#competition-math
1 messages · Page 7 of 1
I want to go through quant trader to then become quant portfolio manager
they have different rotations when you intern so you get to experience strategy and other roles
anyway i'm procrastinating my optimisation problem sheet that i really don't wanna do so i'll probs actually start on that now!
glhf
no hf
lol
it's utterly boring
btw, you sure you don't want to make a quick buck and then do something less draining
yeah I wouldnt mind that, but when Im actually working and not an intern I want to be in the part that makes the money
good luck ly feel free to dm me that recollection of int questions when you get the time
I really enjoy the maths behind it, so i dont really mind, these are just my thoughts today and Im only in y12, so things will probably change
can you send im curious to see what it looks like
i think theyre available online on the website
in general u can find all of cambridge's problem sheets here
Where the fuck are the numbers
linear programming 🥲
sets sets sets
do u wanna apply cam too?
Yeah, st johns probably
ah ic
apparently the foods good there
and also the head of maths at st johns came to my school so he biased me
tries not to say anything about British food
the battle of lesser evils
if its the least bad one
then why not
its like 2-3 for math anyways
the guy was shitting on trinity too
ewww trinity > johns
we beat them at basically everything

like what
the only thing johns does better than us is losing
he said theres alot of smart people at trinity but also alot of dumb people 💀
idk where hes getting this info from
ahaha
trinity often have like quite a lot of the top 10 for maths
ofc there are ppl who aren't that good but like u'll get them at most colleges
He also asked us "When I ask people why they applied to st johns instead of trinity what do you think is the most common response", I said because they thought they would get rejected from trinity
was funny experience
LMAO
I feel bad too me and a friend kept him in school until like 6 o clock, he was meant to leave at 4:30 😭
at least i learnt quite a bit
really nice guy too
dr dorrzapf
i heard the food is best at emmanuel
senior wrangler was from johns this year sooo 😆
competing for the best cafeteria lol
I wonder how hard getting senior wrangler is
The shit that really matters
2025 SW is definitely gonna be trinity
this is the competition wtf
sitting hte GCSE when he was 5 years old is the wildest thing Ive ever heard
the funny story i always get told abt him was that
he really wanted to do IMO
but wasn't good enough to make the UK team
anyway through some really obscure connection he managed to get on the bolivian team or smth like that lol
Do yk what medal he got
u can find him on the IMO website
oh yeah
bruv
now hes in a uni in northern cyprus
bro he did all that
OH WAIT
he teaches at a turkish uni thats so cool
Im turkish
merhaba
nasilsin
That means how are you
learn something new everyday
Johns is the maths college ngl, Churchill also really good for maths, close to maths blocks so lots of cracked post grads there
Dont think LY agrees with the first statement
Honestly i dont care that much about the college, obviously I would rather be in some than others but as long as I get in to cambridge Ill be happy
how do you guys all know so much about Cambridge
yes i know haha
and 2020 probably wouldve been neel nanda who is also trinity
do you think there was a significant difference between the way you worked and the guy who ranked at the top of ia did? or was it less clear cut
i'm not that familiar with the guy who ranked top of IA in my year
i am very familiar with the guy who ranked top of IB
but yeah in general the ppl at the top just work really hard
bruh lol
trinity is definitely the maths college
that's the first time i've heard john's described as the maths college?
normally ppl asssociate maths colleges with trinity
asw as queen's and churchill
Ive seen alot of people online mention johns for top 3 maths
Which one has the best parties
Tbh, you'll meet people from all colleges. Focus on which college has the best facilities and rooms.
im talking about all this but watch me apply and get rejected next year 😭
Johns hosts the domestic maths competitions?
Has it's own maths soc
Also most maths people from camb I know are from Johns
so does trinity
imo and ioi camps are held at trinity so most competition people will be familiar/ probably apply to trinity
Even so, all are good choices
yes johns is really good
Trinity and Johns probably best two, but if life outside of maths is also important, then consider other colleges like churchill
which domestic maths competitions? i never knew abt this
Are you applying now? Or applying next year? Because if you're applying next year then you have lots of time to grind and boss the entrance exams
Integration Bee
ICMC
ICMC wasn't held at st johns last year
qualifier was surprisingly held at caius
integration bee is at oxford now i think
because vishal has moved to do his phd there
but johns has that prize for doing well in step which is good
the integration bee was held at the CMS when i did it last year
Fairs
but yeah i'll take ur word that they held maths competitions in the past
I mean when I went to the finals it was in johns that's all
honestly adding to this, don't worry too much about which college u end up with
i will semi-jokingly say that trinity is the best college but like most ppl will really love the college they end up at
i think trinity has quite a good maths culture if ur into like doing well & like olympiad-y stuff
but like u'll do plenty well at the other colleges too
Yeah culture is important
Hard to grind if you're surrounded by people who don't grind
also up to u what ur looking for in a college
trinity & johns are stacked so they have lots of money for bursaries etc.
and then also trinity usually has ~30/40ish mathmos/year
on one hand, having lots of mathmos can be quite nice cus u have lots of ppl to talk to abt maths
but some ppl prefer having like a smaller community for maths
Idk if this got answered but it's essentially requiring a proof that the only functions that have the additive property are lines:
$y=mx$.
