#competition-math
1 messages · Page 39 of 1
ioqm->rmo(regionals)->inmo(nationals)->training camp->tst(team selection test)->IMO
Is what the order is
if you want to go to the IMO in india
What do you mean by "not affect"
that i can not participate
oh
all my life i hace wished being part of an international team for IMO
Well
Argentina probably has a similiar cycle
but i lost always at regionals or national in this case, this year
yeah, that the problem, like, they select from the national the best ones, prepare them, and send them to the IMO, have you ever been in a IMO?
@patent kernel did you speak spanish?, to talk faster
I can try
I don't know Spanish that well
which is your mattern language?
Hindi
ok, so you are from India or near areas?
oh, that could be really helpfull
have ever been in a IMO? or at least in the InMO
yes, I gave the inmo this year
me too, first time or more?
uhh well this is awkward
he's not in this server
could you join the server mentioned in the pins
like, OTIS?
No, I mean this
thanks bro
no first qualifying round for IMO in india
Absolute Banger Channel.
fr
I am curious for your solutions to see your ideas 💡.
54, for the numerator, interchange a,b and c then you get a cyclic expression, add all the 6 and then everything cancels and only 4^a+b+c is left which can be expanede using summation properties
right on
rearrangement and taking the value of the whole series as S
I think if you rearrange it in a a-b-c cycle and add maybe
yeah 6 cycles
What books should i use for ref to progress in math cuz i want to do math olympiads in 11th
pls ans
If you need to work on something specific, such as matrix, polynomials or anything else you can ask to send you other books. 👍🏻🙏🏻💪🏻
Another one
Do cengage completely
Illustration,practise exercise and numerical types for building basics
U can use coaching material for olympiads rather than books
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
@scarlet root This problem is proposed by me for you to solve. I know how to solve it, I usually post problems to be challenges, when I don't know how to solve a problem I also post what I tried and my ideas 💡.
cengage for olympiads? it's for jee
- I don't know whaere to begin.
cengage is too damn easy bro.. i have solved all of the books
its better to solve russian books u know
cengage has questions which are theoretically wrong
this has been verified by many of my teachers who are like phd holders from princeton , cambridge and all other premier institutes out there..
Okay but ur saying smthg thats unrelated to the question. He didnt ask if u were good at it he asked "Do cengage completely Illustration ,practise exercise and numerical types for building basics. Stop Glazing urself buddy
He is in 10th class first he will build basics or directly jump on tough question
If ur saying he should directly jump on russian books or some advanced books that ur wrong
Bcz u can qualify the first 2 qualifier rounds easily by just solving coaching material or cengage
For some topics u need to use some more material but the syllabus is of 9th and 10th class
phy and chem too?
rmo is tough toh
*tho
frfr
how do i prove sum from k = 0 up to n of (nCk)^2 = 2nCn using combinatorics
i thought it would be good to split up say, 2n lots of people into 2 groups of n then choose k people from them and then use the multiplicative principle to say ive got nCk choices for the first group and nCk choices for the second group so multiply them together but i’m not sure if this is correct
notice that nCk = nC(n-k)
so you can do something a bit different with the second group
ah yes i noted this down when trying the question, but am i thinking along the right lines
i hate combinatorics so much 
ban this guy mods

Yes
the idea of picking some things from 2n things and dividing the 2n things in 2 groups of n is the right approach
If you’re going for a solution with a combinatorial argument, there is an easier way
Try to find 2 ways to make a group of any size (including size 0) from n people

yo is there any books for explanation of these concepts cuz the book u sent ealier was just the slved problems. FYI I've only done Grade 10 syllabus so far. I intend to do olympiads nxt yr so im not exactly familliar with certain topics
This book is good for polynomials, it has also theory and problems, but it's not free on internet, you have to buy it.
Also this one includes both algebra and analysis, but I can't find a PDF free on internet. You can tell me what topics the 11th grade Maths Olympiad are supposed in your country, because it could differ from mine.
chat how do i do this
Where did you get this problem?
Is this even solvable? csc(x) isn't defined at 0
Dude is this solvable?
i failed
Bro use #chill
And u actually didn't fail, u found a way how not to pass an exam!
what is no access
i was talking about that integral above
lmao
i differentiated it and it leads to no solution for a
it gives, csc^2 asec^2 a= 0
can someone tell me the topics i need to go over to absouletly crush this comp ? (so a bit of extra depth)
please and thank you 🙏🙏
Okie, mb
number theory, geometry, some pre calculus i see there and may be a little bit of functional equations
Lw
Id js do mor questions tbh
U got this 👍
questions of what bro 😭
im 10th grade so i havent even took geo yet
what level is it?
olympiad?
It is.
