Difference between revisions of "User:Isabelchen"

(AIME)
(AMC 8)
 
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==AOPS Contributions==
 
==AOPS Contributions==
 +
 +
=== AJHSME ===
 +
#[https://artofproblemsolving.com/wiki/index.php/1994_AJHSME_Problems/Problem_25#Solution_2 1994 AJHSME Problem 25 Solution 2] (Number Theory)
  
 
=== AHSME ===
 
=== AHSME ===
 
+
# [https://artofproblemsolving.com/wiki/index.php/1991_AHSME_Problems/Problem_30#Solution_2_.28PIE.29 1991 AHSME Problem 30 Solution 2] (Combinatorics)
# [https://artofproblemsolving.com/wiki/index.php/1995_AHSME_Problems/Problem_27#Remark_.28Chinese_Remainder_Theorem.29 1995 AHSME Problem 27 Solution 1 Remark] (Number Theory)
+
# [https://artofproblemsolving.com/wiki/index.php/1994_AHSME_Problems/Problem_28#Solution_2 1994 AHSME Problem 28 Solution 2] (Analytic Geometry)
 +
# [https://artofproblemsolving.com/wiki/index.php/1994_AHSME_Problems/Problem_29#Solution_2 1994 AHSME Problem 29 Solution 2] (Geometry, Trigonometry)
 +
# [https://artofproblemsolving.com/wiki/index.php/1995_AHSME_Problems/Problem_30#Solution_2 1995 AHSME Problem 30 Solution 2] (3D Geometry)
 +
# [https://artofproblemsolving.com/wiki/index.php/1996_AHSME_Problems/Problem_27#Solution_3 1996 AHSME Problem 27 Solution 3] (3D Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/1996_AHSME_Problems/Problem_30#Solution_4 1996 AHSME Problem 30 Solution 4] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/1996_AHSME_Problems/Problem_30#Solution_5 1996 AHSME Problem 30 Solution 5] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/1996_AHSME_Problems/Problem_30#Solution_6_.28Ptolemy.27s_theorem.29 1996 AHSME Problem 30 Solution 6] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/1997_AHSME_Problems/Problem_30#Solution_3_.28Casework.29 1997 AHSME Problem 30 Solution 3] (Combinatorics)
 +
#[https://artofproblemsolving.com/wiki/index.php/1998_AHSME_Problems/Problem_28#Solution_4 1998 AHSME Problem 28 Solution 4] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/1999_AHSME_Problems/Problem_25#Solution_4 1999 AHSME Problem 25 Solution 4] (Number Theory)
 +
#[https://artofproblemsolving.com/wiki/index.php/1999_AHSME_Problems/Problem_27#Supplement 1999 AHSME Problem 27 Supplement] (Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/1999_AHSME_Problems/Problem_28#Solution_2 1999 AHSME Problem 28 Solution 2] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/1999_AHSME_Problems/Problem_29#Solution_2 1999 AHSME Problem 29 Solution 2] (3D Geometry)
  
 
=== AMC 8 ===
 
=== AMC 8 ===
 
+
#[https://artofproblemsolving.com/wiki/index.php/2004_AMC_8_Problems/Problem_14#Solution_1 2004 AMC8 Problem 14 Solution 1] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AMC_8_Problems/Problem_25#Solution_4_.28Dynamic_Programming.29 2022 AMC8 Problem 25 Solution 4] (Probability)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AMC_8_Problems/Problem_25#Solution_4_.28Dynamic_Programming.29 2022 AMC8 Problem 25 Solution 4] (Probability)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AMC_8_Problems/Problem_25#Remark 2022 AMC8 Problem 25 Remark] (Probability)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AMC_8_Problems/Problem_25#Remark 2022 AMC8 Problem 25 Remark] (Probability)
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# [https://artofproblemsolving.com/wiki/index.php/2015_AMC_10A_Problems/Problem_24#Solution_3 2015 AMC10A Problem 24 Solution 3] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2015_AMC_10A_Problems/Problem_24#Solution_3 2015 AMC10A Problem 24 Solution 3] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2015_AMC_10B_Problems/Problem_19#Solution_3 2015 AMC10B Problem 19 Solution 3] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2015_AMC_10B_Problems/Problem_19#Solution_3 2015 AMC10B Problem 19 Solution 3] (Geometry)
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_10A_Problems/Problem_20#Solution_4_.28Casework.29 2016 AMC10A Problem 20 Solution 4] (Combinatorics)
+
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_10A_Problems/Problem_20#Solution_3_.28Casework.29 2016 AMC10A Problem 20 Solution 3] (Combinatorics)
 
