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Mathematics Complete Guide

Syllabus, official resources, chapter guides, textbook solutions, question bank, model papers, revision plan, exam tips, and FAQs.

Chapters

14

Published Guides

29

Chapter Guides

15/14

Practice Resources

0

📝 Textbook Exercise Solutions — Chapter-wise

MCQ, short answers, long answers, and numericals with full worked solutions

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📥 NCERT + Best Reference Books for Mathematics

Free NCERT link · ranked reference books · what to read and why

View Books Guide →

Subject Roadmap

Mapped

14 Mathematics chapters arranged by unit for Class 10.

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Syllabus and Official Resources

Official-first

6 syllabus focus areas with CBSE official resources as the primary source.

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Chapter Summaries

Live

15 published chapter guides available for Mathematics.

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Textbook Exercise Solutions

Planned

Chapter-wise MCQ, short answers, long answers, and numericals with worked solutions.

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Important Questions

Ready

5 question patterns are listed for one-mark, short-answer, and long-answer practice.

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Model Papers

Planned

Model paper practice will be added with time plans and correction checklists.

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Revision Plan

Planned

Revision plan will be added with weekly targets and mistake-notebook checks.

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Exam Tips

Subject-specific

Exam guidance focuses on mathematics presentation, keywords, time use, and common mistakes.

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FAQs

In guides

FAQs are included inside individual guides so answers stay close to the exact chapter or resource.

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Syllabus Roadmap

  • Number systems: real numbers, Euclid's division lemma.
  • Algebra: polynomials, linear equations, quadratic equations, AP.
  • Geometry: triangles, coordinate geometry, circles, constructions.
  • Trigonometry: ratios, identities, applications.
  • Mensuration: areas, surface areas, volumes.
  • Statistics and probability.

Official Books

Free NCERT textbook + best reference books for CBSE Mathematics Class 10.

NCERT + Reference Books →

Chapter Dashboard

15/14 chapter guides published

Number System · Chapter 1

Real Numbers

Live
Open guide

Algebra · Chapter 2

Polynomials

Live
Open guide

Algebra · Chapter 3

Pair of Linear Equations in Two Variables

Live
Open guide

Algebra · Chapter 4

Quadratic Equations

Live
Open guide

Algebra · Chapter 5

Arithmetic Progressions

Live
Open guide

Geometry · Chapter 6

Triangles

Live
Open guide

Geometry · Chapter 7

Coordinate Geometry

Live
Open guide

Trigonometry · Chapter 8

Introduction to Trigonometry

Live
Open guide

Trigonometry · Chapter 9

Some Applications of Trigonometry

Live
Open guide

Geometry · Chapter 10

Circles

Live
Open guide

Mensuration · Chapter 11

Areas Related to Circles

Live
Open guide

Mensuration · Chapter 12

Surface Areas and Volumes

Live
Open guide

Statistics · Chapter 13

Statistics

Live
Open guide

Statistics · Chapter 14

Probability

Live
Open guide

Question Bank

  • One-mark definitions and direct NCERT facts
  • Two-mark short answers and difference-between questions
  • NCERT exercise and in-text questions
  • Unit-wise important questions for quick revision
  • Five-mark explanations, problems, or structured answers

Model Papers

  • After each chapter, solve a short unit test.
  • After every unit, revise mistakes before the next chapter.
  • In the final month, write one full model paper per week.
  • Last cycle: only weak topics, formulas, diagrams, and key terms.

Revision Plan

  • Week 1: Read NCERT and mark definitions, formulas, diagrams, and dates.
  • Week 2: Solve all NCERT exercises and in-text questions.
  • Week 3: Practise important questions, diagrams, and writing formats.
  • Week 4: Write model papers and revise only the mistake notebook.

Published Chapter Guides

chapter-guide

CBSE Class 10 Maths Chapter 9 Notes — Some Applications of Trigonometry

Complete CBSE Class 10 Maths Chapter 9 notes on Applications of Trigonometry. Covers angle of elevation, angle of depression, height and distance problems with fully solved examples.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 11 Notes — Areas Related to Circles

Complete CBSE Class 10 Maths Chapter 11 notes on Areas Related to Circles. Covers arc length, area of sector, area of segment, and combination figures with solved problems.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 5 Notes — Arithmetic Progressions

Complete CBSE Class 10 Maths Chapter 5 notes on Arithmetic Progressions. Covers AP definition, nth term formula, sum of n terms, and word problems with solved examples.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 10 Notes — Circles

Complete CBSE Class 10 Maths Chapter 10 notes on Circles. Covers tangents, number of tangents from external point, tangent-radius theorem, and proof-based questions.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 7 Notes — Coordinate Geometry

Complete CBSE Class 10 Maths Chapter 7 notes on Coordinate Geometry. Covers distance formula, section formula, midpoint formula, area of triangle, and collinearity with solved examples.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 8 Notes — Introduction to Trigonometry