The value is e - 1
(ACCORDING TO GOOGLE. I don't know integration so i couldnt do it myself. But i was curious and searched it up.)
Didn't understand a thing.
👍
My calculator doesn't agree so
Should I try and write it out?
eh, I could just use wolfram alpha
Congrats.
Thanks
Tbf I also don’t understand half the stuff
I’m in 8th so that’s expected
8th grade is a fairly universal concept is it not
Uh I’m in class 8
Nah live in the UK
The have it like
Yr11
Yr12
Yr13
Then uni
Year 8??
Yes
Not calc man
The most complex thing that I did is
Permutation and combination
Tho I ain’t rlly a master at it
Bruh what
I gotta refine ts
13-14
Nah vro
There are like
3-4 kids like me at my school
Bro your doing really good for ur age
Not to mention a senior who solves JEE problems
Thanks man
Takes practice dw
I'm sure you'll get there too
Can someone recc me some books for RMO preparation
Smth that covers stuff from the basics
Cuz I ain’t like IMO clearing lvl good at maths
I’m jst in a zone with a low cutoff
just write to your teacher there is no need to ask chat gpt for exercices because they are often wrong
Do y'all not have the past papers available?
Wild dawg
Congrats buddy! Looking forward to see you in RMO and INMO
Did any1 had the chance to compete in the IMC
Congratulations.
first version
as someone who absolutely hates combinatorics, calculus easier
As some body grinding both combinatorics and calculus atm. When a problem is hard then it's hard regardless of the type
all my homies hate counting
But I still hate combinatoric
I’m jst a newbie at it so idk
Can someone tell me some books/prep material for RMo
I’m clueless rn
I’m using my IOQM prep book rn but idk
there is book called
Challenge and thrill of pre college mathematics
Hmm
Ki
Kk *
Lemme look it up
its used extensively for RMO
Hmm it seems good
However I don’t think that I can get the physical copy
why?
I’ll consult this with my maths teacher and then ig I’ll download and print it
india right?
Cuz like
It says that the book will be delivered by 13 November
And RMO is on 16
oh shit
well i mean
digital version is just as fine
and print it out at best
Time to sail the high seas ig
i never buy physical
too much time consuming
Btw
Does it explain stuff from the basics
yeah it got everything needed of number theory and geometry covered
Cuz I’m from a low scoring region
And I ain’t actually IOQM level
yeah
its good
Hmm Kk thanks
if u can do it good
u def getting it up there
in RMO
its not even that big as well
so its doable
has good stuff
im not sure if the last one is covered or not
Hi guys, I'm new here.
I have an upcoming math competition in december this year, the questions seems similar to AMC 10.
I'm fairly new to math competitions, how can I prepare and master the fundamentals? Any resources? please ping
seems familiar to AMC10?
So it's not AMC10?
No, it's a local one, but i mean in question style
which book exactly?
Hm I dunno, never take AMC10 myself but I know some people prepare AMC10 here using AoPS
Ah okayy
Reallll
Hi
heyyy who here is doing usemo rn
If they are, they'll hopefully have read the point in the rules where it says collaboration is not permitted, which presumably includes any sort of online discussion of the contest.
vol 2
whats the best way to study for the amc 12 in like 10 days
challenges and thrill of pre college mathematics but id recommend doing mathematical circles(russian experience) first because ctpcm is quite difficult to learn from because its overly formalised
it depends a lot on your prerequisites - but if I were you, I'd do a couple of old problems, identify my weaknesses and then study those weak areas by reading articles / chapters of a book and doing as many exercises as possible in this short timeframe.
wouldnt vol 1 be better for beginning comp math
Please, does anyone here have any recommendations or books I could use to prepare for math competitions as a beginner
what competition, Pucci?
Oh , you know JoJo , Fiona the human , that's great . AMC , IMO , any one really, I find them interesting, but ik a beginner at any of those questions and I haven't seen any proper resources to help me yet
American? you might want to grind everything in the aops alcumus first
Is it like a website or a book
a website
Well it has basic, and it has a bit advanced
Oh k , do I have to sign in or pay
Nah
I meant
You have to make an account, but you won't have to pay anything
Guys do you know how to approach math modelling...
All my teammates flaked on me and its fine for rn since its just a mock competition bit idk where to start at all
Yeah because im a beginner dude 😔 this is my first time doing this sort of stuff and im not all that good at math and reasoning to begin with...i did figure some stuff out though
kaust ?
British MO?
i mean if you post problems here, ppl will be able to help
the UK section of MODS is more active tho, link is in the channel info
Yup, are you participating?
how to solve? a³+b³=c³+2025 methodically? i know the answers are 28, 81, 82 but i dont seem to know how to solve it.
