KVS TGT Math Syllabus: The Kendriya Vidyalaya Sanghthan (KVS) Recruitment for Trained Graduate Teachers (TGT) has been published for 9156 Vacancies for PGT, TGT and PRT. In this post the latest exam pattern and detailed syllabus for KVS TGT Maths are provided.

KVS TGT Maths Exam Pattern 2025
The KVS TGT Math Syllabus is given below-
- Duration: 180 minutes (3 hours)
- Marking: Usually no negative marking
- Language: Bilingual (Hindi & English)
| Part | Subject / Section | Questions | Marks |
|---|---|---|---|
| Part I | General English + General Hindi | 20 | 20 |
| Part II | GK, Current Affairs, Reasoning, Computer | 20 | 20 |
| Part III | Perspectives on Education & Leadership | 40 | 40 |
| Part IV | Mathematics (Subject Concerned) | 100 | 100 |
| Total | – | 180 Questions | 180 Marks |
📚 KVS TGT Maths Syllabus 2025
| Unit / Topic | Sub-Topics / Contents |
|---|---|
| Real Numbers | Types of numbers, number line, decimals, irrational numbers, nth roots, laws of exponents |
| Polynomials | Terms, coefficients, degree, monomial/binomial, zeros, Remainder & Factor theorem, relation of zeros & coefficients |
| Linear Equations | Formulation, graphs, substitution, elimination methods |
| Quadratic Equations | Standard form, factorisation, completing square, quadratic formula, roots & coefficients |
| Arithmetic Progressions | nth term, sum of n terms, basic applications |
| Coordinate Geometry | Cartesian plane, distance formula, section formula, area of triangle |
| Geometry | Euclid’s geometry, lines & angles, triangles, congruence, similarity, quadrilaterals, circles |
| Mensuration | Area of 2D shapes; surface area & volume of cube, cuboid, cone, cylinder, sphere |
| Trigonometry | Ratios, identities, heights & distances |
| Statistics & Probability | Mean, median, mode, basic probability |
| Additional Topics (Some Papers) | Matrices, vectors, limits, derivatives, basic integration |
🟦 Part I KVS TGT Maths – General English & General Hindi
A. General English
| Topic | Sub-Topics |
|---|---|
| Comprehension | Passages & related questions |
| Vocabulary | Synonyms, antonyms, word usage |
| Grammar | Tenses, articles, prepositions |
| Error Spotting | Sentence correction |
| Fill in the Blanks | Contextual usage |
| Para-Jumbles | Rearrangement |
| Idioms & Phrases | Common expressions |
| Voice & Speech | Active/passive, direct/indirect |
| Cloze Test | Grammar + comprehension mix |
B. General Hindi
| विषय | उप-विषय |
|---|---|
| गद्यांश | पाठ आधारित प्रश्न |
| शब्द ज्ञान | पर्यायवाची, विलोम |
| व्याकरण | समास, संधि, तत्सम–तद्भव |
| त्रुटि सुधार | वाक्य शुद्धि |
| रिक्त स्थान | उपयुक्त शब्द भरना |
| मुहावरे | लोकोक्तियाँ |
| वाक्य रचना | वाक्य संयोजन |
🟧 Part II – General Awareness, Reasoning & Computer Literacy
A. General Awareness & Current Affairs
| Area | Topics |
|---|---|
| History | Ancient, Medieval, Modern India |
| Geography | India & World Geography |
| Polity | Constitution, governance |
| Economy | Budget, economic terms |
| Science | Basic physics, chemistry, biology |
| Current Affairs | National & international news |
| Awards & Sports | Important events & winners |
| Schemes | Govt schemes & policies |
| Environment | Conservation, climate |
B. Reasoning Ability
| Topic | Sub-Topics |
|---|---|
| Analogy | Letter, number, figure |
| Series | Number & alphabet |
| Coding-Decoding | Basic & logical patterns |
| Blood Relation | Family-based logic |
| Direction | Simple & moderate level |
| Classification | Odd one out |
| Syllogism | Statement-based |
| Non-Verbal Reasoning | Patterns, shapes |
| Puzzle | Easy–moderate |
Also Check: 1. KVS PGT Commerce Syllabus 2025
C. Computer Literacy
| Topic | Sub-Topics |
|---|---|
| Computer Basics | Hardware, software |
| MS Office | Word, Excel, PPT |
| Internet | Email, browsers |
| Operating System | Windows basics |
| Security | Virus, firewall |
| Networking | LAN, WAN, protocols |
| Storage | Pen drive, HDD, SSD |
🟦 Part III – Perspectives on Education & Leadership
| Unit | Sub-Topics |
|---|---|
| Understanding the Learner | Growth & development, learning styles, motivation, inclusive education, special needs learners |
| Teaching & Learning Process | Theories (Piaget, Vygotsky, Skinner), constructivism, pedagogy, lesson planning, assessment |
| Learning Environment | Classroom management, behaviour handling, group learning |
| School Organization & Leadership | Roles of teachers, leadership styles, team building |
| Perspectives in Education | Aims of education, NEP 2020, RTE Act, gender & equity concerns, constitutional values |

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