Stay ahead of learning milestones! Enroll in a class over the summer!

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k a May Highlights and 2025 AoPS Online Class Information
jlacosta   0
May 1, 2025
May is an exciting month! National MATHCOUNTS is the second week of May in Washington D.C. and our Founder, Richard Rusczyk will be presenting a seminar, Preparing Strong Math Students for College and Careers, on May 11th.

Are you interested in working towards MATHCOUNTS and don’t know where to start? We have you covered! If you have taken Prealgebra, then you are ready for MATHCOUNTS/AMC 8 Basics. Already aiming for State or National MATHCOUNTS and harder AMC 8 problems? Then our MATHCOUNTS/AMC 8 Advanced course is for you.

Summer camps are starting next month at the Virtual Campus in math and language arts that are 2 - to 4 - weeks in duration. Spaces are still available - don’t miss your chance to have an enriching summer experience. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following upcoming events:
[list][*]May 9th, 4:30pm PT/7:30pm ET, Casework 2: Overwhelming Evidence — A Text Adventure, a game where participants will work together to navigate the map, solve puzzles, and win! All are welcome.
[*]May 19th, 4:30pm PT/7:30pm ET, What's Next After Beast Academy?, designed for students finishing Beast Academy and ready for Prealgebra 1.
[*]May 20th, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 1 Math Jam, Problems 1 to 4, join the Canada/USA Mathcamp staff for this exciting Math Jam, where they discuss solutions to Problems 1 to 4 of the 2025 Mathcamp Qualifying Quiz!
[*]May 21st, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 2 Math Jam, Problems 5 and 6, Canada/USA Mathcamp staff will discuss solutions to Problems 5 and 6 of the 2025 Mathcamp Qualifying Quiz![/list]
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All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
May 1, 2025
0 replies
9 AMC 10 Prep
bluedino24   21
N a few seconds ago by bluedino24
I'm in 7th grade and thought it would be good to start preparing for the AMC 10. I'm not extremely good at math though.

What are some important topics I should study? Please comment below. Thanks! :D
21 replies
bluedino24
May 2, 2025
bluedino24
a few seconds ago
Easy number theory
britishprobe17   29
N 7 minutes ago by slamgirls
The number of factors from 2024 that are greater than $\sqrt{2024}$ are
29 replies
britishprobe17
Oct 16, 2024
slamgirls
7 minutes ago
AIME qualification
GallopingUnicorn45   3
N 23 minutes ago by Gavin_Deng
Hi, so I'm in 4th grade and I'm taking AMC 10 (both A and B) this year in November, and I really want to get AIME. Last time I did the 2023 AMC 10A was like four months ago (?) and I got 10 correct.

So I finished Intro to Counting and Number Theory and am almost done with Intro to Algebra B. Obviously there's some questions I don't know in those books, but I understand at least 90% of it.

I'm taking Intro to Geometry in the summer (it ends one week after AMC 10) and I'm just going to go over Intro to Algebra, Intro to Counting, and Intro to Number Theory (basically the questions I don't know and incorrect problems), plus Competition Math for Middle School and AoPS Volume 1: The Basics.

I will also do the past year AMC 10 papers, but is there anything else I can do to prepare and get into AIME? Thanks!
3 replies
GallopingUnicorn45
an hour ago
Gavin_Deng
23 minutes ago
How to get a 300+ on the NWEA MAP MATH test (URGENT)
nmlikesmath   15
N 31 minutes ago by superhuman233
I have 4 days till this test, I'm wondering how do I get a 300+ and what do I need to know, thank you.
15 replies
nmlikesmath
May 3, 2025
superhuman233
31 minutes ago
No more topics!
EMC Wrangle Favorites #1
peace09   9
N Apr 8, 2025 by fruitmonster97
Is it possible to dissect an isosceles right triangle into multiple similar triangles such that none of them are congruent? If so, provide an example. If not, prove it is impossible.
9 replies
peace09
Jul 28, 2022
fruitmonster97
Apr 8, 2025
EMC Wrangle Favorites #1
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G H BBookmark kLocked kLocked NReply
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peace09
5419 posts
#1
Y by
Is it possible to dissect an isosceles right triangle into multiple similar triangles such that none of them are congruent? If so, provide an example. If not, prove it is impossible.
This post has been edited 1 time. Last edited by peace09, Aug 2, 2022, 2:25 PM
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ryanbear
1056 posts
#2 • 5 Y
Y by Mango247, Mango247, Mango247, AbhayAttarde01, Exponent11
yes$                $
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peace09
5419 posts
#3
Y by
peace09 wrote:
into multiple similar triangles
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alpha_2
803 posts
#4 • 1 Y
Y by Mango247
ryanbear wrote:
yes$                $

that's a trapezoid and a triangle
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peace09
5419 posts
#5
Y by
Bumping.
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peace09
5419 posts
#6
Y by
peace09 wrote:
Bumping.
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JamesYMath
16 posts
#7
Y by
If you can have infinite triangles, you just have a 45 - 45 - 90 right triangle, draw the altitude from the right angle then keep choosing one of the triangles and splitting it in half. I don't think it is possible for a finite number of triangles, but I have no idea how to prove it. (Bumping because this is interesting)
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RollingPanda4616
254 posts
#8
Y by
I don't think so, but I can't prove it. Maybe it's connected to how $\sqrt{2}$ is irrational?
This post has been edited 1 time. Last edited by RollingPanda4616, Apr 6, 2025, 1:34 AM
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SpeedCuber7
1833 posts
#9
Y by
i misread the questoin
This post has been edited 1 time. Last edited by SpeedCuber7, Apr 6, 2025, 2:36 PM
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fruitmonster97
2491 posts
#10
Y by
what a goofy troll.

The answer is yes.
[asy]
pair A,B,C,D,E,F,G,H;
A=(0,0);
B=(7,0);
C=(0,7);
D=(4,3);
E=(0,3);
F=(2,1);
G=(1,0);
H=(0,1);
draw(A--B--C--cycle);
draw(D--E--F--cycle);
draw(F--G--H--cycle);
[/asy]
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