Is there more information
Uh fermants last theorm
But not exactly you can consider 2025 as a cube root of cube of itself
So its
a^3+b^3=c^3+d^3
Where d^3=2025
Idk modular arethamtic might work
There's no such d, though (at least if everything is supposed to be integers).
hmmm let d=-c => a^3+b^3+d^3=2025
2025 = 0 mod 9
for any integer t , t^3 =0 or 1 or -1 mod 9
So a,b,d = 0 mod 9 or a=-1 mod 9, b=1 mod 9, d=0 mod 9
This's the most I can do atm
i assume theyre all unrelated
i dont think theres a cleean way to solve this lmao
we could try factoring, maybe? and find someth out with divisibility?
[
a^3 + b^3 - c^3 + 3abc = (a + b - c)(a^2 + b^2 + c^2 - ab + ac + bc)
]
pxdoru | 9¾
equate to 2025 + 3abc
could factor that as 3*(625+abc)
idk if that does anything tho
hmm
itd probably simplify things? no
[
(a + b - c)(a^2 + b^2 + c^2 - ab + ac + bc) = 3(675+abc)
]
pxdoru | 9¾
You guys try it, I have to finish some powerpoint things atm🥀
too much work and substitution
i havent been keeping track of how low theyve been getting but
last i remember they were hovering around the 90s
for b yes
for a it was 76.5
true
100 is as safe as you can be
but tbf if last year was 76 then like
you could prob get away with like a 90
the boundary cant be above 100 by definition so yea
in the last 4 years the highest its been is 93
and its getting lower every year
yea well motivation was never my issue
natural numbers and nope.
Wait thats true
yeah
ah idk im still kinda puzzled since it was a question to be solved in 15 minutes
,w expand (3x+1)^3
,w expand (3x+2)^3
1 mod 9
8 or -1 mod 9
Hey yall
How do I practice for this upcoming competition? This is the only sample questions given. I have no idea how to solve most.
any advice really helpful
thats also an identity??
yeeaah
guys with all the plug and play and memorization with no intuitive understanding does it ever finally click 😞🥺
hi malak
do practice tests with a timer, and look at the solutions after to see what methods are used and what formulas/concepts are useful
no intuitive understanding is cooked
yeah, just manipulated a little
Oh yeah I see it.
Just manipulated the identity a³+b³+c³-3abc?
Given a circle and points A, B, and C on it, which do not form an isosceles triangle. For every point P not in the set {A, B, C} on the circle, let A_P, B_P, and C_P denote the intersection points of the tangent at P with the tangents at A, B, and C, respectively.Prove that there are exactly three points P not in the set {A, B, C} on the circle such that the points A_P, B_P, C_P exist, and the perpendiculars erected from A_P to the line segment BC, from B_P to the line segment CA, and from C_P to the line segment AB are concurrent (meet at a single point).Furthermore, show that these three points P form an equilateral triangle
Hi guys
Idw
To waste time on this so someone pls help
Hello!
I need a little help with this problem.
I would like a solution without barycentric coordinates or complex numbers.
Kk
mhm
Sup hunk didnt know you were here too
Tyy
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
This is most of public school academia students I’d guess until maybe further in a stem degree and even then
I solved it with barycentric coordinates and I am looking for a synthetic solution, but I am out of ideas in this way.
Have you tried Thales? Considering that MNP is similar to ABC.
Because MN,MP and NP are parallel to the coresponding sides, considering the fact that they're midpoints.
Some undergrads even
Like oly math is deeper than much of undergrad math (see Evan Chen image on this)
I’m too lazy to do it rn but u could try something with Homothety about the centroid of ABC
Bc a scale of -1/2 from the centroid of ABC constructs MNP, and then u might be able to use Euler line for some additional info
i guess it sort of depends on the exams you're taking cause like where i'm at the exams force you to have a good intuition of the mathematical concepts behind questions (which i'm incredibly grateful for).
let p be a point inside square abcd such that apd = 65 and dpc=70 what is the degree measure of pda
seems easy but its hard idk
set $\angle PDA=x$ and see what you can conclude from $\triangle APD$ and $\triangle CPD$
elrichardo1337
wait nvm that doesn't lead anywhere
hi, any last minute tips for the COMC
Because APC=135, D is a circumcenter of APC, so DA=DP=DC. The rest is easy.
@odd imp (excuse me for my English, is not my first language, if you don't fully understand or have any questions feel free to ask me) The maximum possible digit sum of a five-digit number is (9 + 9 + 9 + 9 + 9 = 45), which happens with the number 99999.
Since we want the digit sum to be 39, we need to subtract 6 units from that maximum.
So the question becomes: In how many ways can we subtract a total of 6 units from the digits of 99999, while keeping each digit between 0 and 9?
