#competition-math

1 messages · Page 7 of 1

ornate blade
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also there's multiple roles

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you don't have to be a trader

glad zinc
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I want to go through quant trader to then become quant portfolio manager

ornate blade
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they have different rotations when you intern so you get to experience strategy and other roles

high goblet
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anyway i'm procrastinating my optimisation problem sheet that i really don't wanna do so i'll probs actually start on that now!

glad zinc
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because Pms are closest to alpha

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so make most money

high goblet
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no hf

ornate blade
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lol

high goblet
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it's utterly boring

ornate blade
glad zinc
deft wraith
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good luck ly feel free to dm me that recollection of int questions when you get the time

glad zinc
glad zinc
deft wraith
deft wraith
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yep there you go

glad zinc
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Where the fuck are the numbers

high goblet
deft wraith
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linear programming 🥲

ornate blade
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sets sets sets

high goblet
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do u wanna apply cam too?

glad zinc
high goblet
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ah ic

glad zinc
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apparently the foods good there

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and also the head of maths at st johns came to my school so he biased me

ornate blade
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tries not to say anything about British food

glad zinc
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if its the least bad one

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then why not

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its like 2-3 for math anyways

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the guy was shitting on trinity too

high goblet
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we beat them at basically everything

glad zinc
glad zinc
high goblet
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the only thing johns does better than us is losing

glad zinc
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he said theres alot of smart people at trinity but also alot of dumb people 💀

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idk where hes getting this info from

high goblet
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trinity often have like quite a lot of the top 10 for maths

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ofc there are ppl who aren't that good but like u'll get them at most colleges

glad zinc
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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

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was funny experience

glad zinc
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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 😭

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at least i learnt quite a bit

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really nice guy too

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dr dorrzapf

high goblet
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ah right

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anyway back to problems

deft wraith
deft wraith
glad zinc
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chatgpt food rankings

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they should add this as a criteria for rankings imo

jolly solstice
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competing for the best cafeteria lol

glad zinc
glad zinc
high goblet
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2025 SW is definitely gonna be trinity

glad zinc
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this is the competition wtf

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sitting hte GCSE when he was 5 years old is the wildest thing Ive ever heard

high goblet
# glad zinc

the funny story i always get told abt him was that

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he really wanted to do IMO

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but wasn't good enough to make the UK team

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anyway through some really obscure connection he managed to get on the bolivian team or smth like that lol

glad zinc
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Do yk what medal he got

high goblet
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u can find him on the IMO website

glad zinc
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oh yeah

ornate blade
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bruv

glad zinc
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now hes in a uni in northern cyprus

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bro he did all that

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OH WAIT

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he teaches at a turkish uni thats so cool

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Im turkish

ornate blade
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merhaba

glad zinc
ornate blade
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oh cool I didn't know what the response was

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I found out today

glad zinc
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That means how are you

glad zinc
gusty verge
glad zinc
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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

ornate blade
deft wraith
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and 2020 probably wouldve been neel nanda who is also trinity

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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

high goblet
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i am very familiar with the guy who ranked top of IB

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but yeah in general the ppl at the top just work really hard

deft wraith
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trinity is definitely the maths college

high goblet
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that's the first time i've heard john's described as the maths college?

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normally ppl asssociate maths colleges with trinity

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asw as queen's and churchill

glad zinc
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Ive seen alot of people online mention johns for top 3 maths

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Which one has the best parties

gusty verge
glad zinc
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im talking about all this but watch me apply and get rejected next year 😭

gusty verge
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Has it's own maths soc

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Also most maths people from camb I know are from Johns

deft wraith
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imo and ioi camps are held at trinity so most competition people will be familiar/ probably apply to trinity

gusty verge
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Even so, all are good choices

deft wraith
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yes johns is really good

gusty verge
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Trinity and Johns probably best two, but if life outside of maths is also important, then consider other colleges like churchill

high goblet
gusty verge
gusty verge
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ICMC

high goblet
gusty verge
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Fairs

high goblet
deft wraith
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integration bee is at oxford now i think

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because vishal has moved to do his phd there

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but johns has that prize for doing well in step which is good

high goblet
gusty verge
high goblet
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but yeah i'll take ur word that they held maths competitions in the past

gusty verge
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I mean when I went to the finals it was in johns that's all

high goblet
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i will semi-jokingly say that trinity is the best college but like most ppl will really love the college they end up at

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i think trinity has quite a good maths culture if ur into like doing well & like olympiad-y stuff

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but like u'll do plenty well at the other colleges too

gusty verge
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Yeah culture is important

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Hard to grind if you're surrounded by people who don't grind

high goblet
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also up to u what ur looking for in a college

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trinity & johns are stacked so they have lots of money for bursaries etc.