The logical first step is to set $x=y=0$ which shows $f(0)=0$. But this unnecessary.
First look at $x=y$, which shows $f(2x)=2f(x)$. You can then do the same setting $y=2x$, which shows $f(3x)=f(x)+f(2x)=3f(x)$. You can then repeat this inductively to prove $f(mx)=mf(x)$ for integers.
You can likewise show $f(qx)=qf(x)$ for all rational numbers using the above:
$f(qx)=f\left(\frac{m}{n}x\right)=mf\left(\frac{1}{n}x\right)=\frac{m}{n}\left(nf\left(\frac{1}{n}x\right)\right)=\frac{m}{n}f(x)=qf(x)$.
Now for irrational numbers I'm not sure how you'd prove it other than using continuity of f.
Then just use the fact that $f(1)$ is a constant so we let $f(1)=1$. So $f(x)=xf(1)=cx$
Max
in general it's actually not true
if we take R instead of [0, \infinity) then it's not true
but i suspect you can probably extend our function [0, \infinity) to a R->R function
and then monstrous counterexamples to ^ are dense in R^2 so therefore must be linear
Hmm yeah, I wonder if there is a nice way of showing it works for irrational
I remember from analysis we proved the power rule in a similar way: integers -> rational -> irrational
I suppose we can use the following (where q is rational and r is irrational):
$f(rx)=\lim_{q\rightarrow r} f(qx)=\lim_{q\rightarrow r} qf(x)=rf(x)$
Max
whats the most accurate mock for amc12, especially for the first 15 questions
Best Problem in IMO History
next year
you can find mocks on mathdash
Hit the grind bro, you'll get in if you grind from now
help me atleast give me some hints
Convergence?
Convergence or evaluate
Hopefully, as I said before I already started grinding for STEP to enter a year early, it’s going to be a very tough journey but I’ve been putting in the hours and I believe I’ll be able to get 1,1 or higher
evaluate
an interesting pattern arises with the partial fractions
AMC trivial
gives past papers of AMC tests
I haven't tried it but it looks like partial fractions and then using telescoping. Perhaps try find an inductive rule for partial fractions?
whats that inductive whatever
okay i got it
You got the answer?
Lord! You are in Cambridge! That too at Trinity! I'd die to be there!
Ig use (n-1)! = (x+n)(n-2)! -(x+1)(n-2)!
Yes this works
2^182 + 4^x + 8^700, what is the least position integer value of x that makes the above equation a perfect square?
anyone got an idea? i got 571 using a weird comparing parts of (a + b)^2 , but i don’t know if thats the lowest value or correct.
It’s right
And it’s not weird
was a little weird to me, never tried it before
and thank you
Cube
Gamma function son
Is the answer a function?
Bro i also want to get admission in trinity college Cambridge can u please guide me a little
oh congrats you found LY
for context this is where my discussion with them started
ahaha i'm just the trinity college cam helper
i'll read #serious-discussion first and then i'll reply to this
basically just do a lot of maths
i'm not sure how entirely the indian system works
but basically as long as ur school grades are good and u should get an interview
(i believe they're scrapping the personal statement for 2025+, not entirely sure what replaces it)
(but whatever the replacement is, it won't be particularly important for maths applications)
different colleges will have slightly different interview processes
I've answered that part, don't you worry
ah kk
for trinity college, they have a 10 question test in an hour slot before ur interview
and then you get your 45m interview where you go over the questions you did
I wanted to be honest with them, so I told them you can't guarantee an interview, but you can only maximise your chances
damn, did my time helping secondary students really pay off
with uni and careers stuff
ahaha lol
i'm not entirely sure what it's like for international students, but generally with cambridge it's quite easy to get an interview for maths
if u have top grades and ur p.s. isn't bad then you'll almost certainly be interviewed
do note that for cambridge maths, the interview is not the final hurdle - you have to do STEP afterwards too
oh that's nice, I somehow had the impression they were stricter than Oxford
their entry requirements are just a tad higher
cause for Oxford if you do amazingly on your interview, it doesn't matter you only have say A* A A
talked about STEP with them too
but yeah feel free to add more detail about that
I didn't talk about it that much
i think with oxford maths vs cambridge maths, it's harder to get an interview at oxford because you have to do the entrance exam beforehand so they are a lot more picky about who to interview
only gave them a link to Cambridge's site which has a ton of advice
oh interesting
yeah the MAT for Oxford
wait do you have to do STEP before you submit your UCAS application
or not
whereas STEP happens after interviews so it's easier to get an interview and an offer from cambridge, but roughly ~1/2 the ppl who get an offer from cambridge fail to get in cus of STEP (whereas basically everyone with an offer from ox gets in)
you don't have to do STEP before ur UCAS application
some very good ppl who are confident they can get i.e. SS one year early will do STEP 1 year early so it doesn't clash with their exams
but if you are not confident in getting SS 1 year early then i wouldn't recommend doing so
sorry bro my wifi got shut on its own.....
