Free exam prep study notes, lecture summaries, and subject guides for students at all levels. I’ve spent around two decades creating educational content and building resources that help people actually understand what they’re studying. Not just memorize it for the test and forget it a week later.
These aren’t generic notes copied from textbooks or scraped from random sources. They’re materials I’ve developed and refined based on real feedback from thousands of students. When something doesn’t click, I rewrite it. When I find a better way to explain a concept, I update the notes. That process never really stops.
Everything here is organized by subject: Mathematics, Physics, Chemistry, Biology, and more. Each resource is written in plain language, formatted for easy reading on any device, and updated regularly when curricula change or exam patterns shift.
Why give this away for free? Because I’ve been the student scrambling to find decent study materials the night before an exam. Good resources shouldn’t be locked behind expensive subscriptions or buried in cluttered websites full of ads. If these notes help you pass an exam you were worried about, that’s the whole point.
What you’ll find on this page:
- Subject-specific study notes covering key concepts, formulas, and worked examples that show you how to actually solve problems, not just what the answer is
- Lecture summaries that condense hours of material into focused reviews you can read in one sitting
- Exam prep tips based on patterns I’ve noticed across years of helping students prepare
- Practice problems with step-by-step solutions you can follow without getting lost
I add new resources regularly. When I see the same questions coming up over and over, that tells me something’s missing. So I fill the gap. When exam boards update their requirements, I adjust the notes to match.
Got a specific topic you’re struggling with? Use the form below to ask. I read every question. If it’s something other students would benefit from too, I’ll create a resource for it.
Math
Math builds on itself. Miss one concept and the next three won’t make sense. These notes break down topics step by step, with worked examples that show you the “why” behind each solution, not just the answer. From basic algebra to calculus, you’ll find explanations that actually stick.
- Zero of a Function
- Whole Numbers
- Trigonometric Identities
- Triangle Inequality
- Best Time Saving Mathematics Formulas & Theorems
- The Area of a Disk
- Supremum and Infimum
- Square Integrable Functions, Norms, Trial Method in Integral Equations
- Definitions and Types of Integral Equations
- Significant Figures: Definition, Usage and Examples
- Set
- Real Sequences: Definitions, Theorems, and Examples
- Irrational Numbers and The Proofs of their Irrationality
- Numbers - The Basic Introduction
- How to convert Integral Equations into Differential Equations?
- Important Definitions in Functional Analysis
- Function: Notations and Rules
- Fermat Numbers (Important Theorems & Examples)
- Fox-Rabbit Chase Problem [Solution & Math Proof]
- Equations: A Basic Introduction
- Everywhere Continuous Non-differentiable Function
- Dirichlet's Theorem and Liouville's Extension of Dirichlet's Theorem
- Difference Paradox
- Dedekind's Theory of Real Numbers
- Circumcenter of a Triangle: Definition, Types and Examples
- How to change Differential Equations into Integral Equations?
- Find the Day of a Date using this Calendar Formula
- Mathematical Logic - The basic introduction
Physics
Physics is just math with real-world context. Once you see it that way, everything clicks. These notes connect formulas to what’s actually happening, so you’re not just memorizing equations but understanding the mechanics, motion, and forces behind them.
- Wein’s Formula & Wein’s Laws
- What is a Transistor and How does it work?
- The Four Fundamental Forces of Nature
- Symmetry in Physical Laws
- Macrostates and Microstates and their relations with Thermodynamic Probability
- Standard Model
- Special Relativity
- Significant Figures: Definition, Usage and Examples
- Quantum Computing for Beginners: A Simple Guide
- Kinematic Equations Made Easy
- Jablonski Diagram - Consequences of Light Absorption
- The International System of Units
- Einstein Field Equations
- Bosons
- Boltzmann Constant
Chemistry
Chemistry has a reputation for being tough. It doesn’t have to be. These notes simplify reactions, bonding, and calculations into language you can actually follow. I focus on the concepts that show up repeatedly in exams because that’s where your marks are.
Biology
Biology is more about understanding systems than rote memorization. These notes help you see how things connect: cells to organs, genetics to evolution, ecosystems to organisms. Diagrams, clear definitions, and exam-focused summaries are all here.
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FAQs
Is this totally free?
Yes. All these exam prep study notes are totally free to use.
Can I download these notes in PDF?
Yes. You can download these notes in PDF from the downloads page.