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and then also trinity usually has ~30/40ish mathmos/year

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on one hand, having lots of mathmos can be quite nice cus u have lots of ppl to talk to abt maths

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but some ppl prefer having like a smaller community for maths

gusty verge
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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 $f(x)=xf(1)=cx$

gilded haloBOT
high goblet
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if we take R instead of [0, \infinity) then it's not true

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but i suspect you can probably extend our function [0, \infinity) to a R->R function

high goblet
gusty verge
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Hmm yeah, I wonder if there is a nice way of showing it works for irrational

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I remember from analysis we proved the power rule in a similar way: integers -> rational -> irrational

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I suppose we can use the following (where q is rational and r is irrational):
$f(rx)=\lim_{q\rightarrow r} f(qx)=\lim_{q\rightarrow r} qf(x)=rf(x)$

gilded haloBOT
warped wedge
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whats the most accurate mock for amc12, especially for the first 15 questions

brave heron
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Best Problem in IMO History

deft wraith
gusty verge
radiant jasper
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help me atleast give me some hints

shadow spruce
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Convergence?

shadow spruce
glad zinc
radiant jasper
ornate blade
radiant jasper
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gives past papers of AMC tests

gusty verge
radiant jasper
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okay i got it

gusty verge
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You got the answer?

radiant jasper
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Lord! You are in Cambridge! That too at Trinity! I'd die to be there!

ocean narwhal
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Yes this works

trim bramble
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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.

reef condor
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And it’s not weird

trim bramble
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and thank you

gilded haloBOT
untold thunder
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I literally can not delete

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Texit is sellar

royal estuary
shadow spruce
jolly geyser
# high goblet

Bro i also want to get admission in trinity college Cambridge can u please guide me a little

ornate blade
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oh congrats you found LY

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for context this is where my discussion with them started

high goblet
high goblet
high goblet
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i'm not sure how entirely the indian system works

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but basically as long as ur school grades are good and u should get an interview

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(i believe they're scrapping the personal statement for 2025+, not entirely sure what replaces it)

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(but whatever the replacement is, it won't be particularly important for maths applications)

high goblet
ornate blade
high goblet
high goblet
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and then you get your 45m interview where you go over the questions you did

ornate blade
# high goblet ah kk

I wanted to be honest with them, so I told them you can't guarantee an interview, but you can only maximise your chances

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damn, did my time helping secondary students really pay off

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with uni and careers stuff

ornate blade
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it was all on Discord but yes

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in the IB server

high goblet
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if u have top grades and ur p.s. isn't bad then you'll almost certainly be interviewed

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do note that for cambridge maths, the interview is not the final hurdle - you have to do STEP afterwards too

ornate blade
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their entry requirements are just a tad higher

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cause for Oxford if you do amazingly on your interview, it doesn't matter you only have say A* A A

ornate blade
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but yeah feel free to add more detail about that

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I didn't talk about it that much

high goblet
ornate blade
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only gave them a link to Cambridge's site which has a ton of advice

ornate blade
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yeah the MAT for Oxford

ornate blade
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or not

high goblet
high goblet
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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

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but if you are not confident in getting SS 1 year early then i wouldn't recommend doing so

jolly geyser
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sorry bro my wifi got shut on its own.....

high goblet
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aha nw

jolly geyser
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i just got it fixed

high goblet
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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

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you've just gotta do a lot of algebra so it can be a bit dead

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but probs best to properly practise that after an offer rather than before lol

jolly geyser
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is olympiad necessary

ornate blade
high goblet
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i'd say with olympiads & uni applications

jolly geyser
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can i give step in 11th grade ?

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if i just want to

high goblet
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rather than olympiads => good university

ornate blade
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but you can be brilliant at maths without doing a single competition

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it's more so that the people who tend to be good at maths also tend to do competitions

high goblet
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but i think doing olympiads can be a good experience, especially if u don't have that much experience problem solving

ornate blade
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it's a sociocultural thing rather than some marker of talent

high goblet
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trinity is often quite known for having a load of IMO and other international oly students lmao

high goblet
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it's just there isn't a benefit to do so unless u think ur gonna get >= 1,1

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(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)

jolly geyser
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if i get a s then ? will it guarantee my selection...

