We have your learning goals covered with Spring and Summer courses available. Enroll today!

Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3 M G
BBookmark  VNew Topic kLocked
Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3 M G
BBookmark  VNew Topic kLocked
G
Topic
First Poster
Last Poster
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.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

Prealgebra 1
Sunday, Mar 2 - Jun 22
Friday, Mar 28 - Jul 18
Sunday, Apr 13 - Aug 10
Tuesday, May 13 - Aug 26
Thursday, May 29 - Sep 11
Sunday, Jun 15 - Oct 12
Monday, Jun 30 - Oct 20
Wednesday, Jul 16 - Oct 29

Prealgebra 2 Self-Paced

Prealgebra 2
Tuesday, Mar 25 - Jul 8
Sunday, Apr 13 - Aug 10
Wednesday, May 7 - Aug 20
Monday, Jun 2 - Sep 22
Sunday, Jun 29 - Oct 26
Friday, Jul 25 - Nov 21


Introduction to Algebra A Self-Paced

Introduction to Algebra A
Sunday, Mar 23 - Jul 20
Monday, Apr 7 - Jul 28
Sunday, May 11 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, May 14 - Aug 27
Friday, May 30 - Sep 26
Monday, Jun 2 - Sep 22
Sunday, Jun 15 - Oct 12
Thursday, Jun 26 - Oct 9
Tuesday, Jul 15 - Oct 28

Introduction to Counting & Probability Self-Paced

Introduction to Counting & Probability
Sunday, Mar 16 - Jun 8
Wednesday, Apr 16 - Jul 2
Thursday, May 15 - Jul 31
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Wednesday, Jul 9 - Sep 24
Sunday, Jul 27 - Oct 19

Introduction to Number Theory
Monday, Mar 17 - Jun 9
Thursday, Apr 17 - Jul 3
Friday, May 9 - Aug 1
Wednesday, May 21 - Aug 6
Monday, Jun 9 - Aug 25
Sunday, Jun 15 - Sep 14
Tuesday, Jul 15 - Sep 30

Introduction to Algebra B Self-Paced

Introduction to Algebra B
Sunday, Mar 2 - Jun 22
Wednesday, Apr 16 - Jul 30
Tuesday, May 6 - Aug 19
Wednesday, Jun 4 - Sep 17
Sunday, Jun 22 - Oct 19
Friday, Jul 18 - Nov 14

Introduction to Geometry
Tuesday, Mar 4 - Aug 12
Sunday, Mar 23 - Sep 21
Wednesday, Apr 23 - Oct 1
Sunday, May 11 - Nov 9
Tuesday, May 20 - Oct 28
Monday, Jun 16 - Dec 8
Friday, Jun 20 - Jan 9
Sunday, Jun 29 - Jan 11
Monday, Jul 14 - Jan 19

Intermediate: Grades 8-12

Intermediate Algebra
Sunday, Mar 16 - Sep 14
Tuesday, Mar 25 - Sep 2
Monday, Apr 21 - Oct 13
Sunday, Jun 1 - Nov 23
Tuesday, Jun 10 - Nov 18
Wednesday, Jun 25 - Dec 10
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22

Intermediate Counting & Probability
Sunday, Mar 23 - Aug 3
Wednesday, May 21 - Sep 17
Sunday, Jun 22 - Nov 2

Intermediate Number Theory
Friday, Apr 11 - Jun 27
Sunday, Jun 1 - Aug 24
Wednesday, Jun 18 - Sep 3

Precalculus
Sunday, Mar 16 - Aug 24
Wednesday, Apr 9 - Sep 3
Friday, May 16 - Oct 24
Sunday, Jun 1 - Nov 9
Monday, Jun 30 - Dec 8

Advanced: Grades 9-12

Olympiad Geometry
Wednesday, Mar 5 - May 21
Tuesday, Jun 10 - Aug 26

Calculus
Sunday, Mar 30 - Oct 5
Tuesday, May 27 - Nov 11
Wednesday, Jun 25 - Dec 17

Group Theory
Thursday, Jun 12 - Sep 11

Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Sunday, Mar 23 - Jun 15
Wednesday, Apr 16 - Jul 2
Friday, May 23 - Aug 15
Monday, Jun 2 - Aug 18
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

