,![\[
1^2 + 2^2 + 3^2 + \ldots + k^2 = \frac{k(k + 1)(2k + 1)}{6}
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Find the smallest positive integer 
is divisible by 200.
,
,
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a^2 + b^2 + c^2 + 4abc < \frac{1}{2}.
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are positive real number such that 
.
, where 
always occurs at 
be a positive integer. Find the smallest value of 
is divisible by 
.
and 
Prove that
?
numebr on his list? Write its last two digits as your answer.
grid of square tiles. Robert chooses four of these squares uniformly at random. The probability that the centers of these four squares form a square themselves is 
where 
are coprime naturals. Write the largest 
digit odd factor of 
.
.
which touches one face of the cube and passes through all 
vertices of the face opposite to it. Find the integer closest to 
are distinct numbers in AP such that 
are also in AP. Find the smallest possible value of 
(in degrees).
that satisfy 
Y by
Hello! I've just been accepted into Camp Conway, but I'm not sure how popular this camp actually is, given that it's new. Has anyone else applied/has been accepted/is going? (I'm trying to figure out to what degree this acceptance was just lack of qualified applicants, so I can better predict my chances of getting into my preferred math camp.)
