AMC 10 Preparation over 6 months

by raresillypanther, Apr 22, 2025, 10:18 PM

Hi, I'm currently in 8th grade and I have about 6 months left to prepare for the AMC 10, and I really want to qualify for AIME and get above a 100. I took the AMC 8 this year and did really bad, with a score of 16, and a 35 on the MATHCOUNTS Chapter test. I have a feeling I would get about a 70 on the AMC 10 now, so I want to be able to improve by 30 points in 6 months. Is that possible? I have summer break coming up so I feel like I could study for about 4 hours a day every single day, and I'm willing to if that's what it takes. Do you have any ideas for what resources I should use? I know about Alcumus and I have some of the AOPS books, but not all of them. If you have any tips, let me know. Thank you so much!

AMC 10

AMC 10 prep

AMC

geometry problem

by kjhgyuio, Apr 20, 2025, 10:21 PM

........

Attachments:

geometry

pythagoras

Weird Similarity

by mithu542, Apr 18, 2025, 6:03 PM

Is it just me or are the 2023 national sprint #21 and 2025 state target #4 strangely similar?

2023 Natioinal Sprint #21 wrote:

A right triangle with integer side lengths has perimeter $N$ feet and area $N$ ft^2. What is the arithmetic mean of all possible values of $N$ ?

2025 State Target #4 wrote:

Suppose a right triangle has an area of 20 cm^2 and a perimeter of 40 cm. What is
the length of the hypotenuse, in centimeters?

This post has been edited 2 times. Last edited by mithu542, Apr 18, 2025, 6:04 PM

MATHCOUNTS

geometry

perimeter

easy olympiad problem

by kjhgyuio, Apr 17, 2025, 2:00 PM

Find all positive integer values of $x$ such that
$\sqrt{x - 2011} + \sqrt{2011 - x} + 10$ is an integer.

This post has been edited 2 times. Last edited by kjhgyuio, Apr 17, 2025, 2:01 PM
Reason: nil

Olympiad

2500th post

by Solocraftsolo, Apr 16, 2025, 3:09 PM

i keep forgetting to do these...

2500 is cool.

i am not very sentimental so im not going to post a math story or anything.

here are some problems though

p1p2p3

p4

This post has been edited 5 times. Last edited by Solocraftsolo, Apr 16, 2025, 3:40 PM

probability

expected value

many posts

Math and AI 4 Girls

by mkwhe, Apr 5, 2025, 11:24 PM

Hey everyone!

The 2025 MA4G competition is now open!

Apply Here: https://xmathandai4girls.submittable.com/submit

Visit https://www.mathandai4girls.org/ to get started!

Feel free to PM or email mathandai4girls@yahoo.com if you have any questions!

Attachments:

Girls

2025 MATHCOUNTS State Hub

by SirAppel, Apr 1, 2025, 12:22 PM

Previous Years' "Hubs": (2022) (2023) (2024)Please Read

Now that it's April and we're allowed to discuss ...

CA: 43 (45 44 43 43 43 42 42 41 41 41)
NJ: 43 (45 44 44 43 39 42 40 40 39 38) *
NY: 42 (43 42 42 42 41 40)
TX: 42 (43 43 43 42 42 40 40 38 38 38)
MA: 41 (45 43 42 41)
WA: 41 (41 45 42 41 41 41 41 41 41 40) *
VA: 40 (41 40 40 40)
FL: 39 (42 41 40 39 38 37 37)
IN: 39 (41 40 40 39 36 35 35 35 34 34)
NC: 39 (42 42 41 39)
IL: 38 (41 40 39 38 38 38)
OR: 38 (44 39 38 38)
PA: 38 (41 40 40 38 38 37 36 36 34 34) *
MD: 37 (43 39 39 37 37 37)
AZ: 36 (40? 39? 39 36)
CT: 36 (44 38 38 36 35 35 34 34 34 33 33 32 32 32 32)
MI: 36 (39 41 41 36 37 37 36 36 36 36) *
MN: 36 (40 36 36 36 35 35 35 34)
CO: 35 (41 37 37 35 35 35 ?? 31 31 30) *
GA: 35 (38 37 36 35 34 34 34 34 34 33)
OH: 35 (41 37 36 35)
AR: 34 (46 45 35 34 33 31 31 31 29 29)
NV: 34 (41 38 ?? 34)
TN: 34 (38 ?? ?? 34)
WI: 34 (40 37 37 34 35 30 28 29 29 29) *
HI: 32 (35 34 32 32)
NH: 31 (42 35 33 31 30)
DE: 30 (34 33 32 30 30 29 28 27 26? 24)
SC: 30 (33 33 31 30)
IA: 29 (33 30 31 29 29 29 29 29 29 29 29 29) *
NE: 28 (34 30 28 28 27 27 26 26 25 25)
SD: 22 (30 29 24 22 22 22 21 21 20 20)