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_10B_Problems/Problem_19#Solution_4_.28Area.29 2016 AMC10B Problem 19 Solution 4] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_10B_Problems/Problem_19#Solution_4_.28Area.29 2016 AMC10B Problem 19 Solution 4] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_10B_Problems/Problem_19#Solution_5_.28Area.29 2016 AMC10B Problem 19 Solution 5] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_10B_Problems/Problem_19#Solution_5_.28Area.29 2016 AMC10B Problem 19 Solution 5] (Geometry)
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# [https://artofproblemsolving.com/wiki/index.php/2019_AMC_10B_Problems/Problem_22#Solution_4_.28Markov_Chain.29 2019 AMC10B Problem 22 Solution 4] (Probability, Markov Chain)
 
# [https://artofproblemsolving.com/wiki/index.php/2019_AMC_10B_Problems/Problem_22#Solution_4_.28Markov_Chain.29 2019 AMC10B Problem 22 Solution 4] (Probability, Markov Chain)
 
# [https://artofproblemsolving.com/wiki/index.php/2019_AMC_10B_Problems/Problem_25#Solution_6_.28Recursion.29 2019 AMC10B Problem 25 Solution 6] (Combinatorics)
 
# [https://artofproblemsolving.com/wiki/index.php/2019_AMC_10B_Problems/Problem_25#Solution_6_.28Recursion.29 2019 AMC10B Problem 25 Solution 6] (Combinatorics)
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10A_Problems/Problem_20#Solution_8_.28Solving_Equations.29 2020 AMC10A Problem 20 Solution 8] (Geometry)
+
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10A_Problems/Problem_20#Solution_7_.28Solving_Equations.29 2020 AMC10A Problem 20 Solution 7] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10A_Problems/Problem_24#Solution_9_.28Euclidean_Algorithm.29 2020 AMC10A Problem 24 Solution 9] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10A_Problems/Problem_24#Solution_9_.28Euclidean_Algorithm.29 2020 AMC10A Problem 24 Solution 9] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10A_Problems/Problem_24#Solution_10_.28Diophantine_Equations.29 2020 AMC10A Problem 24 Solution 10] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10A_Problems/Problem_24#Solution_10_.28Diophantine_Equations.29 2020 AMC10A Problem 24 Solution 10] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10A_Problems/Problem_24#Solution_11_.28Chinese_Remainder_Theorem.29 2020 AMC10A Problem 24 Solution 11] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10A_Problems/Problem_24#Solution_11_.28Chinese_Remainder_Theorem.29 2020 AMC10A Problem 24 Solution 11] (Number Theory)
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_13#Solution_3_.28Find_the_Pattern.29 2020 AMC10B Problem 13 Solution 3] (Combinatorics)
+
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_13#Solution_3_.28Pattern.29 2020 AMC10B Problem 13 Solution 3] (Combinatorics)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_21#Solution_6 2020 AMC10B Problem 21 Solution 6] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_21#Solution_6 2020 AMC10B Problem 21 Solution 6] (Geometry)
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_23#Solution_7_.28Group_Theory.29 2020 AMC10B Problem 23 Solution 7] (Group Theory)
+
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_23#Solution_5_.28Group_Theory.29 2020 AMC10B Problem 23 Solution 5] (Group Theory)
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_24#Solution_8_.28General_Equation.29  2020 AMC10B Problem 24 Solution 8] (Algebra)
+
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_24#Solution_8 2020 AMC10B Problem 24 Solution 8] (Algebra)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_25#Solution_7_.28Integer_Partition.29 2020 AMC10B Problem 25 Solution 7] (Combinatorics)
 
# [https://artofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_25#Solution_7_.28Integer_Partition.29 2020 AMC10B Problem 25 Solution 7] (Combinatorics)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_12A_Problems/Problem_23#Solution_8_.28Markov_Chain.29 2021 Spring AMC10A Problem 23 Solution 8] (Probability, Markov Chain)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_12A_Problems/Problem_23#Solution_8_.28Markov_Chain.29 2021 Spring AMC10A Problem 23 Solution 8] (Probability, Markov Chain)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_10A_Problems/Problem_24#Solution_3_.28Slopes_and_Intercepts.29 2021 Spring AMC10A Problem 24 Solution 3] (Analytic Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_10A_Problems/Problem_24#Solution_3_.28Slopes_and_Intercepts.29 2021 Spring AMC10A Problem 24 Solution 3] (Analytic Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_10A_Problems/Problem_25#Solution_4_.28Casework_and_Symmetry.29  2021 Spring AMC10A Problem 25 Solution 4] (Combinatorics)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_10A_Problems/Problem_25#Solution_4_.28Casework_and_Symmetry.29  2021 Spring AMC10A Problem 25 Solution 4] (Combinatorics)
 +
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_12B_Problems/Problem_25#Solution_4 2021 Spring AMC10B Problem 25 Solution 4] (Analytic Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_12B_Problems/Problem_25#Solution_5 2021 Spring AMC10B Problem 25 Solution 5] (Analytic Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_12B_Problems/Problem_25#Solution_5 2021 Spring AMC10B Problem 25 Solution 5] (Analytic Geometry)
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_12B_Problems/Problem_25#Solution_6 2021 Spring AMC10B Problem 25 Solution 6] (Analytic Geometry)
 