aha nw
i just got it fixed
i probably won't say too much abt STEP cus u've gotta get an offer first lol, but generally with STEP i kinda find it kinda boring
you've just gotta do a lot of algebra so it can be a bit dead
but probs best to properly practise that after an offer rather than before lol
is olympiad necessary
oh right yeah STEP is mad hard
nah olympiad isn't necessary
i'd say with olympiads & uni applications
it's more that the ppl that do really well on olympiads often also do really well in maths in general so ppl at good unis often tend to do well on olympiads
rather than olympiads => good university
but you can be brilliant at maths without doing a single competition
it's more so that the people who tend to be good at maths also tend to do competitions
but i think doing olympiads can be a good experience, especially if u don't have that much experience problem solving
it's a sociocultural thing rather than some marker of talent
so if u don't really have much to do it's defo worth doing them
trinity is often quite known for having a load of IMO and other international oly students lmao
idk what 11th grade is, but like u can do STEP whenever
it's just there isn't a benefit to do so unless u think ur gonna get >= 1,1
(actually i personally would not advise doing step early unless you think ur gonna get SS, cus if u think ur gonna get 1,1 and u end up getting 1,2 then it doesn't really contribute anything)
if i get a s then ? will it guarantee my selection...
just asking...😀
i am an indian so will i have to give ielts?
as in if u get SS it just means they won't give u a STEP offer cus u've already met it
actually i'm not sure how doing STEP early affects interview selection
but if ur grades are top then u should get an interview
idk what that is
are interviews hard ?
trinity have some sample interview questions here
no worry
they say that if u can solve >= 3 questions in the 1hr timeslot, then u have a decent chance of getting an offer
but like probably best to be able to solve like ~5ish
u get to talk about the problems in the interview too so if u solve ~7 after the interview i think that's normally pretty good
except it might be harder for internationals so i'm not too sure
is there any kind of book which can make me good at these kind of questions
probs do olympiad practice, that's quite nice
u said u were grade 10?
yes
ok according to google that's Y11
u've got like ages
make sure ur school grades are good
i have cleared 1 st stage with 2 days of preparation of mathematics olympiad
but i dont like giving olympiads
then probs just do like maths olympiad stuff cus a lot of the skills are transferrable
u could also look at the MAT, that's quite good too for practice
can u help me what is a personal statement
(Oxford's entrance exam)
u don't need to worry about that, they'll have axed it for ur year
idk what they're replacing it with though, so u'll have to ask someone else about that
yeah search up "UCAS personal statement 2026"
there's probably a UK university discord server?
I already gave you that link also from UCAS
no i mean what will i have to write in it
like beside my passion etc
and then u can also do some STEP questions as practise ig? but i think the links i gave above are more relevant
as in there will be no personal statement for when you apply
i don't know what they're doing instead
i know they're also running a series of webinars regarding problem solving
not entirely sure who it's targetted at
hmm it says that it's aimed at students who have applied to cambridge this year so maybe it's a bit early
but anyway i will be there for some of the webinar sessions
it's a big jump compared to school maths but if ur prepared no not really
i am very bad at social science will they consider my marks in it ? besides mathematics....
then it is gonna be fun.....
oxford maths have all their courses publically available so if u get bored of prepping for interviews u can also work through some of the stuff there
only you will know what's fun for you
if you open the links and read, you'll know
well ok so for a level, they don't really care about non-maths grades, but i'm not sure what it'll be like for internationals cus idk how international exams work
probs best to speak to an international about that
but probably not is what i'd say
as long as it looks like u've put in effort
also i'm gonna go to dinner now and then i've gotta do my problem sheets
i have completed basic calculus.... but i suck at number theory
Not much number theory at A-level
I know for European Bacc students, Cambridge expects you to study extra outside of the course because it doesn't cover enough maths content
But just email to ask about ur specific course
u mean extracurricular
Yeah
i was going into national taekwondo team last year but my bone got fractured.......
hehehehe.......
the problem with Indian maths is not it doesn't go into depth, cause it absolutely does
it's that it's too braindead 
that's a flex though
I've never heard an Indian person say they wanted to represent their country in sports
your country's Olympics record is terrible, which sucks
yess u are right
my father was a athelete so he wanted me to play
an*
do u think indian maths gonna help me with step
yeah
what a flex
no, there's only pure maths, mechanics, and statistics
a lot of these questions are Googleable you know
i did chat gpt but dont get a good answer
i was just wondering are u in oxford ?
nope I go to uni in Australia
not chatGPT cause it doesn't know anything
it just generates an answer based on the most likely next word
so you can definitely make it far in life without going to an elite uni
I go to a very ordinary uni (that is in the top 100 by QS rankings, but what does that even matter)
u tried for cambridge ?