Now you can break it down in cases:
Case 1: Subtract all 6 units from 1 digit, since we have 5 digits there are 5 combinations.
Case 2: Subtract the 6 units from 2 digits, split the 6 into the sum of 2 integers (1+5, 2+4 or 3+3) and count in how many ways you assign these values to the digits. If you do it correctly you will get 50 combinations for this case.
Case 3,4, and 5: Subtract the 6 units from 3,4 and 5 digits respectively, this is similar to the case 2 but I won't write the combinations. If you do it all correctly the answer should be 210. You should search about combinations and integer partitions, it may be helpful
zcrxs_
This is what I ended up writing!! I don’t think it’s bad, pretty solid in general and as a first attempt according to my teacher

personally stars and bars is probably an efficient way of doing this but
a+b+c+d+e=39 where a is an integer from 1 to 9 while b,c,d,e are integers from 0 to 9
based on the bounds, we have
(8-a)+(9-b)+(9-c)+(9-d)+(9-e)=38
we get
a+b+c+d+e=6
by stars and bars, since we already set the bounds in the first step we can just do (6+5-1) C (5-1)=10C4
=210
Another way to add to @rustic path solution is since 9+9+9+9+9=45 using stars and bars is just basically let your digits be (9-a)+(9-b)+(9-c)+(9-d)+(9-e)=45 then it still becomes a+b+c+d+e=6 so thats still 10C4=210
i suggest learning stars and bars involvign inequalities
oh i really like your method, i did something similar i just thought about it differently. I will definetly look at partitions
i had never seen any method taking about stars and bars, i will take a look at it
Found this interesting problem:
Find all natural solutions for $(a, b, c, d)$ such that $2^a + 3^b = 5^c \cdot d$ and $2^b + 3^a = 5^d \cdot c$
azart
Furthest progress I was able to make is finding that a = 1 (mod 4) and b = 1 (mod 4). Consider = as a congruence sign in this case
obviously (1,1,1,1) is a solution but I highly suspect that it is the only one. I'm unable to prove it tho
Could someone recommend me an introduction to combinatorics, especially to permutations and basic counting? I would really appreciate it
I hate number theory
how study for amc10
Which country
What do you mean?
U can follow richard p.stanleys book
Thanks
Or Daniel A. Marcus
Its teaches by problem solving
enum combinatorics???
thats pretty advanced
aops c&p is good
or brualdi for a more classic reference
Yo
Easy but wants time ! sorry
use this identity https://en.wikipedia.org/wiki/Sophie_Germain's_identity
every time you see x^4+4y^4 🙂
I see it now, much appreciated for the help!
Help guys
Ive read AOPS part on ellipse but I wanted to read more high level content... like line with ellipse and other juicy stuff... but other books dont teach stuff on problem solving they;re just slapping me with proofs... I get it that proofs are super important but I also wanna know the stuff intuitively...
Any help, even a lil bit is helpful
are there books for students trying to learn for engineering college and involves all of algebra, precalc, counting and calc necesarry in advanced levels? like super advanced and gives intuitive understanding like aops does?
🔥 🔥 🔥 🔥 🔥 🔥 🔥 🔥
any book recommendations on functional equations?
is anyone here planning to take putnam this December, HMU.
There is Amir hossein's book
You can as well check my youtube functional equations playlist on little fermat channel
okay thanks man
theres a really quick way to solve this, takes not more than 5 minutes
oh gosh this was 2 days ago
lmao
Consider a finite set of prime numbers $P = {p_1, p_2, p_3, \cdots, p_n}$. Show that, if there exist two integers $a, b$, which are coprime to all elements in $P$, such that, the given condition: $p\ |\ (a^p+b)$ is satisfied for each element in $P$, then $p_1 p_2 p_3 \cdots p_n\ |\ (a + b)$.
first time creating and submitting an olympiad problem myself. What do you think of it? is this good for Republican level olympiad?
Can't you just set both a and b to the product of all the given primes?
didn't think of it. Let me add a little condition
azart
This may be borderline non-sense of a problem description
The logical structure of the specified goal is a bit off:
if (there exist a and b such that bla bla) then (conclusion that involves a and b)
As written this doesn't make sense: the a and b in the conclusion are not inside the scope of the "there exist" quantifier.
You probably meant to write something like
Asuume p1, p2, p3, .... pn are a finite set of primes, and that a and b are integers satisfying (... coprime and p | a^p+b ...). Prove that p1p2p3...pn | a+b.
Consider a finite set of prime numbers $P = {p_1, p_2, p_3, \cdots, p_n}$ and integers a and b, such that:
- a and b are coprime to all elements in $P$. \
- For all elements in $P$, $p\ |\ (a^p+b)$.
