#competition-math

1 messages · Page 39 of 1

outer raven
#

ah, ok, so, being from argentina this must not affect me

patent kernel
#

ioqm->rmo(regionals)->inmo(nationals)->training camp->tst(team selection test)->IMO

Is what the order is

#

if you want to go to the IMO in india

patent kernel
outer raven
patent kernel
outer raven
patent kernel
#

Argentina probably has a similiar cycle

outer raven
#

but i lost always at regionals or national in this case, this year

outer raven
outer raven
patent kernel
#

I don't know Spanish that well

outer raven
patent kernel
outer raven
#

ok, so you are from India or near areas?

patent kernel
#

Yes, I am from India

#

I do have an Argentinian friend who might help you

outer raven
outer raven
patent kernel
outer raven
patent kernel
#

he's not in this server

#

could you join the server mentioned in the pins

outer raven
#

like, OTIS?

patent kernel
#

No, I mean this

outer raven
#

thanks bro

foggy python
#

no first qualifying round for IMO in india

vital vale
#

Absolute Banger Channel.

patent kernel
#

Recently

vital vale
hard rune
dusty fable
pallid tundra
#

hint: rearrangement inequality

#

(what do you need to do to attain equality?)

steady elbow
hard rune
#

I am curious for your solutions to see your ideas 💡.

sonic oxide
#

54, for the numerator, interchange a,b and c then you get a cyclic expression, add all the 6 and then everything cancels and only 4^a+b+c is left which can be expanede using summation properties

plain cedar
#

rearrangement and taking the value of the whole series as S

#

I think if you rearrange it in a a-b-c cycle and add maybe

foggy python
#

yeah 6 cycles

random rain
#

What books should i use for ref to progress in math cuz i want to do math olympiads in 11th

#

pls ans

random rain
#

ooh

#

thanks

hard rune
#

If you need to work on something specific, such as matrix, polynomials or anything else you can ask to send you other books. 👍🏻🙏🏻💪🏻

#

Another one

junior mason
junior mason
scarlet rootBOT
# hard rune Another one
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
hard rune
#

@scarlet root This problem is proposed by me for you to solve. I know how to solve it, I usually post problems to be challenges, when I don't know how to solve a problem I also post what I tried and my ideas 💡.

foggy python
barren meadow
#

Hard question

dry monolith
nova isle
#

rows*

hollow lance
#

its better to solve russian books u know

#

cengage has questions which are theoretically wrong

#

this has been verified by many of my teachers who are like phd holders from princeton , cambridge and all other premier institutes out there..

dry monolith
#

Okay but ur saying smthg thats unrelated to the question. He didnt ask if u were good at it he asked "Do cengage completely Illustration ,practise exercise and numerical types for building basics. Stop Glazing urself buddy

junior mason
#

He is in 10th class first he will build basics or directly jump on tough question

#

If ur saying he should directly jump on russian books or some advanced books that ur wrong
Bcz u can qualify the first 2 qualifier rounds easily by just solving coaching material or cengage

#

For some topics u need to use some more material but the syllabus is of 9th and 10th class

radiant jasper
foggy python
#

frfr

glossy tinsel
#

how do i prove sum from k = 0 up to n of (nCk)^2 = 2nCn using combinatorics

#

i thought it would be good to split up say, 2n lots of people into 2 groups of n then choose k people from them and then use the multiplicative principle to say ive got nCk choices for the first group and nCk choices for the second group so multiply them together but i’m not sure if this is correct

radiant jasper
#

so you can do something a bit different with the second group

glossy tinsel
#

ah yes i noted this down when trying the question, but am i thinking along the right lines

#

i hate combinatorics so much pandaohno

heavy pagoda
radiant jasper
#

the idea of picking some things from 2n things and dividing the 2n things in 2 groups of n is the right approach

stoic tinsel
#

If you’re going for a solution with a combinatorial argument, there is an easier way

#

Try to find 2 ways to make a group of any size (including size 0) from n people

iron ferry
random rain
hard rune
#

This book is good for polynomials, it has also theory and problems, but it's not free on internet, you have to buy it.

#

Also this one includes both algebra and analysis, but I can't find a PDF free on internet. You can tell me what topics the 11th grade Maths Olympiad are supposed in your country, because it could differ from mine.

valid ermine
#

chat how do i do this

jaunty ginkgo
#

Is this even solvable? csc(x) isn't defined at 0

rare sable
radiant jasper
#

i failed

rare sable
#

And u actually didn't fail, u found a way how not to pass an exam!

radiant jasper
#

i was talking about that integral above

#

lmao

#

i differentiated it and it leads to no solution for a

#

it gives, csc^2 asec^2 a= 0

austere marten
#

please and thank you 🙏🙏

rare sable
radiant jasper
barren meadow
#

Id js do mor questions tbh

#

U got this 👍

austere marten
#

im 10th grade so i havent even took geo yet

nova isle
#

Didn't understand a thing.

