easy olympiad problem
by kjhgyuio, Apr 17, 2025, 2:00 PM
Find all positive integer values of
such that
is an integer.

![\[
\sqrt{x - 2011} + \sqrt{2011 - x} + 10
\]](http://latex.artofproblemsolving.com/4/8/b/48b82d13b733947420a0d763c6af74636770835a.png)
This post has been edited 2 times. Last edited by kjhgyuio, Yesterday at 2:01 PM
Reason: nil
Reason: nil
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
p1
students want to share
pencils. If every student gets at least one pencil, how many ways are there to distribute the pencils?p3
p4
i wanted to do one for 1000, then 1111, then 1234, then 1500, then 2000, then 2222 and i forgot about all of those lol
2500 is cool.
i am not very sentimental so im not going to post a math story or anything.
here are some problems though
p1
You roll 5
-sided regular dice. What is the minimum value of
such that the expected value of the sum of all five rolls is at least
?
p2




How many diagonals can a
-sided regular polygon have such that the diagonals only meet at the vertices?

p4
Johnny buys a pet lobster named Pinchy. If Pinchy can eat water balloons at a rate of 69 pounds/nanogram, how tall is Johnny? Assume that it is not a leap year.
This post has been edited 5 times. Last edited by Solocraftsolo, Wednesday at 3:40 PM
1000th Post!
by PikaPika999, Apr 5, 2025, 11:32 PM
When I had less than 25 posts on AoPS, I saw many people create threads about them getting 1000th posts. I thought I would never hit 1000 posts, but here we are, this is my 1000th post.
As a lot of users like to do, I'll write my math story:
Daycare
Preschool
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Quick Quote that was from MLK that I edited
In conclusion, AoPS has helped me improve my math. I have also made many new friends on AoPS!
Finally, I would like to say thank you to all the new friends I made and all the instructors on AoPS that taught me!
Minor side note, but
As a lot of users like to do, I'll write my math story:
Daycare
I figured out I loved math when I was in daycare at the age of around 4. At the end of the "school year," I was already skip counting by 9s until 90!
Preschool
Ngl, during my one year at preschool, my math level probably got worse.
Kindergarten
My practice of skip counting from daycare was paying off. We were doing this activity where we counted items in rows and columns, but I could just multiply as a shortcut. I also started grinding Beast Academy!
Which at the time didn't have Level 1
First Grade
I finished all of Beast Academy. Yes, including Level 5. Then, I started grinding khanacademy.
Second Grade
I learned how to multiply and divide fractions on khanacademy. Other than this, my second grade year was insignificant.
Third Grade
Same as preschool, ngl, during this year, my math level got so much worse.
Fourth Grade
I figured out that one of my classmates was in the Intermediate Algebra class, and I wanted to be more like him, so I started doing AoPS. I started off with Prealgebra, which was pretty easy overall. This was when I started to realize I hated graphing.
Fifth Grade
My classmate from fourth grade was taking the "High School Math Contests" course on AoPS, so this year, I decided to take both the "Introduction to Algebra" and the "Introduction to Geometry" classes.
Sixth Grade
I started taking the "Intermediate Algebra" course on AoPS. At around week 14, my dad thought that I wasn't ready for this class, so he enrolled me in the "Introduction to Counting and Probability" self-paced class because if I'm being honest here, I'm worse at Counting and Probability than I am at Algebra 2. This is where I am now. 

Quick Quote that was from MLK that I edited
If you can't run, then walk. If you can't walk, then crawl. If you can't crawl, then, um, well, at least roll dramatically for the Oscar-worthy performance.
In conclusion, AoPS has helped me improve my math. I have also made many new friends on AoPS!
Finally, I would like to say thank you to all the new friends I made and all the instructors on AoPS that taught me!
Minor side note, but
Sorry if this was uninteresting or smth like that. I am not responsible



This post has been edited 1 time. Last edited by PikaPika999, 6 hours ago
L
divisible by 111
by aria123, Apr 1, 2025, 3:16 PM
How many 6-digit natural numbers (with distinct digits) can be formed using the digits 2, 3, 4, 5, 6, and 7 that are divisible by 111?
I think I regressed at math
by PaperMath, Mar 8, 2025, 4:10 AM
I found the slip of paper a few days ago that I think I wrote when I was in kindergarten. It is just a sequence of numbers and you have to find the next number, the pattern is
. I couldn't solve this and was wondering if any of you can find the pattern

