competition-math

[languid ledge]

is there a database with all previous IMO and possibly international MO questions?

[high goblet]

aops has a large collection of contest problems

or just the IMO website itself

[deft wraith]

I would second AoPS

Compendium will have all of them + shortlist as well

But AoPS will have RMM, APMO, Balkan MO and all (or at least most) of the other international competitions

[lyric gyro]

Aⁿ +bⁿ + cⁿ has no integer solutions for n>2

[jolly solstice]

let n be odd and b=-a and c=0.

[pallid tundra]

wow how original

not only did you misstate fermat’s last theorem

but said theorem was proved decades ago

and a^n+b^n+c^n is not even an equation

[sleek ivy]

Literally

[ruby egret]

I got a 285 on mathcon as a freshman. Can I qualify to mathcon finals

[lyric gyro]

@pallid tundra

@jolly solstice

My bad

It's aⁿ + bⁿ = cⁿ

[pallid tundra]

no need to ping

[lyric gyro]

This has no integer solutions for n > 2

[pallid tundra]

wrong statement, again.

[pallid tundra]

^

no POSITIVE integer solutions

[lyric gyro]

Fermat's last theorem applies when the three terms are nonzero

[pallid tundra]

why do I even bother

[lyric gyro]

Yes

Exactly

[pallid tundra]

you didn’t say that before

stop pinging me

[soft vigil]

Yes

Cutoff was low

https://tenor.com/view/ninja-any-haircut-recommendations-low-taper-fade-you-know-what-else-is-massive-gif-3708438262570242561

[acoustic nova]

wRonG sTateMEnt AgAiN!!!!!
It was never specified that all a, b, c and n were integers

[pallid tundra]

😱

I think it was clear from context that they were trying to state Fermat’s last

but horribly mangled their statement

[radiant jasper]

What problem?

[supple flame]

halp

[acoustic nova]

ah that usamo problem…

[supple flame]

amo questions

my school sent us a 317 page workbook full of math comp questions

[pallid tundra]

first thought is to use euler’s totient theorem somehow

[hearty tendon]

totient seems hard to apply if (a,n) != 1 (unless you can filter out that case easily - intuition tells me it's going to be pretty nontrivial)

so my direction would to go by contradiction: assume there exist two residues r1, r2 such that a!n = r1, r2 infinitely often (a!n is the power tower thing)

alternatively if you have x in the sequence s.t. $x\equiv a^x (mod n, \phi(n), \phi^2(n), \dots)$ and we have that $gcd(a, \phi^k(n)) = 1$ for all $k$ then this also implies constant

[gilded halo]

cow

[nocturne jackal]

Proof by contradiction

[kindred wraith]

actually not that difficult to filter out these cases!

so the generalized version of the euler totient theorem uses the Carmichael function

which is defined as:

$\lambda(x)$ is the smallest positive integer m such that $a^m \equiv 1$ mod n for all integers a coprime to n

[gilded halo]

Cozmogrgdfschkipkhrshtensi

[kindred wraith]

totient(x) can be thought of as the order of the multiplicative group of the integers mod n

carmichael(x) must divide totient(x) since the order of an element must divide the order of the group

once you have that, knowing that totient(x) < x

you get that each successive power you tack on must reduce the order of the group, which must eventually reach 1

oh waaaaaaait just because the order goes to 1 doesn't mean it is the same value, might not be a fixed point, hmmmm

i have a hole in my reasoning, sorry for ping lol

[trail tusk]

if u want for subjective then i would highly recommend excursion in mathematics. however u must have some basic knowledge ont he topics as the book might be hard for beginners. for ioqm thrill of pre college mathematics is good and also pathfinder by pranshant jain

[summer roost]

I didn't know where to begin

[reef condor]

split n into p_1^k_1 etc.

so it suffices to show for prime powers

say p^k

now if gcd (a,p) neq 1

then eventually a^a^... = 0 mod p^k allways, done

if gcd(a,p) = 1 always then totient spam

[supple flame]

thanks

[hybrid sandal]

what should i use to prep for amc 12 and aime

is there like a textbook that would cover all of it

[deft wraith]

art of problem solving vol 2?

[faint kiln]

i finished my SMGF 2025 Grade 12 last 2 weeks

[kindred wraith]

i think aops vol 2 is a decent start but i dont think its complete topic wise and it doesn't give you a lot to practice with

you definitely need as much practice as possible

[deft wraith]

yeah i agree with above

the main thing is problems

[ornate bloom]

Yall I just finished 6th in my regions Math League as a freshman who skipped a grade, making me the youngest competitor

[soft vigil]

What are you talking about

[median moon]

Find some mock tests online or solve problems from previous years on the AoPS website.

[sleek ivy]

Is that good enough prep or should it also be supported with theory and shit

[pallid tundra]

aops 2 is like 30 years out of date at this point

[sleek ravine]

didnt even give me a chance

😂

[kindred wraith]

its still not a bad book

[vapid olive]

lol aops v2 still calls the amc 12 the ahsme

[pallid tundra]

it’s got a lot of content holes and the problem difficulty just doesn’t stack up anymore

[quick frost]

That's nice. Congratulations!

[pallid tundra]

lots of student written texts have popped up in recent years

of uh … varying levels of quality

[ornate blade]

Interesante

[pallid tundra]

AoPS forums are full of them

and of course AoPS also has a huge plethora of problems

both from official contests and from student-written sources

oh some particularly ambitious students have tried writing their own textbooks

on various Olympiad topics

most common thing tends to be short form notes

(I’ve written quite a few of those myself)

[round jackal]

Hi, i’m a sophomore in highschool and i am currently taking Geometry. next year im taking Algebra 2 but i would also like to advance and take pre calculus. is there a way for me to do that outside of school that’s an actual course?

[pallid tundra]

look into online courses, try to find one that your school will recognize for credit

and/or ask your teachers about it

also this is not exactly competition math lmao

[round jackal]

okay thank you

sure

[acoustic nova]

the AoPS inter alg and combo books are definitely still good enough

[soft vigil]

AoPS

proof they are actual courses:

[pearl crater]

Hello!

Anybody from Spain presenting to the Canguro Matemático?

[ornate blade]

the Kangaroo competition is a pretty famous competition worldwide

you're definitely not alone

I remember taking it myself

[fallow finch]

anyone doing kangeroo?

[ornate blade]

lmaoooo

[fallow finch]

im taking it a bit stressed ngl

[pearl crater]

Yeah

[pearl crater]

I know, I meant the Spanish Canguro

[ornate blade]

I refuse to believe that's not the same as the one internationally

[pearl crater]

It's the same

But I mean, someone from Spain in the kangaroo

[urban sorrel]

Hey! Thank you ur method worked ! (Nest surds) that method is so smart

And it is pretty cool too

( https://youtu.be/K5W0DMMukZQ?si=w-fnnnfeKZ94JsLw )

[ornate blade]

no worries!