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_12B_Problems/Problem_25#Remark 2021 Spring AMC10B Problem 25 Remark] (Analytic Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AMC_12B_Problems/Problem_25#Remark 2021 Spring AMC10B Problem 25 Remark] (Analytic Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_Fall_AMC_10A_Problems/Problem_24#Solution_4 2021 Fall AMC10A Problem 24 Solution 4] (Graph Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_Fall_AMC_10A_Problems/Problem_24#Solution_4 2021 Fall AMC10A Problem 24 Solution 4] (Graph Theory)
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===AMC 12===
 
===AMC 12===
  
 +
#[https://artofproblemsolving.com/wiki/index.php/2000_AMC_12_Problems/Problem_25#Solution_5_.28Graph_Theory.29 2000 AMC12 Problem 25 Solution 5] (Graph Theory)
 +
#[https://artofproblemsolving.com/wiki/index.php/2001_AMC_12_Problems/Problem_22#Solution_5 2001 AMC12 Problem 22 Solution 5] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2001_AMC_12_Problems/Problem_24#Solution_5_.28Law_of_Sines.29 2001 AMC12 Problem 24 Solution 5] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2002_AMC_12A_Problems/Problem_23#Solution_4 2002 AMC12A Problem 23 Solution 4] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2002_AMC_12A_Problems/Problem_23#Solution_5_.28Trigonometry.29 2002 AMC12A Problem 23 Solution 5] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2003_AMC_12A_Problems/Problem_17#Solution_8 2003 AMC12A Problem 17 Solution 8] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2003_AMC_12B_Problems/Problem_21#Solution_2_.28Analytic_Geometry.29 2003 AMC12B Problem 21 Solution 2] (Analytic Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2003_AMC_12B_Problems/Problem_25#Solution_3 2003 AMC12B Problem 25 Solution 3] (Probability)
 +
#[https://artofproblemsolving.com/wiki/index.php/2007_AMC_12B_Problems/Problem_23#Solution_3 2007 AMC12B Problem 23 Solution 3] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2009_AMC_12B_Problems/Problem_24#Solution_4 2009 AMC12B Problem 24 Solution 4] (Trigonometry)
 
#[https://artofproblemsolving.com/wiki/index.php/2010_AMC_12A_Problems/Problem_23#Remark_.28Chinese_Remainder_Theorem.29 2010 AMC12A Problem 23 Remark] (Number Theory)
 
#[https://artofproblemsolving.com/wiki/index.php/2010_AMC_12A_Problems/Problem_23#Remark_.28Chinese_Remainder_Theorem.29 2010 AMC12A Problem 23 Remark] (Number Theory)
 +
#[https://artofproblemsolving.com/wiki/index.php/2010_AMC_12B_Problems/Problem_23#Solution_4 2010 AMC12B Problem 23 Solution 4] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2011_AMC_12B_Problems/Problem_20#Solution_6_.28Trigonometry.29 2011 AMC12B Problem 20 Solution 6] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2012_AMC_12B_Problems/Problem_17#Solution_6 2012 AMC12B Problem 17 Solution 6] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2012_AMC_12B_Problems/Problem_18#Solution_5_.28Recursion.29 2012 AMC12B Problem 18 Solution 5] (Combinatorics)
 +
#[https://artofproblemsolving.com/wiki/index.php/2012_AMC_12B_Problems/Problem_19#Solution_3 2012 AMC12B Problem 19 Solution 3] (3D Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2012_AMC_12B_Problems/Problem_20#Solution_2 2012 AMC12B Problem 20 Solution 2] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2012_AMC_12B_Problems/Problem_21#Solution_4 2012 AMC12B Problem 21 Solution 4] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2013_AMC_12A_Problems/Problem_16#Solution_4 2013 AMC12A Problem 16 Solution 4] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2013_AMC_12A_Problems/Problem_18#Solution_3_.28Simply_Drawing.29 2013 AMC12A Problem 18 Solution 3] (3D Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2013_AMC_12B_Problems/Problem_24#Solution_6 2013 AMC12B Problem 24 Solution 6] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2013_AMC_12B_Problems/Problem_25#Solution_3 2013 AMC12B Problem 25 Solution 3] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2014_AMC_12A_Problems/Problem_20#Remark 2014 AMC12A Problem 20 Remark] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2014_AMC_10A_Problems/Problem_25#Solution_2 2014 AMC12A Problem 22 Solution 2] (Number Theory)
 +
#[https://artofproblemsolving.com/wiki/index.php/2014_AMC_12B_Problems/Problem_21#Solution_6 2014 AMC12B Problem 21 Solution 6] (Geometry)
 
