Has the KVS PGT Mathematics Syllabus 2025 been officially released?

Yes, the KVS PGT Mathematics Syllabus 2025 has been officially released by Kendriya Vidyalaya Sangathan (KVS) on its official website. Candidates can download the complete syllabus PDF for detailed subject-wise topics and exam preparation.

What are the main components of the KVS PGT Maths Syllabus 2025?

The KVS PGT Maths Syllabus 2025 includes four main sections: Subject-Specific Knowledge (Mathematics), General English, General Hindi, and Teaching Aptitude, which also includes General Awareness, Reasoning, and Perspectives on Education and Leadership.

What topics are covered in the Mathematics section of the KVS PGT syllabus?

The Mathematics section covers advanced topics such as Algebra, Calculus, Trigonometry, Geometry, Probability, Statistics, Vectors, 3D Geometry, Matrices, Determinants, and Linear Programming, aligned with the NCERT/CBSE Class 11 and 12 curriculum.

What is the exam pattern for the KVS PGT Maths Exam 2025?

The KVS PGT Maths Exam 2025 consists of 180 objective-type questions for a total of 180 marks. The exam duration is 3 hours and is divided into two papers—Paper I and Paper II. It is conducted in a bilingual format (English and Hindi).

How are marks distributed in the KVS PGT Mathematics exam?

Marks are distributed as follows: General English: 10 marks General Hindi: 10 marks General Awareness & Current Affairs: 10 marks Reasoning: 5 marks Computer Literacy: 5 marks Perspectives on Education and Leadership: 40 marks Subject Concerned (Mathematics): 100 marks

KVS PGT Mathematics Syllabus 2025 and Exam Pattern, Download PDF Here

Table of Contents

KVS PGT Mathematics Syllabus 2025 has been officially released on the Kendriya Vidyalaya Sangathan (KVS) website. It aims to assess the essential competencies required to teach Mathematics at the senior secondary level in Kendriya Vidyalayas. A clear understanding of the KVS PGT Mathematics syllabus will enable candidates to streamline their preparation, concentrate on important topics, and enhance their chances of qualifying the exam successfully.

KVS PGT Mathematics Syllabus 2025

The Mathematics section focuses on advanced concepts from Algebra, Calculus, Geometry, Trigonometry, Probability, Statistics, and other key topics relevant to senior secondary education. In addition, the English and Hindi sections test comprehension, writing ability, grammar, and vocabulary, while the teaching aptitude section assesses pedagogical understanding, communication skills, and classroom management abilities. This comprehensive syllabus ensures candidates are well-equipped to take on the role of a Post Graduate Teacher in Mathematics at Kendriya Vidyalayas.

KVS Post Graduate Teacher Mathematics Syllabus: Overview

The KVS PGT Mathematics Syllabus 2025 outlines the important subjects and topics that candidates need to study for the recruitment examination conducted by Kendriya Vidyalaya Sangathan (KVS). The selection process comprises a national-level online written test followed by an interview to evaluate the candidate’s subject knowledge and teaching aptitude. To perform well in the exam, candidates must stay updated with official notifications and thoroughly go through the latest syllabus. A focused and strategic preparation based on the syllabus will significantly improve their chances of success in securing the PGT Maths position.

KVS PGT Maths Syllabus 2025
Organization Name	Kendriya Vidyalaya School (KVS Recruitment 2025)
Conducting Body	Kendriya Vidyalaya Sangathan
Post Name	PGT Mathematics
KVS Job Profile	National
Mode of Application	Online
Mode of Examination	Online
KVS Selection Process	Written Test & Interview

KVS PGT Mathematics Exam Pattern 2025

KVS PGT Syllabus 2025 and Revised Exam Pattern will help candidates in better exam preparation. There will be two tier examination followed by Interview for the post of KVS PGT . The merit list will be prepared by giving weightage of 85% and 15% to the marks obtained by candidates in Tier-2 and Interview respectively. The interview will be of 100 marks.

KVS PGT Mathematics Tier-1 Exam Pattern 2025

Tier -1 is a qualifying, OMR-based objective test conducted for all applicants. The exam carries 100 questions, each worth 3 marks, making the total 300 marks.

KVS Mathematics Tier-1 Exam Pattern
Test Components	No. of Questions	Total Marks	Duration
Part I- General Reasoning	20	60	2 Hours
Part II- Numeric Ability	20	60
Part III – Basic Computer Literacy	20	60
Part V – Language Competency (English)	10	30
Part VI – Language Competency (Modern Indian Language)	10	30
Total	100	300

KVS PGT Mathematics Tier-2 Exam Pattern 2025

Tier-2 will be conducted on the basis of Subject Knowledge Examination (combination of Pen-Paper and OMR Based) as per details mentioned below. The test will be of 2½ hours duration
without any time – limit for each part of the test individually.

KVS Mathematics Tier-2 Exam Pattern
Components of Test	Type	No. of Questions	Total Marks	Duration
Subject knowledge	Objective	60	60	2.5 hours
Subject knowledge	Descriptive	10	40
Total		70	100

Detailed KVS PGT Mathematics Syllabus 2025

The KVS PGT Mathematics Syllabus 2025 is designed based on the NCERT/CBSE curriculum for Classes XI and XII, with questions aimed at evaluating in-depth understanding and application of concepts at the postgraduate level. The KVS PGT Maths exam not only tests subject knowledge but also evaluates teaching aptitude and the ability to apply mathematical concepts in real-life contexts, making it essential for candidates to thoroughly prepare each topic for success in the recruitment exam.

