A KVS LDE LDCE PGT Maths mock test from Toppersexam.com is a practice paper based on the latest exam pattern and syllabus, designed to help you assess your preparation level.
KVS LDE LDCE PGT Maths Free Mock Test
Crack the KVS LDE LDCE PGT Maths Mock Test 2026 with the help of an online Test series or a free mock test. Every sample paper in the KVS LDE LDCE PGT Maths Exam has a designated weight, so do not miss out on any paper. Prepare for the KVS LDE LDCE PGT Maths mock test and check your test scores.
KVS LDE/LDCE PGT (Maths) Syllabus 2026, Exam Pattern
KVS LDE/LDCE PGT (Maths) Syllabus 2026, Exam Pattern, Exam Date 2026
Detail Information about KVS LDE/LDCE has published notification 2026 for the recruitment of PGT (Maths) vacancies. Those Candidates who are Interested to the following vacancy and completed all Eligibility Criteria can read the Notification & Apply Online. In this page we provide the Complete Syllabus of this Recruitment with Latest Update Exam Pattern and the Exam Date also.
KVS LDE/LDCE Syllabus 2025-26 - Overview
| Organization Name | Kendriya Vidyalaya Sangathan (KVS) |
| Exam Name | Limited Departmental Examination (LDE) and Limited Departmental Competitive Examination (LDCE) |
| Name of the Post | PGT (Mathematics) |
| No. of Posts | Notified Soon |
| Exam Date 2026 | Notified Soon |
| Apply Mode | Online |
| Category | Syllabus and Exam Pattern |
| Official Website | www.kvsangathan.nic.in |
KVS LDE/LDCE PGT (Maths) Syllabus 2026
Subject Knowledge Test (Maths) :
Sets: Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets. Subsets ofa set of real numbers especially intervals (with notations). Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.
Relations & Functions: Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.
Trigonometric Functions : Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Identities related to sin2x, cos2x, tan2x, sin3x, cos3x and tan3x.
Complex Numbers and Quadratic Equations : Need for complex numbers, especially√−1, to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers. Argand plane
Linear Inequalities : Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.
Permutations and Combinations : Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications.
Binomial Theorem : Historical perspective, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications.
Sequence and Series : Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.
Straight Lines : Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point -slope form, slope-intercept form. Distance of a point from a line.
Conic Sections : Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.
Introduction to Three-dimensional Geometry : Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points.
Limits and Derivatives : Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
Statistics : Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.
Probability : Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.
Relations and Functions : Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.
Inverse Trigonometric Functions : Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.
Matrices : Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. On commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
Determinants : Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
Continuity and Differentiability : Continuity and differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.
Applications of Derivatives : Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
Integrals : Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them. Fundamental Theorem of Calculus. Basic Properties of definite integrals and evaluation of definite integrals.
Applications of the Integrals : Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)
Differential Equations : Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type: dy /dx + py = q, where p and q are functions of x or constants. d𝑥/ d𝑦 + px = q, where p and q are functions of y or constants.
Vectors : Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.
Three - dimensional Geometry : Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.
Linear Programming : Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
Probability : Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.
Sets: Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets. Subsets ofa set of real numbers especially intervals (with notations). Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.
Relations & Functions: Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.
Trigonometric Functions : Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Identities related to sin2x, cos2x, tan2x, sin3x, cos3x and tan3x.
Complex Numbers and Quadratic Equations : Need for complex numbers, especially√−1, to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers. Argand plane
Linear Inequalities : Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.
Permutations and Combinations : Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications.
Binomial Theorem : Historical perspective, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications.
Sequence and Series : Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.
Straight Lines : Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point -slope form, slope-intercept form. Distance of a point from a line.
Conic Sections : Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.
Introduction to Three-dimensional Geometry : Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points.
Limits and Derivatives : Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
Statistics : Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.
Probability : Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.
Relations and Functions : Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.
Inverse Trigonometric Functions : Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.
Matrices : Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. On commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
Determinants : Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
Continuity and Differentiability : Continuity and differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.
Applications of Derivatives : Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
Integrals : Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them. Fundamental Theorem of Calculus. Basic Properties of definite integrals and evaluation of definite integrals.
Applications of the Integrals : Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)
Differential Equations : Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type: dy /dx + py = q, where p and q are functions of x or constants. d𝑥/ d𝑦 + px = q, where p and q are functions of y or constants.
Vectors : Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.
Three - dimensional Geometry : Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.
Linear Programming : Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
Probability : Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.
KVS LDE/LDCE PGT (Maths) Exam Pattern 2026
Tier -I
Duration : 2 Hours and 30 Minutes
|
S.No.
|
Subject | No.of Question | Marks |
| 1. | Subject Knowledge Test (Objective) | 60 | 60 |
| 2. | Subject Knowledge Test (Descriptive) | 10 | 40 |
| Total | 70 | 100 |
Exam Date 2026 : Notified Soon
Starting Date of Application Form : Notified Soon
Last Date of Application Form : Notified Soon
KVS LDE/LDCE PGT (Maths) Exam Free Online Test Series
Crack KVS LDE/LDCE PGT (Maths) Mock Test 2026 with the help of Online Test Series or Free Mock Test. Every Question Paper in KVS LDE LDCE Exam has a designated weightage so do not miss out any Paper. Practice for Kendriya Vidyalaya Sangathan (KVS) Mock Test and check your test scores.
