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Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
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Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
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k a March Highlights and 2025 AoPS Online Class Information
jlacosta   0
Mar 2, 2025
March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/list]
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
Mar 2, 2025
0 replies
They mixed up USAJMO and AIME I guess
Math4Life7   54
N a minute ago by littlefox_amc
Source: USAJMO 2024/1
Let $ABCD$ be a cyclic quadrilateral with $AB = 7$ and $CD = 8$. Point $P$ and $Q$ are selected on segment $AB$ such that $AP = BQ = 3$. Points $R$ and $S$ are selected on segment $CD$ such that $CR = DS = 2$. Prove that $PQRS$ is a cyclic quadrilateral.

Proposed by Evan O'Dorney
54 replies
Math4Life7
Mar 20, 2024
littlefox_amc
a minute ago
USAMO vs USAJMO Prestige
elasticwealth   47
N a minute ago by axusus
Just curious, what does everyone think about the prestige of a USAMO qualification vs a USAJMO qual? Obv USAMO > USAJMO but how much?

And while we’re at it, what about amc 10 dhr vs amc 12 dhr? Thoughts?

Edit: also how much is a perfect score on 10/12 worth? Asking for a friend….
47 replies
+4 w
elasticwealth
Feb 17, 2025
axusus
a minute ago
Gunn Math Competition
the_math_prodigy   10
N 4 minutes ago by axusus
Gunn Math Circle is excited to host the fourth annual Gunn Math Competition (GMC)! GMC will take place at Gunn High School in Palo Alto, California on Sunday, March 30th. Gather a team of up to four and compete for over $7,500 in prizes! The contest features three rounds: Individual, Guts, and Team. We welcome participants of all skill levels, with separate Beginner and Advanced divisions for all students.

Registration is free and now open at compete.gunnmathcircle.org. The deadline to sign up is March 27th.

Special Guest Speaker: Po-Shen Loh!!!
We are honored to welcome Po-Shen Loh, a world-renowned mathematician, Carnegie Mellon professor, and former coach of the USA International Math Olympiad team. He will deliver a 30-minute talk to both students and parents, offering deep insights into mathematical thinking and problem-solving in the age of AI!

View competition manual, schedule, prize pool at compete.gunnmathcircle.org . Stay updated by joining our Discord discord.gg/fqcxukv3Dq server. For any questions, reach out at ghsmathcircle@gmail.com or ask in Discord.
10 replies
the_math_prodigy
Mar 8, 2025
axusus
4 minutes ago
My opinions on this years AIMES problems+cutoff range??
isache   35
N 15 minutes ago by axusus
1: Little bit harder than most Nr 1's, but you can just bash this out either way.
2. Kinda annoying, but once u break it down it isnt that bad. Average nr2.
3. Cool problem, just break it down into the 3 cases and it isnt too bad. Tiny bit easy for a n3.
4. Dividing by xy, x^2, or y^2 makes this problem a lot easier. You can also factor. avg no 4.
5. Easily sillyable again, kinda annoying for a nr 5. Honestly I would switch no 5 and 6.
6. Pretty simple if you use pithot. If not it can be difficult. Avg no 6.
7. Very hard for a nr7. The whole problem itself is not bad, just it is extremely sillyable
8. Very bashy, and not super easy to solve, but putting this one on a cartesian plane makes it easier. Harder than last years nr8 by a mile.
9. Easy if you see the trick, impossible if not. Without the trick, this problem becomes super bashy, but probably avg nr9. I spent like 1hr on this to absolutely no avail. I got into an equation with degree 6 bc I didnt see the trick.
10. Not very easy, as you have to break it down well for the solution to flow nicely. Quite hard for a nr10 imo
11. Difficult to understand, but once you have the hang of it down it is not horrible. Despite this, many struggled to understand it in the first place. Fairly hard for a nr 11.
12. Lotta people struggle to graph inequalities in 3d planes (So do I). little hard for a nr 12.
13. Very confusing for a bunch of people (including me). Avg for a nr 13 tho.
14. Super hard problem, but extremely elegant. Fermats point is a cool concept here. Hard for a nr 14 tho
15. LTE helps a lot. Honestly I would switch 14 and 15.