[half arrow]

Has anyone done All-Russian MO finals and st Petersburg MO? If yes, in what way are those problems nice (assuming that they are)

[full sand]

I dont know any cyrilic

[twilit peak]

$Q+Q^T=0\implies v^T(Q+Q^2)v=0\implies v^T Qv+v^T Q^Tv=0$

[gilded halo]

Actformain

[twilit peak]

tell me if anythings wrong

[shadow spruce]

😭

[radiant jasper]

hi

[snow elm]

Only at 6th?

[vestal oxide]

how much of a difference really is there between AIME qualifer x2 or x3 and AIME qualifier x1 since colleges know that u can qualify for AIME if you have qualified before

[ornate blade]

Only the likes of MIT would care

The vast majority of unis aren't even aware of this fact

[pallid tundra]

admissions peeps at the top schools have seen it all

they probably wouldn't be particularly impressed unless you scored high at USAMO or smth

[bleak dune]

rate my birge kalifa equation

[dry rune]

Hello! I am an aspiring math olympic and i need someone to help me with building my preparation plan for the next year. I also want to do well in selection test for IMO. Is there someone that can help me?

[summer roost]

Suppose 91 distinct positive integers greater than 1 are given such that there are at least 456 pairs
among them which are relatively prime. Show that one can find four integers a, b, c, d among them
such that gcd(a, b) = gcd(b, c) = gcd(c, d) = gcd(d, a) = 1.

I tried a graph approach but was unable to achieve anything

[kindred wraith]

the immediate response when i see a question like this is pidgeonhole principle

have not tried it but that would be my first method of attack after trying simple cases

[summer roost]

My method was similar

I tried to prove that 4 cycles must exist for 456 node graph

But was unable to prove it

[radiant jasper]

guys

anyone doing tmsca general math

[cerulean torrent]

if im doing alcumus should i do hard normal or insanely hard i aint doin easy

[radiant jasper]

i would recocmened arthur engel's problem solving strategies for problems and help

its online as well, the book i mean for free

[snow elm]

You can’t beat those Chineses trust me.

[radiant jasper]

okay buddy 😭

i mean i agree

but thats like

a bit sterotypical

lowk

lets not

[snow elm]

No bec they work harder than everybody else

[radiant jasper]

well yeah but still

lets not

[snow elm]

If u practice 8h they will practice 16h

[dry rune]

Thank you very much! Besides this, are AoPS books great to use?

I mean the olympiad recommandations

[dry rune]

Bro i want to get to imo first

[snow elm]

Just do AMC OR AIME

[dry rune]

Then I ll let chinese beat me idgaf

What are these?

[snow elm]

I’m not discouraging u lol

[dry rune]

Say

Tell me the secrets

[snow elm]

But it’s the fact

If u are a child prodigy like Terrence Tao or Jordan Ellenberg you can try to beat them

If u are not just don’t even try

That is actually ridiculous

Don’t waste ur time on that 1% success rate

[dry rune]

I DON T WANT TO BEAT CHINESE PEOPLE

[snow elm]

But u can’t even be in the team without beating them

[dry rune]

I want to beat the people from my country

Why?

[snow elm]

Wth lol

[dry rune]

I m not chinese bro

[snow elm]

Ikik

Obviously lol

You can’t get to imo

Thou without beating others

[dry rune]

Ok man I m actually pretty started up and i want to do this

[snow elm]

Is there any competitions that only Americans can participate in? lol

[dry rune]

I m not american bro

[dapper magnet]

this feels so stereotypical, and im a chinese-indonesian

[snow elm]

Ok

[snow elm]

But it’s the facts they are smart bec they work hard then everyone

[dry rune]

What? You mean you can get to IMO just if you are gifted?

Hard work builds talent bro

[snow elm]

? Wow good understanding skills

[dry rune]

Well by Child prodigy that s what you mean

[snow elm]

Yeah cuz 80% are gifted

20% hard working

That’s the fact

[dapper magnet]

💀

[dry rune]

Good, i ll be from that 20%

[snow elm]

Nonono I mean

Genius only need 20% of hard working to succeed

[dapper magnet]

i dont think u should listen to that person, its not really 80% 20%, i feel.

[snow elm]

90 and 10?

[dry rune]

Yeah this guy is wierd af

[snow elm]

Bro if u just wanna waste time on that fine

[dry rune]

Man I know some persons that went on IMO and got bronze, and they didn t even took 70% on regional math olympiad next year

They are clearly not that Terry Tao level

[snow elm]

Well if your team is not america then u can try

[dry rune]

WELL IS NOT

[dapper magnet]

there is no such thing as "Wasting time" when u lose a competition

because each time, u gain new experience

[dry rune]

It s romania

[dapper magnet]

which will be valuable for ur future endeavor anywas

[snow elm]

That is competitive too

[dapper magnet]

if u want to try, go ahead @dry rune , u shouldnt let anyone stop u

[snow elm]

Idk the situation there so u can try if u want

Even don’t win anything

[dapper magnet]

that kind of tenacity serve u in the long run

[dry rune]

And i ll beat the shit, i ll grind hundreds of days and i ll achieve my dreams

Lock tf in

I m going rn on starting my way

[snow elm]

Hope u don’t got frustrated after you see how intelligent those geniuses are

[dry rune]

Bro i am not american

I know this guys are good af

At least i m getting lot of information

[dapper magnet]

now ur just being bitter.

[dry rune]

I don t take bad words from online people so idgaf anyway

[snow elm]

Just avoid those people that just tell u the good stuffs of the thing and don’t tell u the bad stuffs

[dapper magnet]

u are NOT that guy 💀

[dry rune]

Man, then what are we living for?

Nothing?

[dapper magnet]

dude dont listen to him he's just an ass

[snow elm]

Wow

Pls do not swear

[dapper magnet]

just try. best case scenario u win, worst case scenario u gain experience for the next competition, and along the way u will learn new math techniques

[snow elm]

Use ur hard working and time to buy a weighted lesson

It’s totally worthy uk

[dry rune]

Wdym by weighted lesson?

[snow elm]

See how cruel it can be

And how does it feeling far away from ur anticipation

[dapper magnet]

💀 bro we get it its not easy, why do u keep trying to discourage them

if u had bad experiences with math competition, dont project it on other people

[snow elm]

Wow

I’m just telling the truth

I’m not racist to Chinese

[dry rune]

Chinese?????

[snow elm]

I’m just saying they are hard working it does it means I comment negatively

Or based on bias

And u just understand as I’m being racist to the lol

Them

[dry rune]

Nah man we got it, but these arguments don t lead to me not doing it

[snow elm]

Ikik

It’s your rights to do anything u want

[dry rune]

Yeah

[snow elm]

Just my suggestions

[snow elm]

That is actually against the rule I guess

Attacking people verbally

[dapper magnet]

theres also this. whats ur point?