Prove that, $p_1 p_2 p_3 \cdots p_n\ |\ (a + b)$.
I think this clears up the ambiguity
azart
Thanks, then it's clear what you mean.
I can't say whether or not the problem would be appropriate for any particular contest (and I don't even know what a "Republican level" olympiad is). However, it seems like it ought to be fairly straightforward for an audience that is prepared to tackle questions about primes and divisibility:
The goal p1p2p3...pn | a+b immediately suggests using the Chinese remainder theorem to split it into proving p | a+b for each p in P. From that point the plurality of primes disappears from the picture and we just have to prove that if p | a^p + b then p | a + b. But that's essentially Fermat's little theorem, so if we know that, we're done.
On the other hand, a contestant who doesn't already know Fermat's little theorem would probably be stumped. So the problem tests more for "do you know these two important theorems" than for ability to be clever after seeing the problem.
(By the way, the proof goes through unchanged without the assumption that a and b are coprime to each of the designated primes. When I suggested just multiplying them all together, I had misread the "if" in your first formulation, so I thought the task was to find such an a and b).
Alright. Thanks for the feedback, appreciate it a lot
Topics in Functional Equations by Titu Andreescu. Honestly all his books I would say are phenomenal but do require some serious work.
okay i think i solved this one
given a^p + b = 0 mod p, we have a + b = 0 mod p or p | a+b
if each prime divides a + b, then the product must as well by the specific case of chinese remainder thm for primes
i didn't even use one i think haha
anyway who knows how to solve this
You seem to be implicitly appealing to a^p == a (mod p), which is exactly Fermat's little theorem.
yes this is a well known result as you said
this nt is not hard problem
I might have misunderstood what it was you said you weren't using.
Okay, then we're in agreement.
There are only 8 divisors of 30. It seems feasible to go through them in descending order and for each of them compute how many more numbers can be expected before you hit 30.
In fact, the precise divisor you've landed at is not important -- only how many of the three prime factors of 30 are in it. Viewed in that way, the process really only have four states to compute an expectation at, rather than eight.
- When we have all 3 prime factors, we're at 30 already and expect 0 more numbers.
- When we have 2 prime factor, the only place we can move the next time is to 30, so we expect 1 more number.
- When we have 1 prime factor, there are three next numbers to pick between -- one of them has a next expectation of 0, two of them have a next expectation of 1, totalling up to 1 + (1/3)·0 + (2/3)·1 = 5/3.
- ...
i think the key idea here is using states based on the number of prime factors of the number you are currently on, as the # of prime factors of each number in the list is non-decreasing. Let a_n = expected number of additional numbers needed to reach 30, given you are at a number with n prime factors for 0≤n≤3 and then solve the system of equations
a_3 = 0
a_2 = 1/2(a_2) + 1
a_1 = 1/4*a_1 + 1/2*a_2 + 1
a_0 = 1/8*a_0 + 3/8*a_1 + 3/8*a_2 + 1
with k prime factors in ur current number, there are 2^(3-k) possibilites for the next elmeent in the list since 30 = 2*3*5
yeah i solved it same way diff notration
alr i will now try this problem
this the aops mock amc 12?
101.5 is not a possible score on the amc 12
wait i literally got it though
i can check
yeah ur right
it wouldn't be possible
and i got 103.5
the breakdown was 15 C 1 IC
how tf does one recognize something like that
yeah same
its cuz ur score must be divisible by 1.5
true dat
since your score is determined by a linear comibnation of 6 and 4.5
so gcd(6,4.5) | score
by euclidean
anwyays
i think i did like 1-22 on this
and sillied like
i forgot
i sillied 2 of them
i sillied p17 cuz i added wrong
and i sillied one of hte early ones (the sqrt(2k) one) cuz i missed a case
best mock score in general?
yes
ikr
cuz user made mocks differ vastly in dificulty
this one was really difficult
cuz p15-20 were rlly easy in comparison
so damn you are really smart man
how long have you been mathematicing
uh i took the amc 10 in 8th grade for fun and got like an 84 or smthg
cuz i didn't really study much in middle school due to covid
and then i studied over the summer
after getting like a 16 on amc 8 💀
but i failed like 9th grade amcs
icl this is my first year like
96/87 or smthg like that
i feel so behind how will I ever get to usamo yk
and then uh
feeling behind is so real 😭
i felt like a bum after not qualling 9th grade
lmao
wann vc
vc?
yes
for wut
I gotta admit, I overrated the difficulty of the problem while creating it
Ya do you know about any olympiaf calculas course
What are the imporant formulas that I need to remember for mathcounts
calculus is not a standard math contest topic
if you’re having to ask that question then to be blunt you’re not gonna do well
The calculus course through the art of problem solving is good. I have seen some community colleges have honors calculus courses that use spivak that would give you a similar experience. You won't see Olympiad style calculus classes as it's not in highschool contests. It's probably better to move into real analysis at this point like Pugh or rudin if you want hard problems.
you’re better off studying from a textbook
*self-studying
the AoPS course is very superficial imo
is anyone able to help me here😭
How?