#

👍

jaunty ginkgo
nova isle
jaunty ginkgo
#

eh, I could just use wolfram alpha

radiant jasper
#

No way in hell I cleared IOQM

#

I’m so damn lucky😭😭😭

nova isle
radiant jasper
scarlet seal
#

You guys say stuff I don't udnertand

#

This is for alevels right

radiant jasper
#

I’m in 8th so that’s expected

scarlet seal
#

Wdym 8tj

#

8th

#

Is this an American server

#

??

tranquil oracle
#

8th grade is a fairly universal concept is it not

radiant jasper
scarlet seal
#

The have it like
Yr11

#

Yr12

#

Yr13

#

Then uni

scarlet seal
radiant jasper
scarlet seal
#

Bro what

#

How, u doing calculus in year 8

radiant jasper
#

The most complex thing that I did is

#

Permutation and combination

#

Tho I ain’t rlly a master at it

scarlet seal
#

Bruh what

radiant jasper
#

I gotta refine ts

scarlet seal
#

Nah I got it bro

#

How old are u

radiant jasper
scarlet seal
#

💀💀💀

#

U gonna be a genius

radiant jasper
#

There are like

#

3-4 kids like me at my school

scarlet seal
#

Bro your doing really good for ur age

radiant jasper
#

Not to mention a senior who solves JEE problems

radiant jasper
scarlet seal
#

I'm sure you'll get there too

radiant jasper
#

Can someone recc me some books for RMO preparation

#

Smth that covers stuff from the basics

#

Cuz I ain’t like IMO clearing lvl good at maths

#

I’m jst in a zone with a low cutoff

agile gazelle
buoyant dirge
#

GUYS

#

I CLEARED IOQM

barren meadow
barren meadow
proud stratus
agile gazelle
#

Did any1 had the chance to compete in the IMC

nova isle
austere marten
abstract vale
jaunty ginkgo
sleek ivy
#

all my homies hate counting

jaunty ginkgo
#

But I still hate combinatoric

radiant jasper
#

Can someone tell me some books/prep material for RMo

#

I’m clueless rn

#

I’m using my IOQM prep book rn but idk

radiant jasper
#

Challenge and thrill of pre college mathematics

radiant jasper
#

Ki

#

Kk *

#

Lemme look it up

radiant jasper
radiant jasper
#

However I don’t think that I can get the physical copy

#

why?

#

I’ll consult this with my maths teacher and then ig I’ll download and print it

#

india right?

radiant jasper
#

It says that the book will be delivered by 13 November

#

And RMO is on 16

radiant jasper
#

well i mean

#

digital version is just as fine

#

and print it out at best

radiant jasper
#

i never buy physical

#

too much time consuming

radiant jasper
#

Does it explain stuff from the basics

#

yeah it got everything needed of number theory and geometry covered

#

Cuz I’m from a low scoring region
And I ain’t actually IOQM level

#

yeah

#

its good

radiant jasper
#

if u can do it good

#

u def getting it up there

#

in RMO

#

its not even that big as well

#

so its doable

#

has good stuff

#

im not sure if the last one is covered or not

zealous totem
#

Hi guys, I'm new here.
I have an upcoming math competition in december this year, the questions seems similar to AMC 10.
I'm fairly new to math competitions, how can I prepare and master the fundamentals? Any resources? please ping

jaunty ginkgo
#

So it's not AMC10?

zealous totem
#

No, it's a local one, but i mean in question style

jaunty ginkgo
#

AoPS is great for AMC in general

#

So you could try that and their books

zealous totem
#

which book exactly?

jaunty ginkgo
#

hmmcat Hm I dunno, never take AMC10 myself but I know some people prepare AMC10 here using AoPS

zealous totem
#

Ah okayy

nocturne bone
#

Hi

late flint
#

heyyy who here is doing usemo rn

near hill
#

If they are, they'll hopefully have read the point in the rules where it says collaboration is not permitted, which presumably includes any sort of online discussion of the contest.

opaque oasis
gaunt badger
#

whats the best way to study for the amc 12 in like 10 days

dire flare
rose condor
swift peak
lethal wigeon
#

Please, does anyone here have any recommendations or books I could use to prepare for math competitions as a beginner

lethal wigeon
# jaunty ginkgo what competition, Pucci?

Oh , you know JoJo , Fiona the human , that's great . AMC , IMO , any one really, I find them interesting, but ik a beginner at any of those questions and I haven't seen any proper resources to help me yet

jaunty ginkgo
lethal wigeon
jaunty ginkgo
#

Well it has basic, and it has a bit advanced

lethal wigeon
#

Oh k , do I have to sign in or pay

jaunty ginkgo
#

I meant

#

You have to make an account, but you won't have to pay anything

lethal wigeon
#

Ok

#

Thank you very much

tiny spire
#

Guys do you know how to approach math modelling...

#

All my teammates flaked on me and its fine for rn since its just a mock competition bit idk where to start at all

modern grotto
# tiny spire

Wdym those questions look like beginner modelling ones

#

is that GCSE ?

tiny spire
faint thorn
#

does anyone wanna talk through solving BMO problems later

#

or SMC problems

jaunty ginkgo
high goblet
#

the UK section of MODS is more active tho, link is in the channel info

zealous totem
merry spire
#

how to solve? a³+b³=c³+2025 methodically? i know the answers are 28, 81, 82 but i dont seem to know how to solve it.

worldly oar
#

Uh fermants last theorm

#

But not exactly you can consider 2025 as a cube root of cube of itself
So its
a^3+b^3=c^3+d^3
Where d^3=2025

#

Idk modular arethamtic might work

near hill
#

There's no such d, though (at least if everything is supposed to be integers).

jaunty ginkgo
#

hmmcat hmmm let d=-c => a^3+b^3+d^3=2025

#

2025 = 0 mod 9

#

for any integer t , t^3 =0 or 1 or -1 mod 9

#

So a,b,d = 0 mod 9 or a=-1 mod 9, b=1 mod 9, d=0 mod 9

#

This's the most I can do atm

subtle sundial
#

i dont think theres a cleean way to solve this lmao

subtle sundial
#

[
a^3 + b^3 - c^3 + 3abc = (a + b - c)(a^2 + b^2 + c^2 - ab + ac + bc)
]

gilded haloBOT
#

pxdoru | 9¾

subtle sundial
#

equate to 2025 + 3abc

sleek ivy
#

idk if that does anything tho

subtle sundial
#

hmm

#

itd probably simplify things? no

#

[
(a + b - c)(a^2 + b^2 + c^2 - ab + ac + bc) = 3(675+abc)
]

gilded haloBOT
#

pxdoru | 9¾

jaunty ginkgo
subtle sundial
#

too much work and substitution

scenic cape
#

Usually what is the cutoff for amc 12a for aime?

