[/quote]
,
be a triangle inscribed in a circle 
with orthocenter 
and altitude 
.
be the midpoint of 
.
meets 
.
meets 
.
be the orthogonal projection of 
on the line 
.
meets 
.
.
consecutive even numbers, such that the sum of their squares divides the square of their product.
satisfying 
,
on 
and 
respectively in 
such that 
then draw line 
through 
such that 
let 
and 
reflection of 
and 
and 
be a set of 
distinct integers all of whose prime factors are at most 
Prove that 
distinct integers such that their product is a perfect cube.
such that
for all 
.
and 
are natural numbers such that
is a prime number. Find all possible values of 
.
liters of milk. Then, 
Y by Adventure10 and 1 other user
I am currently in the process of making a Mock Mathcounts Sprint and Target Examination. The difficulty is about National difficulty, if not more difficult. PM if you are interested, and I will PM (and post) when my rounds are completed and for more details. PLEASE be patient, as it may take a while for me to finish. 
But if you are interesting please PM and/or (but at least PM me to officially sign up) if you are interested.
Also note that I may not even finish it.
*Also you may need Word 2007 or higher to view some of the problems
*CHECK MY REVISED SAMPLE PROBLEMS OUT (if you scroll down)
But if you are interesting please PM and/or (but at least PM me to officially sign up) if you are interested.
Also note that I may not even finish it.
*Also you may need Word 2007 or higher to view some of the problems
*CHECK MY REVISED SAMPLE PROBLEMS OUT (if you scroll down)
This post has been edited 2 times. Last edited by luppleAOPS, Mar 1, 2011, 2:52 AM
and 
.
? Would greatly appreciate it.