Oh lemme check
aight
I've never seen this but ig this is like Olympics math?@oblique hamlet
Ohhh
Oh my God
I hope you will find someone but it's sure not me sob
hasn't it got much easier?
like 2023/2024 were quite easier in difficulty in comparison
wdym
like if you take the difficulty of the 2022 amc 10
it was much harder than the 2023 amc 1`0
2024 amc 10 was slightly harder than 2023 amc 10
but it was still quite easy
especially 2024 amc 10b
Doing the AMC 10
I need to lock tf in
How and what do I practice
Rq
And cram in some time
I have 3 days
I’m hella scared
K
any doctors engineers or technicians in the server
- why are you asking this in a pre university channel
- why are you even asking this in the math server at all
i am all the above
guys any ghp tips??
i need help🥲
the question seems wrong
Oh wait
There is only one way I could think of
recall from precalculus that this function has a bounded range
you can set $\frac{-13n + 9}{n^2 + 13} = k$, rearrange and set the discriminant to $0$
south
Yeah I was gonna say...
(-13x+9)/(x^2+13) >=1 or (-13x+9)/(x^2+13) =<-1
the only valid values are 2 to 12 and then we try all lmao
with this way, you only need to try k = -1, 0, 1, 2 lol
it should be immediately clear which quadratics are factorisable and which aren't
once you rearrange
fair, I'm just bad at integer number question ig
oooo okay thank you
no worries!
alcumus is currently helping me a lot
to prep for amc12
its on aops website
casework
if the 6 is first, then he couldnt have rolled a 1
if the 6 is 2nd then 1/5 chance
if the 6 is 3rd then 2/5 chance
if 6th is 4th then 3/5 chance
thats to roll a 1
to not roll a 1
do 1- whatever that adding allat gets you
I understand question 9 but I wanna know how people go about the question when they first see it
because it took me a second
@sleek ivy wait why? Why is it those fractions?
look
we're asking
roll a dice 4 times
what are the odds that you get a 6 before you get a 1
assume you get a 6
there are 4 cases
roll 1 is a 6, roll 2 is a 6, roll 3 is a 6, roll 4 is a 6
now itll be easier to find the probability that you will get a 1, rather than that you wont
so if you get 6 first you defo wont get a 1 before a 6
if you get a 6 2nd, you need to get first a 1 then a 6, so the probability will be 1/6*1/6
then a 6 3rd, you can either get a 1 first or a 1 2nd, so 2 cases here
then 3 cases for the 3rd
you consider them
add the probabilities at the end
then do 1-that
Wait what about the /5 fractions first
Hmm, I can expand to 2^127 + 2^126·3 + 2^125·3^2 + 2^124·3^2 + ... + 2·3^126 + 3^127
so A is out, and E is also out because the binomial coefficients in the expansion of (2+3)^127 are missing.
Then I'd be at least temporarily stuck ...
Ooh, perhaps rewrite further to 2^127(1+(3/2)+(3/2)^2+...+(3/2)^127) and dig up/derive the formula for a finite geometric series for the right-hand factor.
Which leads to answer ||(C)||.
Difference of squares
I thought about that but I think I made a mistake setting it up
probably easiest way yeah
Oooh.
can someone please help, i have no idea how to solve this, spent the past 15 mins on it
it’s just so confusing
It smells a lot like a power-of-a-point problem.
yeah i’ve used it but idk how to get the answer from that
Hmm, power of a point tells us that PC = 9, so in principle that's enough to draw the diagram and find the circle that goes through the four points. But to do that with coordinate bashing would still be painful.
AD is diameter but I have no idea how to prove it
discus 💔
AD = 2sqrt(73) by LOC and AC = sqrt(243) by LOC
since AC^2 + CD^2 = AD^2, angle ACD is 90 degrees, so AD is a diameter
r^2 = 73
what if i have a terrible memory and can’t remember the law of consines even after doing a ton of similar problems
what do i do then
can't remember the formula for LOC?
or when to use it
when to use it
like i know the formula but i have no clue what could motivate me to use it in this specific problem
the 60 degree angle
and the fact that ur given many legnths, so you can find more lengths
yeah that makes sense, i couldn’t figure out how to use the 60 degree angle at all
And law of cosines is particularly nice for 60° because the cosine is rational.
does anyone have tips/where i can learn for how to learn how to apply the AM-GM inequality (I know I can look at practice questions)
I can sometimes see when it could technically be applied but I often don't know how to set it up
when it's not straightforward
you can also see that APC is 30 60 90
there are tons of compilations of inequality problems you can practice on
🤫
ehh
both ways work but i think the one i stated is maybe a bit easier to see
but realistically it depends on the person
So like I got6 problems right on that mock 😭 😭
Last minute amc advice?