#

I thought 85 was safe no

pallid tundra
#

i havent been keeping track of how low theyve been getting but

#

last i remember they were hovering around the 90s

sleek ivy
#

for a it was 76.5

pallid tundra
#

76.5

#

jfc

#

😭

#

have participant numbers really plummeted that much

sleek ivy
#

hey man i aint complaining

#

just let me qual

pallid tundra
#

true

wanton kelp
#

100 is as safe as you can be

#

but tbf if last year was 76 then like

#

you could prob get away with like a 90

sleek ivy
sleek ivy
#

and its getting lower every year

soft vigil
#

Just get >100

#

Like if you can secure that you make aime

sleek ivy
soft vigil
#

Like realistically

#

I wouldn’t say it is that difficult to get if you properly prep

merry spire
merry spire
jaunty ginkgo
merry spire
#

ah idk im still kinda puzzled since it was a question to be solved in 15 minutes

jaunty ginkgo
#

,w expand (3x+1)^3

jaunty ginkgo
#

,w expand (3x+2)^3

jaunty ginkgo
jaunty ginkgo
zealous totem
#

Hey yall
How do I practice for this upcoming competition? This is the only sample questions given. I have no idea how to solve most.

#

any advice really helpful

austere marten
proud stump
#

guys with all the plug and play and memorization with no intuitive understanding does it ever finally click 😞🥺

odd talon
odd talon
subtle sundial
nova isle
#

Just manipulated the identity a³+b³+c³-3abc?

sand hill
#

Given a circle and points A, B, and C on it, which do not form an isosceles triangle. For every point P not in the set {A, B, C} on the circle, let A_P, B_P, and C_P denote the intersection points of the tangent at P with the tangents at A, B, and C, respectively.Prove that there are exactly three points P not in the set {A, B, C} on the circle such that the points A_P, B_P, C_P exist, and the perpendiculars erected from A_P to the line segment BC, from B_P to the line segment CA, and from C_P to the line segment AB are concurrent (meet at a single point).Furthermore, show that these three points P form an equilateral triangle

#

Hi guys

#

Idw

#

To waste time on this so someone pls help

hard rune
#

Hello!
I need a little help with this problem.

#

I would like a solution without barycentric coordinates or complex numbers.

sand hill
#

Kk

subtle sundial
zealous totem
scarlet rootBOT
proud stump
hard rune
slender shoal
#

Because MN,MP and NP are parallel to the coresponding sides, considering the fact that they're midpoints.

reef condor
#

Like oly math is deeper than much of undergrad math (see Evan Chen image on this)

stoic tinsel
#

Bc a scale of -1/2 from the centroid of ABC constructs MNP, and then u might be able to use Euler line for some additional info

lucid depot
novel karma
#

let p be a point inside square abcd such that apd = 65 and dpc=70 what is the degree measure of pda

#

seems easy but its hard idk

pallid tundra
#

set $\angle PDA=x$ and see what you can conclude from $\triangle APD$ and $\triangle CPD$

gilded haloBOT
#

elrichardo1337

pallid tundra
#

wait nvm that doesn't lead anywhere

latent berry
#

hi, any last minute tips for the COMC

vernal axle
odd imp
rustic path
#

@odd imp (excuse me for my English, is not my first language, if you don't fully understand or have any questions feel free to ask me) The maximum possible digit sum of a five-digit number is (9 + 9 + 9 + 9 + 9 = 45), which happens with the number 99999.

Since we want the digit sum to be 39, we need to subtract 6 units from that maximum.
So the question becomes: In how many ways can we subtract a total of 6 units from the digits of 99999, while keeping each digit between 0 and 9?
Now you can break it down in cases:
Case 1: Subtract all 6 units from 1 digit, since we have 5 digits there are 5 combinations.
Case 2: Subtract the 6 units from 2 digits, split the 6 into the sum of 2 integers (1+5, 2+4 or 3+3) and count in how many ways you assign these values to the digits. If you do it correctly you will get 50 combinations for this case.
Case 3,4, and 5: Subtract the 6 units from 3,4 and 5 digits respectively, this is similar to the case 2 but I won't write the combinations. If you do it all correctly the answer should be 210. You should search about combinations and integer partitions, it may be helpful

gilded haloBOT
#

zcrxs_

tiny spire
vital ermine
# odd imp

personally stars and bars is probably an efficient way of doing this but
a+b+c+d+e=39 where a is an integer from 1 to 9 while b,c,d,e are integers from 0 to 9
based on the bounds, we have
(8-a)+(9-b)+(9-c)+(9-d)+(9-e)=38
we get
a+b+c+d+e=6
by stars and bars, since we already set the bounds in the first step we can just do (6+5-1) C (5-1)=10C4
=210

Another way to add to @rustic path solution is since 9+9+9+9+9=45 using stars and bars is just basically let your digits be (9-a)+(9-b)+(9-c)+(9-d)+(9-e)=45 then it still becomes a+b+c+d+e=6 so thats still 10C4=210

#

i suggest learning stars and bars involvign inequalities

odd imp
odd imp
weary vortex
#

Found this interesting problem:

Find all natural solutions for $(a, b, c, d)$ such that $2^a + 3^b = 5^c \cdot d$ and $2^b + 3^a = 5^d \cdot c$

gilded haloBOT
weary vortex
#

Furthest progress I was able to make is finding that a = 1 (mod 4) and b = 1 (mod 4). Consider = as a congruence sign in this case

#

obviously (1,1,1,1) is a solution but I highly suspect that it is the only one. I'm unable to prove it tho

granite zenith
#

Could someone recommend me an introduction to combinatorics, especially to permutations and basic counting? I would really appreciate it

frank valve
gilded iris
#

how study for amc10

granite zenith
junior mason
granite zenith
#

Thanks

junior mason
#

Or Daniel A. Marcus

junior mason
hearty tendon
#

thats pretty advanced

#

aops c&p is good

#

or brualdi for a more classic reference

toxic arrow
#

Yo

rough frost
#

How do I solve this problem?