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just asking...😀

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i am an indian so will i have to give ielts?

high goblet
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actually i'm not sure how doing STEP early affects interview selection

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but if ur grades are top then u should get an interview

high goblet
jolly geyser
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are interviews hard ?

high goblet
jolly geyser
high goblet
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they say that if u can solve >= 3 questions in the 1hr timeslot, then u have a decent chance of getting an offer

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but like probably best to be able to solve like ~5ish

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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

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except it might be harder for internationals so i'm not too sure

jolly geyser
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is there any kind of book which can make me good at these kind of questions

high goblet
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u said u were grade 10?

jolly geyser
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yes

high goblet
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ok according to google that's Y11

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u've got like ages

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make sure ur school grades are good

jolly geyser
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i have cleared 1 st stage with 2 days of preparation of mathematics olympiad

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but i dont like giving olympiads

high goblet
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then probs just do like maths olympiad stuff cus a lot of the skills are transferrable

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u could also look at the MAT, that's quite good too for practice

jolly geyser
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can u help me what is a personal statement

high goblet
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(Oxford's entrance exam)

high goblet
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idk what they're replacing it with though, so u'll have to ask someone else about that

ornate blade
high goblet
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there's probably a UK university discord server?

ornate blade
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I already gave you that link also from UCAS

jolly geyser
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no i mean what will i have to write in it

jolly geyser
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like beside my passion etc

high goblet
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and then u can also do some STEP questions as practise ig? but i think the links i gave above are more relevant

high goblet
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i don't know what they're doing instead

jolly geyser
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okkk

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is the university mathematics hard ?

high goblet
high goblet
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not entirely sure who it's targetted at

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hmm it says that it's aimed at students who have applied to cambridge this year so maybe it's a bit early

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but anyway i will be there for some of the webinar sessions

high goblet
jolly geyser
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i am very bad at social science will they consider my marks in it ? besides mathematics....

jolly geyser
high goblet
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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

ornate blade
ornate blade
high goblet
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probs best to speak to an international about that

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but probably not is what i'd say

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as long as it looks like u've put in effort

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also i'm gonna go to dinner now and then i've gotta do my problem sheets

jolly geyser
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i have completed basic calculus.... but i suck at number theory

gusty verge
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Not much number theory at A-level

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I know for European Bacc students, Cambridge expects you to study extra outside of the course because it doesn't cover enough maths content

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But just email to ask about ur specific course

jolly geyser
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u mean extracurricular

gusty verge
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Yeah

jolly geyser
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i was going into national taekwondo team last year but my bone got fractured.......

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hehehehe.......

ornate blade
#

the problem with Indian maths is not it doesn't go into depth, cause it absolutely does

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it's that it's too braindead bleakkekw

ornate blade
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I've never heard an Indian person say they wanted to represent their country in sports

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your country's Olympics record is terrible, which sucks

jolly geyser
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yess u are right

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my father was a athelete so he wanted me to play

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an*

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do u think indian maths gonna help me with step

ornate blade
jolly geyser
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is there number theory in mathematics

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of step

ornate blade
#

a lot of these questions are Googleable you know

jolly geyser
#

i did chat gpt but dont get a good answer

jolly geyser
ornate blade
ornate blade
#

it just generates an answer based on the most likely next word

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so you can definitely make it far in life without going to an elite uni

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I go to a very ordinary uni (that is in the top 100 by QS rankings, but what does that even matter)

jolly geyser
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u tried for cambridge ?

ornate blade
#

I'd say your character as well as making the most of whatever opportunities you have is far more important

ornate blade
jolly geyser
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ohhhh

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if i solely dedicate 1 year to step preparation will it be enough?

ornate blade
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just try and see how you go

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there's not really a way to know ahead of time

jolly geyser
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do u think it would be good if i do any extracurricular ?

ornate blade
#

it's not necessary for your personal statement though, for the UK

jolly geyser
#

have u heard of iit

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here in india ?