I also got AMC tomorrow
Good luck bro
@novel karma Sorry but I don't accept DM's from people I don't know
You good sorry bro
No problem
Planning on getting to AIME this year!?!?!?!?
Go study, get 8 hours sleep, don't study before the test and burn yourself out
Big rest
Rest a lot
Got it tmr 💪 ty and good luck
On all the practice tests I've done I score like anywhere from 6-18 points higher with good rest vs very tired
Rest is big, makes a big difference
Yeah fs
Btw are you taking the 10 or 12?
10
Good luck, guys
Ok the 10 is much harder to advance if you take it so good luck
🫶
I'm predicting that the cutoff for 10 will be something like 100-105 and 12 will be 75-85
That's the usual range I believe
I have morning swim practice tmr. Should I go
Ok
Getting like 8 hours of sleep and waking up atleast 3-4 hours before the test is a good idea
I got some practice 10 problems on the harder side if you want them btw
can post here
Have you guys checked Aops mock test yet, this is the 10 one
haven't done it yet no
Good luck on amc 10/12 guys!
You got the answer key?
Sure thanks
Here's a hard one
Yo does anyone remember the parking function counting technique btw?
Yeah I did I got a 99 bruh
Forgot to multiple volume of sphere by 4/3 😢
I silly so much
1344
Guys how yall feeling bout the amc tomorrow?
yes good
mixed
If i got somewhat around 50 last yr at amc 10
Would it be impossible for me to get like 90 in amc 12 this yr
So scared, 2 years ago I got 60, last year 90, this year I wanna aime qual
But it’s hard, I’ve been mocking like average 100
Which is pretty bad
Yes bro
Someone got 60 one year
And the next year they got 120+
Wait if ur taking amc 12 then that’s enough
Impossible? Or possible
Taking the 10…
I meant yes to getting aime lol
Oh damn
If your getting 100s it might be enough
What grade u in btw?
But like getting 50 on amc 10 and the year after u get 90 on amc 12..
I’m in 10th
Oh same
Cool, have u qualified for aime before?
Nah but I think I’ll be able to this year
Nice, gl bro
Real lol
You should’ve qualified for the aime last year tho…
The aime floor for amc 12 is usually 80s
50 isnt good enough for aime
What bout the 90?
Do u think thats like realistic
Yea it’s def possible bro
Possible but unlikely?
Bro it definitely possible if you tried and studied
You just gotta work out what you want beforehand
If you want a 90 then try to answer like 17 questions hoping you get 15 correct
Wait not even 15
13
This one’s neat
Then you have the 12 points from the unanswered questions which can give you a 90
Lowk just go for accuracy instead of attempts
15/15 is 105
Who’s ready for the AMC 10/12 tmrw?
Is a 117 a good score for jmo qual
It mostly depends on AIME now
not really but with the aime update this year its fine
wut grade
9
yeah with like a 115 amc 10 u need at least an 11 on aime
I’m cooked 💀😭
I feel like a bum as a 10th grader trying to aime qual when there are 9th and 8th graders easily qualifying and going for a/jmo
this is so real
if im being real the difficulty to aime qual is underemphasized cuz people online make it seem really easy
js keep doing what ur doing 🙏
Yes bro, thanks
Yea but you hafta assume that you can get that 15
Damnnnnn
You taking the AMC tomorrow?
this is the best thing that's ever happened to me
cuz im only gonna get like 130 on amc so before i was gonna have to get 12 on aime or something
but now i can get 11 yippee
ts sounds like the gaokao bro 😭
how do i go from 115amc to 130 😭
Oh aight
Fr lol
whenever someone asks me a question about how to improve i just say read egmo 😭
but do not do that
umm
for amc 10 just grind problems 20-25 or smth
amc is too fast paced for me
bruh same
i feel like prepping aime is better
because if u study for aime itll still make you better at amc 10 but the other way around not so much
ohh
then maybe you should just do timed mocks to improve ur speed
usually i score low cuz my accuracy rate is bad
doing mocks
yoyoyo
wait
thats like
not a good idea at all
😛
im not doing any math today
the day before
like realistically trying to cram the night before is not gonna help you as much as you think
its not like a school test where you can cram all the info
because u dont know what the test is gonna be like
its better to just rest and think about how ur gonna go about it
yeah imma just read thru some formula sheets or wtv
some people dont do math like the whole week before
yeah thats probably good
there is gonna be a misplaced problem that i sink too much time into
i have to know to skip
egmo for the amc 10 💔
read mathematical reflections next ❤️
bary bash 🗣️
the inversion chapter was the only one that was semi useful
i dont spend that much time doing oly geo
guys what will be the qualifying score for the amc 10 this year
for aime?
