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k a May Highlights and 2025 AoPS Online Class Information
jlacosta   0
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]
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0 replies
jlacosta
May 1, 2025
0 replies
Inequalities
sqing   16
N 43 minutes ago by sqing
Let $ a,b>0   $ . Prove that
$$ \frac{a}{a^2+a +2b+1}+ \frac{b}{b^2+2a +b+1}  \leq  \frac{2}{5} $$$$ \frac{a}{a^2+2a +b+1}+ \frac{b}{b^2+a +2b+1}  \leq  \frac{2}{5} $$
16 replies
+1 w
sqing
May 13, 2025
sqing
43 minutes ago
geometry
luckvoltia.112   0
2 hours ago
Let \( \triangle ABC \) be an acute triangle with \( AB < AC \), and its vertices lie on the circle \( (O) \). Let \( AD \) be the altitude from vertex \( A \). Let \( E \) and \( F \) be the feet of the perpendiculars from \( D \) to the lines \( AB \) and \( AC \), respectively. Let \( EF \) intersect the circle \( (O) \) again at points \( P \) and \( Q \) such that \( E \) lies between \( Q \) and \( F \). Let the lines \( AD \) and \( EF \) intersect at point \( G \). Let \( I \) be the midpoint of segment \( AD \). Let \( AO \) intersect line \( BC \) at point \( K \).
a) Prove that \( AP = AQ = AD \).
b) Prove that line \( OI \) is parallel to line \( KG \).
c)Let \( H \) be the orthocenter of triangle \( ABC \), and let \( M \) be the midpoint of segment \( BC \). $S$ is the center (HBC). Let point \( T \) lie on line \( DS \) such that ray \( KD \) is the angle bisector of \( \angle GKT \). Prove that lines \( AD \) and \( MT \) intersect at a point lying on circle \( (O) \).
0 replies
luckvoltia.112
2 hours ago
0 replies
Great Geometry with Squares on sides of triangles
SomeonecoolLovesMaths   2
N 3 hours ago by happypi31415
Three squares are drawn on the sides of triangle \(ABC\) (i.e., the square on \(AB\) has \(AB\) as one of its sides and lies outside \(ABC\)). Show that the lines drawn from the vertices \(A\), \(B\), and \(C\) to the centers of the opposite squares are concurrent.

IMAGE
2 replies
SomeonecoolLovesMaths
Yesterday at 9:44 PM
happypi31415
3 hours ago
Inequalities
sqing   17
N 3 hours ago by sqing
Let $ a,b,c\geq 0 ,a+b+c\leq 3. $ Prove that
$$a^2+b^2+c^2+ab +2ca+2bc +  abc \leq \frac{251}{27}$$$$ a^2+b^2+c^2+ab+2ca+2bc  + \frac{2}{5}abc  \leq \frac{4861}{540}$$$$ a^2+b^2+c^2+ab+2ca+2bc  + \frac{7}{20}abc  \leq \frac{2381411}{26460}$$
17 replies
sqing
Wednesday at 12:47 PM
sqing
3 hours ago
No more topics!
Calculus BC help
needcalculusasap45   7
N Apr 20, 2025 by ehz2701
So basically, I have the AP Calculus BC exam in less than a month, and I have only covered until Unit 6 or 7 of the cirriculum. I am self studying this course (no teacher) and have not had much time to study bc of 6 other APs. I need to finish 8, 9, and 10 in less than 2 weeks. What can I do ? I would appreciate any help or resources anyone could provide. Could I just learn everything from barrons and princeton? Also, I have not taken AP Calculus AB before.

7 replies
needcalculusasap45
Apr 19, 2025
ehz2701
Apr 20, 2025
Calculus BC help
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needcalculusasap45
6 posts
#1
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So basically, I have the AP Calculus BC exam in less than a month, and I have only covered until Unit 6 or 7 of the cirriculum. I am self studying this course (no teacher) and have not had much time to study bc of 6 other APs. I need to finish 8, 9, and 10 in less than 2 weeks. What can I do ? I would appreciate any help or resources anyone could provide. Could I just learn everything from barrons and princeton? Also, I have not taken AP Calculus AB before.
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needcalculusasap45
6 posts
#2
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bump....
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SmartGroot
2792 posts
#3
Y by
needcalculusasap45 wrote:
So basically, I have the AP Calculus BC exam in less than a month, and I have only covered until Unit 6 or 7 of the cirriculum. I am self studying this course (no teacher) and have not had much time to study bc of 6 other APs. I need to finish 8, 9, and 10 in less than 2 weeks. What can I do ? I would appreciate any help or resources anyone could provide. Could I just learn everything from barrons and princeton? Also, I have not taken AP Calculus AB before.