Complete CBSE Class 10 Maths Chapter 8 notes on Trigonometry. Covers trigonometric ratios, standard angles table, identities, and complementary angle relationships with solved problems.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 3 Notes — Pair of Linear Equations in Two Variables

Complete CBSE Class 10 Maths Chapter 3 notes. Covers graphical method, substitution, elimination, cross-multiplication methods, consistency conditions, and word problems.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 2 Notes — Polynomials

Complete CBSE Class 10 Maths Chapter 2 notes on Polynomials. Covers degree, zeroes, relationship between zeroes and coefficients, and division algorithm with solved examples.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 14 Notes — Probability

Complete CBSE Class 10 Maths Chapter 14 notes on Probability. Covers theoretical probability, sample space, events, complementary events, and solved problems with cards, dice, and coins.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 4 Notes: Quadratic Equations

Complete local notes for CBSE Class 10 Maths Quadratic Equations: standard form, factorisation method, completing square, quadratic formula, discriminant, word problems, examples, practice questions, and exam tips.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 1 Notes: Real Numbers

Complete local notes for CBSE Class 10 Maths Real Numbers: Euclid division lemma, HCF, Fundamental Theorem of Arithmetic, irrationality proofs, decimal expansions, examples, practice questions, and board exam tips.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 13 Notes — Statistics

Complete CBSE Class 10 Maths Chapter 13 notes on Statistics. Covers mean by direct, assumed mean and step deviation methods, mode, median, ogive, and all formulae with solved examples.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 12 Notes — Surface Areas and Volumes

Complete CBSE Class 10 Maths Chapter 12 notes on Surface Areas and Volumes. Covers all formulae for cone, sphere, cylinder, frustum, and combination of solids with solved problems.

23 May 2026

chapter-guide

CBSE Class 10 Maths Chapter 6 Notes — Triangles

Complete CBSE Class 10 Maths Chapter 6 notes on Triangles. Covers similarity criteria (AA, SSS, SAS), Basic Proportionality Theorem, Pythagoras Theorem, and proof-based questions.

23 May 2026

Guide

Class 10 Maths Chapter 1 Notes — Real Numbers (CBSE)

Complete CBSE Class 10 Maths Chapter 1 notes on real numbers, Euclid's division lemma, HCF, LCM, and irrational numbers with solved examples.

17 November 2024

Exercise Solutions

Chapter-wise textbook answers with a quick path back to notes.

View all solutions →

Real Numbers

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 1 Real Numbers — every question of Exercise 1.1 and 1.2 solved step by step: prime factorisation, HCF and LCM, and irrationality proofs.

9 June 2026

Ch 2

Polynomials

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 2 Polynomials — every question of Exercise 2.1 and 2.2 solved: number of zeroes from graphs, zeroes of quadratics, and relationship between zeroes and coefficients.

9 June 2026

Ch 3

Pair of Linear Equations in Two Variables (Exercise Solutions)

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables — consistency by ratios, substitution method, elimination method, and word problems solved step by step.

9 June 2026

Quadratic Equations

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 4 Quadratic Equations — solving by factorisation, quadratic formula, nature of roots (discriminant), and word problems solved step by step.

9 June 2026

Ch 5

Arithmetic Progressions

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 5 Arithmetic Progressions — nth term formula, finding which term, number of terms, and sum of n terms solved step by step.

9 June 2026

Ch 6

Triangles

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 6 Triangles — Basic Proportionality Theorem (Thales), similarity criteria (AA, SSS, SAS), area ratio of similar triangles, and Pythagoras theorem, solved step by step.

9 June 2026

Ch 7

Coordinate Geometry

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 7 Coordinate Geometry — distance formula, section formula, midpoint, and collinearity problems solved step by step.

9 June 2026

Ch 8

Introduction to Trigonometry

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry — trigonometric ratios, standard angle values, and trigonometric identities solved step by step.

9 June 2026

Ch 9

Some Applications of Trigonometry

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 9 Some Applications of Trigonometry — heights and distances problems using angle of elevation and depression, solved step by step.

9 June 2026

Ch 10

Circles

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 10 Circles — tangent to a circle, tangent perpendicular to radius, equal tangents from an external point, with solved problems.

9 June 2026

Ch 11

Areas Related to Circles

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 11 Areas Related to Circles — area and circumference, area of sector and segment, and length of arc, solved step by step.

9 June 2026

Ch 12

Surface Areas and Volumes

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 12 Surface Areas and Volumes — cuboid, cylinder, cone, sphere, hemisphere, and combinations of solids, solved step by step.

9 June 2026

Ch 13

Statistics

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 13 Statistics — mean of grouped data (direct, assumed mean, step deviation), mode, and median, solved step by step.

9 June 2026

Ch 14

Probability

Complete NCERT Solutions for CBSE Class 10 Maths Chapter 14 Probability — theoretical probability of coins, dice, cards, and bags of balls, solved step by step.

9 June 2026