Overall, I think problems 1-6 were avg for an aime, but after that the problem got significantly harder. Much harder than last yrs imo. Tough to say what cutoffs will be given all that has gone last year. Tbf I predict sub 220 for both 10a and 10b, but I could be wrong. We kinda just have to wait and see.
35 replies
isache
Feb 11, 2025
axusus
15 minutes ago
No more topics!
Mock AMC G
paladin8   31
N Feb 11, 2008 by Ignite168
Anyway, here's yet another Mock AMC. I tried really hard, so if it's bad, don't say anything or I'll feel really bad and go cry. In any case, rules are the same as usual; the test has been checked over, so any ambiguities should be resolved. Otherwise, post it in this thread (general questions) or PM me (specific questions, related to answers). Difficulty should be fairly consistent with AMC problems, not that I would know, but that's ok. Enjoy!

The Test

Oh, and regarding submitting answers, I guess I'll do all that scoring, ranking, etc. just PM me your answers. You'll have a week or so, so let's say due by next Wednesday 1/17.
31 replies
paladin8
Jan 11, 2007
Ignite168
Feb 11, 2008
Mock AMC G
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paladin8
3237 posts
#1 • 2 Y
Y by Adventure10, Mango247
Anyway, here's yet another Mock AMC. I tried really hard, so if it's bad, don't say anything or I'll feel really bad and go cry. In any case, rules are the same as usual; the test has been checked over, so any ambiguities should be resolved. Otherwise, post it in this thread (general questions) or PM me (specific questions, related to answers). Difficulty should be fairly consistent with AMC problems, not that I would know, but that's ok. Enjoy!

The Test

Oh, and regarding submitting answers, I guess I'll do all that scoring, ranking, etc. just PM me your answers. You'll have a week or so, so let's say due by next Wednesday 1/17.
Attachments:
mockAMC.pdf (111kb)
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mysmartmouth
2104 posts
#2 • 4 Y
Y by Adventure10, Mango247, Mango247, Mango247
OK, I won't post my test until yours ends. The letters should have been switched...but whatever. I'm gonna take this right now!

#6 - Is this missing something?
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paladin8
3237 posts
#3 • 2 Y
Y by Adventure10, Mango247
mysmartmouth wrote:
OK, I won't post my test until yours ends. The letters should have been switched...but whatever. I'm gonna take this right now!

#6 - Is this missing something?

As far as I know, it's solvable. It might seem a little ambiguous, but just don't think too hard about it.
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Phelpedo
2444 posts
#4 • 1 Y
Y by Adventure10
I suppose the lack of "never" as an answer choice makes it answerable.
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mysmartmouth
2104 posts
#5 • 2 Y
Y by Adventure10, Mango247
I just wanted to add that I HATE geometry, but I really liked every geometry problem you had on the test. Nice job with those. But why must there be trig... :moose:
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paladin8
3237 posts
#6 • 2 Y
Y by Adventure10, Mango247
mysmartmouth wrote:
I just wanted to add that I HATE geometry, but I really liked every geometry problem you had on the test.

Perhaps we have a common interest here...
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purple plume
40 posts
#7 • 1 Y
Y by Adventure10
paladin8 wrote:
mysmartmouth wrote:
I just wanted to add that I HATE geometry, but I really liked every geometry problem you had on the test.

Perhaps we have a common interest here...
That means the writer is mighty talented.
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Altheman
6194 posts
#8 • 2 Y
Y by Adventure10, Mango247
nicely done...the problems feel like those of an actual amc [probably 12]...20,21,24 are nice problems
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mysmartmouth
2104 posts
#9 • 1 Y
Y by Adventure10
I liked 21 and 24 a lot too. 24 is probably too easy for a 24, but I'm not complaining :wink:\

EDIT: wtf purple plume...or should i say now a ranger... change your avatar.

EDIT: Haha we'll see = Sean did something stupid and thinks he solved the problem.
This post has been edited 2 times. Last edited by mysmartmouth, Jan 11, 2007, 10:35 PM
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paladin8
3237 posts
#10 • 2 Y
Y by Adventure10, Mango247
mysmartmouth wrote:
I liked 21 and 24 a lot too. 24 is probably too easy for a 24, but I'm not complaining :wink:

Haha, we'll see.
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aahmadi
223 posts
#11 • 2 Y
Y by Adventure10, Mango247
i look forward to ur test paladin
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arjunlandes
133 posts
#12 • 2 Y
Y by Adventure10, Mango247
Hmm...can you check 17? Maybe I'm being stupid, but I don't see the right answer there.
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paladin8
3237 posts
#13 • 2 Y
Y by Adventure10, Mango247
arjunlandes wrote:
Hmm...can you check 17? Maybe I'm being stupid, but I don't see the right answer there.