#[https://artofproblemsolving.com/wiki/index.php/2014_AMC_12B_Problems/Problem_22#Remark_.28Markov_Chain.29 2014 AMC12B Problem 22 Remark] (Probability, Markov Chain)
 
#[https://artofproblemsolving.com/wiki/index.php/2014_AMC_12B_Problems/Problem_22#Remark_.28Markov_Chain.29 2014 AMC12B Problem 22 Remark] (Probability, Markov Chain)
 +
#[https://artofproblemsolving.com/wiki/index.php/2014_AMC_12B_Problems/Problem_24#Solution_4 2014 AMC12B Problem 24 Solution 4] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2016_AMC_10A_Problems/Problem_23#Solution_5 2016 AMC12A Problem 20 Solution 5] (Algebra)
 
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_10A_Problems/Problem_24#Remark_.28Morley.27s_Trisector_Theorem.29 2016 AMC12A Problem 21 Remark] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_10A_Problems/Problem_24#Remark_.28Morley.27s_Trisector_Theorem.29 2016 AMC12A Problem 21 Remark] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2016_AMC_12B_Problems/Problem_15#Solution_4 2016 AMC12B Problem 15 Solution 4] (Combinatorics)
 +
#[https://artofproblemsolving.com/wiki/index.php/2017_AMC_12A_Problems/Problem_22#Remark_.28Markov_Chain.29 2017 AMC12A Problem 22 Remark] (Probability, Markov Chain)
 +
#[https://artofproblemsolving.com/wiki/index.php/2017_AMC_12A_Problems/Problem_24#Solution_4 2017 AMC12A Problem 24 Solution 4] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2017_AMC_12A_Problems/Problem_25#Solution_6_.28Casework.29 2017 AMC12A Problem 25 Solution 6] (Algebra & Probability)
 +
#[https://artofproblemsolving.com/wiki/index.php/2017_AMC_12B_Problems/Problem_22#Solution_5_.28Casework.29 2017 AMC12B Problem 22 Solution 5] (Probability)
 +
#[https://artofproblemsolving.com/wiki/index.php/2017_AMC_12B_Problems/Problem_24#Solution_3 2017 AMC12B Problem 24 Solution 3] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2018_AMC_12A_Problems/Problem_21#Solution_4 2018 AMC12A Problem 21 Solution 4] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2018_AMC_12A_Problems/Problem_21#Solution_5_.28Monotonic_Function.29 2018 AMC12A Problem 21 Solution 5] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2018_AMC_12A_Problems/Problem_21#Solution_6_.28Proof_by_Contradiction.29 2018 AMC12A Problem 21 Solution 6] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2018_AMC_12B_Problems/Problem_25#Solution_6_.28Trignometry_Bash.29 2018 AMC12B Problem 25 Solution 6] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2019_AMC_10A_Problems/Problem_22#Solution_4 2019 AMC12A Problem 20 Solution 4] (Probability)
 +
#[https://artofproblemsolving.com/wiki/index.php/2020_AMC_12A_Problems/Problem_24#Solution_9_.28Trig_Bash.29 2020 AMC12A Problem 24 Solution 9] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2020_AMC_12B_Problems/Problem_25#Solution_2_.28Trigonometry_Identities.29 2020 AMC12B Problem 25 Solution 2] (Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2020_AMC_12B_Problems/Problem_25#Solution_4_.28Calculus_Finish.29 2020 AMC12B Problem 25 Solution 4] (Calculus)
 +
#[https://artofproblemsolving.com/wiki/index.php/2021_AMC_12A_Problems/Problem_24#Solution_5_.28Law_of_Sine_and_Power_of_a_Point.29 2021 Spring AMC12A Problem 24 Solution 5] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2021_AMC_12B_Problems/Problem_18#Solution_2 2021 Spring AMC12B Problem 18 Solution 2] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2021_AMC_12B_Problems/Problem_20#Solution_7_.28Factorization.29 2021 Spring AMC12B Problem 20 Solution 7] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2021_AMC_12B_Problems/Problem_24#Solution_6_.28Similar_Triangles_.26_Pythagorean_Theorem.29 2021 Spring AMC12B Problem 24 Solution 6] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2021_Fall_AMC_12B_Problems/Problem_24#Solution_1_.28Reflection.29 2021 Fall AMC12B Problem 24 Solution 1] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2022_AMC_10A_Problems/Problem_23#Solution_5_.28Polar_Coordinates.29 2022 AMC12A Problem 20 Solution 5] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_22#Solution_5_.28Calculus_Finish.29 2022 AMC12A Problem 23 Solution 5] (Calculus)
 +
#[https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_25#Solution_3 2022 AMC12A Problem 25 Solution 3] (Geometry, Number Theory)
 +
#[https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_19#Solution_3_.28Law_of_Cosine.29 2022 AMC12B Problem 19 Solution 3] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_24#Supplement_.28Explanation_of_why_cos.282.CF.80.2F7.29_.2B_cos.284.CF.80.2F7.29_.2B_cos.286.CF.80.2F7.29_.3D_-1.2F2.29 2022 AMC12B Problem 24 Supplement] (Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_25#Solution_3_.28Euclidean_Geometry.29 2022 AMC12B Problem 25 Solution 3] (Geometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_20#Solution_3_.28Recursion.29 2023 AMC12A Problem 20 Solution 3] (Combinatorics)
 +
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_21#Solution_6_.28Case_Work.29 2023 AMC12A Problem 21 Solution 6] (Probability)
 +
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_25#Solution_1 2023 AMC12A Problem 25 Solution 1] (Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_16#Solution_3_.28Modulo_6.29 2023 AMC12B Problem 16 Solution 3] (Number Theory)
 +
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_17#Solution_2 2023 AMC12B Problem 17 Solution 2] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_17#Solution_3 2023 AMC12B Problem 17 Solution 3] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_18#Solution_3_.28Algebra.29 2023 AMC12B Problem 18 Solution 3] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_20#Solution_1 2023 AMC12B Problem 20 Solution 1] (Geometry, Trigonometry)
 +
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_25#Supplement_.28Calculating_sin54.2Fcos36_from_Scratch.29 2023 AMC12B Problem 25 Supplement] (Geometry, Trigonometry)
  