#

finding the value of S btw

solemn vapor
vernal axle
#

every time you see x^4+4y^4 🙂

rough frost
hoary vigil
#

hi guys

#

can anyone provide help for AMC12

#

hehe

brave horizon
#

Help guys
Ive read AOPS part on ellipse but I wanted to read more high level content... like line with ellipse and other juicy stuff... but other books dont teach stuff on problem solving they;re just slapping me with proofs... I get it that proofs are super important but I also wanna know the stuff intuitively...
Any help, even a lil bit is helpful
are there books for students trying to learn for engineering college and involves all of algebra, precalc, counting and calc necesarry in advanced levels? like super advanced and gives intuitive understanding like aops does?

🔥 🔥 🔥 🔥 🔥 🔥 🔥 🔥

worn siren
#

any book recommendations on functional equations?

zealous aurora
#

is anyone here planning to take putnam this December, HMU.

candid fern
worn siren
#

okay thanks man

subtle sundial
#

oh gosh this was 2 days ago

#

lmao

weary vortex
#

Consider a finite set of prime numbers $P = {p_1, p_2, p_3, \cdots, p_n}$. Show that, if there exist two integers $a, b$, which are coprime to all elements in $P$, such that, the given condition: $p\ |\ (a^p+b)$ is satisfied for each element in $P$, then $p_1 p_2 p_3 \cdots p_n\ |\ (a + b)$.

#

first time creating and submitting an olympiad problem myself. What do you think of it? is this good for Republican level olympiad?

near hill
#

Can't you just set both a and b to the product of all the given primes?

weary vortex
#

didn't think of it. Let me add a little condition

gilded haloBOT
weary vortex
#

This may be borderline non-sense of a problem description

near hill
#

The logical structure of the specified goal is a bit off:

if (there exist a and b such that bla bla) then (conclusion that involves a and b)
As written this doesn't make sense: the a and b in the conclusion are not inside the scope of the "there exist" quantifier.
You probably meant to write something like
Asuume p1, p2, p3, .... pn are a finite set of primes, and that a and b are integers satisfying (... coprime and p | a^p+b ...). Prove that p1p2p3...pn | a+b.

weary vortex
#

Consider a finite set of prime numbers $P = {p_1, p_2, p_3, \cdots, p_n}$ and integers a and b, such that:

  1. a and b are coprime to all elements in $P$. \
  2. For all elements in $P$, $p\ |\ (a^p+b)$.

Prove that, $p_1 p_2 p_3 \cdots p_n\ |\ (a + b)$.

#

I think this clears up the ambiguity

gilded haloBOT
near hill
#

Thanks, then it's clear what you mean.

#

I can't say whether or not the problem would be appropriate for any particular contest (and I don't even know what a "Republican level" olympiad is). However, it seems like it ought to be fairly straightforward for an audience that is prepared to tackle questions about primes and divisibility:
The goal p1p2p3...pn | a+b immediately suggests using the Chinese remainder theorem to split it into proving p | a+b for each p in P. From that point the plurality of primes disappears from the picture and we just have to prove that if p | a^p + b then p | a + b. But that's essentially Fermat's little theorem, so if we know that, we're done.
On the other hand, a contestant who doesn't already know Fermat's little theorem would probably be stumped. So the problem tests more for "do you know these two important theorems" than for ability to be clever after seeing the problem.

#

(By the way, the proof goes through unchanged without the assumption that a and b are coprime to each of the designated primes. When I suggested just multiplying them all together, I had misread the "if" in your first formulation, so I thought the task was to find such an a and b).

weary vortex
#

Alright. Thanks for the feedback, appreciate it a lot

crisp forum
outer thunder
#

given a^p + b = 0 mod p, we have a + b = 0 mod p or p | a+b

#

if each prime divides a + b, then the product must as well by the specific case of chinese remainder thm for primes

outer thunder
#

anyway who knows how to solve this

near hill
outer thunder
#

this nt is not hard problem

near hill
#

I might have misunderstood what it was you said you weren't using.

outer thunder
#

yeah, the thing I didn't use is fact #1.

#

in the problem

near hill
#

Okay, then we're in agreement.

near hill
#

In fact, the precise divisor you've landed at is not important -- only how many of the three prime factors of 30 are in it. Viewed in that way, the process really only have four states to compute an expectation at, rather than eight.

