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k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

Looking for summer camps in math and language arts? Be sure to check out the video-based summer camps offered at the Virtual Campus that are 2- to 4-weeks in duration. 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)!

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[list][*]April 3rd (Webinar), 4pm PT/7:00pm ET, Learning with AoPS: Perspectives from a Parent, Math Camp Instructor, and University Professor
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April 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/list]
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jlacosta
Apr 2, 2025
0 replies
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New geometry problem
titaniumfalcon   3
N 20 minutes ago by mathprodigy2011
Post any solutions you have, with explanation or proof if possible, good luck!
3 replies
titaniumfalcon
Yesterday at 10:40 PM
mathprodigy2011
20 minutes ago
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School Math Problem
math_cool123   5
N 29 minutes ago by math_cool123
Find all ordered pairs of nonzero integers $(a, b)$ that satisfy $$(a^2+b)(a+b^2)=(a-b)^3.$$
5 replies
math_cool123
Apr 2, 2025
math_cool123
29 minutes ago
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KSEA NMSC Mock Contest Group B (Last Problem)
Shiyul   3
N 2 hours ago by Giant_PT
Let $a_n$ be a sequence defined by $a_n = a^2 + 1$. Then the product of four consecutive terms in $a_n$ can be written as the product of two terms in $a_n$. Find $p + q$ if $(a_(11))(a_(12))(a_(13))(a_(14)) = (a_p)(a_q)$.
3 replies
Shiyul
Today at 3:09 PM
Giant_PT
2 hours ago
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Geo Mock #10
Bluesoul   2
N 3 hours ago by Bluesoul
Consider acute $\triangle{ABC}$ with $AB=10$, $AC<BC$ and area $135$. The circle $\omega$ with diameter $AB$ meets $BC$ at $E$. Let the orthocenter of the triangle be $H$, connect $CH$ and extend to meet $\omega$ at $N$ such that $NC>HC$ and $NE$ is the diameter of $\omega$. Draw the circumcircle $\Gamma$ of $\triangle{AHB}$, chord $XY$ of $\Gamma$ is tangent to $\omega$ and it passes through $N$, compute $XY$.
2 replies
Bluesoul
Apr 1, 2025
Bluesoul
3 hours ago
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plane cuts a rectangular parallelepiped (2010 Euler Teachers' MO I p6)
parmenides51   0
Jul 10, 2020
Through the vertex $D$ of the rectangular parallelepiped $ABCDA_1B_1C_1D_1$ held a parallelepiped section by a plane intersecting the edges $AA_1,BB_1$, and $CC_1$ at points $K, M$, and $N$, respectively. Find ratio of the volume of the pyramid with the vertex at point $P$ and the base $DKMN$ to the volume of the given parallelepiped if it is known that the point $P$ divides the edge $DD_1$ with respect to $DP: PD_1= m:n$.
0 replies
parmenides51
Jul 10, 2020
0 replies
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plane cuts a rectangular parallelepiped (2010 Euler Teachers' MO I p6)
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parmenides51
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parmenides51
#1 h  Jul 10, 2020, 6:13 AM • 1 Y
Y by Mango247
Through the vertex $D$ of the rectangular parallelepiped $ABCDA_1B_1C_1D_1$ held a parallelepiped section by a plane intersecting the edges $AA_1,BB_1$, and $CC_1$ at points $K, M$, and $N$, respectively. Find ratio of the volume of the pyramid with the vertex at point $P$ and the base $DKMN$ to the volume of the given parallelepiped if it is known that the point $P$ divides the edge $DD_1$ with respect to $DP: PD_1= m:n$.
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