ka May Highlights and 2025 AoPS Online Class Information
jlacosta0
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]
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.
Introduction to Algebra A
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
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
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
Tuesday, May 6 - Aug 19
Wednesday, Jun 4 - Sep 17
Sunday, Jun 22 - Oct 19
Friday, Jul 18 - Nov 14
Introduction to Geometry
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
Paradoxes and Infinity
Mon, Tue, Wed, & Thurs, Jul 14 - Jul 16 (meets every day of the week!)
Intermediate: Grades 8-12
Intermediate Algebra
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
MATHCOUNTS/AMC 8 Basics
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
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
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
Introduction to Programming with Python
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
Some users don't want to learn, some other simply ignore advises.
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To make it short: ALWAYS USE YOUR COMMON SENSE IF POSTING!
If you don't have common sense, don't post.
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If that title occured already, it's definitely bad. And contest names aren't good either.
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Examples: Bad titles:
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- "Number Theory" (hey guy, guess why this forum's named that way¿ and is it the only such problem on earth¿)
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- "Number of solutions to x²+y²=6z²"
- "Fibonacci numbers are never squares"
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[code]+"first keyword" +"second keyword"[/code]
so that any post containing both strings "first word" and "second form".
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Some recent really bad post was:
[quote][/quote]
It contains no question and no answer.
If you do this, too, you are on the best way to get your thread deleted. Write everything clearly, define where your variables come from (and define the "natural" numbers if used). Additionally read your post at least twice before submitting. After you sent it, read it again and use the Edit-Button if necessary to correct errors.
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The above rules will be applied from next monday (5. march of 2007).
Feel free to discuss on this here.
A glass is filled with milk. Two-thirds of its content is poured out and replace
Vulch0
33 minutes ago
A glass is filled with milk. Two-thirds of its content is poured out and replaced with water. If this process of pouring out two-thirds the content and replacing with water is repeated three more times, then the final ratio of milk to water in the glass, is
Acute-angled triangle with and let be it’s circumcircle. Diameters and are drawn. Circle interescts at . Circle intersects at .( lies between and ). Prove that lines and intersect at circle .
I am looking to get on my school MATHCOUNTS team next year in 7th grade, and I had a question: Where do the school round questions come from? (Sprint, Chapter, Team, Countdown)
The numbers from 1 to are randomly arranged in the cells of a square (). For any pair of numbers situated on the same row or on the same column the ratio of the greater number to the smaller number is calculated. Let us call the characteristic of the arrangement the smallest of these fractions. What is the highest possible value of the characteristic ?
A triangle has centroid . A line parallel to passing through intersects the circumcircle of at . Let lines and intersect at . Suppose a point is chosen on such that the tangent of the circumcircle of at , the tangent of the circumcircle of at and concur. Prove that .
Solved with resources, greendivisors, eg4334, lpieleanu, SigmaPiE, Arcticturn, and CoolJupiter.
Here, having several continguous characters as a variable name is absurd! A clear counterexample is in programming, a variable name is invalid if it contains spaces. Thus, the only reasonable explanation is a multiplication using the symbol standard. We want to solve: But this is just . Since we are in Middle School Math, we will not consider the case of as surely outrage will spark. Now if you are not experienced in the dark arts, a feeble-minded individual would simply plug in and sum it up. How absurd! Instead, we explore the more reasonable path of multiplying the "normal" sum of by , as every unit in the sum is replaced by the embedded within the sequence, clearly the intended path of the creator.
Now suppose it is thousands of years ago and we do not have a calculator. We instead use the approximation written by Euclid himself on a humble rock. Multiplying with our fingers, we obtain Since has significant figures, we round our answer accordingly to scientific procedure to obtain .
This post has been edited 2 times. Last edited by blueprimes, Apr 2, 2025, 2:37 AM
Solved with resources, greendivisors, eg4334, lpieleanu, SigmaPiE, Arcticturn, and CoolJupiter.
Here, having several continguous characters as a variable name is absurd! A clear counterexample is in programming, a variable name is invalid if it contains spaces. Thus, the only reasonable explanation is a multiplication using the symbol standard. We want to solve: But this is just . Since we are in Middle School Math, we will not consider the case of as surely outrage will spark. Now if you are not experienced in the dark arts, a feeble-minded individual would simply plug in and sum it up. How absurd! Instead, we explore the more reasonable path of multiplying the "normal" sum of by , as every unit in the sum is replaced by the embedded within the sequence, clearly the intended path of the creator.
Now suppose it is thousands of years ago and we do not have a calculator. We instead use the approximation written by Euclid himself on a humble rock. Multiplying with our fingers, we obtain Since has significant figures, we round our answer accordingly to scientific procedure to obtain .
Solved with resources, greendivisors, eg4334, lpieleanu, SigmaPiE, Arcticturn, and CoolJupiter.
Here, having several continguous characters as a variable name is absurd! A clear counterexample is in programming, a variable name is invalid if it contains spaces. Thus, the only reasonable explanation is a multiplication using the symbol standard. We want to solve: But this is just . Since we are in Middle School Math, we will not consider the case of as surely outrage will spark. Now if you are not experienced in the dark arts, a feeble-minded individual would simply plug in and sum it up. How absurd! Instead, we explore the more reasonable path of multiplying the "normal" sum of by , as every unit in the sum is replaced by the embedded within the sequence, clearly the intended path of the creator.
Now suppose it is thousands of years ago and we do not have a calculator. We instead use the approximation written by Euclid himself on a humble rock. Multiplying with our fingers, we obtain Since has significant figures, we round our answer accordingly to scientific procedure to obtain .
Best solution so far but this makes a slight assumption which seems trivial but is actually incorrect. However, this would probably still get partials.
Intended sol (according to some moppers): Click to reveal hidden text
Let be the group with set and operation of multiplication. Suppose, furthermore, that . We obtain with as an identity, that the distributive property only applies to the terms of within the notation . In particular, ,,, and are not considered. Therefore the correct radical form is , or
Remark: I don't know how it would be expected in contest for anyone to actually be able to evaluate within a reasonable timing even after finding the (already hard) cruxes of considering and finding , so this problem is probably best just to be posted here for us to speculate and not used within a timed contest.
This post has been edited 6 times. Last edited by arfekete, Apr 2, 2025, 2:53 AM
For clarity, we will write any " " in our math as "space". Then spacespacespacespace so space=
We aim to compute spacespacespacespacespacespacespacespacespacespacespace This is simply: We will now estimate to the nearest integer, because every number in the problem is an integer. we have 1.6^4=6.5536<7 but 1.7^4=8.3521 so Similarly, Thus, the first part is
for the second part, finitely many nested roots bad. infinitely many better. assume infinitely many. let it be then so Now, use newton's method on Guess Then Close enough.
Finally, Our sum is which fittingly enough is the last two digits of the year. Also, the sum of the first two parts and the last part are, when rounded, are the two squares that when combined with the three in the date, make the first five squares, which is a beautiful easter egg in memorium for easter being in (last two digits of year)-(month number) days.