Detailed KVS PGT Math Syllabus 2025
Unit	Topics
Sets	Sets and their representations Empty set, Finite and Infinite sets, Equal sets Subsets and subsets of a set of real numbers, especially intervals Universal set, Venn diagrams Operations on sets: Union, Intersection, Difference, Complement Properties of Complement
Relations and Functions	Ordered pairs, Cartesian product of sets Number of elements in the Cartesian product of two finite sets Definition and pictorial representation of relations Domain, co-domain, and range of a relation Function as a special type of relation Real valued functions: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, greatest integer functions (with graphs) Operations on functions: Sum, Difference, Product, Quotient
Trigonometric Functions	Positive and negative angles, measurement in degrees and radians Unit circle definition of trigonometric functions Trigonometric identities: Graphs, domain and range of trigonometric functions Formulas
Complex Numbers and Quadratic Equations	Need for complex numbers (√−1) Algebraic properties of complex numbers Representation in Argand Plane
Linear Inequalities	Algebraic solutions of linear inequalities in one variable Representation on the number line
Permutations and Combinations	Fundamental principle of counting Factorial (n!) Formulas and applications
Binomial Theorem	Historical perspective Statement and proof for positive integers Pascal’s triangle and applications
Sequence and Series	Sequences, Arithmetic Progression (A.P.), Arithmetic Mean (A.M.) Geometric Progression (G.P.), sum and general term, infinite G.P. and sum Geometric Mean (G.M.), relation between A.M. and G.M.
Straight Lines	Slope of a line, angle between two lines Forms of equations of a line: Point-slope, Slope-intercept, General form Distance of a point from a line
Conic Sections	Sections of a cone: Circle, Parabola, Ellipse, Hyperbola Degenerated cases: point, straight line, pair of intersecting lines Standard forms only
Introduction to 3D Geometry	Coordinate axes and planes in 3D Coordinates of a point Distance between two points
Limits and Derivatives	Concept of limits, intuitive idea Limits of polynomial, rational, trigonometric, exponential, and logarithmic functions Derivatives as the rate of change and the slope of the tangent Derivatives of sum, difference, product, and quotient Derivatives of polynomial and trigonometric functions
Statistics	Measures of Dispersion: Range, Mean Deviation, Variance, Standard Deviation (grouped and ungrouped data)
Probability (Part 1)	Random experiments, outcomes, sample space Events: ‘not’, ‘and’, ‘or’, exhaustive, mutually exclusive Axiomatic approach and classical interpretation Probability of compound events
Relations and Functions (Advanced)	Types of relations: Reflexive, Symmetric, Transitive, Equivalence Functions: One-one, Onto, Bijective
Inverse Trigonometric Functions	Definitions, Domain, Range Principal value branches Graphs of inverse trigonometric functions
Matrices	Concept, notation, order, types of matrices Operations: Addition, Multiplication, Scalar multiplication Properties, transpose, symmetric & skew symmetric matrices Invertible matrices and uniqueness of inverse Non-zero matrices product being zero (only 2×2)
Determinants	Determinants up to 3×3 matrices Minors and Cofactors Applications in area of a triangle Adjoint, Inverse of a matrix Solving linear equations using matrix inverse
Continuity and Differentiability	Continuity and differentiability of functions Chain rule, composite functions Derivatives of inverse trigonometric functions Implicit differentiation Logarithmic and exponential differentiation Parametric differentiation Second-order derivatives
Applications of Derivatives	Rate of change Increasing and decreasing functions Maxima and minima: First derivative (geometric view) Second derivative test Real-life applications
Integrals	Integration as inverse of differentiation Techniques: Substitution, Partial fractions, By parts Evaluation of simple integrals Definite integrals and properties Fundamental Theorem of Calculus
Applications of Integrals	Finding area under curves: lines, circles, parabolas, ellipses (standard form only)
Differential Equations	Definition, order, degree General and particular solutions Methods: Separation of variables, Homogeneous, Linear equations
Vectors	Scalars and vectors, magnitude and direction Direction cosines and ratios Position vector, Components Types: Zero, Unit, Parallel, Collinear Operations: Addition, Scalar multiplication Dot and Cross product: Properties and applications
Three-Dimensional Geometry	Line joining two points Cartesian and vector equations of lines Skew lines, shortest distance Angle between lines
Linear Programming	Introduction and Terminology: Constraints, Objective function Graphical method for problems in two variables Bounded and unbounded regions Feasible/infeasible solutions Optimal feasible solutions
Probability (Part 2)	Conditional probability Multiplication theorem Independent events Total probability theorem Bayes’ Theorem Random variable, Probability distribution Mean of random variable

KVS PGT Math Syllabus PDF

Candidates preparing for the KVS PGT Mathematics exam can download the complete syllabus in PDF format from the link provided below. The KVS PGT Maths Syllabus PDF includes a detailed subject-wise breakdown, covering all important topics relevant to the concerned subject. This downloadable resource will help aspirants understand the exam pattern, prioritize topics, and plan their preparation effectively. It is advised to save the syllabus PDF for regular reference to ensure a focused and well-organized study strategy throughout the preparation journey.

Download KVS PGT Mathematics Syllabus 2025 PDF Link