I'm pretty sure it's there. If you want, I can PM you the solution (unless you are taking the test and wish to submit answers, of course).
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arjunlandes
133 posts
#14 • 2 Y
Y by Adventure10, Mango247
I'm taking the test, so I'll look at it again. Just to be sure, loglog|x| means log of the log of |x|, right?
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paladin8
3237 posts
#15 • 2 Y
Y by Adventure10, Mango247
arjunlandes wrote:
I'm taking the test, so I'll look at it again. Just to be sure, loglog|x| means log of the log of |x|, right?

Yup.

The message contains only quote and code tags. Please add some text of your own.
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xxreddevilzxx
1312 posts
#16 • 2 Y
Y by Adventure10, Mango247
I see the answer to #17
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mysmartmouth
2104 posts
#17 • 2 Y
Y by Adventure10, Mango247
Haha, 25 was a beast. Nice problem. Did you make that up? If not, I wanna know the source (after the competition ends).
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King Paul
53 posts
#18 • 2 Y
Y by Adventure10, Mango247
I'm sorry but I don't understand number 6. I don't see what it means.


Yes. the test is very beastly.
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eryaman
1130 posts
#19 • 2 Y
Y by Adventure10, Mango247
Paladin8, I added this Mock AMC to the wiki.
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mysmartmouth
2104 posts
#20 • 2 Y
Y by Adventure10, Mango247
Number 6 might be worded incorrectly, I'm not sure. But just use common sense and you'll see what the writer meant.
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paladin8
3237 posts
#21 • 2 Y
Y by Adventure10, Mango247
mysmartmouth wrote:
Haha, 25 was a beast. Nice problem. Did you make that up? If not, I wanna know the source (after the competition ends).

I did make it up. All the problems are original :).
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bpms
3970 posts
#22 • 1 Y
Y by Adventure10
When is this due?
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paladin8
3237 posts
#23 • 1 Y
Y by Adventure10
bpms wrote:
When is this due?

Wednesday, 1/17. At night, I guess. Whatever.
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paladin8
3237 posts
#24 • 2 Y
Y by Adventure10, Mango247
arjunlandes wrote:
Hmm...can you check 17? Maybe I'm being stupid, but I don't see the right answer there.

I apologize to everyone who has taken the test. arjunlandes is corret; the right answer choice was not there for question 17, the point will be given to everyone. The correct answer should be $4 \cdot (10^{\frac{1}{10}}-1)^{2}$.

EDIT: I won't be sending the new scores (you can calculate that), but they will affect the rankings/stats at the end. Also, please use the LINK from now on; it has the newest version (reworded question 6 and changed the answer choices for question 17).
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jyang
1 post
#25 • 2 Y
Y by Adventure10, Mango247
Thanks for the test. The author must be really brilliant... :)
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CornOnTheCobbe
3 posts
#26 • 2 Y
Y by Adventure10, Mango247
Please sign me up to take this test also.
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paladin8
3237 posts
#27 • 2 Y
Y by Adventure10, Mango247
Today's the last day to submit answers. I should have results/statistics up by tomorrow.
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Ubemaya
1560 posts
#28 • 2 Y
Y by Adventure10, Mango247
Can I turn it in today?

I didn't hear about it until today...

and if I can't, can I just submit it to see what score I got?
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paladin8
3237 posts
#29 • 2 Y
Y by Adventure10, Mango247
Ubemaya wrote:
Can I turn it in today?

I didn't hear about it until today...

and if I can't, can I just submit it to see what score I got?

Sure, but I won't update the statistics. You can just check your answers in the other thread anyway.
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ghjk
858 posts
#30 • 2 Y
Y by Adventure10, Mango247
Sorry for my reviving this old thread!But can anyone post the answer key of this test since I need to see where my score is?? I need to see the solution of 1 or 2 problems in this test(23 and another).
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nitish
8 posts
#31 • 4 Y
Y by Adventure10, Mango247, Mango247, Mango247
Could you give the answers to the test.
I am just practicing for the AMC 12.
My email is
Aggarwal.nitish@gmail.com

Thanks
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Ignite168
1902 posts
#32 • 1 Y
Y by Adventure10
http://www.artofproblemsolving.com/Forum/viewtopic.php?t=129159

Now please stop bumping this topic.
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