Gagan Pratap Advance Maths Complete Class Notes May 2026

"I cleared SSC CGL 2022 (Tier I & II) with 187/200 in Maths. I didn't touch any reference book. Just Gagan Pratap sir's class notes, solved thrice."Ankit Sharma, Patna

"The Geometry chapter alone is worth the price of the entire book. Concepts of orthocenter, incenter, and circumcenter are explained in a way that you can never forget."Neha Verma, UPSC CDS Aspirant

  • Unit Digit:
  • Last Two Digits: Methods to find the last two digits of large powers.
  • Number of Zeros: Calculating trailing zeros in factorials ($n!$).
  • Indices & Surds: Simplification rules and rationalization.
  • Warning: Multiple fake/old editions exist. Prefer 4th or 5th edition (2025 onward).


    Prepared by: Academic Material Review Unit
    For: Personal or coaching center use – not for commercial redistribution.

    The Gagan Pratap Advance Maths Complete Class Notes (2026 Edition) is highly regarded by SSC aspirants for its comprehensive coverage of advanced topics and its "handwritten" solution style. It is particularly effective for students who already have a basic understanding of mathematics and want to master high-level shortcuts and conceptual tricks. Key Features

    Bilingual Content: All explanations and questions are provided in both Hindi and English, making it accessible to a wider range of students.

    Updated Content: The newest edition (2026) includes updated questions from recent SSC CGL, CHSL, and Selection Post exams through 2025. Topic Coverage: The book is divided into 8 major sections: Geometry, 2D & 3D Mensuration Trigonometry Statistics, Probability, and Permutation & Combination.

    Solution Format: It features Gagan Pratap's specific classroom methods and handwritten-style solutions, which many students find more intuitive than standard textbook explanations. Pros

    Exam-Centric Approach: Focuses heavily on shortcuts, ratio methods, and "value-putting" techniques to increase problem-solving speed.

    High-Level Questions: Includes challenging questions sourced from exams like CAT, XAT, and GMAT to prepare students for the toughest possible SSC shifts.

    Visual Quality: The updated edition is printed in color with high-quality paper, improving readability. Cons

    Gagan Pratap’s Advance Maths Complete Class Notes have become a cornerstone for competitive exam aspirants in India, particularly those targeting the SSC CGL, CPO, and CHSL

    exams. These notes are highly regarded because they bridge the gap between basic conceptual understanding and the high-speed execution required in modern examinations. Structured and Comprehensive Content The notes are meticulously organized into key modules:

    Geometry, Mensuration, Trigonometry, Algebra, and Number System

    . Unlike traditional textbooks that often feel disconnected, these class notes follow a logical flow. Each chapter begins with fundamental definitions and theorems, gradually progressing to complex, multi-layered problems that mirror the evolving patterns of the Staff Selection Commission (SSC). The "Gagan Pratap" Approach What sets these notes apart is the focus on exam-oriented shortcuts

    . Pratap is known for teaching students how to bypass lengthy traditional methods in favor of: Option Elimination:

    Teaching students to identify the correct answer without solving the entire equation. Digital Sum & Unit Digit Methods: Speeding up calculation-heavy chapters like Mensuration. Intuitive Visualization:

    Especially in Geometry, helping students "see" the properties of figures rather than just memorizing formulas. Clarity and Accessibility

    The notes are typically handwritten or digitally transcribed from his live lectures, maintaining a conversational tone gagan pratap advance maths complete class notes

    that makes self-study easier. They include a diverse range of questions, from previous year questions (PYQs) to "expected" questions that challenge the student's logic. This variety ensures that a learner is prepared for both standard patterns and unexpected "curveball" questions. Final Verdict

    For any student serious about mastering Advance Maths, these notes serve as a comprehensive

    . They do not just provide solutions; they build the mathematical temperament needed to tackle 25–50 questions in a high-pressure, timed environment. study schedule to cover these notes efficiently?