[snow elm]

If u are a short temper person I have no idea how to solve it

[dapper magnet]

u repeat a stereotype, tried to discourage someone trying to reach their dream, and for what?

[snow elm]

Discourage did not means discriminate

[dapper magnet]

did i say that?

[snow elm]

Well if u said that is stereotypes I have no idea, cuz my Chinese classmates are indeed Hard working students I see their work

[snow elm]

Yeah. That discouraging is not against the rule

It’s still their choices to do or not lol

[dapper magnet]

with that line of reasoning, i wouldnt be surprised if u turned out to be racist, ngl .

[snow elm]

???

They are my friends

And u said that is bias are u serious?

lol

[dapper magnet]

though morally repulsive to do so. literally noone asked about how much better the chinese are, he was here for informations regarding math competition

[snow elm]

I did not say “ Chinese people are always smart”

[dapper magnet]

i never said u said that either, learn to read

[snow elm]

That is a stereotype

[dapper magnet]

😐

im not gonna entertain stupidity, have a nice day

[snow elm]

I said they are smart bec they are hard working

If u are genetically hate whites or Americans I have no words to say

Do some yoga or mindfulness

[novel karma]

lmaoo 🤣

[pallid tundra]

sanest #competition-math discussion

[raven void]

Any Arabic-speaking high school students wanna enter a team-based math competition? It's Purple Comet

[kindred wraith]

seriously what is with people being racist all the time

[high goblet]

lmao actually just read this convo, wtf happened

[kindred wraith]

ikr

[high goblet]

uhhh <@&268886789983436800> can someone deal with this? ty

[high goblet]

uhh i think u said ur country is romania?

not too familiar with how the romania selection works but yeah probably just grind out relevant past papers

ik RMM is quite theory heavy compared to other olympiads so idk how much theory u'll need for romanian olympiads but in general, i think it's always good to start with just doing problems to improve ur problem solving abilities

there's a great selection of problems&solutions on the AOPS forums

also idk what sort of ability you are, but one thing i'd recommend is to generally don't be shy trying problems that are you think are hard

if you think difficulty X is your limit, try doing difficulty X+epsilon, you might find that actually difficulty X+epsilon is not as hard as you might think

(so even if you don't think ur ready for IMO it can be worth trying some of the easier IMO problems etc.)

[ornate blade]

yeah they are I answered one of the Romanian maths magazine problems for them

[weary edge]

looks like gun

[bleak dune]

lol

[pearl crater]

Kangaroo is tomorrow

I'm cooked

[acoustic nova]

it’s not all about practice time

of course

(and thankfully)

[soft vigil]

tbf

its easy

[hollow drum]

what the fuck is this

[sleek ivy]

Bro put it in math terms

[kindred wraith]

it's nonsense, don't give it attention

[patent shore]

Hi

[ornate blade]

math server do be like that

[raven void]

Interested?

[ornate blade]

oh fuck I did Purple Comet too as a secondary schooler

don't ask me about it though

[feral flower]

hello

[whole sapphire]

Heyo

[feral flower]

I'm seeking help for high school math

I'm getting into 11th grade

[pallid tundra]

wrong channel

!da2a

[scarlet root]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/

[feral flower]

where do I ask then?

[pallid tundra]

did you not see these channels right above this one

[bleak dune]

me if i ever decided to make tests

[lunar geode]

average JEE question probably

mush of concepts

[shadow spruce]

Why? 我就不是很厲害呀

[ornate blade]

thank you for your nonviolence

[deft wraith]

what is this 💀

[edgy vapor]

what’s happened here

[deft wraith]

CNAG?

based

[edgy vapor]

yeah

[deft wraith]

nice

i think that is the optimal permutation

[edgy vapor]

how bout you?

[deft wraith]

preference: CNAG
skill: GNAC

LOL

[edgy vapor]

G first place?

wow

[deft wraith]

i am unfortunately really good at G

[edgy vapor]

pure geo?

[deft wraith]

yeah

im ok at cg as well

[edgy vapor]

my geo is suck

[deft wraith]

i think i can solve like d8 geo

and d5 c 💀

[edgy vapor]

I can’t even do d5 g

howwwww

[deft wraith]

soon

how many years you got left

[edgy vapor]

oops

1

[deft wraith]

yeah u can improve a lot in 1yr

this was my final yr

[edgy vapor]

You’re aiming for medal?

[deft wraith]

i got imo tst but im going to different tst instead

ipho

[edgy vapor]

cooking

[fervent pumice]

cooking at 2:20am 👍

[dry rune]

You got in that top 15 that get imo tst and you are not going?

[dry rune]

Do you think 1800 hours of study imo/imo tst math is good enough or should I work like double of this?

[deft wraith]

it's top 24 but yeah

[deft wraith]

just work as hard as you can

dont aim to do X

just work

overplanning is a curse

[dry rune]

That s great advice

But how much hours a day did you work ?

To get here

Just an idea of it

I want to be the best in my region and i want gold to national but the competition in my country is so good

Cause they are from a private school special for olympics(and they are doing just this stuff)

I mean they are doing just math

And it s hard to

Beat them

But i want to be better than them so i will work like 6 hours a day

For a year

Not pause days

[deft wraith]

no idea, just worked when i could

everyones hours will be different

[kindred wraith]

also dont forget that olympiad math is like

nothing like any other math

its not the same set of skills as say research math

and very different from math education work

not that there aren't any overlaps, but just keep in mind not to overassume its value

top performers can be good career mathematicians, but not necessarily

[hushed charm]

Same here in Brazil, every year, the same 2 schools have at least 1 or 2 students going to the imo

Guys, do you think that these AOPS alumnis are strictly from the paid courses? Besides that, how good do you guys think these paid courses from aops are?

[deft wraith]

just so you know the only reason this is true is because aops gives free course access to all the campers

aops is not worth it

they teach you via a chatroom

[deft wraith]

yeah ofc ig?

[hushed charm]

lol

[hushed charm]

Have they already given you this free course?

[deft wraith]

im not american

its only for american campers

they literally teach you via chat theres no video or voice btw

[deft wraith]

doing well gives u lots of opportunity for unis and whatnot

knowing proofs helps a lot

often if you learn advance techniques there is decent overlap in lin alg, abs algebra

[hushed charm]

wth, it is $800 or something like that

crazy

Actually it can be cheaper, but literally just chat

[deft wraith]

not worth it -- do not reccomend

[hushed charm]

yeah

[amber gull]

does anyone know how do i start doing competition math from nothing

I've never competed before

[quick frost]

From all countries?

[pallid tundra]

no

[soft vigil]

ngl i would not ask for that in this server

after all pirating is banned

[cerulean torrent]

shoot im cooked

deleted

[acoustic nova]

<@&268886789983436800> is this a real thing? idk if it was an appropriate ping but

[sick fable]

we do not allow unsolicited advertisements

if you want to advertise a math competition, please dm @quick aurora and we can discuss it

[raven void]

No, excuse me, I'll ask, I rlly need help😭😭😭

[ornate blade]

you can ask other people though

[raven void]

Can you at least tell me the curricula I should cover?