MATHCOUNTS/AMC 8 Advanced
Friday, Apr 11 - Jun 27
Sunday, May 11 - Aug 10
Tuesday, May 27 - Aug 12
Wednesday, Jun 11 - Aug 27
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Problem Series
Tuesday, Mar 4 - May 20
Monday, Mar 31 - Jun 23
Friday, May 9 - Aug 1
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Tuesday, Jun 17 - Sep 2
Sunday, Jun 22 - Sep 21 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Jun 23 - Sep 15
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Final Fives
Sunday, May 11 - Jun 8
Tuesday, May 27 - Jun 17
Monday, Jun 30 - Jul 21

AMC 12 Problem Series
Tuesday, May 27 - Aug 12
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Wednesday, Aug 6 - Oct 22

AMC 12 Final Fives
Sunday, May 18 - Jun 15

F=ma Problem Series
Wednesday, Jun 11 - Aug 27

WOOT Programs
Visit the pages linked for full schedule details for each of these programs!


MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT

Programming

Introduction to Programming with Python
Monday, Mar 24 - Jun 16
Thursday, May 22 - Aug 7
Sunday, Jun 15 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Tuesday, Jun 17 - Sep 2
Monday, Jun 30 - Sep 22

Intermediate Programming with Python
Sunday, Jun 1 - Aug 24
Monday, Jun 30 - Sep 22

USACO Bronze Problem Series
Tuesday, May 13 - Jul 29
Sunday, Jun 22 - Sep 1

Physics

Introduction to Physics
Sunday, Mar 30 - Jun 22
Wednesday, May 21 - Aug 6
Sunday, Jun 15 - Sep 14
Monday, Jun 23 - Sep 15

Physics 1: Mechanics
Tuesday, Mar 25 - Sep 2
Thursday, May 22 - Oct 30
Monday, Jun 23 - Dec 15

Relativity
Sat & Sun, Apr 26 - Apr 27 (4:00 - 7:00 pm ET/1:00 - 4:00pm PT)
Mon, Tue, Wed & Thurs, Jun 23 - Jun 26 (meets every day of the week!)
0 replies
jlacosta
Mar 2, 2025
0 replies
AMC- IMO preparation
asyaela.   9
N 21 minutes ago by Schintalpati
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?
9 replies
+3 w
asyaela.
3 hours ago
Schintalpati
21 minutes ago
Tennessee Math Tournament (TMT) Online 2025
TennesseeMathTournament   29
N 28 minutes ago by NashvilleSC
Hello everyone! We are excited to announce a new competition, the Tennessee Math Tournament, created by the Tennessee Math Coalition! Anyone can participate in the virtual competition for free.

The testing window is from March 22nd to April 5th, 2025. Virtual competitors may participate in the competition at any time during that window.

The virtual competition consists of three rounds: Individual, Bullet, and Team. The Individual Round is 60 minutes long and consists of 30 questions (AMC 10 level). The Bullet Round is 20 minutes long and consists of 80 questions (Mathcounts Chapter level). The Team Round is 30 minutes long and consists of 16 questions (AMC 12 level). Virtual competitors may compete in teams of four, or choose to not participate in the team round.

To register and see more information, click here!

If you have any questions, please email connect@tnmathcoalition.org or reply to this thread!
29 replies
TennesseeMathTournament
Mar 9, 2025
NashvilleSC
28 minutes ago
AIME score for college apps
Happyllamaalways   75
N 38 minutes ago by hashbrown2009
What good colleges do I have a chance of getting into with an 11 on AIME? (Any chances for Princeton)

Also idk if this has weight but I had the highest AIME score in my school.
75 replies
Happyllamaalways
Mar 13, 2025
hashbrown2009
38 minutes ago
AMC 8 discussion
Jaxman8   42
N an hour ago by mpcnotnpc
Discuss the AMC 8 below!
42 replies
Jaxman8
Jan 29, 2025
mpcnotnpc
an hour ago
No more topics!
Mock AMC 12 2012
python123   27
N Feb 2, 2015 by DivideBy0
Hi all!

Contest season is coming up! To help with the preparation, I'm planning to host a mock AMC 12 soon. I would like to make it an online contest, so that you guys can submit answers and we can post scores, and so on. I'm putting the tentative dates as the weekend of Jan 21-22, during which sending in answers is allowed. Of course, problems will be available for practice after that as well.

