0 on jmo
by Rong0625, Mar 21, 2025, 12:14 PM
How many people actually get a flat 0/42 on jmo? I took it for the first time this year and I had never done oly math before so I really only had 2 weeks to figure it out since I didn’t think I would qual. I went in not expecting much but I didn’t think I wouldn’t be able to get ANYTHING. So I’m pretty sure I got 0/42 (unless i get pity points for writing incorrect solutions). Is that bad, am I sped, and should I be embarrassed? Or do other people actually also get 0?
L
funny title placeholder
by pikapika007, Mar 21, 2025, 12:10 PM
Let
be a set of integers with the following properties:
contains all positive integers.

.
- If
and
, then
.
- If for some
,
is composite, then all positive divisors of
are in
.

This post has been edited 1 time. Last edited by pikapika007, Today at 12:12 PM
Reason: wrong year
Reason: wrong year
usamOOK geometry
by KevinYang2.71, Mar 21, 2025, 12:00 PM
Let
be the orthocenter of acute triangle
, let
be the foot of the altitude from
to
, and let
be the reflection of
across
. Suppose that the circumcircle of triangle
intersects line
at two distinct points
and
. Prove that
is the midpoint of
.














Distributing cupcakes
by KevinYang2.71, Mar 21, 2025, 12:00 PM
Let
and
be positive integers with
. There are
cupcakes of different flavors arranged around a circle and
people who like cupcakes. Each person assigns a nonnegative real number score to each cupcake, depending on how much they like the cupcake. Suppose that for each person
, it is possible to partition the circle of
cupcakes into
groups of consecutive cupcakes so that the sum of
's scores of the cupcakes in each group is at least
. Prove that it is possible to distribute the
cupcakes to the
people so that each person
receives cupcakes of total score at least
with respect to
.















Scary Binomial Coefficient Sum
by EpicBird08, Mar 21, 2025, 11:59 AM
Determine, with proof, all positive integers
such that
is an integer for every positive integer 



This post has been edited 2 times. Last edited by EpicBird08, Today at 12:06 PM
MOHS for Day 1
by MajesticCheese, Mar 20, 2025, 3:15 PM
What is your opinion for MOHS for day 1?
JMO 1:
JMO 2/AMO 1:
JMO 3:
AMO 2:
AMO 3:
JMO 1:
JMO 2/AMO 1:
JMO 3:
AMO 2:
AMO 3:
L
high tech FE as J1?!
by imagien_bad, Mar 20, 2025, 12:00 PM
Let
be the set of integers, and let
be a function. Prove that there are infinitely many integers
such that the function
defined by
is not bijective.
Note: A function
is bijective if for every integer
, there exists exactly one integer
such that
.





Note: A function




This post has been edited 1 time. Last edited by imagien_bad, Yesterday at 12:09 PM
AMC 10.........
by BAM10, Mar 2, 2025, 8:02 PM
I'm in 8th grade and have never taken the AMC 10. I am currently in alg2. I have scored 20 on AMC 8 this year and 34 on the chapter math counts last year. Can I qualify for AIME. Also what should I practice AMC 10 next year?
On a^4+b^4=c^4+d^4=e^5
by v_Enhance, Apr 29, 2015, 9:13 PM
Let
,
,
,
,
be distinct positive integers such that
. Show that
is a composite number.







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