ornate blade
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yeah

jolly geyser
#

it sucksssssssssssssss

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i have sent u a friend request

ornate blade
#

okay but I'm not obligated to respond to anything, just saying

jolly geyser
real basin
#

hello people

ember heron
#

Hi guys, I have SEAMO Math comp next week and I really need someone to help tutor me a bit 🙏 (grade 9)

radiant jasper
radiant jasper
radiant jasper
south socket
spiral cedar
#

Hi, does anyone know how to make 8 in power 2023=1489(mod2017) into 8 in power 2023=c(mod2023)?

ornate blade
#

,w is 2023 prime

ornate blade
#

frick

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Fermat's little theorem doesn't apply directly

ornate blade
#

then use the Chinese remainder theorem

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this might help for the modulo 17^2 part

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in other words, forget about 2023=1489(mod2017) completely

spiral cedar
#

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"

ornate blade
spiral cedar
#

yes

ornate blade
#

hmmm

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yeah now this question should be an application of Fermat's little theorem

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so $3^p - 3 \equiv 0 \pmod p$

gilded haloBOT
#

south's secret twin brother

ornate blade
#

no wait

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it's so confusing with the double exponents

spiral cedar
#

ok, ty anyway

gilded haloBOT
ornate blade
warped wedge
#

how much harder is amc12 2020-2024 compared with 2015-2019?

ornate blade
#

Depends what is hard for you tbh

soft vigil
#

much harder tbh

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2015-2019 is light

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compared to 2020-2024

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although 2024 was a bit underwhelming according to popular opinion

untold thunder
#

if the roots are $p$ and $q$ with $p<q$, you want $p/q$ so you consider the sum $p/q+q/p$

gilded haloBOT
untold thunder
#

And then you can sub accordingly

modern prawn
#

How much harder is 2020-2023 harder than 2010-2013?

surreal willow
modern prawn
#

Oooof

surreal willow
#

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 $n$?

gilded haloBOT
surreal willow
#

2022s is this

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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).

gilded haloBOT
surreal willow
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They are both hard but one is a lot harder

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Also the 2022s regular questions are harder and trickier as well

modern prawn
#

Bruuuh

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Im going to kill myself and reincarnate born in the 2000’s

surreal willow
#

Lol

vernal knot
#

what?

surreal willow
#

what math competition ar u doing?

modern prawn
#

amc 10

surreal willow
#

SAME

vernal knot
#

Same

surreal willow
#

Yo we all doing amc 10

modern prawn
#

I havent ever taken a full amc 10 mock test, only did a few questions to test myself for like 30 mins

vernal knot
#

yea

modern prawn
#

Ima give myself 60 mins rn with a mock amc 10 test and see what i get

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someone send me a mock amc 10 test

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rn

vernal knot
#

i mocked like 130.5 like yesterday

surreal willow
vernal knot
#

ill send u what i mocked

vernal knot
#

do the 2023 one

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and give urslevf 75 mins

modern prawn
#

2023 i already saw rhe questions

vernal knot
#

oh

modern prawn
#

send me an actual mock test

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I’ve seen all questions 2017-2023

vernal knot
#

then do 2016

surreal willow
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Ahhh ok

modern prawn
#

gl yall ima do it rn

modern prawn
#

40 mins only though

modern prawn
#

actually yeah 60 minutes

surreal willow
#

💀

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glgl

vernal knot
vernal knot
surreal willow
#

9th for me

vernal knot
#

same

surreal willow
#

wbu?

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oh

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r u asian?

vernal knot
#

yes

surreal willow
#

chinese?

vernal knot
#

no

modern prawn
#

8th, im guessing i’ll get a 85-90

surreal willow
#

dang

vernal knot
surreal willow
modern prawn
#

Imm going to

modern prawn
vernal knot
modern prawn
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Im competing with my friend, by amc 10 comp time i should be able to get a 95+

surreal willow
#

oh

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nicenice

surreal willow
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yea

vernal knot
#

i didnt to the amc 10 in 8th grade

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i did the amc8

vernal knot
surreal willow
#

did any of u guys do mathcounts?

surreal willow
vernal knot
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oh

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no i didnt do mathcounts

surreal willow
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yea

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yall missing out

vernal knot
#

what did u place

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?

surreal willow
#

mathcounts actually fun

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SOSOSOSOSOSO

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I didnt get into state unfortunatley

vernal knot
#

did u get reigonals?

surreal willow
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bc in our regionals (this is uncommon) it was top three teams that whent to state

