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Class 10 Mathematics Complete Notes & Coursebook – Chapter-Wise Formulas, Concepts, Solved Examples & Practice Questions

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Class 10 Mathematics Complete Notes & Coursebook This comprehensive Class 10 Mathematics PDF is designed as an all-in-one study and revision resource for students preparing for their Class 10 Mathematics examinations. It brings together important concepts, definitions, formulas, theorems, solved examples, practice questions, and revision material in a clear chapter-wise format. What This PDF Covers The coursebook covers the major areas of Class 10 Mathematics, including: - Real Numbers – Euclid’s division algorithm, Fundamental Theorem of Arithmetic, HCF, LCM, irrational numbers, and applications. - Polynomials – zeros of polynomials, relationship between zeros and coefficients, and polynomial problems. - Pair of Linear Equations in Two Variables – graphical method, substitution, elimination, consistency, and word problems. - Quadratic Equations – factorisation, completing the square, quadratic formula, discriminant, nature of roots, and applications. - Arithmetic Progressions – sequences, common difference, nth term, sum of terms, and application-based questions. - Coordinate Geometry – distance formula, section formula, internal division, and coordinate-based problems. - Triangles – similarity, Basic Proportionality Theorem, similarity criteria, areas of similar triangles, and Pythagoras theorem. - Circles – tangents, properties of tangents, radius-tangent relationship, and important theorems. - Introduction to Trigonometry – trigonometric ratios, standard angles, relationships between ratios, and applications. - Trigonometric Identities – fundamental identities, simplification, and identity-based questions. - Heights and Distances – angles of elevation and depression and practical application problems. - Areas Related to Circles – circumference, area, sectors, arcs, segments, and composite figures. - Surface Areas and Volumes – cubes, cuboids, cylinders, cones, spheres, hemispheres, and combinations of solids. - Statistics – grouped data, mean, median, mode, cumulative frequency, and statistical calculations. - Probability – experiments, sample spaces, events, classical probability, and complementary events. ️ Learning Features Each chapter is structured to make learning easier and more organized. The PDF includes: - Chapter-wise concepts - Important definitions - Essential formulas - Theorems and properties - Step-by-step solved examples - Numerical problems - Practice exercises - Exam-oriented questions - Revision material - Formula revision sections - Application-based questions - Mixed practice for exam preparation Who Is This PDF For? This coursebook is suitable for: - Class 10 students - Students preparing for Mathematics board examinations - Students who want chapter-wise revision notes - Students looking for a single Mathematics study resource - Students who need quick access to important formulas and concepts - Students practising numerical and application-based questions How to Use It Students can use the PDF throughout the academic year. Start each chapter by studying the concepts and formulas, follow them with the solved examples, and then attempt the practice questions independently. Before examinations, the formula and revision sections can be used for quick revision. Main Benefits This PDF is intended to save students time by bringing essential Class 10 Mathematics material together in one organized coursebook. Instead of switching between multiple resources, students can use it for learning concepts, revising formulas, practising problems, and preparing for examinations. In short, this is a complete Class 10 Mathematics study and revision coursebook combining concepts, formulas, examples, practice, and exam preparation in one structured PDF.

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■ MATHEMATICS
Class 10 (CBSE/ICSE/State Boards)

Complete Coursebook & Practice Manual



Based on NCERT & Latest Syllabus




✍■ Handwritten Notes Style




Student Name: _________________________

School: _________________________

Academic Year: 2025 - 2026




Class 10 Mathematics • Page 1

, MATHEMATICS: CLASS 10

Complete Coursebook & Handwritten Notes

<center> <h1>■ MATHEMATICS</h1> <h2>Class 10 (CBSE/ICSE/State Boards)</h2> <h3>Complete Coursebook
& Practice Manual</h3> <br> <h4>Based on NCERT & Latest Syllabus</h4> <br> <br> <h3>✍■ Handwritten Notes
Style</h3> <br> <br> <br> <p><b>Student Name:</b> _________________________</p> <p><b>School:</b>
_________________________</p> <p><b>Academic Year:</b> 2025 - 2026</p> </center>
Chapter No. | Topic | Page No.

PART A: ALGEBRA
1 | Real Numbers | 1

2 | Polynomials | 12

3 | Pair of Linear Equations in Two Variables | 25

4 | Quadratic Equations | 40

5 | Arithmetic Progressions | 55

PART B: GEOMETRY & TRIGONOMETRY
6 | Triangles | 68

7 | Coordinate Geometry | 82

8 | Introduction to Trigonometry | 95

9 | Some Applications of Trigonometry | 110

10 | Circles | 120

11 | Constructions | 130

PART C: MENSURATION & STATISTICS
12 | Areas Related to Circles | 140

13 | Surface Areas and Volumes | 155

14 | Statistics | 170

15 | Probability | 185

PART D: MOCK TESTS

Practice Paper 1 (Basic) 195

Practice Paper 2 (Standard) 200
Answer Key & Solutions | 205


Chapter 1: Real Numbers
Topic: Euclid’s Division Lemma, HCF, LCM, Irrational Numbers.


✍■ HANDWRITTEN NOTES

1. Euclid’s Division Lemma:

For any two positive integers *a* and *b*, there exist unique integers *q* and *r* such that:
a = bq + r, where 0 ≤ r < b.

Here, 'a' is the dividend, 'b' is the divisor, 'q' is the quotient, and 'r' is the remainder.



Class 10 Mathematics • Page 2

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