#
  • When we have all 3 prime factors, we're at 30 already and expect 0 more numbers.
  • When we have 2 prime factor, the only place we can move the next time is to 30, so we expect 1 more number.
  • When we have 1 prime factor, there are three next numbers to pick between -- one of them has a next expectation of 0, two of them have a next expectation of 1, totalling up to 1 + (1/3)·0 + (2/3)·1 = 5/3.
  • ...
stuck tartan
# outer thunder anyway who knows how to solve this

i think the key idea here is using states based on the number of prime factors of the number you are currently on, as the # of prime factors of each number in the list is non-decreasing. Let a_n = expected number of additional numbers needed to reach 30, given you are at a number with n prime factors for 0≤n≤3 and then solve the system of equations

#

a_3 = 0
a_2 = 1/2(a_2) + 1
a_1 = 1/4*a_1 + 1/2*a_2 + 1
a_0 = 1/8*a_0 + 3/8*a_1 + 3/8*a_2 + 1

#

with k prime factors in ur current number, there are 2^(3-k) possibilites for the next elmeent in the list since 30 = 2*3*5

outer thunder
#

alr i will now try this problem

stuck tartan
#

this the aops mock amc 12?

outer thunder
#

yeah i did trash on this

#

only like 101.5

#

holy chopped

stuck tartan
#

bro got the legendary imposible score

#

r u a junior?

outer thunder
#

wym impossible

#

i got it

stuck tartan
#

101.5 is not a possible score on the amc 12

outer thunder
#

wait i literally got it though

#

i can check

#

yeah ur right

#

it wouldn't be possible

#

and i got 103.5

#

the breakdown was 15 C 1 IC

#

how tf does one recognize something like that

outer thunder
#

hbu

stuck tartan
#

yeah same

stuck tartan
outer thunder
#

true dat

stuck tartan
#

since your score is determined by a linear comibnation of 6 and 4.5

#

so gcd(6,4.5) | score

#

by euclidean

#

anwyays

#

i think i did like 1-22 on this

#

and sillied like

#

i forgot

#

i sillied 2 of them

#

i sillied p17 cuz i added wrong

#

and i sillied one of hte early ones (the sqrt(2k) one) cuz i missed a case

outer thunder
#

the best one I ever got was 126

#

hbu

stuck tartan
#

best mock score in general?

outer thunder
#

yes

stuck tartan
#

oh alr

#

i feel like it depends hella on the test itself tho

outer thunder
#

ikr

stuck tartan
#

cuz user made mocks differ vastly in dificulty

outer thunder
#

this one was really difficult

stuck tartan
#

really?

#

i thought this one was like

#

reaonable difficulty

outer thunder
#

idk maybe

#

look at like amc12b 2018 i think

stuck tartan
#

cuz p15-20 were rlly easy in comparison

outer thunder
#

might've been the easiest test of all time

#

15 tripped me up tho

stuck tartan
#

fr

#

holy yap of a probelm

#

p16-p19 were really eas ytho

outer thunder
#

so damn you are really smart man

stuck tartan
#

not reallly

#

but like p19

#

they give you all the info

outer thunder
#

how long have you been mathematicing

stuck tartan
#

cuz i didn't really study much in middle school due to covid

#

and then i studied over the summer

#

after getting like a 16 on amc 8 💀

#

but i failed like 9th grade amcs

outer thunder
#

icl this is my first year like

stuck tartan
#

96/87 or smthg like that

outer thunder
#

i feel so behind how will I ever get to usamo yk

stuck tartan
#

and then uh

stuck tartan
#

i felt like a bum after not qualling 9th grade

outer thunder
#

doesn't stop until being ter tao

#

which is never

stuck tartan
#

lmao

outer thunder
#

wann vc

stuck tartan
#

vc?

outer thunder
#

yes

stuck tartan
#

for wut

weary vortex
worldly oar
#

Ya do you know about any olympiaf calculas course

iron terrace
#

What are the imporant formulas that I need to remember for mathcounts

pallid tundra
pallid tundra
crisp forum
# worldly oar Ya do you know about any olympiaf calculas course

The calculus course through the art of problem solving is good. I have seen some community colleges have honors calculus courses that use spivak that would give you a similar experience. You won't see Olympiad style calculus classes as it's not in highschool contests. It's probably better to move into real analysis at this point like Pugh or rudin if you want hard problems.

violet dagger
#

*self-studying

#

the AoPS course is very superficial imo

oblique hamlet
#

is anyone able to help me here😭

pseudo forge
oblique hamlet
#

does anyone know a lot about it

pseudo forge
#

Oh lemme check

oblique hamlet
#

aight

pseudo forge
#

I've never seen this but ig this is like Olympics math?@oblique hamlet

oblique hamlet
#

hm

#

it's quite famous

#

but the thing is it's really

#

ambiguous

#

changes a lot

pseudo forge
#

Ohhh

oblique hamlet
#

it got a lot harder

#

and the topics are fluctuating

pseudo forge
#

Oh my God

oblique hamlet
#

so I'm like tryna find someone who knows a lot

#

about it

pseudo forge
#

I hope you will find someone but it's sure not me sob

oblique hamlet
#

😭 dang

#

alr

stuck tartan
#

like 2023/2024 were quite easier in difficulty in comparison

oblique hamlet
#

???

#

😭wait what

stuck tartan
#

wdym

#

like if you take the difficulty of the 2022 amc 10

#

it was much harder than the 2023 amc 1`0

#

2024 amc 10 was slightly harder than 2023 amc 10

#

but it was still quite easy

#

especially 2024 amc 10b

jagged shuttle
#

Doing the AMC 10

#

I need to lock tf in

#

How and what do I practice

#

Rq

#

And cram in some time

#

I have 3 days

#

I’m hella scared

soft vigil
#

not too much

jagged shuttle
lunar pilot
#

@soft vigil

scenic cape
#

any doctors engineers or technicians in the server

pallid tundra
#
  1. why are you asking this in a pre university channel
  2. why are you even asking this in the math server at all
tiny raven
sterile void
#

guys any ghp tips??

hazy flame
#

i need help🥲

jaunty ginkgo
#

Oh wait

#

There is only one way I could think of

ornate blade
# hazy flame i need help🥲

recall from precalculus that this function has a bounded range

you can set $\frac{-13n + 9}{n^2 + 13} = k$, rearrange and set the discriminant to $0$

gilded haloBOT
jaunty ginkgo
#

Yeah I was gonna say...