Cutoffs Unknown

* means that CDR is official in that state.

Notes

For those asking about the removal of the tiers, I'd like to quote Jason himself:

peace09 wrote:

learn from my mistakes

Help contribute by sharing your state's cutoffs!

This post has been edited 76 times. Last edited by SirAppel, Tuesday at 10:15 PM

MATHCOUNTS

State hub

Nats 2024 cutoff Map

by MathyMathMan, Apr 4, 2024, 1:15 AM

2024 MATHCOUNTS Nats Cutoff Map

Greetings!

I should first and foremost thank those who helped with this project along the way. This idea is fully inspired by past South Dakota alumni that attended my school. The original ideas were created by @anser and @techguy2. I would also like to thank @peace09 for agreeing to collaborate with me on the scores and ratings during the 2024 state competitions throughout the country.

@peace09's post Cutoffs and Scores

Please state your state and cutoff score. (4th place) You can also provide the 3rd, 2nd, and 1st place scores as well. People from different territories can also provide their state's scores as well. I will try my best to keep this map updated until we get all the scores. You are also free to discuss states and nationals stuff too if you want.

(Btw congratulations to everyone who made nationals, I hope to see you guys there too!)

Nats qualification scores

Attachments:

This post has been edited 4 times. Last edited by MathyMathMan, Apr 8, 2024, 3:51 AM

MATHCOUNTS

Columbia

HCSSiM

AMC 8 Scores

by ChromeRaptor777, Apr 1, 2022, 3:41 AM

Loading poll details...

As far as I'm certain, I think all AMC8 scores are already out. Vote above.

AMC 8

poll

AMC

ENTER YOUR CHAPTER INVITATIONAL SCORE

by ihatemath123, Feb 27, 2021, 7:23 PM

I'll start:
$\begin{tabular}{|c|c|c|c|c|}Username&Grade&Sprint&Target&TOTAL \\ \hline ihatemath123&7&26&6&38 \\ \hline \end{tabular}$

chapter invitational

MATHCOUNTS

Combinatorics #1

by utkarshgupta, Feb 17, 2017, 1:57 PM

JEE preps are adversely impacting my thinking ability.
So I will try and do something that I didn't even do when I was actually preparing for the olympiads

Actually think !
It's trivial I know I know...
But it was fun !

Problem (ISL 2015 C1) :
In Lineland there are $n\geq1$ towns, arranged along a road running from left to right. Each town has a left bulldozer (put to the left of the town and facing left) and a right bulldozer (put to the right of the town and facing right). The sizes of the $2n$ bulldozers are distinct. Every time when a left and right bulldozer confront each other, the larger bulldozer pushes the smaller one off the road. On the other hand, bulldozers are quite unprotected at their rears; so, if a bulldozer reaches the rear-end of another one, the first one pushes the second one off the road, regardless of their sizes.

Let $A$ and $B$ be two towns, with $B$ to the right of $A$ . We say that town $A$ can sweep town $B$ away if the right bulldozer of $A$ can move over to $B$ pushing off all bulldozers it meets. Similarly town $B$ can sweep town $A$ away if the left bulldozer of $B$ can move over to $A$ pushing off all bulldozers of all towns on its way.

Prove that there is exactly one town that cannot be swept away by any other one.

Solution :
Let the statement be true for $k \le n$ .

Let the towns be labelled $T_i$ from left to right and their left and right bulldozer $l_i,r_i$ respectively.