Or the books you used

I'd be rlly rlly thankful

[raven void]

I aksed, and the information didn't seem to help much

https://tenor.com/view/ogli-gif-17468683305861986751

[vague temple]

Prove that there are infinitely many primes of the form p = m^2 + n^2 for positive integers m,n.

[wicked thorn]

POP QUIZ: if I wanted to add every single whole number from 1 all the way to 50 up without actually doing all the addition, what formula would I use? The formula should give the same amount as 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50

[wise cloak]

It would be 1,275

[wicked thorn]

Yes

But what formula did you use?

[gritty stag]

n(n+1)/2

prove it by pmi

[wicked thorn]

Si

[gritty stag]

I think infinite descent

[shadow spruce]

penalise or penalize

[sleek ravine]

penalize

[deft wraith]

try easiest rounds of your countries math competition

[vague temple]

How would you apply it?

[shadow spruce]

澳門人?

[spice anvil]

Sigma notation

[coarse shuttle]

how does placing restrictions on homogenous inequalities work?

like can i just say "oh let abc = 1"

or a+b+c = 1

[high goblet]

yep

as in formally, for a homogeneous inequality, say like x^2 + y^2 + z^2 >= xy + yz + zx

it's true for (x,y,z) iff it's true for (kx, ky, kz) for k > 0

so you can always scale s.t. abc=1 or whatever

anyway yeah that means you can always go backwards to place whatever appropriate restriction you want

[amber gull]

no 天津人

[regal tinsel]

help me i need food

[sleek ravine]

what do you want us to do? email you food?

[regal tinsel]

can you?

or water?????!

i need some motivation to move with math

[pearl crater]

Country and age

If you still in school, it's really easy

There are lots of resources online

And school level competition isn't too hard

[coarse shuttle]

so i can make like literally any restriction

actually nvm thats stupid

[high goblet]

yeah but in all likelihood there is very little chance that i.e. assuming a^5 + 3a^2b + c^7 = 29873 will be useful at all

ur much more likely to assume say abc = 1 or a+b+c=1

[high goblet]

(well ok any restriction provided you can get there by scaling x,y,z by the appropriate amount)

(also you need it to be achievable, i.e. x^2 = -1 will obviously not work)

[amber gull]

16 and portugal

chinese guy in portugal

[pearl crater]

You gonna rock it

Portugal is really small

Not many people

If you've got some talent and practice, I'm sure you'll get great results

https://olimpiadas.spm.pt/

Portuguese Mathematics Olympiad

https://www.matematica.pt/canguru/provas-canguru.php#:~:text=Neste local estão disponíveis todos os enunciados das,a resposta correta a cada uma das perguntas.

Portuguese kangaroo tests

@amber gull

[amber gull]

ya

[pearl crater]

Why are there like 12 people named Chinese Haxxor 😭

They don't have pfp

[amber gull]

bro i never done competitive math before

liike i have vthis problem

[pearl crater]

There's always a first time for everything

[amber gull]

if i see a olympiad quuestion i suddenly dont know what todo

[pearl crater]

What is VTHIS?

[amber gull]

*this

[pearl crater]

What 😭

Let's try

Wait a minute

Show me a olympic question you don't get

[amber gull]

ok

[unkempt wyvern]

how do you get to the blue part

where does x come from

[pearl crater]

Oh fuck

I thought it was the one above

And I was terrorized

Let me translate this

[kindred wraith]

this is just the finite geometric series formula with ratio r = -a

the x is some placeholder value, showing you that the exponents go down by one, alternating sign

the x here is written and used a little weirdly

but otherwise has no function, its just showing you whats happening when the entire alternating sum is written out and simplified

[amber gull]

@pearl crater

btw just to mention

i do a levels so im actually in a different curriculum than the actual portugese one

[pearl crater]

What

What's a levels?

I can't help you rn sorry

[amber gull]

na is fine go focus on ur own stuff

is my issue i should handle them alone anyway

[amber gull]

like some sort of international curriculum

[pearl crater]

Oh

Cool

Bcuz you rlly smart or bcuz you chinese in Portugal?

Or for some other reason?

[amber gull]

bcuz im chinese in portugal

[pearl crater]

Ok

[amber gull]

like i just do a different system

[pearl crater]

I think Chinese system is much better than Portuguese one?

I mean, at education

[amber gull]

yeah

but i havent dlone that in a while

[pearl crater]

Oh

If you wanna start with olympiad I recommend starting with the Kangaroo

[amber gull]

alright

[pearl crater]

Really easy exercises with broadly published answers

[amber gull]

thanks alot man for the help

[pearl crater]

It's alright

Ping me if you need anything

[amber gull]

oki

thanksagain

[hushed charm]

Let ABC be a triangle with ∠BAC = 70°, ∠ABC = 50°, and M be the midpoint of side AC. Let P and Q be points on lines BC and BA, respectively, such that the circle passing through P, M, B is tangent to BA and the circle passing through Q, M, B is tangent to BC. What is the measure of the angle ∠PQB?

(A) 60°
(B) 70°
(C) 80°
(D) 90°
(E) 100°

[coarse shuttle]

Yeah I realized after saying that that by that logic I could just set them all to be 0

Which would he stupid

So probably the restricted set has to be some kind of interval

[trail bobcat]

resource and teaching quality? yes
amount of stress it gives? hell no

[plush stream]

here's an intresting and fun problem that i found on reddit :
Suppose there are 7 runners on a circular track, and they all start running clockwise at the same point
on the track. For all 1 ≤ k ≤ 7, runner k runs at k miles per hour. Given any point in time t, let σ(t) be
the current permutation of the runners, reading from the start of the track clockwise for one loop. How
many distinct possible permutations σ(t) are there if the runners can run for an arbitrarily long amount
of time? Assume that a valid permutation has all the runners at distinct positions on the track.

for anyone wondering from where i got the question, it was on the recent r/mathmemes online competition

[hazy reef]

Hi

Just got home from mathcounts

[azure bloom]

Mathcounts is very fun

[hazy reef]

real

[cerulean torrent]

howd u do

[deep goblet]

Hey guys am I allowed to to promote a math competition here

[deep goblet]

https://forms.gle/RRvjznZeFcudfPRL9

[pallid tundra]

need to get approval from mods first before advertising

go send a DM to modmail

[deep goblet]

Ahh I see

[deep goblet]

Where’s mod mail

[pallid tundra]

top of the users list

[neat rivet]

buddy put ads at that primary school or highschool boards. proablity that you find candidate, is nearly zero

[ornate blade]

Who you advertising to

Min age for Discord is 13

[deep goblet]

7th and 8th graders

[opaque merlin]

Wha if I don't have friend to get Teams of 4-6

[deep goblet]

Individual sign ups work too!

