User:Cxsmi

Welcome

Welcome to my user page! Here, I compile lists of solutions I write on this wiki and post original problems I come up with for the world to see. Please add one to the visit count below if this is your first time on my user page (I got the idea from MRENTHUSIASM). Thanks for visiting my user page, and enjoy your stay!

Visit Count

4

About Me

Hi! I'm just another guy who happens to enjoy math. I often pop onto the AOPS wiki and look for problems to solve, and I sometimes even write solutions for them! I've starred ⭐ a few of my favorite solutions below; please feel free to take a look at any of them.

Solutions

AIME

1. 1987 AIME Problem 11 Solution 3 ⭐
2. 2012 AIME I Problem 2 Solution 3
3. 2024 AIME I Problem 6 Solution 5
4. 2000 AIME II Problem 1 Solution 4
5. 1985 AIME Problem 12 Solution 9 ⭐
6. 2012 AIME I Problem 8 Solution 7
7. 1987 AIME Problem 14 Solution 4

AMC 8

1. 2012 AMC 8 Problem 19 Solution 6
2. 2002 AMC 8 Problem 17 Solution 3
3. 2007 AMC 8 Problem 20 Solution 8
4. 2018 AMC 8 Problem 23 Solution 5 ⭐
5. 2016 AMC 8 Problem 13 Solution 3
6. 2017 AMC 8 Problem 9 Solution 2
7. 2012 AMC 8 Problem 20 Solution 7
8. 2010 AMC 8 Problem 25 Solution 3
9. 2024 AMC 8 Problem 11 Solution 3 ⭐
10. 2024 AMC 8 Problem 18 Solution 4
11. 2024 AMC 8 Problem 11 Solution 4

AJHSME

1. 1997 AJHSME Problem 22 Solution 1
2. 1985 AJHSME Problem 1 Solution 2
3. 1985 AJHSME Problem 24 Solution 2 ⭐
4. 1985 AJHSME Problem 2 Solution 5

AHSME

1. 1950 AHSME Problem 40 Solution 2
2. 1950 AHSME Problem 41 Solution 2
3. 1972 AHSME Problem 16 Solution 2
4. 1950 AHSME Problem 45 Solution 3
5. 1956 AHSME Problem 23 Solution 1

AMC 10/12

1. 2021 Fall AMC 12B Problem 12 Solution 6
2. 2021 Fall AMC 10B Problem 1/AMC 12B Problem 1 Solution 4
3. 2003 AMC 10A Problem 17 Solution 2
4. 2015 AMC 12B Problem 8 Solution 3
5. 2003 AMC 12B Problem 17 Solution 4
6. 2020 AMC 10A Problem 18 Solution 6
7. 2021 AMC 10B Problem 13 Solution 4
8. 2007 AMC 10B Problem 23 Solution 4
9. 2005 AMC 10B Problem 24 Solution 3 ⭐
10. 2008 AMC 12B Problem 24 Solution 4 ⭐
11. 2023 AMC 10B Problem 24 Solution 2 ⭐

Significant Problems

Here are some problems that, to me, have been significant on my math journey. This section is mainly for myself, but please please feel free to look at the problems if you're interested. Any referenced "difficulties" are from this page.

1. 2017 AMC 10A Problem 19 - First AMC 10 Solution of Difficulty 2 or Higher
2. 2007 AMC 8 Problem 25 - First AMC 8 Final Five Solution
3. 1984 AIME Problem 1 - First AIME Solution
4. 2005 AMC 12B Problem 16 - First AMC 12 Solution of Difficulty 2.5 or Higher
5. 2016 AMC 10A Problem 21 - First AMC 10 Final Five Solution
6. 1987 AIME Problem 11 - First AIME Solution of Difficulty 4 or Higher; First AIME Solution of Difficulty 5 or Higher
7. 2017 AMC 12A Problem 23 - First AMC 12 Final Five Solution
8. 2001 AIME I Problem 14 - First AIME Solution of Difficulty 6 or Higher

Other Major Contributions

1. Titu's Lemma (all examples and problems)

Some Problems I Wrote

All problems and solutions have been moved to this page.

Last Updated: Apr 12, 2024

Note: The expression that's cut off in Problem 15 is as follows.

If you find an issue or have an alternate solution, please feel free to put it below! I'll add it to the document.