#

(-13x+9)/(x^2+13) >=1 or (-13x+9)/(x^2+13) =<-1

#

the only valid values are 2 to 12 and then we try all lmao

ornate blade
#

it should be immediately clear which quadratics are factorisable and which aren't

#

once you rearrange

jaunty ginkgo
#

bearlain fair, I'm just bad at integer number question ig

hazy flame
#

oooo okay thank you

ornate blade
sleek ivy
#

to prep for amc12

#

its on aops website

novel karma
#

11

#

I know that its casework but idk

sleek ivy
#

casework

#

if the 6 is first, then he couldnt have rolled a 1

#

if the 6 is 2nd then 1/5 chance

#

if the 6 is 3rd then 2/5 chance

#

if 6th is 4th then 3/5 chance

#

thats to roll a 1

#

to not roll a 1

#

do 1- whatever that adding allat gets you

midnight valley
#

I understand question 9 but I wanna know how people go about the question when they first see it

#

because it took me a second

novel karma
#

@sleek ivy wait why? Why is it those fractions?

sleek ivy
#

we're asking

#

roll a dice 4 times

#

what are the odds that you get a 6 before you get a 1

#

assume you get a 6

#

there are 4 cases

#

roll 1 is a 6, roll 2 is a 6, roll 3 is a 6, roll 4 is a 6

#

now itll be easier to find the probability that you will get a 1, rather than that you wont

#

so if you get 6 first you defo wont get a 1 before a 6

#

if you get a 6 2nd, you need to get first a 1 then a 6, so the probability will be 1/6*1/6

#

then a 6 3rd, you can either get a 1 first or a 1 2nd, so 2 cases here

#

then 3 cases for the 3rd

#

you consider them

#

add the probabilities at the end

#

then do 1-that

novel karma
#

Wait what about the /5 fractions first

sleek ivy
#

yea i was tripping

#

shoulda been over 6

near hill
#

Ooh, perhaps rewrite further to 2^127(1+(3/2)+(3/2)^2+...+(3/2)^127) and dig up/derive the formula for a finite geometric series for the right-hand factor.

#

Which leads to answer ||(C)||.

midnight valley
#

I thought about that but I think I made a mistake setting it up

#

probably easiest way yeah

near hill
violet dagger
#

can someone please help, i have no idea how to solve this, spent the past 15 mins on it

#

it’s just so confusing

near hill
#

It smells a lot like a power-of-a-point problem.

violet dagger
near hill
#

Hmm, power of a point tells us that PC = 9, so in principle that's enough to draw the diagram and find the circle that goes through the four points. But to do that with coordinate bashing would still be painful.

novel karma
stuck tartan
stuck tartan
#

since AC^2 + CD^2 = AD^2, angle ACD is 90 degrees, so AD is a diameter

#

r^2 = 73

violet dagger
#

what do i do then

stuck tartan
#

or when to use it

violet dagger
#

when to use it

#

like i know the formula but i have no clue what could motivate me to use it in this specific problem

stuck tartan
#

the 60 degree angle

#

and the fact that ur given many legnths, so you can find more lengths

violet dagger
#

yeah that makes sense, i couldn’t figure out how to use the 60 degree angle at all

stuck tartan
#

oh ok

#

yeah angles + ton of side lengths is alwyas LOC or LOS

#

most of the time

near hill
#

And law of cosines is particularly nice for 60° because the cosine is rational.

midnight valley
#

does anyone have tips/where i can learn for how to learn how to apply the AM-GM inequality (I know I can look at practice questions)

#

I can sometimes see when it could technically be applied but I often don't know how to set it up

#

when it's not straightforward

soft vigil
pallid tundra
#

there are tons of compilations of inequality problems you can practice on

stuck tartan
soft vigil
#

both ways work but i think the one i stated is maybe a bit easier to see

#

but realistically it depends on the person

stuck tartan
#

yeah it is

#

i js didn't realize 30-60-90 💀

novel karma
stuck tartan
#

Discus is a ridiculous ass mock

#

I’m Js happy I solved p22 😭

novel karma
#

Last minute amc advice?

azure bloom
#

Good luck bro

#

@novel karma Sorry but I don't accept DM's from people I don't know

novel karma
#

You good sorry bro

azure bloom
#

No problem

bronze widget
#

It's so over

#

Good luck everyone

odd imp
sly pawn
#

THE AMC IS TOMORROW GUYS

#

THIS IS BIG

sly pawn
sly pawn
#

Big rest

#

Rest a lot

novel karma
sly pawn
#

Rest is big, makes a big difference

novel karma
#

Yeah fs

sly pawn
#

Btw are you taking the 10 or 12?

novel karma
#

10

proven tendon
#

Good luck, guys

sly pawn
#

Ok the 10 is much harder to advance if you take it so good luck

proven tendon
#

🫶

sly pawn
#

I'm predicting that the cutoff for 10 will be something like 100-105 and 12 will be 75-85

#

That's the usual range I believe

novel karma
#

I have morning swim practice tmr. Should I go

sly pawn
#

But sleep early

novel karma
#

Ok

sly pawn
#

Getting like 8 hours of sleep and waking up atleast 3-4 hours before the test is a good idea

sly pawn
# novel karma Ok

I got some practice 10 problems on the harder side if you want them btw

#

can post here

sharp olive
#

Have you guys checked Aops mock test yet, this is the 10 one

sly pawn
#

haven't done it yet no

swift peak
#

Good luck on amc 10/12 guys!