[deep goblet]

We will randomly assign a team on day of competition or you can also participate as an individual for the team round though it might be a little challenging!

[opaque merlin]

What If I live in the ocean

[deep goblet]

Bro stop trolling

I want to make this accessible

To everyone

[opaque merlin]

K. But I don't live there so...

[deep goblet]

It’s ok

I’d appreciate if u could share it to mass people

Tho

We will try to make it online nest year

[opaque merlin]

K then

[shadow spruce]

😭

[pallid tundra]

yeah uh

[pallid tundra]

your target audience is mostly too young to be on this discord lmao

[ornate blade]

I was thinking that at first but it's actually fairly plausible

the reason it's inacessible is actually the location

you need to be American and live in the rough vicinity of Boston

[pallid tundra]

me trying to advertise my LA area contest be like

[ornate blade]

lmao

[ornate blade]

they're not wrong though

[obtuse bramble]

where

im in Huntington beach

[pallid tundra]

usc

registration has already closed since the contest is uh

this saturday

but if you want to compete with us in the fall that's an option

[calm nymph]

hello guys, how can I start competitive maths and what really is competitive maths?

[trim bramble]

more problem solving and critical thinking types of problems. The difficulty isn’t really in the calculations usually but in how you go about solving a problem using logic

[calm nymph]

thanks for the insights, is 16 too late to start?

[trim bramble]

you can start at any age, it’s just a new way of thinking

look at like the amc10 from this year and try the provlems

[calm nymph]

thanks mate.

[deft wraith]

No

[calm nymph]

great

I am not sure if this is the right place to mention and talk about stuffs but is there a prepared roadmap?

[deft wraith]

No

https://web.evanchen.cc/wherestart.html

[calm nymph]

thanks a lot, it helps!

[obsidian herald]

@wintry juniper to answer your question on "how to use Jensen in part (c)"

1. find such function f
2. prove that f is concave: https://math.stackexchange.com/a/3011915/290189
3. apply Jensen's inequality ||on a, b, and c, following his assumption that a + b + c = 3||
   #help-21｜아리스킨충1 message

[sleek ivy]

would you say thats useful for amc12 also?

[wintry juniper]

I should have been more specific, I didn’t understand how u get the function in the first place

Taking the derivative is easy

But then I realized the intended function is supposed to have no constants

But should have x in there

Idk why

[hushed charm]

Of course, btw I haven't seen anywhere on this page saying that the recommendations are only for a specific olympiad

The foundations are kinda the same: problem solving, writing proofs, algebra, geometry, number theory and combinations/probability...

I think you didn't read the page, but it is simply introducing math olympiad, with some good first books and nice ways to start

[obsidian herald]

from homogenization, followed by the application of the assumption that "a + b + c = 3" ||twice (once on each side)||

[wintry juniper]

But why twice

I understand that if u do that then u get the function

But it doesn’t look motivated to apply it twice instead of once

Like why not just make it - 1/16

[obsidian herald]

When you finish part (a), you'll see why
I call it twice cuz once on each side
If I count once on each denominator, then it would be four times

[wintry juniper]

Wait

[obsidian herald]

The most important thing is that after de-homogenization in part (b), you get a cyclic sum of a single-variable rational function

[wintry juniper]

No I know what u mean

[obsidian herald]

That's where f comes from

[wintry juniper]

wait

no so the desired function is

1/(x+3)^3 - x/16

im wondering why u use this function instead of

1/(x+3)^3 - 1/16

ok well its some multiple of it

i forgot what it is but its like

16/(x+3)^3 - 16/x

i forgot but u get my poit

why do we replace the right term too with x

instead of like 1

[obsidian herald]

Do part (b) first, and you'll see why

you may show us your work, so that I know where you're stuck

The coefficients in your functions are wrong

if you've tried, it's more likely that you get them right

[wintry juniper]

yeah part b is what im confused on

the intended answer for part b is f(x) = 16/(3+x)^2 - 1/x

but im wondering why we cant use 1/(3+x)^2 - 1/16

obv the latter is one where we cant use jensens

but whats the modivation to not use this instead?

[obsidian herald]

first show us how you got this function, so that we understand more the context of your question

The answer for your "why not this function" question is simple, and doesn't require any calculus.

Only basic knowledge on convex functions is needed
There're a couple of lemmas needed to answer your question
One of them is ||the fact that the reciprocal of a positive concave function is convex||

[deft wraith]

i think he has amc advice

[vague temple]

If you assume twice differentiability the equivalent condition f’’(x) > 0 is probably easier

[obsidian herald]

there're some problems in which even with twice (or even infinite) differentiability assumed, the secondary derivative would be tedious to calculate, and the solution will be much less elegant and readable than an elementary one

say to determine the convexity/concavity of the set Rₛ = {(x, y) ∈ ℝ² | |x|ˢ + |y|ˢ ≤ 1}

where s is a positive number

[gilded halo]

vin100

[obsidian herald]

due to symmetry, it suffices to consider the upper right quarter of this set

i.e. {(x, y) ∈ [0,1]² | xˢ + yˢ ≤ 1}

this will give the function x ↦ (1 − xˢ)¹⸍ˢ, and a pretty straightforward solution
however, i don't find this beautiful cuz i don't see the reflectional symmetry along the line y = x throughout such argument

a much more elegant solution would be to make use of the convexity/concavity of the mapping x ↦ xˢ on [0, 1]

then the curve will slice the unit square [0, 1]² into two parts. choose an appropriate part and prove that it is convex
in the whole process, you'll observe the symmetry between x and y, cuz swapping the x-coordinates and with their corresponding y-coordinates won't change the argument

[acoustic nova]

do u mind explaining Jensen’s inequality? I feel like I’ve hear of that in several places but never rlly saw it. I’m not sure if it’s above my level

[obsidian herald]

,tikz
\draw[->, gray] (-1,0) -- (8,0); % draw the real line

% draw the points a, b, c
\foreach \x/\name/\fx/\lblpos/\text in {0/a/3/above/x_1, 2/b/2/below/x_2, 6/c/4/above/x_3} {
% on real line
\node(\name)[circle, fill, inner sep=1.5pt, label={[blue!40]below:{$\text$}}] at (\x,0) {};
% on the curve
\node(f\name)[circle, fill, inner sep=1.5pt, label={[blue!40, font=\scriptsize]\lblpos:{$(\text, f(\text))$}}] at (\x,\fx) {};
}

% labelled curve
\draw[yellow!50!black] plot[smooth, tension=1.3] coordinates {(fa) (fb) (fc)}
node[anchor=north west, font=\small] {convex function $f$};