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and my team was absolute trash cause I was the only asian there

vernal knot
#

oh? what is it normally

surreal willow
#

I got 6th place outta 100 something

surreal willow
#

if they did that I wouldve got into state 😭

modern prawn
#

Ipad ran out of battery when i was doing it lmao

surreal willow
#

💀

modern prawn
#

I AHVE to go eat

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Also the amc 2016 was cooking me

vernal knot
#

yes

vernal knot
#

its easy

modern prawn
#

I’ve taken amc 8 before

vernal knot
#

what did u get

modern prawn
#

I get like 16-18

gritty veldt
#

Is anyone taking the CSMC

modern prawn
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its a practice test

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I didnt take the real one

vernal knot
#

aim for like 20-23 in the amc8

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thats like good

modern prawn
#

I’ll study a ton so i get 100 on amc 10, just watch

vernal knot
#

ok but bro u have to start at the amc 8

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because the amc 10 yes going to cook you

modern prawn
#

I said i already get 80-90

vernal knot
#

yes

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but u have so much room for impovemnet

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whatch all of this videos and learn them

modern prawn
#

i’m already watching amc 10 fundamentals from that dude and i can understand it so uea

modern prawn
#

ima just keep watching the amc 10 fundamentals

vernal knot
#

but make sure u actually like do amc 8s

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like mock them

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like for me, I mock a amc 8 as a warmup, math leauge, amc 10

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if u want to get like 130+ then u have to get like 25/25 in th amc 8

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do u want me to dm u?

modern prawn
#

well i gott abalance my time

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as an 8th grader i get roughly 2-4 hours of homework a day

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i come home at 3:20

vernal knot
vernal knot
#

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

modern prawn
#

My work ethic is really bad

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Because i dont like school

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How do u only get 10-30 mins

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I also actually have an amc 10 class online from aops so thats more work i guess

vernal knot
#

yo thats very good

vernal knot
modern prawn
#

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

vernal knot
#

well if it makes u feel better that would be tenfold if you were self studying

modern prawn
#

wdym

#

what is tenfold

#

like what are u talking about that is tenfold

vernal knot
#

trust me bro

#

I know what im talking about

modern prawn
#

the brain damage is less because there is no time pressure

soft vigil
radiant jasper
#

any tips for amc 2024

#

i want to get over 120 T.T

pallid tundra
#

barely missed nats qualification on my last go 😔

soft vigil
#

Majority of the fun is at nats

junior talon
#

yo what did you guys think of the senior math challenge?

radiant jasper
whole narwhal
#

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

modern prawn
whole narwhal
#

Cause I felt like it

high goblet
#

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

high goblet
#

be ambitious with ur choice of problems, if you think u can do problems of difficulty $x$, try problems of difficulty $x + \varepsilon$

gilded haloBOT
high goblet
#

(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

modern prawn
#

how to balance math studying with 2-4 hours of homework a day

ornate blade
modern prawn
#

8th

ornate blade
#

jesus 8th graders shouldn't have that much homework

modern prawn
#

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

ornate blade
#

can't you do something if that's a school policy then

#

about the excessive homework

modern prawn
#

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

vernal knot
#

bro

#

set small goals

#

for dopamine

glad zinc
# modern prawn how to balance math studying with 2-4 hours of homework a day

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

untold thunder
modern prawn
#

How to convince myself to do homework as soon as i get home

untold thunder
#

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

modern prawn
#

I dont view math as studying or a reward

untold thunder
#

Why u do it?

modern prawn
#

No its because

#

I AHVE so much math work rn that im desensitized to math

untold thunder
#

oh

#

Are you in a magnet school

modern prawn
#

No

untold thunder
#

damn

modern prawn
#

You know aops?

untold thunder
#

yes my favorit

modern prawn
#

Uh so I’m in they’re online amc 10 and amc 8 classes 4/7 days of the week

#

Its a loooooottttaaaaa homework

untold thunder
#

I personally just read the books which allows me to move at your own pace

#

But do you even like math?

modern prawn
#

yes

untold thunder
#

Then why don't you view it as rewarding after finishing all your homework?

