TN State Board · Class 10
Mathematics Complete Guide
Syllabus, official resources, chapter guides, textbook solutions, question bank, model papers, revision plan, exam tips, and FAQs.
Chapters
8
Published Guides
29
Chapter Guides
8/8
Practice Resources
13
📝 Textbook Exercise Solutions — Chapter-wise
MCQ, short answers, long answers, and numericals with full worked solutions
Syllabus and Official Resources
Official-first5 syllabus focus areas with Tamil Nadu textbook resources as the primary source.
View sectionTextbook Exercise Solutions
LiveExercise workflow pages are live for answer-writing and correction practice.
View sectionImportant Questions
Ready5 question patterns are listed for one-mark, short-answer, and long-answer practice.
View sectionRevision Plan
LiveA Class 10 Mathematics revision plan is available for weekly study cycles.
View sectionExam Tips
Subject-specificExam guidance focuses on mathematics presentation, keywords, time use, and common mistakes.
View sectionFAQs
In guidesFAQs are included inside individual guides so answers stay close to the exact chapter or resource.
View sectionSyllabus Roadmap
- Relations and Functions: ordered pairs, cartesian products, relations, functions, and graphs.
- Numbers and Sequences: Euclid division lemma, HCF, LCM, sequences, arithmetic progression, and series.
- Algebra: polynomials, identities, linear equations, quadratic equations, matrices, and algebraic applications.
- Geometry and Coordinate Geometry: theorems, proofs, constructions, distance, section, slope, and area.
- Trigonometry, Mensuration, Statistics, and Probability: ratios, heights and distances, surface area, volume, data, and chance.
Official Books
Use official Tamil Nadu textbook resources first, then study with KalviGavani chapter guides.
Open TN Textbook SourceChapter Dashboard
8/8 chapter guides published
Algebra · Chapter 1
Relations and Functions
Arithmetic · Chapter 2
Numbers and Sequences
Algebra · Chapter 3
Algebra
Geometry · Chapter 4
Geometry
Geometry · Chapter 5
Coordinate Geometry
Trigonometry · Chapter 6
Trigonometry
Measurement · Chapter 7
Mensuration
Data Handling · Chapter 8
Statistics and Probability
Question Bank
- Formula recall and direct substitution sums
- Textbook exercise problems with full working steps
- Theorem, proof, construction, and diagram-based questions
- Graph, coordinate geometry, trigonometry, and mensuration application sums
- Statistics and probability questions with tables and final interpretation
Model Papers
- After every two chapters, write a 40-mark unit test.
- Practise geometry, graph, and construction questions separately before full papers.
- In the final month, write one full Maths model paper every week under time limits.
- Use the last week only for formula sheets, theorem steps, and previously wrong sums.
Revision Plan
- Week 1: Finish textbook examples and basic exercises for all chapters.
- Week 2: Rework starred sums, theorem questions, graphs, and constructions.
- Week 3: Practise mixed important sums and chapter-wise unit tests.
- Week 4: Write model papers and revise only the mistake notebook and formula sheet.
Published Chapter Guides
chapter-guide
Tamil Nadu Class 10 Maths Chapter 3 - Algebra
Samacheer Kalvi Class 10 Maths Algebra full guide - GCD/LCM of polynomials, identities, factorisation, quadratic equations (factorisation, formula, discriminant), and matrices with worked examples.
6 June 2026
chapter-guide
Tamil Nadu Class 10 Maths Chapter 5 - Coordinate Geometry
Samacheer Kalvi Class 10 Maths Coordinate Geometry full guide - distance, section & midpoint formulae, slope, area of triangle, collinearity, and straight-line equations with worked examples.
6 June 2026
chapter-guide
Tamil Nadu Class 10 Maths Chapter 4 - Geometry
Samacheer Kalvi Class 10 Maths Geometry full guide - similar triangles, Basic Proportionality (Thales) theorem, Pythagoras, circles and tangents, with worked examples and proof tips.
6 June 2026
chapter-guide
Tamil Nadu Class 10 Maths Chapter 7 - Mensuration
Samacheer Kalvi Class 10 Maths Mensuration full guide - surface area and volume of cylinder, cone, sphere, hemisphere and frustum, combined solids, with worked examples.
6 June 2026
chapter-guide
Tamil Nadu Class 10 Maths Chapter 2 - Numbers and Sequences
Samacheer Kalvi Class 10 Maths Numbers and Sequences full guide - Euclid division lemma, HCF/LCM, arithmetic progression, geometric progression, nth term and sum formulae with worked examples.
6 June 2026
chapter-guide
Tamil Nadu Class 10 Maths Chapter 1 - Relations and Functions
Samacheer Kalvi Class 10 Maths Relations and Functions full guide - Cartesian product, relations, domain & range, types of functions, function notation, with worked examples.
6 June 2026
chapter-guide
Tamil Nadu Class 10 Maths Chapter 8 - Statistics and Probability
Samacheer Kalvi Class 10 Maths Statistics and Probability full guide - range, standard deviation, variance, coefficient of variation, and probability with worked examples.
6 June 2026
chapter-guide
Tamil Nadu Class 10 Maths Chapter 6 - Trigonometry
Samacheer Kalvi Class 10 Maths Trigonometry full guide - ratios, standard-angle values, identities, proofs, and heights & distances with worked examples.
6 June 2026
Exercise Solutions
Chapter-wise textbook answers with a quick path back to notes.