novel karma
sly pawn
#

Yo does anyone remember the parking function counting technique btw?

tiny eagle
#

Forgot to multiple volume of sphere by 4/3 😢

#

I silly so much

real pier
surreal willow
#

Guys how yall feeling bout the amc tomorrow?

sly pawn
scenic cape
#

If i got somewhat around 50 last yr at amc 10

#

Would it be impossible for me to get like 90 in amc 12 this yr

tiny eagle
#

But it’s hard, I’ve been mocking like average 100

#

Which is pretty bad

surreal willow
#

Someone got 60 one year

#

And the next year they got 120+

surreal willow
scenic cape
tiny eagle
surreal willow
surreal willow
#

If your getting 100s it might be enough

#

What grade u in btw?

scenic cape
tiny eagle
#

I’m in 10th

surreal willow
#

Oh same

tiny eagle
#

Cool, have u qualified for aime before?

surreal willow
#

Nah but I think I’ll be able to this year

tiny eagle
#

Nice, gl bro

surreal willow
#

Thx

#

Gl to u too

tiny eagle
#

Ty

#

We BOTH are qualifying for aime trust

surreal willow
#

Real lol

surreal willow
#

The aime floor for amc 12 is usually 80s

scenic cape
surreal willow
#

What bout the 90?

scenic cape
#

I got 50 this yr

#

But im aiming for 90 this yr

#

Well not me but my friends

surreal willow
#

Ohhhhhhh

#

Okok

scenic cape
#

Do u think thats like realistic

surreal willow
#

Yea it’s def possible bro

scenic cape
#

Possible but unlikely?

surreal willow
#

Bro it definitely possible if you tried and studied

#

You just gotta work out what you want beforehand

#

If you want a 90 then try to answer like 17 questions hoping you get 15 correct

#

Wait not even 15

#

13

stoic tinsel
surreal willow
#

Then you have the 12 points from the unanswered questions which can give you a 90

stoic tinsel
#

15/15 is 105

deep walrus
#

Who’s ready for the AMC 10/12 tmrw?

stoic tinsel
#

I’m hella worried

#

U?

deep walrus
#

Is a 117 a good score for jmo qual

stoic tinsel
#

It mostly depends on AIME now

stuck tartan
deep walrus
#

I gotta lock in for aime tho

#

I’m usually getting 5-6 correct 💀

stuck tartan
#

wut grade

deep walrus
#

9

stuck tartan
deep walrus
#

I’m cooked 💀😭

stuck tartan
#

or mayb 10

#

ts aime update frying me 💔

tiny eagle
#

I feel like a bum as a 10th grader trying to aime qual when there are 9th and 8th graders easily qualifying and going for a/jmo

stuck tartan
#

if im being real the difficulty to aime qual is underemphasized cuz people online make it seem really easy

#

js keep doing what ur doing 🙏

tiny eagle
surreal willow
#

Damnnnnn

#

You taking the AMC tomorrow?

little lintel
#

yes

#

fried

snow thistle
#

cuz im only gonna get like 130 on amc so before i was gonna have to get 12 on aime or something

#

but now i can get 11 yippee

stuck tartan
#

ts sounds like the gaokao bro 😭

little lintel
surreal willow
#

Oh aight

surreal willow
snow thistle
#

but do not do that

#

umm

#

for amc 10 just grind problems 20-25 or smth

#

amc is too fast paced for me

little lintel
#

bruh same

snow thistle
#

i feel like prepping aime is better

little lintel
#

but i can do 20 qs max

#

too little time for more

snow thistle
#

because if u study for aime itll still make you better at amc 10 but the other way around not so much

snow thistle
#

then maybe you should just do timed mocks to improve ur speed

little lintel
#

i shall

#

staying up until 3am tn

snow thistle
#

usually i score low cuz my accuracy rate is bad

little lintel
#

doing mocks

snow thistle
#

wait

#

thats like

#

not a good idea at all

little lintel
#

😛

snow thistle
#

im not doing any math today

#

the day before

#

like realistically trying to cram the night before is not gonna help you as much as you think

#

its not like a school test where you can cram all the info

#

because u dont know what the test is gonna be like

#

its better to just rest and think about how ur gonna go about it

little lintel
#

yeah imma just read thru some formula sheets or wtv

snow thistle
#

some people dont do math like the whole week before

snow thistle
little lintel
#

there is gonna be a misplaced problem that i sink too much time into

#

i have to know to skip

snow thistle
#

yeah fs

#

that happens to me too

snow thistle
stuck tartan
#

egmo is peak

#

i've done like 3 chapters but i kinda left it

snow thistle
#

after chapter 4 its kinda stinky

#

i didnt read most of them

stuck tartan
#

bary bash 🗣️

snow thistle
#

the inversion chapter was the only one that was semi useful

#

i dont spend that much time doing oly geo

pure agate
#

guys what will be the qualifying score for the amc 10 this year

snow thistle
#

for aime?

pure agate
#

yeah

snow thistle
#

uhh

#

depends on the difficulty

#

if its easy then probably like 105

#

but i feel like the questiosn are gonna be weird this year

#

like last year

#

they were weird last year but also easy

pure agate
#

yeah last year was weird

snow thistle
#

so maybe this year theyll be weird and hard

pure agate
#

nooooo

#

i hope they are normal and hard

snow thistle
#

but 110+ should be qual fs

snow thistle
pure agate
#

yeah

snow thistle
#

honestly now that im thinking about it the thing to make aime twice as important probably didnt even matter that much

pure agate
#

are yall eighth ninth or tenth grade

snow thistle
#

like normally u probably wouldve need 240ish to qual which is 132+11

#

and this year i feel like its gonna be around 350

#

which is still 132+11

#

😭

pure agate
#

🙁

snow thistle
#

for jmo i mean

#

not usamo im not taking 12

snow thistle
pure agate
#

lol

#

can i get my score from a 99 to above a 105 in a week?