 
===AIME===
 
===AIME===
  
# [https://artofproblemsolving.com/wiki/index.php/1983_AIME_Problems/Problem_4#Solution_6_.28Trigonometry.29 1983 AIME Problem 4 Solution 5] (Trigonometry, Angle Difference and Law of Cosine)
+
# [https://artofproblemsolving.com/wiki/index.php/1983_AIME_Problems/Problem_4#Solution_6_.28Trigonometry.29 1983 AIME Problem 4 Solution 6] (Geometry, Trigonometry)
# 1985 AIME Problem 11 Solution 3 (Analytic Geometry)
+
# [https://artofproblemsolving.com/wiki/index.php/1983_AIME_Problems/Problem_7#Solution_7 1983 AIME Problem 7 Solution 7] (Combinatorics)
 
# [https://artofproblemsolving.com/wiki/index.php/1985_AIME_Problems/Problem_12#Solution_5_.28Dynamic_Programming.29 1985 AIME Problem 12 Solution 5] (Probability)
 
# [https://artofproblemsolving.com/wiki/index.php/1985_AIME_Problems/Problem_12#Solution_5_.28Dynamic_Programming.29 1985 AIME Problem 12 Solution 5] (Probability)
 
# [https://artofproblemsolving.com/wiki/index.php/1997_AIME_Problems/Problem_9#Solution_4 1997 AIME Problem 9 Solution 4] (Algebra)
 
# [https://artofproblemsolving.com/wiki/index.php/1997_AIME_Problems/Problem_9#Solution_4 1997 AIME Problem 9 Solution 4] (Algebra)
 +
#[https://artofproblemsolving.com/wiki/index.php/2001_AIME_II_Problems/Problem_9#Solution_3_.28Case_Work.29 2001 AIME II Problem 9 Solution 3] (Combinatorics)
 
#[https://artofproblemsolving.com/wiki/index.php/2021_AIME_I_Problems/Problem_12#Solution_2_.28Markov_Chain.29 2021 AIME I Problem 12 Solution 2] (Probability, Markov Chain)
 
#[https://artofproblemsolving.com/wiki/index.php/2021_AIME_I_Problems/Problem_12#Solution_2_.28Markov_Chain.29 2021 AIME I Problem 12 Solution 2] (Probability, Markov Chain)
 
#[https://artofproblemsolving.com/wiki/index.php/2021_AIME_I_Problems/Problem_12#Remark_.28Markov_Chain.29 2021 AIME I Problem 12 Remark] (Probability, Markov Chain)
 
#[https://artofproblemsolving.com/wiki/index.php/2021_AIME_I_Problems/Problem_12#Remark_.28Markov_Chain.29 2021 AIME I Problem 12 Remark] (Probability, Markov Chain)
Line 80: Line 156:
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AIME_II_Problems/Problem_8#Remark_.28Markov_Chain.29 2021 AIME II Problem 8 Remark] (Probability, Markov Chain)
 