Relations and Functions
TN Class 10 Maths Relations and Functions exercise solutions — cartesian product, domain, range, function test, one-one, onto, bijective, composition, full step-by-step answers.
15 June 2026
Numbers and Sequences
TN Class 10 Maths Numbers and Sequences exercise solutions — Euclid division, HCF, LCM, modular arithmetic, AP nth term, AP sum, GP, special series, full step-by-step answers.
15 June 2026
Algebra
TN Class 10 Maths Algebra exercise solutions — simultaneous equations, GCD/LCM of polynomials, rational expressions, quadratic equations, matrices. Full step-by-step answers.
15 June 2026
Geometry
TN Class 10 Maths Geometry exercise solutions — similar triangles, Thales theorem, Pythagoras, circles, tangents, constructions. Full step-by-step answers.
15 June 2026
Coordinate Geometry
Samacheer Kalvi Class 10 Maths Coordinate Geometry exercise solutions guide with distance, midpoint, slope, area of triangle, equation of a line, and common calculation mistakes.
15 June 2026
Trigonometry
Samacheer Kalvi Class 10 Maths Trigonometry exercise solutions guide with ratios, identities, heights and distances, right triangle setup, important sums, and common mistakes.
15 June 2026
Mensuration
Samacheer Kalvi Class 10 Maths Mensuration exercise solutions with surface area and volume of cylinders, cones, spheres, hemispheres, frustum, combined solids, conversion of solids, and step-by-step worked answers.
15 June 2026
Statistics and Probability
Samacheer Kalvi Class 10 Maths Statistics and Probability exercise solutions with measures of dispersion, coefficient of variation, probability, addition theorem, mutually exclusive events, and step-by-step worked answers.
15 June 2026
Practice Resources
subject-guide
Tamil Nadu Class 10 Maths Complete Guide — Samacheer Kalvi
Complete Tamil Nadu Class 10 Maths guide with chapter roadmap, textbook exercise strategy, important sums, model paper practice, and revision plan.
9 May 2026
revision-plan
Tamil Nadu Class 10 Maths 30-Day Revision Plan
Samacheer Kalvi Class 10 Maths 30-day revision plan with chapter-wise practice for relations, sequences, algebra, geometry, coordinate geometry, trigonometry, mensuration, statistics, probability, and model papers.
9 May 2026
formula-sheet
Tamil Nadu Class 10 Maths Formula Sheet
Samacheer Kalvi Class 10 Maths formula sheet for relations, sequences, algebra, coordinate geometry, trigonometry, mensuration, statistics, probability, and exam revision.
9 May 2026
model-paper
Tamil Nadu Class 10 Maths Model Paper 1
Samacheer Kalvi Class 10 Maths model paper with important sums from relations, sequences, algebra, geometry, coordinate geometry, trigonometry, mensuration, statistics, and probability.
9 May 2026
model-paper
Tamil Nadu Class 10 Maths Model Paper 2
Samacheer Kalvi Class 10 Maths model paper 2 with chapter-balanced practice, formula recall, theorem questions, coordinate geometry, trigonometry, mensuration, statistics, and correction plan.
9 May 2026
drill-practice
Tamil Nadu Class 10 Maths One-Mark Drill
Samacheer Kalvi Class 10 Maths one-mark drill for formula recall, definitions, direct substitutions, graph facts, theorem statements, and fast exam revision.
9 May 2026
question-bank
Tamil Nadu Class 10 Maths Question Bank
Samacheer Kalvi Class 10 Maths question bank with formula recall, important sums, theorem questions, coordinate geometry, trigonometry, mensuration, statistics, probability, and model-paper practice.
9 May 2026
textbook-solutions
Tamil Nadu Class 10 Maths Textbook Solutions Map
Samacheer Kalvi Class 10 Maths textbook solutions map with chapter-wise exercise workflow, formula use, theorem writing, construction practice, graph practice, and mistake tracking.
9 May 2026
theorem-bank
Tamil Nadu Class 10 Maths Theorem and Construction Bank
Samacheer Kalvi Class 10 Maths theorem and construction practice bank with geometry proof format, diagram discipline, construction steps, common mistakes, and revision checklist.
9 May 2026
unit-test
Tamil Nadu Class 10 Maths Unit Test 1 - Algebra and Sequences
Samacheer Kalvi Class 10 Maths unit test 1 for Relations and Functions, Numbers and Sequences, and Algebra with formula recall, two-mark sums, five-mark sums, and correction checklist.
9 May 2026
unit-test
Tamil Nadu Class 10 Maths Unit Test 2 - Geometry and Coordinate Geometry
Samacheer Kalvi Class 10 Maths unit test 2 for Geometry and Coordinate Geometry with theorem proof, construction, distance, midpoint, slope, area, and graph practice.
9 May 2026
unit-test
Tamil Nadu Class 10 Maths Unit Test 3 - Trigonometry and Mensuration
Samacheer Kalvi Class 10 Maths unit test 3 for Trigonometry and Mensuration with ratios, identities, heights and distances, surface area, volume, combined solids, and correction checklist.
9 May 2026
unit-test
Tamil Nadu Class 10 Maths Unit Test 4 - Statistics, Probability and Full Revision
Samacheer Kalvi Class 10 Maths unit test 4 for Statistics, Probability, and full revision with mean, frequency tables, probability, mixed sums, and correction checklist.
9 May 2026