% draw convex polygon
\draw (fa.center) -- (fb.center) -- (fc.center) -- cycle;
\node(fd)[circle, fill, inner sep=1.5pt, label={[red!30,font=\tiny]below right:{$(w_1 x_1 + w_2 x_2 + w_3 x_3, w_1 f(x_1) + w_2 f(x_2) + w_3 f(x_3))$}}] at ($(fa)!.8!(fb)!.25!(fc)$) {};
\draw[->] (fd) |- ++(2, -1) node[draw, align=left, font=\tiny, right]{$f(w_1 x_1 + w_2 x_2 + w_3 x_3)$\$\le w_1 f(x_1) + w_2 f(x_2) + w_3 f(x_3)$};

\node[font=\bfseries\large] at ([yshift=10pt]current bounding box.north) {Visual guide to Jensen's inequality};

[gilded halo]

vin100

[obsidian herald]

convex function equivalent to the function's epigraph is convex

[acoustic nova]

how did u get all of that so fast lol

thanks btw

[acoustic nova]

wait what’s an epigraph

[obsidian herald]

i pinned that in my DM with @gilded halo

[obsidian herald]

Here the weights wᵢ satisfy 0 ≤ wᵢ ≤ 1 and
-# n
∑ wᵢ = 1
-# i = 1

I transferred the inductive step from Jensen's inequality's proof to the lemma that

convex combination of points in a convex set is still inside that set
the above lemma is

• more abstract, so more reusable
• more visually intuitive

[glass sail]

I don't understand

[pallid tundra]

!da2a

[scarlet root]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/

[rose niche]

i give up

the question is the left big thing

[ornate blade]

what's the original question

is the BDA0 and 1B7C part of the original question?

[rose niche]

yes

abc*ac = bda0+1b7c = c3dc

normal multiplication

[rose niche]

nvm solved

[ornate blade]

oh yeah

then the C * C = 0 gives it away cause C = 0

[rose niche]

nah a,b,c,d is 2,4,6,9

[ornate blade]

,calc 246*26

[gilded halo]

Result:

6396

[ornate blade]

AH I misinterpreted the multiplication

what kind of order is that???
ABC * A for BDA0 and ABC * C for 1B7C wtf

ah then it should be C * C = C so you were indeed correct

[raven void]

May I ask in hs competitions, may it happen that problems link combinatorics and geometry, or combinatorics and number theory?
If yes, can someone recommend a problems textbook, not for one branch, but one that links branches?

[pallid tundra]

happens all the time, a good introductory combo textbook should expose you to a lot of the common ones

[vernal axle]

A can be only 2 or 3 and C can only be 6 (1 and 5 are obviously excluded). So it is easy to guess that it is 246*26

[shadow spruce]

Freemont

[pallid tundra]

so true

[ornate blade]

how is 5 obviously excluded?

ah right I see now, was focusing on the wrong multiplication

[fleet barn]

Anyone on?

[lilac plaza]

Anyone preparing for IMO?

[pallid tundra]

most of the olympiad students hang out in the server linked in the channel description

[ornate blade]

what have you tried?

also please don't post twice

[obsidian herald]

is this a math contest question?
that seems to be a basic word problem
so #prealg-and-algebra or a usual help channel or #math-discussion would be a better place

[manic kraken]

my bad

[unborn pelican]

Helpppp

I'am getting cooked

[hazy dust]

Let $ \Lambda $ be a lattice in $ \mathbb{R}^2 $ with determinant 1. Let $ \vec{v} = (v_1, v_2) $ be a lattice point of $ \Lambda $ with positive $( v_1, v_2) $. Let $v_1 v_2 \leq \frac{1}{2}.$ Prove that there exists a line passing through the point $ \vec{v} $ and cutting off a triangle from the first quadrant that contains no lattice points of $ \Lambda $, other than the origin and the point $\vec{v} $.

[gilded halo]

kenshin

[hollow bobcat]

Doing school project on end-users insights sort of like an interview where. https://docs.google.com/forms/d/e/1FAIpQLScGqyZVUqd6ohqK1bVYawpHwb1nddQU9krMmMakseYh6PyekA/viewform?usp=header

[hazy dust]

<@&286206848099549185>

[radiant jasper]

I am grade 10 and I was gonna say oh no is this what I will have to study but then I looked at it again and it's understandable with some studying

[pallid tundra]

ah yes putting a Putnam B6 in a precollege contest channel

[orchid needle]

Need some help please

Find the number of ways of choosing the vertices of a regular 17-gon so that the three vertices form an obtuse triangle

<@&286206848099549185>

[pallid tundra]

don’t ping helpers immediately.

[orchid needle]

oh sorry

i didnt know that

please help though

i have 20 miutes left and ive worked on it for an hour

i only know its 17c3 and that theres no right triangles

[pallid tundra]

20 minutes left for what

[orchid needle]

to submit the homework assignment

please help

[deep nova]

<@&286206848099549185>

[deft wraith]

Is this pre college

[pallid tundra]

Putnam is basically the undergrad math contest in America at least

[deft wraith]

No I mean is this channel only for pre college?

Does it say that anywhere I couldn’t find it

Putnam questions are pretty cool I think it’s fine to post here, some are easier than IMO questions and can be done with HS maths

[pallid tundra]

it's listed under the pre university category

and its audience is mainly precollege students

but yea thats fair

[untold thunder]

Does anyone know about how many questions you should solve on the Awesome Math admissions test to be accepted?

[untold thunder]

!!!!!

[sour depot]

idk but i heard 6 out of 10 is enough for a solid chance

[untold thunder]

Alright thank you

[dusty marlin]

I imagine we need to use the formula for convergence of geometric series

by setting the formula for each series equal to each other I found a = 333(1 + r)

I'm not really sure what else to do here though. ideas would be appreciated

[pallid tundra]

set them equal to 2025 !

[left glacier]

if soh cah toa exist, then why cho sha cao doesnt?

[pallid tundra]

????????????????

what is that even supposed to mean

[icy elbow]

how am i supposed to solve this problem:

Consider n (> 1) lotus leaves placed around a circle. A frog jumps from one
leaf to another in the following manner. It starts from some selected leaf. From
there, it skips exactly one leaf in the clockwise direction and jumps to the next
one. Then it skips exactly two leaves in the clockwise direction and jumps to
the next one. Then it skips three leaves again in the clockwise direction and
jumps to the next one, and so on. Notice that the frog may visit the same leaf
more than once. Suppose it turns out that if the frog continues this way, then
all the leaves are visited by the frog sometime or the other. Show that n cannot
be odd.

[left glacier]

cause cho = cosecant = 1/sin x = hyp/opp
sah = secant = 1/cos x = hyp/adj
and cao = 1/tan x = adj/opp

[pallid tundra]

sure you can make those acronyms but they're not particularly useful

when it's easier just to remember those as the reciprocals of sin cos tan

[reef condor]

Mod

[pallid tundra]

proceed by contradiction assuming n even?

[pearl crater]

Guavas

[scenic cape]

Anyone here know when Fermat (cemc math contest) honor roll comes out??