    While often considered "Basic," Gagan Pratap treats Arithmetic with Advanced depth in higher-level exams.

  • Percentage & Ratio (The Base):

  • Profit, Loss & Discount:

  • Simple & Compound Interest:

  • Time & Work / Pipes & Cisterns:

  • Time, Speed & Distance:


  • Gagan Pratap Sir’s notes (often published as the "Maths Kingdom" book or distributed as class handouts) are highly regarded in the SSC community for two specific reasons:

    For three years, Arjun had been chasing a ghost. The ghost wasn’t a person, but a promise: the Gagan Pratap Advance Maths Complete Class Notes.

    He had heard the whispers in the dingy corridors of his coaching institute in Old Rajendra Nagar, Delhi. “They aren’t just notes,” the topper, Ritu, had told him, her eyes wide. “They are a map. They don’t just teach you how to solve a problem; they show you why the problem was born in the first place.”

    Arjun, a civil services aspirant, had a mortal fear of the maths section—specifically the “Advanced” portion: Mensuration 3D, Trigonometry’s deeper labyrinths, and the dreaded Differential Calculus. His own notebooks were a graveyard of incomplete formulas and tear-stained eraser marks.

    One humid monsoon afternoon, while browsing a dusty second-hand book stall near the Karol Bagh market, he found it. Tucked between a worn-out novel and a 1990s geography atlas was a thick, spiral-bound bundle. The cover was plain, but the title was handwritten in neat, confident ink: Gagan Pratap – Advance Maths – Complete Class Notes.

    His heart stopped. The price the old man asked was a month’s tiffin budget, but Arjun paid it without blinking.

    That night, in his cramped PG room, he opened the notes. They weren’t beautiful. They were alive. The margins were filled with tiny arrows, jokes in Hindi (“Area of circle? πr². Area of your tension? Zero if you read this.”), and shortcuts he had never seen before.

    The first chapter was on Logarithms. Arjun had always seen them as abstract monsters. But Gagan Sir’s note read: “Log is just a lazy cousin of exponents. If 10² = 100, log₁₀ 100 = 2. It’s not magic. It’s just asking: ‘10 raised to what power gives me this number?’”

    For the first time, the fog lifted.

    Chapter three was Geometry. He had always stumbled on Cyclic Quadrilaterals. But Gagan Sir had drawn a crude, funny diagram of a four-sided figure with a smiley face inside, and written: “Property: Opposite angles sum to 180°. Why? Because God wants them to be friends. Memorize this: ∠A + ∠C = ∠B + ∠D = 180°.”

    Arjun laughed. He was learning.

    The real test came during Integration. The notes had a boxed section titled “The Final Boss.” It was a collection of 50 problems that Gagan Sir had apparently called “The Gatekeepers.” “Solve these,” the note said, “and no exam hall in India can stop you.”

    Arjun spent three sleepless weeks on those 50 problems. He got stuck on problem number 17—a monstrous combination of trigonometric substitution and partial fractions. He turned the page. There was no solution. Instead, a single line: “Tum ruk gaye? (Did you stop?) Go back. The trick is in Chapter 2, Example 4.”

    He flipped back. There it was. The missing piece. The notes weren’t just teaching him maths; they were teaching him how to think.

    When he finally solved problem 50, he felt a click in his brain—like a rusty gear finally greased and turning smoothly.

    The day of the prelims arrived. The maths section was brutal. Students around him were sweating, erasing answers, whispering in panic. Arjun looked at the first tough question—a 3D mensuration problem involving a cone inside a cylinder.

    He closed his eyes. He didn’t see a formula. He saw Gagan Sir’s handwritten note: “Visualize. Cut the 3D shape into 2D slices. The volume is just layers of circles stacked up.”

    He opened his eyes. The problem was easy.

    He solved 18 out of 20 maths questions. For him, that was a miracle.

