Ligon won the chapter title by 1/4 point. Results here.
Team Results: 1st: Ligon A (by 1/4 point) 2nd: Carnage A 3rd: Ligon B 4th: Andrew etc.
Individual Results: 1st Justin Luo (Carnage) 2nd Roy Li (Carnage) 3rd Evan Liang (Ligon) 4th Peter Luo (Ligon) 5th Pranay Orugunta (Carnage) 6th Franklin Chen (Ligon) 7th Rishi Sundaresan (Carnage) 8th Parker (?? not my son ... another guy.)
My answers for the individual round (I'll revise when the key is available ... I got almost everything but am sure there are mistakes.)
1. $4 2. 288 3. 12 4. $320 5. 25/9 6. 48 7. 6 (Thanks Sam) 8. 648 9. Sharon 10. $300 11. 70pi 12. 11 13. 20m 14. 988 15. 1/182 (Thanks Sam) 16. corrected to read 450 not 440 makes the answer 840. 17. 376 18. 15/23 19 72 degrees 20. 90 21. 120 22. 59 23. 66,660 24. 15 25. 2 26. Seems to be an impossible diagram ... but I think 11 is the intended answer. 27. 48 ... remove the word cranberry throughout. 28. -2 29. (3-sqrt5)/2 ... but cos(36) is (1+sqrt5)/4 not (1+sqrt5)/2 as typed. 30. 18 I think ... 36, 44, 63, 451(6 permutations) 381(6) and 242(3) ... used Simon's FFT and some casework.
I spent more than 50 minutes ... but most of it was spent messing up on 28 and 29 (and figuring out the cos(36) error).
Ligon placed 2nd as a team at this year's Mach 8 challenge.
2009/10 COMPETITION SCHEDULE November 17: AMC 8 December 5: MaCh 8 Math Challenge at NCSSM January 9: NEMO at Enloe February 6: Chapter MATHCOUNTS Competition. February 9: AMC 10A/12A February 24: AMC 10B/12B February 17 or 24: Math League (6th graders only) March 19: State MATHCOUNTS Competition. March 25: Wake Tech Regional Competition. April 12-18: Purple Comet April 29: State Finals for Subject Area Competitions. May 6-10: Nationals MATHCOUNTS Competition in Orlando.
Students are expected to follow the following guidelines at all times. Those selected to represent Ligon will be representing their school, their teachers, and their coach and should always demonstrate the following:
Respect: Towards your teammates, your coaches, and teams from other schools.
Sportsmanship: Leave the taunting and the showboating to professional athletes. They don't look good when they do it, and neither do mathletes. People will notice your success and respect you for it if you behave like a champion.
Teamwork: Be a team player. Cooperate and share ideas. Praise the strengths of others. Support the improvement of others.
Practice: Take a half hour every night to do hard math problems. Print an AMC8, 10, or 12 and work through it. Write a problem set. Practice on Alcumus. Post on AoPS when you have questions.