I'd say your character as well as making the most of whatever opportunities you have is far more important
I didn't bother
do u think it would be good if i do any extracurricular ?
yeah, just to help your personal growth and stuff
it's not necessary for your personal statement though, for the UK
yeah
okay but I'm not obligated to respond to anything, just saying
no worry brother.....
No way?
hello people
Hi guys, I have SEAMO Math comp next week and I really need someone to help tutor me a bit 🙏 (grade 9)
sure but im pretty swamped so ill try
i think there are SEAMO past papers on AoPS, try searching there, just dm me for clarifications or questions
yuh
merhaba
Hi, does anyone know how to make 8 in power 2023=1489(mod2017) into 8 in power 2023=c(mod2023)?
,w is 2023 prime
so the approach would be to find 8^2023 modulo 7 and modulo 17^2
then use the Chinese remainder theorem
this might help for the modulo 17^2 part
in other words, forget about 2023=1489(mod2017) completely
Thank you very much, I have one more question, what "method" is best to apply in this example "at what A 31 divides (3 ^ 3 ^ A ) - A"
ohhhh, for which A does 31 divide 3^(3^A) - A right?
yes
hmmm
yeah now this question should be an application of Fermat's little theorem
so $3^p - 3 \equiv 0 \pmod p$
south's secret twin brother
ok, ty anyway
Cube
what's the answer? the result doesn't look neat
how much harder is amc12 2020-2024 compared with 2015-2019?
Depends what is hard for you tbh
much harder tbh
2015-2019 is light
compared to 2020-2024
although 2024 was a bit underwhelming according to popular opinion
I don't remember but I do know that you had to use symmetry
if the roots are $p$ and $q$ with $p<q$, you want $p/q$ so you consider the sum $p/q+q/p$
Cube
And then you can sub accordingly
How much harder is 2020-2023 harder than 2010-2013?
A LOT harder
Oooof
for example 2012s amc 10 hardest question (25) is Real numbers $x$, $y$, and $z$ are chosen independently and at random from the interval $[0,n]$ for some positive integer $n$. The probability that no two of $x$, $y$, and $z$ are within 1 unit of each other is greater than $\frac {1}{2}$. What is the smallest possible value of $n$?
Ryxo
2022s is this
Let $R$, $S$, and $T$ be squares that have vertices at lattice points (i.e., points whose coordinates are both integers) in the coordinate plane, together with their interiors. The bottom edge of each square is on the $x$-axis. The left edge of $R$ and the right edge of $S$ are on the $y$-axis, and $R$ contains $\frac{9}{4}$ as many lattice points as does $S$. The top two vertices of $T$ are in $R \cup S$, and $T$ contains $\frac{1}{4}$ of the lattice points contained in $R \cup S.$ See the figure (not drawn to scale).
Ryxo
They are both hard but one is a lot harder
Also the 2022s regular questions are harder and trickier as well
Lol
what?
what math competition ar u doing?
amc 10
SAME
Yo we all doing amc 10
I havent ever taken a full amc 10 mock test, only did a few questions to test myself for like 30 mins
yea
Ima give myself 60 mins rn with a mock amc 10 test and see what i get
someone send me a mock amc 10 test
rn
i mocked like 130.5 like yesterday
u can do a real one
ill send u what i mocked
2023 i already saw rhe questions
oh
then do 2016
Ahhh ok
gl yall ima do it rn
why 60
40 mins only though
its 15 extra
what grade are u guys in?
9th for me
same
yes
chinese?
no
8th, im guessing i’ll get a 85-90
dang
solid did u do the AMC 8?
ur doing amc 10 early
Imm going to
No
its very easy so make sure to do try it
Im competing with my friend, by amc 10 comp time i should be able to get a 95+
thats good for 8th grade
yea
did u do the amc 8?
did any of u guys do mathcounts?
nope mathcounts
did u get reigonals?
bc in our regionals (this is uncommon) it was top three teams that whent to state
and my team was absolute trash cause I was the only asian there
oh? what is it normally
I got 6th place outta 100 something
top 12
if they did that I wouldve got into state 😭
Ipad ran out of battery when i was doing it lmao
💀
yes
I’ve taken amc 8 before
what did u get
I get like 16-18
Is anyone taking the CSMC
u still have room for improvemnt
aim for like 20-23 in the amc8
thats like good
I’ll study a ton so i get 100 on amc 10, just watch
yes
but u have so much room for impovemnet
This is the video series for the free Mastering AMC 8 book available at: https://www.omegalearn.org/mastering-amc8 The book covers the most important concept...