Sounds good? Keep practicing, and stay posted! :)

UPDATE: Problems have been posted; please see below. You have until 11:59PM Pacific Time, Sunday 22nd, to PM me the answers.

As usual, 6 points for a correct answer, 1.5 points for not answering, and 0 points for a wrong answer.
27 replies
python123
Jan 4, 2012
DivideBy0
Feb 2, 2015
Mock AMC 12 2012
G H J
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
python123
27 posts
#1 • 9 Y
Y by aeryde.xin, rdj5933mile5, dft, Amir Hossein, Adventure10, and 4 other users
Hi all!

Contest season is coming up! To help with the preparation, I'm planning to host a mock AMC 12 soon. I would like to make it an online contest, so that you guys can submit answers and we can post scores, and so on. I'm putting the tentative dates as the weekend of Jan 21-22, during which sending in answers is allowed. Of course, problems will be available for practice after that as well.

Sounds good? Keep practicing, and stay posted! :)

UPDATE: Problems have been posted; please see below. You have until 11:59PM Pacific Time, Sunday 22nd, to PM me the answers.

As usual, 6 points for a correct answer, 1.5 points for not answering, and 0 points for a wrong answer.
This post has been edited 4 times. Last edited by python123, Jan 19, 2012, 1:45 AM
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
aeryde.xin
66 posts
#2 • 2 Y
Y by Adventure10, Mango247
Will the difficulty level be similar to past AMC 12s? There are some mock contests that are noticeably harder than the real contests.
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
python123
27 posts
#3 • 2 Y
Y by aeryde.xin, Adventure10
aeryde.xin wrote:
Will the difficulty level be similar to past AMC 12s? There are some mock contests that are noticeably harder than the real contests.

Yes, it should be similar. The test will be posted this weekend! :lol:
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
python123
27 posts
#4 • 14 Y
Y by Mrdavid445, mcrasher, rdj5933mile5, donutsupernova, aeryde.xin, VIPMaster, dft, Amir Hossein, osmosis92, Ahskerp95, jayden94941, Adventure10, Mango247, and 1 other user
See the problems here:

Click to reveal hidden text
This post has been edited 2 times. Last edited by python123, Jan 21, 2012, 6:27 PM
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Cortana
404 posts
#5 • 1 Y
Y by Adventure10
Do we need to pm our solutions too or just the letter answer?
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
python123
27 posts
#6 • 2 Y
Y by Adventure10, Mango247
Cortana wrote:
Do we need to pm our solutions too or just the letter answer?

Letter answers are good enough :)
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
python123
27 posts
#7 • 2 Y
Y by Adventure10, Mango247
About 1.5 more days to submit answers :)
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
python123
27 posts
#8 • 2 Y
Y by Adventure10, Mango247
Contest is over. You may discuss the problems.

Answers:
DCAED EBECC DBACA DDAEE ACBEB

One common mistake worth pointing out is on #13. The problem states that $x$ and $y$ are distinct, and that makes the correct answer A rather than D.

The top 6 scorers are:
exmath89 138
yankeefan6795 130.5
benjamin7xx 130.5
donutsupernova 127.5
VIPMaster 121.5
harbinger_of_doom 117.5

Thank you all, and good luck on the real tests!
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
benjamin7xx
294 posts
#9 • 2 Y
Y by Adventure10, Mango247
Would anyone happen to have solutions for the last 3 problems?
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Diehard
1374 posts
#10 • 2 Y
Y by Adventure10, Mango247
You can use the mean-value theorem for $25$.
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
exmath89
2572 posts
#11 • 3 Y
Y by Dwu123, Adventure10, Mango247
@Diehard, could you explain this "mean-value theorem"?

