KVS TGT Maths Syllabus 2025, Check Important Topics

The KVS Exam is conducted every year to recruit thousands of candidates for non-teaching and Teaching Jobs. This year, Kendriya Vidyalaya Sangathan (KVS) has announced approximately 9156 vacancies for TGT, PGT, PRT, Principal, and Vice Principal posts. Out of these, 599 is notified for TGT Mathematics, and candidates who will be applying for the TGT Maths Teacher post must go through the  KVS TGT Maths Syllabus 2025 to prepare effectively for the exam. The Syllabus is the Basic and most important part of the preparation for candidates who will be appearing for the exam for the Maths Teacher post.

KVS PRT Exam Pattern 2025

The duration of the exam is 3 hours (180 minutes) and the exam is divided into 4 parts. 

KVS Recruitment 2025 Vacancy Out- 9156 Vacancies [Click to Check]

KVS TGT Maths Syllabus 2025

The candidates who will be applying for the KVS TGT Mathematics exam firstly should know the  KVS TGT Maths Syllabus 2025 to start their preparations for the exam. Candidates appearing for the TGT Maths Exam should be aware of the topics included in the mathematics syllabus. The chapters are based on the NCERT Books of classes 6 to 10, but candidates must be familiar with the topics of graduation level as well. Candidates can go through the list provided below to get an overview of the topics they should target in their TGT Maths Exam Preparation;

Real Numbers

• Review of representation of natural numbers, integers, and rational numbers on the number line.
• Rational numbers as recurring/ terminating decimals.
• Operations on real numbers.
• Examples of non-recurring/non-terminating decimals.
• Existence of non-rational numbers (irrational numbers) such as J2, i3 , and their representation on the number line.
• Definition of nth root of a real number.
• Laws of exponents with integral powers. Rational exponents with positive real bases

Polynomials

• Definition of a polynomial in one variable, with examples and counter examples.
• Coefficients of a polynomial, terms of a polynomial, and zero polynomial.
• Degree of a polynomial.
• Constant, linear, quadratic, and cubic polynomials.
• Monomials, binomials, trinomials.
• Factors and multiples.
• Zeros of a polynomial.
• Relationship between zeros and coefficients of quadratic polynomials.
• Remainder Theorem with examples, Factor Theorem.

Linear Equations in Two Variables 

• Linear equations in one variable.
• Introduction to the equation in two variables.
• Focus on linear equations of the type ax + by + c=0.
• Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

Pair of Linear Equations in two variables

• Pair of linear equations in two variables and graphical method of their solution consistency/inconsistency.
• Algebraic conditions for a number of solutions.
• Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination.Simple situational problems.

Quadratic Equations

• Standard form of a quadratic equation ax2 + bx + c = 0, (a 0 0).
• Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula.
• Relationship between discriminant and nature of roots.

Arithmetic Progressions

• Arithmetic Progression, nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

Coordinate Geometry

• The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.
• Graphs of linear equations.
• Distance formula.
• Section formula (internal division)

Introduction to Euclid’s Geometry

• History – Geometry in India and Euclid’s geometry.
• Euclid’s method of formalizing observed phenomena into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems.
• The five postulates of Euclid.

Quadrilaterals

• The diagonal divides a parallelogram into two congruent triangles.
• In a parallelogram opposite sides are equal, and conversely.
• In a parallelogram opposite angles are equal, and conversely.
• A quadrilateral is a parallelogram if a pair of opposite sides is parallel and equal.

Circles

• Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
• The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
• Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.