whatch all of this videos and learn them
i’m already watching amc 10 fundamentals from that dude and i can understand it so uea
ok good
ima just keep watching the amc 10 fundamentals
but make sure u actually like do amc 8s
like mock them
like for me, I mock a amc 8 as a warmup, math leauge, amc 10
if u want to get like 130+ then u have to get like 25/25 in th amc 8
do u want me to dm u?
well i gott abalance my time
as an 8th grader i get roughly 2-4 hours of homework a day
i come home at 3:20
damn thats a lot when i was in like 8th grade I had like 10-30 mins homework
bruh
For me in 8th grade, i did my hw right after school, did some coding, worked on like physics, then worked on some amc 8, and amc 10 mocks
My work ethic is really bad
Because i dont like school
How do u only get 10-30 mins
I also actually have an amc 10 class online from aops so thats more work i guess
yo thats very good
because like our school was like light
bro
im on lesson 3 and it destroyed me, left me brain damaged lol, gotta study a lot and go over the lessons while doing homework
of the aops thing?
well if it makes u feel better that would be tenfold if you were self studying
like the brain damage
trust me bro
I know what im talking about
I’ve self studied a ton
the brain damage is less because there is no time pressure
mathcounts mentioned 👀
I remember my MC days lol
barely missed nats qualification on my last go 😔
That sucks 😭
Majority of the fun is at nats
yo what did you guys think of the senior math challenge?
not really
Guys one of my friends said that that we should do this challenge of trying to get banned from random discord so can one of y’all banned me
Why choose a discord with 229k members?
Cause I felt like it
just do lots of problems lol
begin with like more basic/easier problems
and then eventually make your way up to harder problems
that's generally the best thing u can do especially if u're like just starting
cus u'll be able to find lots of questions that don't require any advanced theory, just like basic rearranging etc. tricks
what's 11th grade? is that like Y12 or Y10? i never remember how to convert US to UK
but anyway i think one piece of advice is to not be too scared of hard questions
be ambitious with ur choice of problems, if you think u can do problems of difficulty $x$, try problems of difficulty $x + \varepsilon$
LY
(obviously you can also be too ambitious, like if u've never done an olympiad problem don't start with i.e. IMO P3/P6s lol)
once u've gotten some basic problem solving skills you can then start trying to learn theory
how to balance math studying with 2-4 hours of homework a day
what grade are you in?
8th
jesus 8th graders shouldn't have that much homework
yea apparently theres a school policy or whatever for 1 hour of homework max a day
but teachers apparently cant understand that each student has 6 other periods
so uh
meh
technically it is like only 1 hour of homework, but all my teachers make you do classwork as homework if you’re not done (and the classwork is like way too much to complete at school)
so it adds an hour or two
I could probably reduce it to only ~1 hr 30 mins of homework a day if i complete my classwork efficiently but my work ethic is too bad for that, i work much more efficiently at home than school lol
How to improve work ethic
Half my brain is telling me to work while the other half tells me to sleep
Is it actually 2-4 hours or is it 2-4 hours because of inefficiency? I have a look at assignments and think this will take me hours and it ends up being like that because I went in with that mentality, now I go in thinking this should be done in no time e.g. 30 minutes and I use a stopwatch to track my progress. I've gotten a huge boost in efficiency just from that small change
My bus ride and lunch periods are exceptionally long so if you also have those consider eating your lunch then starting your homework because that is what I do
Work ethic sucks
How to convince myself to do homework as soon as i get home
I'm not really sure
You can view doing math as the reward for your diligence and your resolve to complete your homework I guess
I dont view math as studying or a reward
Why u do it?
No
damn
You know aops?
yes my favorit
Uh so I’m in they’re online amc 10 and amc 8 classes 4/7 days of the week
Its a loooooottttaaaaa homework
I personally just read the books which allows me to move at your own pace
But do you even like math?
yes
Then why don't you view it as rewarding after finishing all your homework?
because im getting overwhelmed
I can see that :/
after this month is over my view of math will return
I knew I would probably grow to get tired of math during this month that was a sacrifice i was willing to make lol
Well when you finish these courses consider independent study
that explains it
After this doing an hour of math randomly will feel normal
you should go take a damn break after doing those classes
jeez that's a ton of work
yes
its a lotta work
this is how people who hate math feel when they enter math class
probably
Actually I hate math class, in school
Its probably my least favorite class in school
I personally try to get as much math as I can done, but If I am messing up my school classes it's harder to get the motivation
So if you want to feel less pressure and have more time consider putting more effort into your classes so you like them more
No wonder so many kids hate math
Meh this wasn’t just for math. It was to train myself for excessive overload
Math is one of the only subjects that requires deep critical thinking so some people if they don't put in the effort now, they will be behind forever
A bad side is it is also a subject that can be conquered just by rote memorization the way schools teach it
schools don't teach comp math
True. But you don’t need to understand. You just need to memorize
i have the same mindset for that
As math classes get harder in the school system, the quota for critical thinking rises
Exactly. But the way they teach it in schools, you can get away with pure memorization.