    When the results came, Arjun’s name was on the list. He didn’t scream or cry. He just went back to his room, took out the battered spiral notes, and touched the cover.

    They were just photocopied pages. But inside them was a bridge—a bridge that connected a frightened student to a confident problem-solver. The notes hadn’t just given him formulas. They had given him a teacher’s soul, trapped in ink, whispering across a classroom he never sat in.

    He never met Gagan Pratap. But every time he solves a difficult equation today, he still hears that voice: “Tum ruk gaye? Go back. The trick is in Chapter 2.”

    Gagan Pratap's Advance Maths Complete Class Notes are curated by renowned educator Gagan Pratap Sir to cover the advanced mathematics syllabus for competitive exams like SSC CGL, CHSL, CPO, CDS, and Railways. 📘 Overview of the Notes The Complete Class Notes – Advance Maths

    published by Champion Publication is a comprehensive book that mirrors classroom teachings with a strong emphasis on conceptual clarity and exam-oriented shortcuts.

    Bilingual Content: Explanations are provided in both Hindi and English for broad accessibility.

    Detailed Solutions: Complex mathematical problems are broken down with step-by-step methods and smart tricks.

    Authentic Questions: The book heavily features previous year questions and practice sets strictly aligned with the TCS pattern. 🗺️ Syllabus & Core Topics Covered "I cleared SSC CGL 2022 (Tier I & II) with 187/200 in Maths

    The materials cover the core pillars of Advanced Mathematics tested in national level examinations:

    Algebra: Linear equations, quadratic equations, and complex polynomial identities.

    Geometry: Lines, angles, triangles, circles, and quadrilaterals with essential theorems.

    Trigonometry: Basic ratios, trigonometric identities, maximum/minimum values, and heights & distances.

    Mensuration (2D & 3D): Perimeter, area, volume, and surface area of standard geometric solids.

    Coordinate Geometry: Distance formula, section formula, slope, and equations of straight lines.

    Number System: Remainder theorem, unit digits, factors, and LCM/HCF. 🚀 Guide on How to Study the Notes Effectively

    To extract the maximum value out of these notes during your competitive exam preparation, adopt this structured learning approach:

    Build the Foundations First: Do not jump straight to solving hard problems. Read the core concepts and theorems provided at the beginning of each chapter carefully.

    Master the Smart Methods: Gagan Pratap Sir is well known for his "smart approaches" to reduce calculation times. Pay close attention to these shortcut derivations instead of just memorizing the formulas.

    Practice Incrementally: Solve the chapter-wise practice sets systematically. Start with basic level questions to build confidence before moving to VIP/high-level complex problems.

    Iterative Revision: Mathematics requires continuous muscle memory. Use the summarized formula sections to do a quick scan revision every week.

    Supplement with Mock Tests: Once you finish a chapter from these notes, take specific sectional quizzes to test your speed and accuracy in an active exam environment. 🛒 Where to Access the Notes

    You can legally acquire these materials through the following digital and physical avenues:

    E-Commerce Stores: Buy the latest hardcopy editions of the notes on Amazon India or via the official seller listings on Flipkart.

    Android Applications: You can download digital PDF formats to read on your smartphone via the Advance Class Notes Maths App on Google Play which provides offline access options.

    Amazon.in: Gagan Pratap Sir - Government Exams / Exam Preparation

    I understand you're looking for a useful review of Gagan Pratap's Advance Maths Complete Class Notes. This is a popular resource among SSC CGL, CPO, CDS, and other competitive exam aspirants in India. "The Geometry chapter alone is worth the price

    Below is an objective, detailed, and useful review based on common student experiences and content analysis.


  • Identities: Advanced identities for higher powers.
  • Linear Equations: One variable and two variables.
  • Quadratic Equations: Factorization method and the $Sridharacharya$ formula.
  • Algebraic Simplification: Tricks to solve lengthy equations quickly.
  • Maximum & Minimum Values: Finding the max/min value of algebraic expressions.