through 
.
.
,
,
with probability 
and to pad 
with probability 
.
,
,
be squares that have vertices at lattice points (i.e., points whose coordinates are both integers) in the coordinate plane, together with their interiors. The bottom edge of each square is on the x-axis. The left edge of 
-
as many lattice points as does 
,
of the lattice points contained in 
is 27 times the fraction of lattice points in 
.
Product of all even divisors of 
If 
dice are rolled, Then number of ways of getting sum at least 
is
foot radius. Bruno completes 
laps every hour, while Brutus completes 
laps every hour. If they start at the same point but run in opposite directions, how far along the track’s circumference (in feet) from the starting point are they when they meet for the sixth time? Note: Do not count the moment they start running as a meeting point.
,
,
,
such that ![\[\left(a_1+\frac1{a_1}\right)\left(a_2+\frac1{a_2}\right)\cdots\left(a_n+\frac1{a_n}\right)=2020.\]](http://latex.artofproblemsolving.com/3/6/2/362fccfa6353ffcbc4d29f24ccbfce73269080bf.png)
Compute 
.
be an isosceles triangle such that 
.
be a dot on the 
side.
at point 
at 
.
A
have angles 
and 
such that 
and 
. Moreover, suppose that the product of the side lengths of the triangle is equal to its area. Let 
denote the circumcircle of 
intersect 
at 
intersect 
at 
,
intersect 
at 
.
can be written as 
for relatively prime integers 
and 
and squarefree 
,
is 
)
divisors.
.
such that 
is a positive integral power of a prime positive integer."
Y by cubres, beishexi, Cinnamon.-.Roll
INTEGIRLS Bay Area Spring Competition!
Hi everyone! INTEGIRLS Bay Area is excited to invite you to participate in our eighth biannual, free, virtual math competition. The event is open to all girls or non-binary individuals comfortable with being grouped with girls in middle or high school and will take place on Sunday, April 20th from 9 AM - 1:00 PM (PST).
If you're excited to dive into a day of math, make new friends, and win fun prizes, then we encourage you to sign up here!
**Note that the Bay Area chapter of INTEGIRLS writes their own problems, so you can participate in another INTEGIRLS chapter's Spring Competition as well
Competition Information
WHO All middle school and high school students who identify as female or non-binary are invited to join our competition! You can sign up with teams of up to 4 people, or choose to be paired with other students at random.
WHAT Our competition will feature individual, team and tiebreaker rounds with problems written by our amazingly talented team, fun games and a social room to meet new people! There will be separate rounds for middle and high school students as well as exciting prizes for our participants.
WHEN The competition will take place on Sunday, April 20th from 9 AM to 1:00 PM (PST).
WHERE We will host the competition over Zoom, so students from all over the world may attend!
WHY Explore exciting math problems, make friends, and most of all, have fun! Through our competition, we hope to inspire a passion for math in more students, and by bringing together girls who love math together, we aim to create a community of future female mathematicians. Math is an amazing subject full of hidden puzzles and strategies, and together, we seek to create an event full of joy where girls bond over the beauty of the subject.
HOW Register for the competition now here!
CONTACT Feel free to email us at bayarea@integirls.org with any questions! Join our community on Discord, and follow us on Instagram at @integirls.bayarea