yeah
uhh
depends on the difficulty
if its easy then probably like 105
but i feel like the questiosn are gonna be weird this year
like last year
they were weird last year but also easy
yeah last year was weird
so maybe this year theyll be weird and hard
but 110+ should be qual fs
agree
yeah
nooo 💔
honestly now that im thinking about it the thing to make aime twice as important probably didnt even matter that much
are yall eighth ninth or tenth grade
like normally u probably wouldve need 240ish to qual which is 132+11
and this year i feel like its gonna be around 350
which is still 132+11
😭
🙁
im a freshman lmao
lol
can i get my score from a 99 to above a 105 in a week?
like is it even possible?
i can only hope ...
unless ur mock score is 140+ it can still vary a lot
i make so many stupid mistakes 🙁
yeah fs
last year ik someone who was mocking low 120s and got 138
what did you get last year
he said the amc 10b felt like an amc 8 😭
lol
yeah but not by that much 💀
hey if it qualifies it qualifies
i guess but now im more concerned with jmo
im aiming for 135
actually my goal index is 132 + 11 😭
lessgo
last year a lot of people got 11 cuz the aime was easy
both of them
so this year we'll have to see how it goes
if i do bad on 10a its gonna cook my performance on everything else 😭
im going to hmmt on friday right after amc 10a
wait are you taking both a and b
and when i get back i have 10b
yup
thanks lol
i mean he has a point
It's a cool problem
ME
The amc8 felt way harder when I took it in 8th grade
But I also knew like nothing then
Is the test going to be online or on paper?
Is the test going to be online or on paper?
depends on which one you take lol
I'm taking the 10A at a test center nearby (UTD)
Oh okay. Thanks! Good luck!
gl everyone!
gl guys
Gl everyone!!!!
im taking amc 10 no prep first time
Guys I’m getting a 6 or a 7
LOL
What time
And it’s on paper
I’ve been there the last 3 years for amc
Which contest are u all talking about?
i believe this is about the amc
Oh its prestage of aime; ic
Hello 🙂
I have the opportunity to take two selection exams to maybe get a spot in the national team of my country for the IMO. But I'm not sure if I'm able to solve question like the ones in these exams in just 240 minutes. I'd like to get some idea of things I should know before I take these exams, i still have 2 weeks to prepare.
Solving 10 questions and leaving the rest will give me 82.5
Would this be enough for amc 12?
I heard that the rules changed for this year
Like international students result doesnt affect the average
hi
good luck yall
how was the test if u took it
6-7 thousand qualifiers ✌️✌️✌️
depends on the difficulty of the test
if you get 100 for AMC12, that can be achieved with 14 questions correct and 11 questions unanswered
soo, if you work hard enough you can guarantee yourself an AIME spot
that's like top 10% I know, but you really don't want to waste a year if you have the time and energy to practice
time just keeps on ticking and soon you'll be trying to qualify in senior year
anyone down to study for putnam together?
wait, y'all participate in the amc to qualify for aime?
oh lord, i am so doomed...
I need to get 100 for aime?
So possibly only getting 9 questions right can quality me if the test is hard?
Its never been this way
same 😭
I got a 150
AMC 10/12 A takes place today. Everyone please be aware that competition rules forbid discussing the problems online until 8.00 ET the day after the contest, which (if my timezone conversions are right) will be in 19½ hours from now.
yep
You run a high risk of getting banned from the server, at least.
Do you know me?
I didn't make it sadly, I missed the cutoff on 10B by 4.5 points 🙁
Gl everyone I hope we all do well 🙏
oh i see
i would be sad if yall banned me
ok got it
yep follow amc big corporation rules like a good boy
collegboard ahh
Yea I think so
Ur Indian right?
I think I remembered you complaining about how you didn’t make the amc 10 or something in 8th grade
Was that u?
By any chance is anyone here doing the british algorithmic olympiad 💀
yeah i am
why
anyone here finished amc 10?
Oh really
Wanted to ask how much python do u actually ahve to know
i looked through some past papers and asked a couple of ppl in the year above me, and they said that the questions are practically impossible without knowing coding
Hmmmmmmmmmmmmmmm
Do u think i can learn in a week 💀
Lmao
AMC 10 A is still under embargo; it will be 16 hours before you're allowed to discuss questions online.
not discussing the actual questions