When the time that critical thinking is required, they are not ready yet
In calculus, the problems will not be nearly as straight forward
that's the worst part
they don't favor critical thinking
just memorization of rules
and formulas
When I don’t truly understand something in math idk why but i AHVE a mental breakdown
I feel like if i dont try to truly understand that it’ll come to hit me later
i can relate to that
its like if i dont understand why that formula works im probably going to do a lot of works to derive it
Well when you do comp math for long enough and you learn something, you start to get ahead
Right now im really stressed about work after this is all over, I can probably withstand work stress a lot better
I’ll AHVE to spend a lot of time on weekends doing my aops homework lol, sacrificing my halloween month happiness. But in the end i know it’ll pay off and thats my motivation
Just remember: when you're in class, put in the effort then so you can relax about you aops homework later
I also have a big science test coming. Idk how im gonna survive it lol
If you peform well in actually school, you'll have higher self-esteem and time going into your aops homework
Its a ton of aops homework, and it hurts my brain. The homework is hard for me
But thats how I’ll learn. So i just push through
yeah
Today i hav a lot of aops homework to catch up on, prob AHVE to spend 3 hours
Honestly i look forward to having the classes. The classes itself are interesting
But the homework is overwhelming, its tough for me to do
Sometimes it's best not to think of work as something to just push through and get over with rather you should try your best to enjoy it; if you don't, you will lack consistency.
Also take breaks
That's very important
Every 30mins to an hour
Yeah, before these classes i study math for fun not for learning really, i always viewed math as something fun
Take a 5-10 min break
Great
But again, if you aren't already take periodic breaks because it helps you stay consistent
I’m happy this much aops homework will only be for a month. After that there will only be a little every day. If this continued for like 2-3 months i would probably lose my math passion lol
yikes
I wish schools were good at teaching math bruh
I get they dont teach comp math but still
If they started making students critical think too early they'd all fail
Very simple critical thinking problems how about that
Of course they would eventually adapt but at the start it would be a disaster
I had some last year in my geo class
But usually it doesn
't start until cacl
I’ve had them in my school for a while. But they aint really critical thinking. Its more like slightly harder problems
what on earth is a magnet school
I was thinking that lol
Idk what a magnet school is
they're called that cause they accept out of zone enrolments
yeah idk what that is either
and also, they tend to attract those students cause they offer a specialty
STEM a lot of the time
My math homework is 7 pages long 💀
but there are definitely performing arts magnet schools
tough
Damn in school im algebra 1 and i only get like 2 pages
It's not that bad when you like math tho
Usually takes me around 20 mins
Not necessarily, a lot of it is just tedious for me
😦
you will miss the days when your homework is "complete the square" and "match the graph to the options"
trust me
If you don't like math, face my wrath
Its not their fault. Its the school’s fault
this is true a depressing amount of the time
if only schools taught better
Yeah but 95% of math students are twigs for obvious reasons
the whole reason why you can learn so much maths online
is cause grade school maths education sucks ass
Its not that I dont like math, doing the same problem with different numbers 10 times isnt interesting
so there's a demand for resources to be made
thankfully my teacher makes it as interesting as possible
agreed the way it's taught sucks
My teacher said school math education is a lot better then coaching and online because the people online just want money/ dont care if you learn or not
discovering the formula and convincing yourself is the fun bit
always finds a way to stump me
I dont really agree
oh yeah that's a whole other issue
Its kinda true
charter schools and deregulated education
but school math education sucks
make the quality of teaching worse
public schools don't have resources so they can't compete
Afterschool programs and coaching want you money. Is that true?. Yes
But that doesn’t mean they don’t offer quality teaching
Honestly for me it doesn't that much, sometimes as I said the homework is tedious but my teachers do manage to make it really interesting in class
yeah I mean some tutors are really good and really experienced
They’re whole basis is off teaching math. They specialize in it. Why would they not be good at teaching math?
but there shouldn't be as many tutors as right now
especially those that promise parents their child can leap ahead of the competition
Teacher went on a 5 min rant about how just because we take afterschool classes and coaching doesnt mean we will succeed in school because school math teaching is much more detailed, coaching and afterschool programs just want ur money and make it easy on purpose so you stay or something
a lot of tutors are university students
you can't really say they exactly specialise in maths
why not just use free services like khan or yt
Yeah but afterschool math programs
oh wait I see what you mean by they
or sail the high seas 🏴☠️ and get some quality textbooks
School math teaching is better than khan. Khan is overrated for teaching math above pre-alg imo
yeah if you organise an afterschool maths program you're usually pretty experienced with pedagogy and stuff
I used khan to study a lot. But on its own, it cant serve as a math education
depends on how professional it is
high schoolers could organise one and many do for ECs
It simply doesn’t offer the critical thinking, and the courses are not as detailed.
