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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
+1 w
jlacosta
Mar 2, 2025
0 replies
2025 ROSS Program
scls140511   14
N 4 minutes ago by Pengu14
Since the application has ended, are we now free to discuss the problems and stats? How do you think this year's problems are?
14 replies
scls140511
Yesterday at 2:36 AM
Pengu14
4 minutes ago
AMC- IMO preparation
asyaela.   10
N 17 minutes ago by Squidget
I'm a ninth grader, and I recently attempted the AMC 12, getting 18 questions correct and leaving 7 empty. I started working on Olympiad math in November and currently dedicate about two hours per day to preparation. I'm feeling a bit demotivated, but if it's possible for me to reach IMO level, I'd be willing to put in more time. How realistic is it for me to get there, and how much study would it typically take?
10 replies
+2 w
asyaela.
5 hours ago
Squidget
17 minutes ago
ABMC 2025 IN-PERSON Contest (April 5th)
ilovepizza2020   4
N 24 minutes ago by mynameisjefff
The 9th annual Acton-Boxborough Math Competition (ABMC) is quickly approaching! This year's ABMC will be held in-person at RJ Grey Junior High School, Acton, MA, on April 5th, 2025. The competition includes individual rounds and a team round, in which teams of 2-4 students participate. Anyone in grade 8 or below is welcome! You must register to compete. For more information about registration and the tentative schedule, please consult our website: https://abmathcompetitions.org/2025-contest/.

We offer prizes not only to top competitors; several of our sponsor prizes and educational awards are raffled among all in-person participants. Additionally, there are separate prizes for the top-scoring elementary schoolers.


For more information, visit https://abmathcompetitions.org/, especially the 2025 Competition page.
For the mailing list, visit https://abmathcompetitions.org/contact/.

Best,
ABMC Coordinators
4 replies
+1 w
ilovepizza2020
an hour ago
mynameisjefff
24 minutes ago
is this really supposed to be #13???
hgmium   3
N 25 minutes ago by hashbrown2009
https://artofproblemsolving.com/wiki/index.php/2022_AMC_10A_Problems/Problem_13

I managed to do all the other geo problems for that year besides this one
misplaced?
3 replies
1 viewing
hgmium
an hour ago
hashbrown2009
25 minutes ago
No more topics!
Mock AMC 1/12
Lord.of.AMC   28
N Jan 16, 2021 by firebolt360
Hello everyone! My friend and I created a mock AMC 10, and it is almost ready. Naturally, we would need some proofreaders for the test, as we might have made some errors. Also, we are planning to also make a mock AMC 12, with some harder problems (in particular, #25 and #23, as well as some others; I will tell you in detail when you become a helper) in addition to around 12 of the same problems on the AMC 10. We would like some helpers to help us finish that. If you are interested, post on this thread (so we can keep an active list). (Note: If you help with the test, you will not be allowed to participate.)

However, if you wish to take the test, please choose only ONE contest (10 or 12) to take as there will be problems that are replicas. We will decide testing dates a little later when we are done with the test.

So, Happy New Year everyone, and thanks in advance for participating!

Helpers [4]

$\uparrow$
Copy this list.

EDIT: From now on, don't pm me saying which test you want to take. Say that when you submit solutions (e.g. put your first sentence saying "This is for the AMC 12 test" or something like that).

EDIT2: There is no longer any limit on the number of helpers. However, in order to be a helper, you can not be a participant, as I mentioned before.
28 replies
Lord.of.AMC
Jan 5, 2012
firebolt360
Jan 16, 2021
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Lord.of.AMC
1210 posts
#1 • 10 Y
Y by MathTwo, rdj5933mile5, dft, NewAlbionAcademy, Adventure10, and 5 other users
Hello everyone! My friend and I created a mock AMC 10, and it is almost ready. Naturally, we would need some proofreaders for the test, as we might have made some errors. Also, we are planning to also make a mock AMC 12, with some harder problems (in particular, #25 and #23, as well as some others; I will tell you in detail when you become a helper) in addition to around 12 of the same problems on the AMC 10. We would like some helpers to help us finish that. If you are interested, post on this thread (so we can keep an active list). (Note: If you help with the test, you will not be allowed to participate.)

However, if you wish to take the test, please choose only ONE contest (10 or 12) to take as there will be problems that are replicas. We will decide testing dates a little later when we are done with the test.

So, Happy New Year everyone, and thanks in advance for participating!

Helpers [4]

$\uparrow$
Copy this list.

EDIT: From now on, don't pm me saying which test you want to take. Say that when you submit solutions (e.g. put your first sentence saying "This is for the AMC 12 test" or something like that).

EDIT2: There is no longer any limit on the number of helpers. However, in order to be a helper, you can not be a participant, as I mentioned before.
This post has been edited 3 times. Last edited by Lord.of.AMC, Jan 9, 2012, 10:38 PM
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Eagle_luvMath
15 posts
#2 • 2 Y
Y by Lord.of.AMC, Adventure10
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mathwizarddude
1976 posts
#3 • 2 Y
Y by Adventure10, Mango247
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engarde
250 posts
#4 • 1 Y
Y by Adventure10
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esque
299 posts
#5 • 2 Y
Y by Adventure10, Mango247
When will the test be released for participants?
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Lord.of.AMC
1210 posts
#6 • 2 Y
Y by Adventure10, Mango247
They will be released soon; at least a week before the A date.

Here are the rules for the competition (i.e. the first page of the AMC 10 test).
Attachments:
mock amc 112 rules.pdf (36kb)
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exmath89
2572 posts
#7 • 2 Y
Y by Adventure10, Mango247
@Lord.of.AMC, will the AMC 10 test be released soon?

