[/quote]
,
games in a row, you score 
points instead of 
points. Nice, right? A tie equals 
point, and a loss is zero. A tie or a loss will break your win streak.
\end{table}
and 
intersect at the point 
.
?
,
.
are chosen from 0 to 1. What is the probability that their positive difference is more than 
?
?
with real coefficients obeying![\[P(x) P(x+1) = P(x^2 + x + 1)\]](http://latex.artofproblemsolving.com/b/e/f/beff3420fa8394f4f98c031d81eea6a5a3b8d28c.png)
for all real numbers 
.
and![\[(x-y)[f(x)+f(y)]\leqslant f(x^2-y^2), \forall x,y \in \mathbb{R}\]](http://latex.artofproblemsolving.com/8/0/b/80bb1d7a992c9683a0c2a07b2febe6271f4e60f5.png)
such that 
,
and 
.
is prime, 
with 
and 
?
be the circumcircle of isosceles triangle 
)
lie on 
respectively such that 
.
and 
to the incircle of 
(different from
such that:
is the Gergon point and the incircle 
touch 
,
at 
,
,
respectively.
,
,
be 
, 
, 
respectively.
and then we get the circle 
and then the circle 
and then the circle 
be non-negative real numbers such that 
Prove that
Y by
Hi everyone!
So I am currently in grade 6, and if anyone could give any tips for getting high scores in math competition, that would be great!
I haven't been doing so well in AMC 8, and other competitions like Math Kangaroo, etc....
I feel like i'm stuck, so if anyone could give any resources that helped you learn and score better, could you share that with me?
Thank you so much!
( also how much time should i spend on math every day? )
So I am currently in grade 6, and if anyone could give any tips for getting high scores in math competition, that would be great!
I haven't been doing so well in AMC 8, and other competitions like Math Kangaroo, etc....
I feel like i'm stuck, so if anyone could give any resources that helped you learn and score better, could you share that with me?
Thank you so much!
( also how much time should i spend on math every day? )