# [https://artofproblemsolving.com/wiki/index.php/2021_AIME_II_Problems/Problem_8#Remark_.28Markov_Chain.29 2021 AIME II Problem 8 Remark] (Probability, Markov Chain)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_I_Problems/Problem_8#Solution_2_.28Euclidean_Geometry.29 2022 AIME I Problem 8 Solution 2] (Geometry)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_I_Problems/Problem_8#Solution_2_.28Euclidean_Geometry.29 2022 AIME I Problem 8 Solution 2] (Geometry)
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_2#Solution_1 2022 AIME II Problem 2 Solution 1] (Probability)
+
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_2#Solution 2022 AIME II Problem 2 Solution] (Probability)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_5#Solution_1 2022 AIME II Problem 5 Solution 1] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_5#Solution_1 2022 AIME II Problem 5 Solution 1] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_6#Solution_1 2022 AIME II Problem 6 Solution 1] (Algebra)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_6#Solution_1 2022 AIME II Problem 6 Solution 1] (Algebra)
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# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_8#Solution_2_Supplement 2022 AIME II Problem 8 Solution 2 Supplement] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_8#Solution_2_Supplement 2022 AIME II Problem 8 Solution 2 Supplement] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_8#Solution_3_Supplement 2022 AIME II Problem 8 Solution 3 Supplement] (Number Theory)
 
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_8#Solution_3_Supplement 2022 AIME II Problem 8 Solution 3 Supplement] (Number Theory)
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_14#Solution_1 2022 AIME II Problem 14 Solution 1] (Algebra)
+
# [https://artofproblemsolving.com/wiki/index.php/2022_AIME_II_Problems/Problem_14#Solution_1 2022 AIME II Problem 14 Solution] (Algebra)

Latest revision as of 09:12, 19 January 2024

AOPS Contributions

AJHSME

  1. 1994 AJHSME Problem 25 Solution 2 (Number Theory)

AHSME

  1. 1991 AHSME Problem 30 Solution 2 (Combinatorics)
  2. 1994 AHSME Problem 28 Solution 2 (Analytic Geometry)
  3. 1994 AHSME Problem 29 Solution 2 (Geometry, Trigonometry)
  4. 1995 AHSME Problem 30 Solution 2 (3D Geometry)
  5. 1996 AHSME Problem 27 Solution 3 (3D Geometry)
  6. 1996 AHSME Problem 30 Solution 4 (Geometry, Trigonometry)
  7. 1996 AHSME Problem 30 Solution 5 (Geometry, Trigonometry)
  8. 1996 AHSME Problem 30 Solution 6 (Geometry)
  9. 1997 AHSME Problem 30 Solution 3 (Combinatorics)
  10. 1998 AHSME Problem 28 Solution 4 (Geometry, Trigonometry)
  11. 1999 AHSME Problem 25 Solution 4 (Number Theory)
  12. 1999 AHSME Problem 27 Supplement (Trigonometry)
  13. 1999 AHSME Problem 28 Solution 2 (Algebra)
  14. 1999 AHSME Problem 29 Solution 2 (3D Geometry)

AMC 8

  1. 2004 AMC8 Problem 14 Solution 1 (Geometry)
  2. 2022 AMC8 Problem 25 Solution 4 (Probability)
  3. 2022 AMC8 Problem 25 Remark (Probability)