Now we have to prove the statement for $n+1$ towns..
Consider the rightmost town $T_{n+1}$ and let some $r_j$ collide with $l_{n+1}$

Then there are two cases :
$l_{n+1}$ derails all such $r_j$ . Then obviously $T_{n+1}$ is the new winner town !

If some $r_j$ derails $l_{n+1}$ . Then obviously since there is no other bulldozer between this point and $T_{n+1}$ ,
$r_j$ sweeps $T_{n+1}$
Since there are no bulldozers between $T_j$ and $T_{n+1}$ , The first $j$ towns live unaffected by the remaining towns. And hence by inducton we are done.

ISL

2015

combinatorics

Submit

Here goes first post of 2025! Great blog.
by math_holmes15, Jan 14, 2025, 8:53 AM
First post of 2024
by Yiyj1, Feb 8, 2024, 5:40 AM
First post of 2023
by HoRI_DA_GRe8, Jul 22, 2023, 7:45 AM
Nice blog ! Your isogonality lemma is really powerful !
by 554183, Oct 14, 2021, 8:55 AM
Post plss....
by samrocksnature, Apr 11, 2021, 10:12 PM
alas,this is ded
by Hamroldt, Mar 18, 2021, 4:13 PM
Thanks for the nice blog.
by Feridimo, Mar 6, 2020, 4:17 PM
I think this might be silly but ... when should we expect to have another post ?? I am very keen to see it
by gamerrk1004, Nov 4, 2019, 4:54 PM
Let's all echo what's written in the blog description - Stay Insane / 'Cause it's your labor, will and pain/ That takes you to the top of soda fountain
by Kayak, Oct 2, 2017, 7:18 PM
hey utkarsh jee is over now ... continue your elementary blog pleaseeeeeee!
by kk108, Jun 17, 2017, 11:19 AM
Congrats on becoming a contest moderator!
by Ankoganit, Mar 9, 2017, 5:22 AM
INTERSTING BLOG
by kk108, Feb 19, 2017, 2:04 PM
I have no plans for this blog right now....
No time here people !
But lets see....
I may try some combinatorics
by utkarshgupta, Feb 15, 2017, 12:47 PM
Thanks for the nice blog!
by Orkhan-Ashraf_2002, Feb 13, 2017, 6:34 PM
Revive it!!!
Best blog out there, for sure!
by rmtf1111, Jan 12, 2017, 6:02 PM
Oh you certainly will..
Bu I don't think I will
by achilles04, Feb 11, 2015, 6:24 PM
Thanks
Hope you are there too ...

And hope I get selected
by utkarshgupta, Feb 11, 2015, 11:14 AM
Nice blog ..
keep it up and you might one day become a mathematician lIke me
( just joking )
Btw don't forget us after going to imotc.
by achilles04, Feb 10, 2015, 4:49 PM
nice blog!!!!!
by pradhit, Feb 7, 2015, 11:51 AM
No ideas about the cut off but should be less than 60 according to me...
So you never know
by utkarshgupta, Feb 6, 2015, 4:06 PM
Hi utkarsh,
what do u expect the cutoff to be this year??

by kgdpsdurg, Feb 6, 2015, 12:41 PM
Hi utkarsh
How many did you clear in INMO 2015?
by moldevort, Feb 1, 2015, 3:59 PM
@ Anonymous Bunny
If we both (that should have included me) are lucky enough !
by utkarshgupta, Sep 17, 2014, 2:44 AM
Nice blog. Great job!

If I am lucky enough, hopefully we shall meet at IMOTC.
by AnonymousBunny, Sep 16, 2014, 8:08 PM
Thanx all !!

If anyone wish to contribute anything just pm !

I will add u to the contributors' list !
by utkarshgupta, Sep 16, 2014, 6:35 AM
doing good progress!! btw nice blog.
by rachitgoel, Sep 15, 2014, 4:21 PM
Nice blog.
by Kezer, Aug 5, 2014, 4:04 PM
Hi Utkarsh! Wonderful blog. Keep it up.
by YESMAths, Jul 20, 2014, 1:36 PM
I need some shouts and characters

by utkarshgupta, Jul 20, 2014, 4:22 AM