It can, but it doesn't go into sufficient detail
but I think you mean those teachers or former teachers who do that
in which case, yes, they are a treasure trove of knowledge and experience
If you self-taught geometry with khan you would be missing a lot
yeah Khan only does coordinate geometry most of the time
if you want to learn Euclidean geometry.... rip
Circle thereom hurt my brain
what's geometry?
agreed but the situation for a lot of students is that online/KA is their best option
cause school sucks so much
💀
search
Idk what my math teacher was talking about. School math is definitely less detailed than afterschool programs
concrete topology
study of shapes and figures
exactly like it helps if everyone in the room has interest in maths
Like bruh. Just because they are making money from you doesn’t mean they’re making it easy on purpose or something
also smaller class sizes
🤓
A lot of afterschool programs just teach the standards from another country but in the US
and their standards are a lot higher than the US
Only math people understand what it truly means to be sigma
Sure
Lock in
If you're not doing math while writing a message you should leave this server immediately.
I remember when i was trying to sleep
you were trying to do math
no
I had a very bad dream it was like i was going crazy about math not in a bad way
there was something i was really confused about
it was like 1 + 1 could be reversed or whatever to equal a few billion
dreaming about math is some crazy stuff
It obviously doesnt make sense now but i remember how stressed i was lol
I felt like i was going crazy
😦
idk how
idk what i was thinking
but it was like the world of math could be flipped over
Well you should try lucid dreaming about your homework while you're sleeping so that you can be efficient
aphantasia : (
p-adic numbers moment
who came up with that goofy ahh name
p-adic absolute value of a sum of integers is always bounded above thankfully
oh yeah the triangle inequality holds
yeah that's true too, but what I'm referring to is the fact that it's nonarchimedean
ah okay I see
yeah it just didn't click what non-Archmedian meant, thanks
yeah, the two things are pretty closely related
i just didn't do a level maths hwk lol
they never checked it so i mean i was good enough anyway lol
not doing the same question with very slightly different numbers
xonks
The previously very hard problems are becoming easier and easier for me. I’m learning! This feels amazing
yea i got into one but i didnt go
no.
fr
casperoso we were testing lol
it's also against the rules so lord pls stop
i promise nobody will want to join it if it's advertised like this
ok
What the hell is AoPS
"art of problem solving", math contest forums
imagine doing comp maths without ever hearing of AoPS
Year 12 in the British system
which is Year 11 in Australia
confusing
ah k ty
i see ur already in MODS
if u don't mind me asking which country r u trying to represent?
bcus if ur country's somewhat competitive then it's really unlikely for someone to get into IMO if they haven't already done olympiad stuff
so like i'd suggest not obsessing over getting into IMO and just trying to enjoy the process as much as possible
like u'll have new challenges when u get into uni
cus it's like the less u stress abt it, the more likely u'll get in lol
also won't u get another year if ur 11th grade?
anyway do problems
you've gotta have a problem solving background before you can start learning content
the trap to fall into is trying to cover all possible content i.e. lifting the exponent & zsigmondy, projective geo, overkill graph theory thms etc.
before being able to actually solve basic problems consistently
so basically yeah u just have to start solving problems
idk what round 1 for u looks like, but basically if it's like beginners level then there's no point learning a bunch of cool stuff if u can't apply it
start by being able to solve like the basic problems consistently before trying to learn more advanced theory
(assuming u know stuff like pigeonhole principle etc.)
Guys
I need help
Should I start learning about generating functions for combinatorics
whats ur level right now?
yeah if ur olympiad level you should learn it
I wanted to know
If it is more effective or not
Instead of traditional methods
wdym
yeah it makes casework and things like that easier
there already is one in existence
btw are your dms open, wanted to ask a question or two about cambridge
yeah
ok doesn't look too competitive so u might have a chance
what's RMO?
as in like you shouldn't really think of it as "you have method X and method Y, and method Y is strictly better than method X"
think more as "currently i only have tool X, if i learn how to use tool Y then i can use tool X and tool Y for problems"
grind
That's how I could describe
unfortunately i am not a yankee so this comparison makes no sense to me lol
1 sec
Huh
oh ok fine
yeah it'll be valuable just learning what it is
sometimes generating functions are quite useful for particular problems
Hnm Ic
https://www.youtube.com/watch?v=bOXCLR3Wric this video in particular is quite good at highlighting why generating functions can be so useful
A lesson on generating functions, and clever uses of complex numbers for counting
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share the videos.