AMC 10

  1. 2013 AMC10A Problem 24 Graph Theory Insight (Graph Theory)
  2. 2013 AMC10A Problem 25 Solution 5 (Discrete Geometry)
  3. 2013 AMC10B Problem 22 Remark (Number Theory)
  4. 2014 AMC10A Problem 18 Solution 2 (Analytic Geometry)
  5. 2014 AMC10A Problem 18 Solution 3 (Analytic Geometry)
  6. 2014 AMC10A Problem 22 Solution 6 (Geometry)
  7. 2014 AMC10A Problem 22 Solution 7 (Geometry)
  8. 2015 AMC10A Problem 21 Solution 3 (3D Geometry)
  9. 2015 AMC10A Problem 22 Solution 4 (Combinatorics)
  10. 2015 AMC10A Problem 24 Solution 3 (Geometry)
  11. 2015 AMC10B Problem 19 Solution 3 (Geometry)
  12. 2016 AMC10A Problem 20 Solution 3 (Combinatorics)
  13. 2016 AMC10B Problem 19 Solution 4 (Geometry)
  14. 2016 AMC10B Problem 19 Solution 5 (Geometry)
  15. 2016 AMC10B Problem 22 Solution 4 (Graph Theory)
  16. 2016 AMC10B Problem 25 Solution 1 Supplement (Number Theory)
  17. 2016 AMC10B Problem 25 Solution 3 (Number Theory)
  18. 2016 AMC10B Problem 25 Solution 4 (Number Theory)
  19. 2016 AMC10B Problem 25 Remark (Number Theory)
  20. 2017 AMC10B Problem 17 Solution 4 (Combinatorics)
  21. 2017 AMC10B Problem 25 Solution 4 (Number Theory)
  22. 2018 AMC10A Problem 10 Solution 8 (Analytic Geometry)
  23. 2018 AMC10A Problem 22 Solution 6 (Number Theory)
  24. 2018 AMC10B Problem 18 Solution 6 (Combinatorics)
  25. 2018 AMC10B Problem 24 Solution 4 (Geometry)
  26. 2018 AMC10B Problem 25 Solution 6 (Algebra)
  27. 2019 AMC10A Problem 22 Solution 3 (Probability)
  28. 2019 AMC10A Problem 24 Solution 2 (Algebra)
  29. 2019 AMC10B Problem 22 Solution 4 (Probability, Markov Chain)
  30. 2019 AMC10B Problem 25 Solution 6 (Combinatorics)
  31. 2020 AMC10A Problem 20 Solution 7 (Geometry)
  32. 2020 AMC10A Problem 24 Solution 9 (Number Theory)
  33. 2020 AMC10A Problem 24 Solution 10 (Number Theory)
  34. 2020 AMC10A Problem 24 Solution 11 (Number Theory)
  35. 2020 AMC10B Problem 13 Solution 3 (Combinatorics)
  36. 2020 AMC10B Problem 21 Solution 6 (Geometry)
  37. 2020 AMC10B Problem 23 Solution 5 (Group Theory)
  38. 2020 AMC10B Problem 24 Solution 8 (Algebra)
  39. 2020 AMC10B Problem 25 Solution 7 (Combinatorics)
  40. 2021 Spring AMC10A Problem 23 Solution 8 (Probability, Markov Chain)
  41. 2021 Spring AMC10A Problem 24 Solution 3 (Analytic Geometry)
  42. 2021 Spring AMC10A Problem 25 Solution 4 (Combinatorics)
  43. 2021 Spring AMC10B Problem 25 Solution 4 (Analytic Geometry)
  44. 2021 Spring AMC10B Problem 25 Solution 5 (Analytic Geometry)
  45. 2021 Spring AMC10B Problem 25 Remark (Analytic Geometry)
  46. 2021 Fall AMC10A Problem 24 Solution 4 (Graph Theory)
  47. 2021 Fall AMC10B Problem 12 Solution 1 (Algebra)
  48. 2021 Fall AMC10B Problem 20 Remark (Probability)
  49. 2021 Fall AMC10B Problem 23 Solution 2 (Graph Theory)
  50. 2021 Fall AMC10B Problem 24 Solution 1 (Graph Theory)

