Varsity Math Team Stuff

Problem Statement: Let T be a polygon with a point of symmetry S. Triangle ABC lies completely within T. P is a point inside triangle ABC. Let DEF be the reflection of ABC through P. Show that at least one vertex of DEF lies inside T.

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Lectures

Root Equations and Recursion
Triangle Geometry
Circle Geometry
Esoteric Geometry
Trigonometry
Exponents and Logarithms
Vectors
Polynomials
Inequalities
Sequences
Number Theory



Problem Sets

TJMC #1, Solutions to TJMC #1
TJMC #2, Solutions to TJMC #2
TJMC #3, Solutions to TJMC #3
TJMC #4, Solutions to TJMC #4
TJMC #5, Solutions to TJMC #5

Mock AIME, Answers, Solutions to Mock AIME - !
Mock AIME 2, Answers, Solutions to Mock AIME 2 - !
Mock AIME 3, Answers, Solutions to Mock AIME 3 - !
Mock AIME 4, Answers, Solutions to Mock AIME 4 - !

Trigonometry Problems
Triangle Geometry Problems

Classic Problems - Hard!


TJUSAMO Resources

'04-'05 Year Rankings:
1. Peter Diao.** 23/18.2 (0.791) [2]
2. Men Young Lee.***** 21/16.8 (0.8) [2]
3. Jesse Geneson. 14/9.8 (0.7) [2]
4. Haitao Mao.*!S! 5/4.5 (0.9) [1]
5. Anthony Kim. 1/.7 (0.7) [1]
6. Winston Yan. 0/- (-) [1]
6. Sarah Marzen. 0/- (-) [1]
6. Frederick Mako. 0/- (-) [1]

* - Contest Winner Award.
* - Contest Runner-Up Award.
* - Contest Best Solution Award.
* - Contest Best Style Award.
!S! - Yearly Best Style Award.

2004-2005 TJ USAMOs:

TJ USAMO #1
TJ USAMO #2
TJ USAMO #3
TJ USAMO #4
TJ USAMO #5
TJ USAMO #6
TJ USAMO #7
TJ USAMO #8
TJ USAMO #9 (Contest #1) - Solutions to Contest #1 , Results of Contest #1
TJ USAMO #10
TJ USAMO #11
TJ USAMO #12 (Contest #2) - Solutions to Contest #2 , Results of Contest #2
TJ USAMO #13


2003-2004 TJ USAMOs:

TJ USAMO #1 , Solutions to TJUSAMO #1
TJ USAMO #2 , Solutions to TJUSAMO #2
TJ USAMO #3 , Solutions to TJUSAMO #3
TJ USAMO #4 , Solutions to TJUSAMO #4
TJ USAMO #5 , Solutions to TJUSAMO #5
TJ USAMO #6 , Solutions to TJUSAMO #6
TJ USAMO #7 , Solutions to TJUSAMO #7
TJ USAMO #8 , Solutions to TJUSAMO #8 (Contest #1)
TJ USAMO #9 , Solutions to TJUSAMO #9
TJ USAMO #10 , Solutions to TJUSAMO #10
TJ USAMO #11
TJ USAMO #12 (Contest #2) - Results of Contest #2
TJ USAMO #13
TJ USAMO #14
TJ USAMO #15
TJ USAMO #16
TJ USAMO #17
TJ USAMO #18


Miscellaneous Links

Encyclopedic Math Resource: Mathworld
Huge Cache of Good Problems: John Scholes's Site
Online Math Community: Art of Problem Solving
Anders's MOSP Site: Mopper World!