[spare bobcat]

Why should 1/0 be infinite

[sleek ivy]

It’s not, it’s undefined

The limit of 1/x as x approaches 0 is infinity

[spare bobcat]

Oh

[versed prism]

now

[sleek ravine]

the limit of 1/x as x approaches 0 from the right is infinity, from the left its -infinity and the entire limit does not exist

[spare bobcat]

Ah

[deft wraith]

Depends from which direction

[sleek ivy]

I mean it’s infinity either way just negative or positive

[sleek ivy]

Can I check those anywhere or does my teacher have to tell me

[versed prism]

if u made honor roll its on cemc

if not ask ur tescher

[sleek ivy]

How much was honor roll do you know

[versed prism]

which contest

[sleek ivy]

Fermat

[versed prism]

its like 130ish

[scenic cape]

I got onto the honor roll!

[amber monolith]

im a freshman prepping for amc 10/aime next year and wtf are these problems 😭

[hazy dust]

Let $a, b, c$ be pairwise coprime integers. Consider the vector $\mathbf{v} = (a, b, c)$ and the plane $\pi$ in three-dimensional space $\mathbb{R}^3$, which is orthogonal to $\mathbf{v}$ and passes through the origin. Prove that the set of points in this plane with integer coordinates, i.e., the set $\pi \cap \mathbb{Z}^3,$ forms a lattice (in the plane $\pi$), and find its determinant.

[gilded halo]

kenshin

[vagrant torrent]

Study modular arithmetic

[pallid tundra]

late AMC problems can be like this

like final five late

[jade tartan]

Who's from Nigeria here?

[scenic cape]

never seen module problems in amc

[ivory ember]

https://artofproblemsolving.com/wiki/index.php/2022_AMC_10B_Problems/Problem_25

Tbf a lot of the questions use mods but don’t use the actual mod notation

But looks like they gave up here lol

[amber monolith]

i know quite a bit of modular arithmetic but this is too much for an amc problem

this would be like p4-5 on the aime

[sour depot]

i could swear there was one on this year's amc 12

[scenic cape]

Oh actually

I only took amc 10 idk about 12

[sour depot]

yeah

modular arithmetic i think is good to know for both

[true grotto]

I am planning to give, how do I prepare 😭

Like tuition is too expensive, I can afford it but still

[scenic cape]

I just do the previous contests questions

[true grotto]

oh alr like past papers?

[topaz mist]

Yeah I think it's what he meant

Btw what is amc ? Sounds fun

[true grotto]

it’s like a math exam eventually leading up to IMO

[ornate blade]

bruh most people who take the AMC aren't thinking about IMO at all

[topaz mist]

Oh ok, and is it mendatory to access IMO ?

[topaz mist]

Why ? Is it because one is much harder than the other ?

[ornate blade]

yes

think about it, for the IMO you can have maximum 6 people from your country

[high goblet]

lmao "ah yes q1 here leads to the IMO"

[topaz mist]

Oh ok, but is the AMC international too ? And does it mean that it's open for everyone ?

[ornate blade]

yes, and yes

the only restriction is that your school needs to offer the competition

there's a paper version and an online version

[topaz mist]

Ok ty

And how hard is it ?

[ornate blade]

it's the first round of the olympiad selection process

all computational

https://artofproblemsolving.com/wiki/index.php/AMC_12_Problems_and_Solutions

[topaz mist]

So it's hard 😭

[ornate blade]

the 12th grader competition is on the hard side definitely

UKMT senior is nowhere near this hard

[topaz mist]

Damn

And ig there are no calculators allowed ?

[ornate blade]

that's correct

[topaz mist]

And in the case where your school doesn't allow you to participate/doesn't have any papers, you can't participate ?

[ornate blade]

yep

[topaz mist]

Too bad for me then

But thank you for the explanations anyway

[ornate blade]

no worries!

[sleek ivy]

Obviously?

[topaz mist]

yeah sorry, never searched anything about math competition before... you're right, kinda stupid to ask

[quaint oyster]

so ukmt is easier than amc 12?

[deft wraith]

If you are a US citizen yes

[deft wraith]

The senior maths challenge? Yes

[true grotto]

yea but it’s the first step

[topaz mist]

Am not so don't know if it applies

[deft wraith]

What country are you from?

[topaz mist]

France

Ig AMC is also a thing here but I didn't research anything yet

[deft wraith]

There is French MO

Hold on

https://maths-olympiques.fr/wp-content/uploads/2024/10/Sujet-coupe-Animath-Automne-2024.pdf

Look on this website

/https://maths-olympiques.fr

[topaz mist]

Alright thank you so much ! I'll look that up

[topaz mist]

Yeah so I'm pretty much cooked, my ego fell off so hard just by looking at the exercises 😭💀
Has anyone any advice on how to simply get better ? (other than doing every former exam)

[median scroll]

Hi

[pallid tundra]

got all of 90 minutes of sleep Friday night and then had to host a big contest at my university on Saturday

pain.

[soft vigil]

wrong

[acoustic nova]

what university just wondering?

[acoustic nova]

?

[pallid tundra]

usc 💀

[topaz mist]

holy

even though i'm not from the us, google told me how good it is
strength to you

[ornate blade]

how do you know?

[ornate blade]

there's probably loads of other good universities outside Anglo countries

the US just has the money and resources to be able to do good research

for good teaching material factors aren't relevant beyond a certain base level

[topaz mist]

Yeah probably, but unfortunately sometimes it's the quality and the reputation of the school that gets you hired or not

But I agree, in terms of education as long as have at least good teachers and a decent infrastructure, wether it's maths or science, you should be juste fine

[soft vigil]

I know lots of people

[ornate blade]

correction: you know lots of nerds

[soft vigil]

no shit

this server exists

[trim bramble]

[arctic niche]

i have to lock in next year for my comps

i can get a 24/25 on the amc trustttttt i just need better time management

[soft vigil]

8, 10, or 12

[arctic niche]

8

i'm in seventh :/

[pallid tundra]

how have those been recently difficulty wise

[arctic niche]

i got 19 this yr which is a big step up

[pallid tundra]

the last one I took was in 2017 😭

[arctic niche]

not that bad

once you learn the topics

[pallid tundra]

nice

ik a lot of other contests have increased dramatically in difficulty since I last took them

[arctic niche]

but i consistently got in the 20's on practice tests

[pallid tundra]

has the same happened for the amc 8

[arctic niche]

oh not that much

you can still go back to previous years

[pallid tundra]

nice nice lol

[arctic niche]

2002 was insanely easy but other than that all the years are abt the same

[pallid tundra]

my highest score was a 22 iirc

[arctic niche]

thats good

[pallid tundra]

and yea it doesn’t really get hard until the last five

[arctic niche]

yeah ikk

[sleek ivy]

Yea literally

[topaz mist]

What's nice though is that, I believe, for example, tech companies are evaluating more and more technical skills and less where you learned them
Kinda niche but it can also mean that learning maths could always be a plus in those fields at least, no matter where you're from

Also maths are cool so its another big plus

[sleek ivy]

Yea fair enough

Still gonna try and get in the best uni I can tho

[topaz mist]

You know what they say, aim for the stars so that if you fail, you'll land on clouds
Or something like that

Don't worry I have faith in you mate

[soft vigil]

You should not care about amc

8

Amc8

[pallid tundra]

<@&268886789983436800>

[topaz fiber]

Is that how the amc numbering works?

