THE PREP
AXIOM
FOUNDRY
Built By Students. For Students.
What Is PAF?
The Prep Axiom Foundry is a peer-led global academic community built for students serious about olympiad and other competitive exams, especially mathematics and physics, including biology and chemistry. A community of students.
Here, students form study groups, teach each other, take moderated tests, and compete in weekly challenges — all while being supported by mentors who have walked the same path.
We also believe that academic excellence and mental wellbeing go hand in hand. Our Student Advocate is always available — because no student should burn out preparing alone.
What We Offer
Form groups, decide topics together, teach each other in turns, then take a moderated test. Real learning through real collaboration.
Solve an exceptionally hard problem? It gets documented publicly — on Discord and this website — forever.
One hard problem every week. Best solution gets featured. Compete, think, and push your limits consistently.
Learn directly from mentors who have mastered the material. Discuss problems, get feedback on proofs, understand concepts deeply.
Curated free materials for IOQM, RMO, and IPhO — organized by topic. No more hunting for resources across the internet.
Feeling overwhelmed? Our Student Advocate is here. Because academic excellence and mental wellbeing are not opposites.
Think you have a problem hard enough to stump our mentors? Submit it. Win and earn a permanent Hall of Fame spot.
Track your contributions — problems solved, teaching sessions, test scores. Rise through the ranks. Earn your place.
Connect with serious students from across the world. Early Member badge available to the first 50 who join.
Join our Discord server for further information on upcoming features and community events.
Solved Problems
THE HALL AWAITS ITS FIRST SCHOLARS
Be among the first to solve a problem and claim your place here.
What We Study
📌 Please note — our primary focus is Mathematics and Physics, but we also explore Biology and Chemistry as supplementary subjects.
- Divisibility
- Prime Numbers
- GCD & LCM
- Modular Arithmetic
- Fermat's Theorem
- Chinese Remainder
- Diophantine Equations
- Polynomials
- Vieta's Formulas
- Inequalities
- AM-GM
- Cauchy-Schwarz
- Functional Equations
- Sequences & Series
- Triangle Congruence
- Circle Theorems
- Cyclic Quads
- Power of a Point
- Ptolemy's Theorem
- Ceva & Menelaus
- Trigonometry
- Counting Principles
- Permutations
- Pigeonhole
- Inclusion-Exclusion
- Binomial Theorem
- Graph Theory
- Probability
- Kinematics
- Newton's Laws
- Work & Energy
- Momentum
- Rotational Motion
- Gravitation
- Coulomb's Law
- Electric Fields
- Circuits
- Magnetic Fields
- Faraday's Law
- Maxwell's Equations
- Wave Properties
- Interference
- Diffraction
- Reflection & Refraction
- Doppler Effect
- Special Relativity
- Photoelectric Effect
- Atomic Models
- Nuclear Physics
- Quantum Basics
- Student-suggested topics
- Pre-university level only
- Grade 10, 11 or 12 standard
- Suggest topics in Discord
- Community decides together
- Post your topic in #resources
- Community votes on it
- Mentor approves the level
- Study group forms around it
The Team
A mathematics and physics enthusiast — a student and writer who is ambitious for his higher goals and ready to grow his mates.
Co-founder of PAF and fellow science enthusiast, building this community alongside Auvalen with shared ambition and purpose.
An undergraduate student doing engineering at IIT Bombay. A quiet but powerful presence guiding PAF from behind the scenes.
Experienced mathematics mentor and educator who believes in peer-led learning. Guiding PAF members through the hardest problems with patience and depth.
A trustworthy advocate who will become your friend and help you get through anything stressful that affects your academics.
We're looking for a compassionate person to support members' wellbeing or moderate the community. Think that's you? Join us.
Ready To Forge Your Mind?
The first 50 members receive a permanent Early Member badge. You will never be able to earn this again. The hall is open.