#

like is it even possible?

snow thistle
#

yeah probably

#

like its only 1 question difference

#

if you get lucky u can

pure agate
#

i can only hope ...

snow thistle
#

unless ur mock score is 140+ it can still vary a lot

pure agate
#

i make so many stupid mistakes 🙁

snow thistle
#

last year ik someone who was mocking low 120s and got 138

pure agate
#

what did you get last year

snow thistle
#

he said the amc 10b felt like an amc 8 😭

snow thistle
#

lets not talk about this

pure agate
#

lol

snow thistle
#

i got fried on both im gatekeeping my score

#

and on aime

pure agate
#

nooooooooooooo

#

above 110?

snow thistle
#

yeah but not by that much 💀

pure agate
#

hey if it qualifies it qualifies

snow thistle
#

i guess but now im more concerned with jmo

#

im aiming for 135

#

actually my goal index is 132 + 11 😭

pure agate
#

lessgo

snow thistle
#

last year a lot of people got 11 cuz the aime was easy

#

both of them

#

so this year we'll have to see how it goes

pure agate
#

yeah

#

if I qualify 💀

snow thistle
#

if i do bad on 10a its gonna cook my performance on everything else 😭

#

im going to hmmt on friday right after amc 10a

pure agate
#

wait are you taking both a and b

snow thistle
#

and when i get back i have 10b

snow thistle
snow thistle
#

i believe in u

pure agate
#

thanks lol

stuck tartan
sly pawn
sly pawn
#

But I also knew like nothing then

sullen zenith
#

Is the test going to be online or on paper?

#

Is the test going to be online or on paper?

surreal willow
sullen zenith
#

I'm taking the 10A at a test center nearby (UTD)

surreal willow
#

oh

#

if its held at a university its prob gonna be on paper

sullen zenith
#

Oh okay. Thanks! Good luck!

surreal willow
#

np lol

#

gl to u too

hexed lion
#

gl everyone!

dapper sand
#

gl guys

deep walrus
#

Gl everyone!!!!

cloud dome
#

im taking amc 10 no prep first time

swift imp
#

Guys I’m getting a 6 or a 7

cloud dome
#

help

#

its tmr morning

swift imp
#

What time

#

And it’s on paper

#

I’ve been there the last 3 years for amc

real pier
#

Which contest are u all talking about?

ruby ivy
real pier
#

Oh its prestage of aime; ic

woven tapir
#

Hello 🙂
I have the opportunity to take two selection exams to maybe get a spot in the national team of my country for the IMO. But I'm not sure if I'm able to solve question like the ones in these exams in just 240 minutes. I'd like to get some idea of things I should know before I take these exams, i still have 2 weeks to prepare.

scenic cape
#

Solving 10 questions and leaving the rest will give me 82.5

#

Would this be enough for amc 12?

#

I heard that the rules changed for this year

#

Like international students result doesnt affect the average

slow mason
#

hi

trim bramble
#

good luck yall

random lichen
#

how was the test if u took it

surreal willow
#

Rise and Shine Mathletes

#

Good luck on all ur tests today!

bronze shoal
#

What are some number tricks I should abt 2025

#

For the AMC 10

vestal yacht
vestal yacht
ornate blade
#

soo, if you work hard enough you can guarantee yourself an AIME spot

#

that's like top 10% I know, but you really don't want to waste a year if you have the time and energy to practice
time just keeps on ticking and soon you'll be trying to qualify in senior year

zealous aurora
#

anyone down to study for putnam together?

ornate saffron
#

wait, y'all participate in the amc to qualify for aime?

#

oh lord, i am so doomed...

scenic cape
#

Its never been this way

small loom
surreal willow
#

Did ya get into aime last year?

swift imp
#

I got a 150

near hill
#

AMC 10/12 A takes place today. Everyone please be aware that competition rules forbid discussing the problems online until 8.00 ET the day after the contest, which (if my timezone conversions are right) will be in 19½ hours from now.

late flint
#

what happens if u do discuss it

#

do u die

near hill
#

You run a high risk of getting banned from the server, at least.

small loom
#

I didn't make it sadly, I missed the cutoff on 10B by 4.5 points 🙁

tiny eagle
#

Gl everyone I hope we all do well 🙏

late flint
#

i would be sad if yall banned me

marble orbit
#

collegboard ahh

surreal willow
#

Ur Indian right?

#

I think I remembered you complaining about how you didn’t make the amc 10 or something in 8th grade

#

Was that u?

surreal willow
#

Trust

late flint
#

oh shi

blazing comet
#

By any chance is anyone here doing the british algorithmic olympiad 💀

cloud dome
#

anyone here finished amc 10?

blazing comet
#

Wanted to ask how much python do u actually ahve to know

deep monolith
blazing comet
#

Hmmmmmmmmmmmmmmm

deep monolith
#

u dont need python specifically though

#

any decent language would prolly work

blazing comet
#

Do u think i can learn in a week 💀

deep monolith
#

uhhhh

#

u might be a lil cooked

blazing comet
#

Lmao

deep monolith
#

ig u can learn the basics

#

but nowhere near enough what u need to do the bao lol

mild raft
#

i answered 2 questions on amc 10 💀

#

didn't rlly study but that's still atrocious

near hill
mild raft