Like amc 9 for grade 9 students, amc11 for grade 11, 12 for 12 and all?

[shadow herald]

Question, what are the rules here? Basic math competition rules or something more

[pallid tundra]

there are only 8, 10, and 12

8 is the catchall middle school level contest

10 is the easier high school contest

12 is the harder high school contest

[pallid tundra]

discuss math competitions and math competition problems, of any level

[ornate blade]

it's based on grade levels yes

so AMC(n) is for grade levels n and (n - 1)

[icy elbow]

I understand the solution (mostly) but how did they find w

[ornate blade]

if you are summing (n choose 5k) you would choose the 5th roots of unity then sum all 5 expressions, and so on

it's really based on the fact that the sum of the roots of unity is always 0

hence you have 1 + w + w^2 = 0 for both the coefficients of nC1 and nC2, if w is a 3rd root of unity

[pearl holly]

Hey y'all!
Got any advice to start with comp. math?

I'm grinding prealg as we speak

even though im in grade 11 :PPPP

I just want to strengthen my math background for fun

[soft vigil]

💀

no

its for grade levels <=n

[topaz mist]

I'm starting too, but I guess you could test yourself by doing former exams of the maths competitions you're aiming for
Or any exam if you don't know your goal yet ig

[pearl holly]

Oh? What grade are you in?

[topaz mist]

I believe that the US equivalent would be 10th grade

But I'm clueless too about where to start

Do you know what comp you want to pass ? @pearl holly

[pearl holly]

Australian Math Compet and PMO (Philippine Math Olympiad) :PPP

I am not that exposed to any competition math yet

but I did a week ago since it was a stats comp and it felt like my first math comp

[topaz mist]

Let me google that real quick

Are those national comps ?

[pearl holly]

You can try AoPs and Alcumus!

[topaz mist]

Ok I'll search, ty

[pearl holly]

||You can find some math comp. books online if you just search AoPs books||

||*mostly best to search up "How to pirate books" on reddit||

[topaz mist]

||ok thanks, I promise I won't tell ;)||

[topaz mist]

Oh and good luck btw
National comps are kinda hard

[pearl holly]

Thank you!
Yeah, thats why im grinding and strengthening my math background.
Goodluck to your comp. math as well!

Maybe in the future I'll see you at the IMO 👀

I'd be in college by then HAHA

[topaz mist]

Thanks ! But I don't even know if i'm really gonna participate in one. Depends on school and i've been busy with homework lately : (

[topaz mist]

Hope so ! That would be incredible tho

[pearl holly]

You should participate in one! It could boost your chances getting into a good university both internationally and locally!

[topaz mist]

You're right. Gotta inform myself about comps that my school could offer as a way to start maybe ? But I think I missed one this year 2 days after the end of subscriptions

[pearl holly]

That's okay!
My school doesn't let me join math comps since they only join 1 💀
Thats why im planning on covering the expenses for the registration in math comps for myself (and if the venue where the contest is, I won't join cuz I transpo is expensive and tiring HAHA)

[topaz mist]

And I also have a huge global maths exam tomorrow, every class of 10th grade passes it and I'm getting eaten by stress rn

[pearl holly]

Uh oh HAHA

Its best to start now!

Even with a little bit of effort/knowledge, what matters is that you gained experience

Comp. math is rote memo in terms of solving problems

[topaz mist]

Damn, kinda sad
But it doesn't have to be big at first ! If national comps are too expensive, even local ones are already great i believe

[topaz mist]

True true

[pearl holly]

Well, anyways, goodluck with math comp!

[radiant jasper]

Hi

[topaz mist]

Hello !

[radiant jasper]

Is there someone who will study in maths together?

[topaz mist]

What do you mean by that ?

[radiant jasper]

Study with me

Are u türk?

You nick name look like turkish word

[topaz mist]

Ohhh, no unfortunately I can't I gotta go now

[radiant jasper]

Np

[topaz mist]

Does it ? 😂 Not meant to be but funny

Gl then !

[radiant jasper]

Thnx

[topaz fiber]

This isn't exactly competition math but did anyone here apply to PROMYS india?

[edgy moon]

My best win was like, the French olympiad

I'm not French tho

[sleek ivy]

do yall know any good math comp yt channels or lectures

[topaz mist]

Can you tell me more about it ?

[knotty quiver]

@knotty quiver

[waxen olive]

roots of unity filter mentioned

[marble heron]

https://media.discordapp.net/stickers/1312839418545176680.gif?size=160&name=IMG_1890

[weary mauve]

Idk if I’m crazy but looking at that problem reminds me of gauss sums

[little patio]

what can i do to study for australian math competition

to get like high distinction

its in like august but i wanna know so even if i procrastinate slowly ill do better

[pearl holly]

You're participating in the AMC, too?

[little patio]

yea

what division u in?

[pearl holly]

Hope its not too personal.. what country are you from?

[little patio]

idm

new zealand

[pearl holly]

Gonna jump directly to the Grades 11 - 12

[little patio]

o

im doing grade 10 one

[pearl holly]

I have no comp. math experience prioor LOL

[little patio]

I did it last year to

well 9 and 10 is the same thing

[little patio]

u dont really need it its kinda easy (imo)

i got distinction last year but thats top 20%

high distinction way harder so i want that and i wanna study

[pearl holly]

I'm still gonna strengthen my math background for fun haha

[pearl holly]

Well...

[little patio]

for u its 25% distinction

[little patio]

o

[pearl holly]

For the intermediate books.. uhh AoPs books and other Olympiad-style books

[little patio]

thanks bruh

[pearl holly]

ywyw

goodluck on the amc!

[little patio]

u too

oh wait

im sitting icas too

i guess that advice will work for both

[tawdry vector]

Which competition are U people talking about

I wanna join too if I can join please bruh

[deft wraith]

Are you in high school

[pearl holly]

https://www.amt.edu.au/amc

[weary stone]

,iamnotstudying

[gilded halo]

Removed the studying! role from you.

[bold hemlock]

Idk if there is any other way to get better

You can try some other national olympiad or junior olympiad

You can ask people who do French olympiad what theory is useful

[topaz mist]

Yeah but I don't know any tbh

[bold hemlock]

And you probably should learn angle chasing for geometry, induction, pidgeonhole principle, and invariants(Idk if Im writing in correctly in english it is not my first language) for combinatorics, and modulo, Fermat's little theorem and Euler's theorem(the one that is the generalisation of Fermat's little theorem) for number theory

[bold hemlock]

I won't tell you how hard is your olympiad

Because I can't find the papers lol