"6 other AP's" ---> you're taking 7 APs in one year?

also are you a junior or something else
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needcalculusasap45
6 posts
#4
Y by
SmartGroot wrote:
needcalculusasap45 wrote:
So basically, I have the AP Calculus BC exam in less than a month, and I have only covered until Unit 6 or 7 of the cirriculum. I am self studying this course (no teacher) and have not had much time to study bc of 6 other APs. I need to finish 8, 9, and 10 in less than 2 weeks. What can I do ? I would appreciate any help or resources anyone could provide. Could I just learn everything from barrons and princeton? Also, I have not taken AP Calculus AB before.

"6 other AP's" ---> you're taking 7 APs in one year?

also are you a junior or something else
yes to both
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SmartGroot
2792 posts
#5
Y by
needcalculusasap45 wrote:
SmartGroot wrote:
needcalculusasap45 wrote:
So basically, I have the AP Calculus BC exam in less than a month, and I have only covered until Unit 6 or 7 of the cirriculum. I am self studying this course (no teacher) and have not had much time to study bc of 6 other APs. I need to finish 8, 9, and 10 in less than 2 weeks. What can I do ? I would appreciate any help or resources anyone could provide. Could I just learn everything from barrons and princeton? Also, I have not taken AP Calculus AB before.

"6 other AP's" ---> you're taking 7 APs in one year?

also are you a junior or something else
yes to both

you take 7-8 APs throughout your whole high school experience... not in a single year... how do you get your extracurriculars in?
This post has been edited 1 time. Last edited by SmartGroot, Apr 19, 2025, 9:52 PM
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needcalculusasap45
6 posts
#6
Y by
Quote:
you take 7-8 APs throughout your whole high school experience... not in a single year... how do you get your extracurriculars in?

bro thats not the point here

i just need the best strat and resources that i could learn stuff asap
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SmartGroot
2792 posts
#7
Y by
needcalculusasap45 wrote:
Quote:
you take 7-8 APs throughout your whole high school experience... not in a single year... how do you get your extracurriculars in?

bro thats not the point here

i just need the best strat and resources that i could learn stuff asap

Alright, understood, it's just that in order to get genuine advice, the question you ask needs to be credible. I'm not sure what your situation is but it's not ideal and risky to cram 7 AP classes/tests in one year. In these situations, you can cram but it's not going to be expected to get the result you desire. I have never heard of anyone who is taking seven AP exams in one year of high school.
This post has been edited 2 times. Last edited by SmartGroot, Apr 19, 2025, 11:23 PM
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ehz2701
766 posts
#8
Y by
needcalculusasap45 wrote:
So basically, I have the AP Calculus BC exam in less than a month, and I have only covered until Unit 6 or 7 of the cirriculum. I am self studying this course (no teacher) and have not had much time to study bc of 6 other APs. I need to finish 8, 9, and 10 in less than 2 weeks. What can I do ? I would appreciate any help or resources anyone could provide. Could I just learn everything from barrons and princeton? Also, I have not taken AP Calculus AB before.

I would say the most confusing portion is series. Thee are excellent stuff online, but you should focus on learning some of the convergence tests out there. I guarantee you on the FRQ there will be a series problem. Also, guaranteed rate problem and explaining the meaning kind of question. There are practice tests available online, so learn the form they want the answer in. Like, if $P(t)$ is the amount of bananas Kyle currently has in his garage (where $t$ is in hours), then what does $P’’(21)=-1.235$ mean in this context with units or something.

(At time $t=21$ hours, the rate at which the amount of Bananas Kyle has is decreasing by $1.235$ bananas per hour per hour)
This post has been edited 2 times. Last edited by ehz2701, Apr 20, 2025, 1:46 AM
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