KVS LDE LDCE PGT Maths Exam Free Online Question Bank
KVS LDE LDCE PGT Maths question answer with solutions are available in Hindi & English. Join MCQ, Important Questions, Question Bank, questions and answers for Free KVS LDE LDCE PGT Maths exam preparation.
Combo Offers
KVS LDE LDCE PGT Maths Combo Packages
We Launches Combo Offers ! with Heavy Discount and Cost Saving Prices. Combo Packages includes - Online Mock Test Series + Important Questions or MCQs + Previous Year Papers with Answer.
Combo Package
KVS LDE LDCE PGT Maths
Combo - 1 (Hindi)
1. Online Mock Test Series in Hindi = 10 Tests.
2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹201₹231
Combo Package
KVS LDE LDCE PGT Maths
Combo - 2 (Hindi)
1. Online Mock Test Series in Hindi = 20 Tests.
2. Question Bank - 1730 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 1730 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹231₹261
Combo Package
KVS LDE LDCE PGT Maths
Combo - 3 (English)
1. Online Mock Test Series in English = 10 Tests.
2. Question Bank - 1030 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 1030 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
₹201₹231
Combo Package
KVS LDE LDCE PGT Maths
Combo - 4 (English)
1. Online Mock Test Series in English = 15 Tests.
2. Question Bank - 1030 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 1030 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
₹211₹241
Combo Package
KVS LDE LDCE PGT Maths
Combo - 5 (Hindi)
1. Online Mock Test Series in Hindi = 20 Tests.
2. Question Bank - 1730 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
5. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 1730 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
5. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹701₹771
Combo Package
KVS LDE LDCE PGT Maths
Combo - 6 (English)
1. Online Mock Test Series in English = 15 Tests.
2. Question Bank - 1030 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 1030 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
₹631₹701
Combo Package
KVS LDE LDCE PGT Maths
Combo - 7 (Hindi)
1. Online Mock Test Series in Hindi = 20 Tests.
2. Question Bank - 1730 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of KVS LDE LDCE PGT Maths (1000 MCQ) PDF Format in Hindi.
5. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
6. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 1730 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of KVS LDE LDCE PGT Maths (1000 MCQ) PDF Format in Hindi.
5. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
6. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹801₹961
Combo Package
KVS LDE LDCE PGT Maths
Combo - 8 (English)
1. Online Mock Test Series in English = 15 Tests.
2. Question Bank - 1030 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of KVS LDE LDCE PGT Maths (1000 MCQ) PDF Format in English.
5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
6. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 1030 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of KVS LDE LDCE PGT Maths (1000 MCQ) PDF Format in English.
5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
6. 1000 (+) GK MCQ with Answer PDF Book in English.
₹731₹891
FAQs
Kvs Lde/ldce PGT (maths) 2026 Free Mock Test Frequently Asked Questions (FAQ's)
You can find and practice free mock tests for the KVS LDE LDCE PGT Maths exam on the Toppersexam.com portal.
Mock tests are very powerful tool for exam preparation. They help students develop confidence, manage time effectively and improves accuracy to prepare better for KVS LDE LDCE PGT Maths.
You can find a free online mock test for the KVS LDE LDCE PGT Maths on toppersexam.com. By taking frequent online mock tests students can monitor there progress and create a study plan according to the needs.
You can take mock test online for KVS LDE LDCE PGT Maths to know the CBT (computer based test) format of the main exam. You will get latest exam pattern, updated syllabus and type of questions asked in the actual exam.
Mock tests are practice exams to prepare the students for the final one. Taking mock test regularly helps students to improve time management skills and boost confidence.
Students can find a free mock test for KVS LDE LDCE PGT Maths only at toppersexam. Get free online mock test to experience the actual exam format is important to reduce anxiety and improves your confidence.
Advantages of online mock tests are immediate results, accessibility and time management. Sample papers and mock tests are remarkable tools to track students performance and change your study plan according to your weakness.
Free online mock test can improve your score by making you exam ready before the final exam. It is a excellent way to know the exam pattern and identify your weakness for the KVS LDE LDCE PGT Maths.
Toppersexam free online mock test are designed by subject experts to provide the best preparation for KVS LDE LDCE PGT Maths. The questions asked are exactly like the ones which are asked in the actual exam.
Students should practice more and more online mock test for KVS LDE LDCE PGT Maths to evaluate their performance, detect weaknesses, and improve time management without any cost.
Current affairs and general knowledge mock test are important ways to increase knowledge to stay updated about the recent news and events. Regular practicing with current affairs mock test helps students to prepare better for general awareness section for the final exam.
User Reviews