#23 Solution

#24 Solution
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Diehard
1374 posts
#12 • 2 Y
Y by osmosis92, Adventure10
My mistake, this isn't really the mean-value theorem; it just looks like it. Since $2^{x}>x$ everywhere, all we need to do is translate $y=x$ until it's tangent to the graph of $y=2^{x}$. So essentially, the derivative at some point $(x,2^{x})$ must equal the slope of the line $y=x$, namely, $1$. Now it's easy to find $x$.
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
donutsupernova
423 posts
#13 • 2 Y
Y by Adventure10, Mango247
Wow how do you come up with that solution during the test?
my solution to 23
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Diehard
1374 posts
#14 • 2 Y
Y by Adventure10, Mango247
I actually did come up with that during the test (unofficial). :wink: However, I thought this test was too easy (22 looks like a challenge problem from a school textbook) and contained too many problems from previous years.
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Cortana
404 posts
#15 • 2 Y
Y by Adventure10, Mango247
Can someone post solutions to 16 and 22? Thanks
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
donutsupernova
423 posts
#16 • 2 Y
Y by Adventure10, Mango247
22
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
osmosis92
1139 posts
#17 • 1 Y
Y by Adventure10
it may be easier to find the altitudes to the diagonal.
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
exmath89
2572 posts
#18 • 1 Y
Y by Adventure10
Diehard wrote:
My mistake, this isn't really the mean-value theorem; it just looks like it. Since $2^{x}>x$ everywhere, all we need to do is translate $y=x$ until it's tangent to the graph of $y=2^{x}$. So essentially, the derivative at some point $(x,2^{x})$ must equal the slope of the line $y=x$, namely, $1$. Now it's easy to find $x$.

Could someone post a solution to #25 that does not require calculus?

Thanks.
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
donutsupernova
423 posts
#19 • 1 Y
Y by Adventure10
Does anyone have a solution for 15, 18, 19
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
harbinger_of_doom
60 posts
#20 • 2 Y
Y by Adventure10, Mango247
Click to reveal hidden text
Didnt get 18 or 19... :(
22, I used law of cosines and bcsina/2. Think it's nicer than herons formula.

On 10, I actually used Vieta's instead of just pluging and chugging (didn't realize the roots were 2 and 5 :wallbash_red: )

I think some of the last 5 could have been swapped with some of the problems before it
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
quantumbyte
547 posts
#21 • 2 Y
Y by Adventure10 and 1 other user
I am not sure how you would do #25 without a calculator and knowledge of calculus.
Solution
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
donutsupernova
423 posts
#22 • 1 Y
Y by Adventure10
I still don't get it. So mod 3 it becomes $1,0,0,0....$ which does what?
Some idea for #25
This post has been edited 1 time. Last edited by donutsupernova, Jan 24, 2012, 5:41 AM
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
exmath89
2572 posts
#23 • 1 Y
Y by Adventure10
Solution for #19

And for Problem #15, note that after $1!+2!+3!$, the rest end in a $3$ mod $10$. $3$ can't be the units digit of a perfect square, so we only have $1$ and $9$.
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
harbinger_of_doom
60 posts
#24 • 2 Y
Y by Adventure10, Mango247
Oh what, I must have messed up. I got that the majority of them become 2 mod 3 which is impossible. My bad! :( (talk about getting the right answer on accident)
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
pr0likethis
755 posts
#25 • 2 Y
Y by Adventure10, Mango247
jsut did this on my own and got a 124.5, with 13, 17 wrong and omitting 18, 23, 24 (did the calc solution to 25)
Very much so not as well as i hope to get in a couple of weeks :(
@exmath those two solutions are awesome...i even had those ideas! i just didnt go through with them.
can someone post solutions to 13, 17, 18? 13 and 17 i'm pretty srue i just made silly mistakes, but i'm unsure of where.
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
quantumbyte
547 posts
#26 • 1 Y
Y by Adventure10
@prolikethis: How did you do #25 without a calculator(unless you magically know the log of the ln of 2).
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
carmelninja
47 posts
#27 • 2 Y
Y by Adventure10, Mango247
I have an issue with the answer for #17

Here is my work:
Click to reveal hidden text

Is there anything wrong with my work? Or should the answer be (A)?
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
DivideBy0
84 posts
#28 • 1 Y
Y by Adventure10
carmelninja wrote:
Is there anything wrong with my work? Or should the answer be (A)?
pr0likethis wrote:
17 i'm pretty srue i just made silly mistakes, but i'm unsure of where.

AHSME 1996 #14, essentially this exact problem, has answer 400.
Z K Y
N Quick Reply
G
H
=
a