Special thanks: https://3b1b.co/lessons/subsets-puzzle#thanks
Artwork by Kurt Burns
Music by Vince Rubinetti
Nice writeup and video g...
I have seen this
cus you treat it as a polynomial, plug stuff in and it tells u stuff about our original problem
But like I wanna know
How do u make one
For a particular situation
anyway u mentioned that ur starting off ur maths oly journey?
for that i'd recommend to first get comfortable solving like easy problems
cus as i mentioned above, there's no point learning fancy tools if u can't use them
just grind out like easy-ish oly problems and then step it up from there
there's probably some resource on generating functions somewhere
imomath is generally good so that's probably fine? haven't actually used it myself tho
nw
For all real numbers a,b,c⩾0
such that a+b+c=1
, prove that 2⩽(1−a^2)^2+(1−b^2)^2+(1−c^2)^2⩽(1+a)(1+b)(1+c)
and determine when equality occurs for each of the two inequalities.
Any idea
Been stuck for a hour
hmm
i see the squares so it looks a bit like cuachy
a really really dumb solution is you can homogenise ur inequality with a+b+c=1
then expand and ur done by muirhead/AM-GM
After expanding its turning into a degree four equation
And if I try writing in terms of a+b+c
There are other unwanted terms
yes
cancel everything out and ur left with something nice
Lemme try
as in show 2(a+b+c)^4 <= ((a+b+c)^2 - a^2)^2 + etc.
it's a really dumb sol but it does work
What about the equality part tho ?
expand everything first then solve lol
Alr
Could I have a hint for this problem?
try writing m = kn
Is there a book which covers everything required in STEP?
With STEP as it's focus. And if one can do STEP one must also be able to do MAT no?
There is a book by Steven Siklos but it's more like a problem book
You can find the STEP specification online, for the pure content STEP II is roughly A2 Maths and AS FM, for STEP III it's A2 Maths and FM with a few extra things i.e AM-GM
For stats and mechanics you may have to pick and choose certain topics from FM1/2 and FS1/2 (Edexcel)
Have it, but I was asking for a proper book.
You sure? I remember STEP 3 being most if not all FM
For your second question probably, but not necessarily, the style and timing is slightly different. The problem solving skills and intuition helps a lot
Don't think one exists
That is what I said
You said A2 maths, doesn't that mean y2 normal maths, or am I misinterpreting?
step discord server is probably more suitable for step questions
it's really just a level content i think the main part is problem solving/ doing questions which there are loads of
thanks 👍
basically just A level, so if u know a level stuff u'll be fine
the problems are a bit boring tho, a lot of algebra bashing
but just do problems and u'll do well
MAT is more fun imo
Is a year enough? Like if I do have a brain.
It's easier no?
ly did you only do pure questions on step
ig so?
some stats occasionally
cus the stats is sometimes like trivial
no
i was good enough anyway so i didn't learn any additional content
but some ppl have recommended learning further stats cus the stats is normally like quite easy
yeah i mean just grind out problems
if u studied a levels then u'll know all the content, so just grind
In which month is it held
the main thing with STEP is just speed
same as a level so june
Like I'll be mid 12th grade next June.
Being an international sucks.
@high goblet @deft wraith Thanks y'all
good luck
So if I'm in 11th grade i won't appear next year but next next year?
what do you mean? i'm guessing 11th is your penultimate year of high school?
Yes
I mean I'll have to si for the exam in 2026?
sit*
i cant advertise the server here
i hope y'all remember me , good night guys and plis do maths
u saudi?
No lol
Perso-arabic script is used by almost everyone in the middle east and central Asia.
no shit bro its just im in saudi rn and was gon list math comps if u needed
Thanks for your intentions.
where u going for uni?
Uk
@flint grove give one integral
Any math helpers? pls dm me
no
dont give the 7th grader an integral
its too spooky

what is $\int_{-2}^2 \sqrt{4 - x^2} \ dx$
south's secret twin brother
this can be done without any knowledge of calculus
you want to find the area under the curve
is the only thing you need to know
Why the set of {x in R | g(x-a)=0} is contained in null set A U B?
oh g(x-a) = g(x) - g(a)
so x is in either A or B depending on if a was in A or B
Grind problems
first time ever participating in a math competition
I have been, but the thing is the difficult problems I can’t solve I can understand after seeing the solution, but it is much harder to do it myself. Perhaps for some questions I might be able to, however I certainly won’t be able to do them in the allocated time constraints.
Umm
The solution is just observe the approach of other people
Or the solution
And then think of other alternate ways yourself
okay thanks