Thanks.
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Lord.of.AMC
1210 posts
#8 • 1 Y
Y by Adventure10
[edit: deleted]
This post has been edited 1 time. Last edited by Lord.of.AMC, Feb 27, 2013, 2:57 AM
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jeff10
1117 posts
#9 • 3 Y
Y by osmosis92, Adventure10, Mango247
I want to sign up too!
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Lord.of.AMC
1210 posts
#10 • 10 Y
Y by mymathboy, bulldog23, exmath89, NewAlbionAcademy, greatwhiteshark98, MathLearner01, Adventure10, Mango247, and 2 other users
Sorry, sorry, never mind my previous post! We will be releasing the AMC 10 test after all. Here it is!

It would be best to take this test before the B date. However, you may take it at any time you want, and just submit to me for grading, and I'll give you a score!
Attachments:
mock amc 10 1211.pdf (127kb)
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Lord.of.AMC
1210 posts
#11 • 2 Y
Y by Adventure10, Mango247
Change the answer choices of #19 to:

(A) 243 (B) 342 (C) 486 (D) 684 (E) 1026
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michael_moore
18 posts
#12 • 1 Y
Y by Adventure10
this was awesome, thank you so much for going to the trouble of making this mock amc, you guys should make more!!!!
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MathTwo
541 posts
#13 • 1 Y
Y by Adventure10
michael_moore wrote:
this was awesome, thank you so much for going to the trouble of making this mock amc, you guys should make more!!!!

I'm glad you liked the test (I was one of the test writers too). However, due to the fact that the AMC 10/12 B is in 3 days, there won't be enough time to write another test, so that will probably have to wait until next year.
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niraekjs
1861 posts
#14 • 2 Y
Y by Adventure10, Mango247
Awesome test, thanks!
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Lord.of.AMC
1210 posts
#15 • 1 Y
Y by Adventure10
There was an error in the grading. Everyone I have graded up to now, please resubmit your answer to #14. I have realized that my answer to #14 was wrong, and I was grading everyone against that wrong answer. Sorry for any inconvenience this may cause!
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Lord.of.AMC
1210 posts
#16 • 2 Y
Y by Adventure10, Mango247
Hey everyone,

The AMC 10B is now over, so I think it would be a good idea to end the official period of this mock contest here. However, you may take this test as many times as you want (as it'll remain up), and check your answers against the answer key posted below.

Answer Key

Just so you'll know, here are the statistics.

# submissions = 11
Mean score = 108
Std. Dev. = 17.493
Max. score = 136.5
Median score = 108
Mode score = 96

Top 4 scorers:
1. SteinsChaos with a 136.5
2. NewAlbionAcademy with a 132
3. exmath89 with a 124.5
4. esque with a 115.5

Congratulations to all who took this test!!!
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AplayerDanny
257 posts
#17 • 2 Y
Y by Adventure10, Mango247
How do you solve Question 25?
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tenniskidperson3
2376 posts
#18 • 2 Y
Y by Adventure10, Mango247
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Edit: Fixed a huge error
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newchie123
412 posts
#19 • 1 Y
Y by Adventure10
Solution for 16 and 17 please
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tenniskidperson3
2376 posts
#20 • 1 Y
Y by Adventure10
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Willingo
149 posts
#21 • 1 Y
Y by Adventure10
sol for 8 and 13 please :D
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tenniskidperson3
2376 posts
#22 • 2 Y
Y by Adventure10, Mango247
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Willingo
149 posts
#23 • 2 Y
Y by Adventure10, Mango247
Solutions for 8 , 13 and 15 please :D
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tenniskidperson3
2376 posts
#24 • 2 Y
Y by Adventure10, Mango247
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Willingo
149 posts
#25 • 2 Y
Y by Adventure10, Mango247
How did you conclude M was circumcenter, and why is the big triangle two times PTC the formed triangle(extendeD)

Also for the question where you used vietas, i understand how you got the m-n to the fourth, but why did you add the part after with like 4mn and etc, in the beginning.
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tenniskidperson3
2376 posts
#26 • 2 Y
Y by Adventure10, Mango247
We know that $M$ is the circumcenter because if we draw the circumcircle, since $\angle ACB$ is right, we know that $AB$ is a diameter. Thus the circumcenter is halfway between the endpoints of this diameter, at the midpoint of $A$ and $B$, which is $M$.

We saw that $AP$ is half of $AC$ because triangle $APN$ is similar to triangle $ACM$ with ratio $\frac{1}{2}$. Hence $CP$ is also half of $AC$, just the other half. We showed that $\triangle PTC\sim\triangle ABC$ by AA similarity, so to find the ratio we compare two corresponding sides. In this case we look at $PC$ and $AC$. The ratio of these sides is $\frac{1}{2}$ so the ratio of the triangles is $\frac{1}{2}$.

What I did for the Vieta question is I tried to write $-m^4-n^4$ as a combination of $m+n$ and $mn$. So I used $-(m+n)^4$ to knock out the $-m^4-n^4$, but that leaves me with some extra terms that we must add back in to cancel. These terms are exactly $4m^3n+6m^2n^2+4mn^3$. If we add these to $-(m+n)^4$ they cancel to give $-m^4-n^4$. Then we calculate it from there.

I hope this helps.
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droid347
2679 posts
#27 • 1 Y
Y by Adventure10
Are there any solutions for the last 5 problems?
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gamjawon
3496 posts
#28 • 2 Y
Y by Adventure10, Mango247
Thanks for the test again!
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firebolt360
903 posts
#29
Y by
Huge revive anyone have solutions for 19-23?
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