L
Is there a point in me continuing AoPS?
by julll55, Feb 24, 2025, 1:28 AM
Okay so for context, I am in 8th grade and I'm bad at math, well at least on the competitive level like AMC and stuff. When I was in 7th grade I did some practice AMC8 tests and got like 15-17.
I've just been recently wondering if there is a point in me continuing AoPS. It's not like I'm ever really going to be competitive at math at this rate, and I can't exactly devote more time to it because I have too many other activities I have to do. And since I'm going into 9th grade next year, I have to start taking the AMC10 to be able to go into further math competitions like the AIME. Plus, my school system doesn't do anything related to a math team (I live in Alabama).
So I'm not sure if I should continue learning math from AoPS, because I feel like I could just devote the 12-15 hours I spend on math each week to something else that I am actually good at. The only thing that is sort of stopping me is how much I've already invested into AoPS. I've done Beast Academy, pre-algebra through int algebra. intro c&p, into geo, intro number theory, amc8 and mathcounts.
To be honest, I just don't think I'm talented or even wanting to spend like 20+ hours a week on math just to be able to qualify for these types of competitions. I know that it can be good as an extracurricular and all, but I don't know if it's worth it to grind math. Because in school I do fine, I have like 100 in math, so it's not like I need extra tutoring.
I've just been recently wondering if there is a point in me continuing AoPS. It's not like I'm ever really going to be competitive at math at this rate, and I can't exactly devote more time to it because I have too many other activities I have to do. And since I'm going into 9th grade next year, I have to start taking the AMC10 to be able to go into further math competitions like the AIME. Plus, my school system doesn't do anything related to a math team (I live in Alabama).
So I'm not sure if I should continue learning math from AoPS, because I feel like I could just devote the 12-15 hours I spend on math each week to something else that I am actually good at. The only thing that is sort of stopping me is how much I've already invested into AoPS. I've done Beast Academy, pre-algebra through int algebra. intro c&p, into geo, intro number theory, amc8 and mathcounts.
To be honest, I just don't think I'm talented or even wanting to spend like 20+ hours a week on math just to be able to qualify for these types of competitions. I know that it can be good as an extracurricular and all, but I don't know if it's worth it to grind math. Because in school I do fine, I have like 100 in math, so it's not like I need extra tutoring.
ENTER YOUR CHAPTER INVITATIONAL SCORE
by ihatemath123, Feb 27, 2021, 7:23 PM
Annoying Probability Math Problem
by RYang2, Mar 14, 2018, 5:07 PM
I was working in my math textbook(not the AoPS one) when I came across this math problem:
Determine if the events are dependent or independent.
1. Drawing a red and a blue marble at the same time from a bag containing 6 red and 4 blue marbles
2.(omitted)
I thought it was independent, since the events happen at the same time, but the textbook answer said dependent.
Can someone help me understand(or prove the textbook wrong)?
Determine if the events are dependent or independent.
1. Drawing a red and a blue marble at the same time from a bag containing 6 red and 4 blue marbles
2.(omitted)
I thought it was independent, since the events happen at the same time, but the textbook answer said dependent.
Can someone help me understand(or prove the textbook wrong)?
This post has been edited 1 time. Last edited by RYang2, Mar 14, 2018, 5:10 PM
Reason: Too general subject
Reason: Too general subject
Bogus Proof Marathon
by pifinity, Mar 12, 2018, 7:33 PM
Hi!
I'd like to introduce the Bogus Proof Marathon.
In this marathon, simply post a bogus proof that is middle-school level and the next person will find the error. You don't have to post the real solution
Use classic Marathon format:
Example posts:
P(x)
S(x)
P(x+1)
so
and since
is just
therefore
so
Let's go!! Just don't make it too hard!
I'd like to introduce the Bogus Proof Marathon.
In this marathon, simply post a bogus proof that is middle-school level and the next person will find the error. You don't have to post the real solution

Use classic Marathon format:
[hide=P#]a1b2c3[/hide] [hide=S#]a1b2c3[/hide]
Example posts:
P(x)


S(x)
You raised everything to a power of zero, assuming that 

P(x+1)






Let's go!! Just don't make it too hard!
This post has been edited 3 times. Last edited by pifinity, Mar 12, 2018, 7:40 PM
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