modern prawn
#

because im getting overwhelmed

untold thunder
#

I can see that :/

modern prawn
#

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

untold thunder
#

Well when you finish these courses consider independent study

modern prawn
#

After this doing an hour of math randomly will feel normal

modern prawn
#

Its seperate homework

ornate blade
#

you should go take a damn break after doing those classes

#

jeez that's a ton of work

modern prawn
#

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

untold thunder
#

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

modern prawn
#

its not because i hate math

#

Schools SUCK at teaching math

untold thunder
#

So if you want to feel less pressure and have more time consider putting more effort into your classes so you like them more

modern prawn
#

No wonder so many kids hate math

modern prawn
untold thunder
#

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

modern prawn
#

A bad side is it is also a subject that can be conquered just by rote memorization the way schools teach it

untold thunder
#

schools don't teach comp math

modern prawn
#

True. But you don’t need to understand. You just need to memorize

errant portal
untold thunder
#

As math classes get harder in the school system, the quota for critical thinking rises

modern prawn
#

When the time that critical thinking is required, they are not ready yet

untold thunder
#

In calculus, the problems will not be nearly as straight forward

errant portal
#

they don't favor critical thinking

#

just memorization of rules

#

and formulas

untold thunder
#

No, but eventually, you will have to critically think

#

and dissect problems

modern prawn
#

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

modern prawn
#

its like if i dont understand why that formula works im probably going to do a lot of works to derive it

untold thunder
#

Well when you do comp math for long enough and you learn something, you start to get ahead

modern prawn
#

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

untold thunder
#

Just remember: when you're in class, put in the effort then so you can relax about you aops homework later

modern prawn
#

I also have a big science test coming. Idk how im gonna survive it lol

untold thunder
#

If you peform well in actually school, you'll have higher self-esteem and time going into your aops homework

modern prawn
#

But thats how I’ll learn. So i just push through

untold thunder
#

yeah

modern prawn
#

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

untold thunder
#

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

modern prawn
#

Yeah, before these classes i study math for fun not for learning really, i always viewed math as something fun

untold thunder
#

Take a 5-10 min break

#

Great

#

But again, if you aren't already take periodic breaks because it helps you stay consistent

modern prawn
#

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

untold thunder
#

yikes

modern prawn
#

I wish schools were good at teaching math bruh

#

I get they dont teach comp math but still

untold thunder
#

If they started making students critical think too early they'd all fail

modern prawn
#

Very simple critical thinking problems how about that

untold thunder
#

Of course they would eventually adapt but at the start it would be a disaster

untold thunder
#

But usually it doesn

#

't start until cacl

modern prawn
glad zinc
modern prawn
#

Idk what a magnet school is

untold thunder
#

It's just a school with harder classes

#

Mine is directed towards stem stuff

ornate blade
#

they're called that cause they accept out of zone enrolments

glad zinc
#

yeah idk what that is either

ornate blade
#

and also, they tend to attract those students cause they offer a specialty

#

STEM a lot of the time

untold thunder
ornate blade
#

but there are definitely performing arts magnet schools

glad zinc
modern prawn
#

Damn in school im algebra 1 and i only get like 2 pages

untold thunder
#

It's not that bad when you like math tho

modern prawn
#

Usually takes me around 20 mins

glad zinc
untold thunder
#

😦

ornate blade
#

trust me

untold thunder
#

If you don't like math, face my wrath

modern prawn
untold thunder
#

No.

#

If you don't like math, I'll be in your path

ornate blade
#

if only schools taught better

modern prawn
ornate blade
#

the whole reason why you can learn so much maths online

#

is cause grade school maths education sucks ass

glad zinc
#

Its not that I dont like math, doing the same problem with different numbers 10 times isnt interesting

ornate blade
#

so there's a demand for resources to be made

glad zinc
#

thankfully my teacher makes it as interesting as possible

ornate blade
modern prawn
#

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

ornate blade
#

discovering the formula and convincing yourself is the fun bit

glad zinc
#

always finds a way to stump me

modern prawn
#

I dont really agree

ornate blade
modern prawn
#

Its kinda true

ornate blade
#

charter schools and deregulated education

modern prawn
#

but school math education sucks

ornate blade
#

make the quality of teaching worse

#

public schools don't have resources so they can't compete

modern prawn
#

Afterschool programs and coaching want you money. Is that true?. Yes

#

But that doesn’t mean they don’t offer quality teaching

glad zinc
ornate blade
#

yeah I mean some tutors are really good and really experienced

modern prawn
#

They’re whole basis is off teaching math. They specialize in it. Why would they not be good at teaching math?