AMC 12

  1. 2000 AMC12 Problem 25 Solution 5 (Graph Theory)
  2. 2001 AMC12 Problem 22 Solution 5 (Geometry)
  3. 2001 AMC12 Problem 24 Solution 5 (Geometry, Trigonometry)
  4. 2002 AMC12A Problem 23 Solution 4 (Geometry)
  5. 2002 AMC12A Problem 23 Solution 5 (Geometry, Trigonometry)
  6. 2003 AMC12A Problem 17 Solution 8 (Geometry)
  7. 2003 AMC12B Problem 21 Solution 2 (Analytic Geometry)
  8. 2003 AMC12B Problem 25 Solution 3 (Probability)
  9. 2007 AMC12B Problem 23 Solution 3 (Geometry)
  10. 2009 AMC12B Problem 24 Solution 4 (Trigonometry)
  11. 2010 AMC12A Problem 23 Remark (Number Theory)
  12. 2010 AMC12B Problem 23 Solution 4 (Algebra)
  13. 2011 AMC12B Problem 20 Solution 6 (Geometry, Trigonometry)
  14. 2012 AMC12B Problem 17 Solution 6 (Geometry, Trigonometry)
  15. 2012 AMC12B Problem 18 Solution 5 (Combinatorics)
  16. 2012 AMC12B Problem 19 Solution 3 (3D Geometry)
  17. 2012 AMC12B Problem 20 Solution 2 (Geometry)
  18. 2012 AMC12B Problem 21 Solution 4 (Geometry, Trigonometry)
  19. 2013 AMC12A Problem 16 Solution 4 (Algebra)
  20. 2013 AMC12A Problem 18 Solution 3 (3D Geometry)
  21. 2013 AMC12B Problem 24 Solution 6 (Geometry)
  22. 2013 AMC12B Problem 25 Solution 3 (Algebra)
  23. 2014 AMC12A Problem 20 Remark (Geometry)
  24. 2014 AMC12A Problem 22 Solution 2 (Number Theory)
  25. 2014 AMC12B Problem 21 Solution 6 (Geometry)
  26. 2014 AMC12B Problem 22 Remark (Probability, Markov Chain)
  27. 2014 AMC12B Problem 24 Solution 4 (Geometry)
  28. 2016 AMC12A Problem 20 Solution 5 (Algebra)
  29. 2016 AMC12A Problem 21 Remark (Geometry)
  30. 2016 AMC12B Problem 15 Solution 4 (Combinatorics)
  31. 2017 AMC12A Problem 22 Remark (Probability, Markov Chain)
  32. 2017 AMC12A Problem 24 Solution 4 (Geometry, Trigonometry)
  33. 2017 AMC12A Problem 25 Solution 6 (Algebra & Probability)
  34. 2017 AMC12B Problem 22 Solution 5 (Probability)
  35. 2017 AMC12B Problem 24 Solution 3 (Geometry)
  36. 2018 AMC12A Problem 21 Solution 4 (Algebra)
  37. 2018 AMC12A Problem 21 Solution 5 (Algebra)
  38. 2018 AMC12A Problem 21 Solution 6 (Algebra)
  39. 2018 AMC12B Problem 25 Solution 6 (Geometry, Trigonometry)
  40. 2019 AMC12A Problem 20 Solution 4 (Probability)
  41. 2020 AMC12A Problem 24 Solution 9 (Geometry, Trigonometry)
  42. 2020 AMC12B Problem 25 Solution 2 (Trigonometry)
  43. 2020 AMC12B Problem 25 Solution 4 (Calculus)
  44. 2021 Spring AMC12A Problem 24 Solution 5 (Geometry, Trigonometry)
  45. 2021 Spring AMC12B Problem 18 Solution 2 (Algebra)
  46. 2021 Spring AMC12B Problem 20 Solution 7 (Algebra)
  47. 2021 Spring AMC12B Problem 24 Solution 6 (Geometry)
  48. 2021 Fall AMC12B Problem 24 Solution 1 (Geometry, Trigonometry)
  49. 2022 AMC12A Problem 20 Solution 5 (Geometry, Trigonometry)
  50. 2022 AMC12A Problem 23 Solution 5 (Calculus)
  51. 2022 AMC12A Problem 25 Solution 3 (Geometry, Number Theory)
  52. 2022 AMC12B Problem 19 Solution 3 (Geometry, Trigonometry)
  53. 2022 AMC12B Problem 24 Supplement (Trigonometry)
  54. 2022 AMC12B Problem 25 Solution 3 (Geometry)
  55. 2023 AMC12A Problem 20 Solution 3 (Combinatorics)
  56. 2023 AMC12A Problem 21 Solution 6 (Probability)
  57. 2023 AMC12A Problem 25 Solution 1 (Trigonometry)
  58. 2023 AMC12B Problem 16 Solution 3 (Number Theory)
  59. 2023 AMC12B Problem 17 Solution 2 (Geometry, Trigonometry)
  60. 2023 AMC12B Problem 17 Solution 3 (Geometry, Trigonometry)
  61. 2023 AMC12B Problem 18 Solution 3 (Algebra)
  62. 2023 AMC12B Problem 20 Solution 1 (Geometry, Trigonometry)
  63. 2023 AMC12B Problem 25 Supplement (Geometry, Trigonometry)

AIME

  1. 1983 AIME Problem 4 Solution 6 (Geometry, Trigonometry)
  2. 1983 AIME Problem 7 Solution 7 (Combinatorics)
  3. 1985 AIME Problem 12 Solution 5 (Probability)
  4. 1997 AIME Problem 9 Solution 4 (Algebra)
  5. 2001 AIME II Problem 9 Solution 3 (Combinatorics)
  6. 2021 AIME I Problem 12 Solution 2 (Probability, Markov Chain)
  7. 2021 AIME I Problem 12 Remark (Probability, Markov Chain)
  8. 2021 AIME II Problem 8 Solution 2 (Probability, Markov Chain)
  9. 2021 AIME II Problem 8 Remark (Probability, Markov Chain)
  10. 2022 AIME I Problem 8 Solution 2 (Geometry)
  11. 2022 AIME II Problem 2 Solution (Probability)
  12. 2022 AIME II Problem 5 Solution 1 (Number Theory)
  13. 2022 AIME II Problem 6 Solution 1 (Algebra)
  14. 2022 AIME II Problem 7 Solution 1 (Geometry)
  15. 2022 AIME II Problem 8 Solution 2 Supplement (Number Theory)
  16. 2022 AIME II Problem 8 Solution 3 Supplement (Number Theory)
  17. 2022 AIME II Problem 14 Solution (Algebra)