 AMC 10A Problems/Problem 13 Solution 4

2015 AMC 10B Problems/Problem 22 Solution 5

2015 AMC 10B Problems/Problem 11 Solution 2

2015 AMC 10A Problems/Problem 16 Solution 5 (Very In-Depth and Reasoned)

2000 AMC 12 Problems/Problem 15 Minor Latex

1983 AHSME Problems/Problem 18 Solution 2

2002 AMC 12A Problems/Problem 12 Solution 3

2002 AMC 12A Problems/Problem 12 Solution 3

2016 AMC 12A Problems/Problem 15

2020 USOJMO Problems/Problem 2

2017 AMC 10B Problems/Problem 17 Solution 3

2017 AMC 10A Problems/Problem 14 Solution 3

2020 AMC 10A Problems/Problem 10 Solution 1

2021 AMC 10B Problems/Problem 13 Solution 2

2021 AMC 12A Problems/Problem 17 Solution 3 Formatting

2021 AMC 12A Problems/Problem 5 Solution 3

2002 AIME I Problems/Problem 14 Solution (current)

2019 AMC 10A Problems/Problem 14 Solution

The Root of Root Conjecture The Conjecture

2011 AMC 10A Problems/Problem 20 Solution (current)

2003 AMC 10A Problems/Problem 21 Solution 4

2003 AMC 10A Problems/Problem 21 Solution 5

2020 AMC 10A Problems/Problem 14 Solution 9

2020 AMC 10A Problems/Problem 14 Solution 9

Pascal's Triangle Binomial Coefficients

Pascaltriangle.jpg

Combinatorial Identity Proof

2006 AMC 10B Problems/Problem 24 Solution

2006AMC10B24.png Picture for the Solution 1 of 2006 AMC 10B No. 24. (current)

2006 AMC 10B Problems/Problem 19 Non-Trig Approach

2006 AMC 10B Problems/Problem 19 Solution 1

2006 AMC 10B Problems/Problem 17 Solution 2

2006 AMC 10B Problems/Problem 17 Solution

2003 AMC 10A Problems/Problem 25 Solution 2

2003 AMC 10A Problems/Problem 25 Wrong Place of Note

2003 AMC 12A Problems/Problem 12 Solution (current)

2003 AMC 12A Problems/Problem 12 Video Solution

2003 AMC 10A Problems/Problem 18 Solution 2

2019 AMC 8 Problems/Problem 24 Solution 16 (Straightforward Solution)

2004 AMC 10B Problems/Problem 18 Solution 5

2009 AMC 12B Problems/Problem 25 Solution 3

2004 AMC 10A Problems/Problem 20 Solution 5

2004 AMC 12A Problems/Problem 14 Solution 5

2005 AMC 10B Problems/Problem 25 Solution 1 Alternate Solution

2005 AMC 10B Problems/Problem 23 Solution 2

2005 AMC 10B Problems/Problem 14 No need for WLOG while defining new variables.

2005 AMC 10A Problems/Problem 19 Solution Add-On

2006 AMC 12A Problems/Problem 20 Solution 1

2006 AMC 12A Problems/Problem 20 Solutions

2006 AMC 12A Problems/Problem 20 Solution 1

2006 AMC 12A Problems/Problem 16 Problem

2006 AMC 10A Problems/Problem 16 Solution 2

2006 AMC 10A Problems/Problem 16 Solution

2008 AMC 12A Problems/Problem 22 Solution 1 (Trigonometry)

2008 AMC 12A Problems/Problem 15 Note

2008 AMC 10A Problems/Problem 18 Solution 6

2008 AMC 10A Problems/Problem 15 Solution 4

2009 AMC 10A Problems/Problem 22 Solution 4

2009 AMC 10A Problems/Problem 22 Solution 2

2009 AMC 10A Problems/Problem 22 Solution 3

2010 AMC 12A Problems/Problem 17 Proof Triangle ACE is Equilateral.

2010 AMC 12A Problems/Problem 17 Solution 3

2010 AMC 12A Problems/Problem 16 Solution

2010 AMC 12A Problems/Problem 16 Solution

2011 AMC 10A Problems/Problem 23 Solution 2

2012 AMC 10A Problems/Problem 22 Solution 1

2012 AMC 10A Problems/Problem 17 Solution 4

2014 AMC 10A Problems/Problem 22 Note

2014 AMC 10A Problems/Problem 22 Solution 5(15-75-90 Triangle)

2014 AMC 10A Problems/Problem 22 Solution 4 (No Trigonometry)

2014 AMC 10A Problems/Problem 20 Solution 2

2015 AMC 10A Problems/Problem 24 Solution 2

2015 AMC 10A Problems/Problem 19 Solution 1 (No Trigonometry)

2015 AMC 10A Problems/Problem 19 Picture for 2015 AMC 10A Problem 19 Solution.

2015 AMC 10A Problems/Problem 18 Solution

2004 AMC 10A Problems/Problem 20 Problem

2010 AMC 12A Problems/Problem 14 Solution 2 (Trick)

2010 AMC 12A Problems/Problem 14 Solution

2017 AMC 10A Problems/Problem 17 Solution 2

2018 AMC 10A Problems/Problem 23 Solution 7(Slightly different from the first solution:)

2018 AMC 10A Problems/Problem 14 Solution 2

2018 AMC 10A Problems/Problem 11 Solution 6(Solution 5 but more in-depth)

2018 AMC 10A Problems/Problem 11 Solution 5 (Stars and Bars)

2021 AMC 10A Problems/Problem 2 Problem

2020 AMC 10A Problems/Problem 25 Solution 1

2002 AMC 12A Problems/Problem 8 Solution

2019 AMC 8 Problems/Problem 24 Solution 19

2019 AMC 8 Problems/Problem 24 Solution 7

2014 AMC 8 Problems/Problem 22 Solution 2(Alternative Approach)

2015 AMC 8 Problems/Problem 25 Solution 2(Contest Solution)

2007 AMC 8 Problems Problem 25

2019 AMC 8 Problems Problem 12

2019 AMC 8 Problems Problem 5

2013 AMC 8 Problems/Problem 24 Solution 3

2004 AMC 8 Problems/Problem 23 Solution 1

2004 AMC 8 Problems/Problem 15 Problem

2007 AMC 8 Problems/Problem 25 Solution

2014 AMC 8 Problems/Problem 25 Solution 1

1996 AHSME Problems/Problem 24 Solution 3

2004 AMC 12A Problems Problem 5

2018 AMC 8 Problems/Problem 20 Solution 2

2018 AMC 8 Problems/Problem 20 Solution 3

2019 AMC 8 Problems/Problem 2 Solution 3

2019 AMC 8 Problems/Problem 25 Solution 2

2019 AMC 8 Problems/Problem 15 Solution 1

2004 AMC 10B Problems/Problem 20 Problem

2002 AMC 8 Problems Problem 9

2003 AMC 8 Problems/Problem 23 Solution

2003 AMC 8 Problems/Problem 22 Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Mathboy282&oldid=220371"