ornate blade
#

but there shouldn't be as many tutors as right now

#

especially those that promise parents their child can leap ahead of the competition

modern prawn
#

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

ornate blade
#

you can't really say they exactly specialise in maths

glad zinc
modern prawn
#

Yeah but afterschool math programs

ornate blade
#

oh wait I see what you mean by they

glad zinc
#

or sail the high seas 🏴‍☠️ and get some quality textbooks

modern prawn
ornate blade
#

yeah if you organise an afterschool maths program you're usually pretty experienced with pedagogy and stuff

modern prawn
#

I used khan to study a lot. But on its own, it cant serve as a math education

ornate blade
#

depends on how professional it is
high schoolers could organise one and many do for ECs

modern prawn
#

It simply doesn’t offer the critical thinking, and the courses are not as detailed.

untold thunder
ornate blade
#

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

modern prawn
#

If you self-taught geometry with khan you would be missing a lot

ornate blade
#

yeah Khan only does coordinate geometry most of the time

#

if you want to learn Euclidean geometry.... rip

untold thunder
#

I did, but I didn't miss that much

#

Not much circle theorems

modern prawn
#

Circle thereom hurt my brain

glad zinc
ornate blade
#

cause school sucks so much

untold thunder
#

💀

untold thunder
modern prawn
#

Idk what my math teacher was talking about. School math is definitely less detailed than afterschool programs

ornate blade
untold thunder
#

study of shapes and figures

ornate blade
modern prawn
#

Like bruh. Just because they are making money from you doesn’t mean they’re making it easy on purpose or something

ornate blade
#

also smaller class sizes

untold thunder
modern prawn
#

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

untold thunder
#

Only math people understand what it truly means to be sigma

modern prawn
#

Sure

untold thunder
#

Lock in

#

If you're not doing math while writing a message you should leave this server immediately.

modern prawn
#

I remember when i was trying to sleep

untold thunder
#

you were trying to do math

modern prawn
#

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

glad zinc
#

dreaming about math is some crazy stuff

modern prawn
#

It obviously doesnt make sense now but i remember how stressed i was lol

#

I felt like i was going crazy

untold thunder
#

😦

modern prawn
#

idk how

#

idk what i was thinking

#

but it was like the world of math could be flipped over

untold thunder
#

Well you should try lucid dreaming about your homework while you're sleeping so that you can be efficient

modern prawn
#

to this new realm of different numbers where 1 + 1 could be like anything

#

idk

ornate blade
untold thunder
#

who came up with that goofy ahh name

jolly solstice
#

p-adic absolute value of a sum of integers is always bounded above thankfully

ornate blade
jolly solstice
#

yeah that's true too, but what I'm referring to is the fact that it's nonarchimedean

ornate blade
#

ah okay I see

ornate blade
jolly solstice
#

yeah, the two things are pretty closely related

high goblet
#

they never checked it so i mean i was good enough anyway lol

#

not doing the same question with very slightly different numbers

cerulean ibex
#

stop advertising ur own server

#

get permission from the mods if u want to

radiant jasper
#

xonks

modern prawn
#

The previously very hard problems are becoming easier and easier for me. I’m learning! This feels amazing

vernal knot
pallid tundra
#

no.

modern prawn
#

casperoso we were testing lol

acoustic nova
#

why are u sending that

#

it’s a very small server anyways

cerulean ibex
#

it's also against the rules so lord pls stop

#

i promise nobody will want to join it if it's advertised like this

modern prawn
#

ok

lament flume
#

What the hell is AoPS

pallid tundra
#

"art of problem solving", math contest forums

ornate blade
#

imagine doing comp maths without ever hearing of AoPS

ornate blade
#

which is Year 11 in Australia

#

confusing

high goblet
#

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

high goblet
#

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

high goblet
#

(assuming u know stuff like pigeonhole principle etc.)

royal estuary
#

Guys

#

I need help

#

Should I start learning about generating functions for combinatorics

dusk tendon
royal estuary
#

Combinatorics I can handle

dusk tendon
#

yeah if ur olympiad level you should learn it

royal estuary
#

If it is more effective or not

#

Instead of traditional methods

dusk tendon
#

wdym

royal estuary
#

Likd

#

Does it make everything easier

dusk tendon
#

yeah it makes casework and things like that easier

royal estuary
#

Oh ok

#

That's what I wanted to know

#

Ty

soft vigil
#

there already is one in existence

glad zinc
high goblet
#

ok doesn't look too competitive so u might have a chance

high goblet
high goblet
royal estuary
#

In india

high goblet
#

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"

high goblet
#

roughly what difficulty?

royal estuary
#

Uhh

#

Not like usamo

fast coral
#

much lowee

royal estuary
#

Between aime

#

And usamo

fast coral
#

grind

royal estuary
#

That's how I could describe

high goblet
#

1 sec

royal estuary
#

Huh

high goblet
#

oh ok fine

high goblet
#

sometimes generating functions are quite useful for particular problems

royal estuary
#

Hnm Ic

high goblet
# high goblet sometimes generating functions are quite useful for particular problems

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...

▶ Play video
royal estuary
#

I have seen this

high goblet
#

cus you treat it as a polynomial, plug stuff in and it tells u stuff about our original problem

royal estuary
#

How do u make one

#

For a particular situation

high goblet
#

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

high goblet
#

imomath is generally good so that's probably fine? haven't actually used it myself tho

royal estuary
#

K

#

Thanks

high goblet
#

nw

royal estuary
#

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

soft vigil
#

i see the squares so it looks a bit like cuachy

royal estuary
#

Hnm

#

I tried

#

Didn't work

#

Maybe took the wrong terms

high goblet
#

then expand and ur done by muirhead/AM-GM

royal estuary
#

And if I try writing in terms of a+b+c

#

There are other unwanted terms

high goblet
#

cancel everything out and ur left with something nice

royal estuary
#

Lemme try

high goblet
#

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

royal estuary
#

Hnmm

#

K

royal estuary
high goblet
#

expand everything first then solve lol

royal estuary
#

Alr

deft wraith
#

Could I have a hint for this problem?

high goblet
radiant jasper
#

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?

deft wraith
#

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

deft wraith
#

For stats and mechanics you may have to pick and choose certain topics from FM1/2 and FS1/2 (Edexcel)

radiant jasper
glad zinc
deft wraith
glad zinc
deft wraith
glad zinc
#

You said A2 maths, doesn't that mean y2 normal maths, or am I misinterpreting?

deft wraith
#

Yes A2 Maths and FM

#

might've been a bit unclear

high goblet
#

step discord server is probably more suitable for step questions

deft wraith
deft wraith
high goblet
#

the problems are a bit boring tho, a lot of algebra bashing

#

but just do problems and u'll do well

radiant jasper
#

Is a year enough? Like if I do have a brain.

radiant jasper
deft wraith
#

ly did you only do pure questions on step

high goblet
high goblet
#

cus the stats is sometimes like trivial

deft wraith
#

i've heard that

#

did you learn any fs1 for that then

high goblet
#

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

high goblet
#

if u studied a levels then u'll know all the content, so just grind

radiant jasper
#

In which month is it held

high goblet
#

the main thing with STEP is just speed

high goblet
#

maybe july?

deft wraith
radiant jasper
#

Like I'll be mid 12th grade next June.

#

Being an international sucks.

#

@high goblet @deft wraith Thanks y'all

deft wraith
#

good luck

radiant jasper
#

So if I'm in 11th grade i won't appear next year but next next year?

deft wraith
#

what do you mean? i'm guessing 11th is your penultimate year of high school?

radiant jasper
#

I mean I'll have to si for the exam in 2026?

#

sit*

soft vigil
#

i cant advertise the server here

winter sable
#

i hope y'all remember me , good night guys and plis do maths

radiant jasper
#

I typed math and this came up.

west abyss
radiant jasper
#

No lol

radiant jasper
west abyss
radiant jasper
#

Thanks for your intentions.

west abyss
#

where u going for uni?

radiant jasper
#

Uk

maiden beacon
#

@flint grove give one integral

idle fjord
#

Any math helpers? pls dm me

slender saddle
soft vigil
#

dont give the 7th grader an integral

#

its too spooky

modest marten
ornate blade
#

what is $\int_{-2}^2 \sqrt{4 - x^2} \ dx$

gilded haloBOT
#

south's secret twin brother

ornate blade
#

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

boreal sky
#

Why the set of {x in R | g(x-a)=0} is contained in null set A U B?

high goblet
#

so x is in either A or B depending on if a was in A or B

mental elbow
#

yo

#

does anyone have any tips/ advice for me regarding practice for the AMC 10

mental elbow
#

first time ever participating in a math competition

mental elbow
# royal estuary Grind problems

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.

royal estuary
#

The solution is just observe the approach of other people

#

Or the solution

#

And then think of other alternate ways yourself

mental elbow
#

okay thanks