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KVS PGT Mathematics Syllabus 2026, Exam Pattern

Complete preparation hub for Kvs PGT Mathematics 2026 recruitment examination

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📅 Updated On 26 Aug, 2026✨ Update By C.Agarwal🌐 Hindi & English

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2. Question Bank - 2000 Questions with Answer.
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Combo PackageKVS PGT Mathematics

KVS PGT Mathematics

Combo - 3 (English)

1. Online 10 Mock Test Papers + 60 Sectional Test Paper
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of KVS PGT Mathematics Exam (1000 MCQ) in PDF Format in English
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Combo PackageKVS PGT Mathematics

KVS PGT Mathematics

Combo - 4 (Hindi)

1. Online 10 Mock Test Papers + 60 Sectional Test Paper
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of KVS PGT Mathematics Exam (1000 MCQ) in PDF Format in Hindi
₹1250₹1300
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KVS PGT Mathematics Syllabus 2026, Exam Pattern

KVS PGT Mathematics Syllabus 2026, Exam Pattern, Exam Date 2026

Detail Information about KVS has published notification 2026 for the recruitment of PGT Mathematics (Post Graduate Teacher) 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 PGT Mathematics Syllabus 2026 - Overview
 
Name of the Organization Kendriya Vidyalaya Sangathan (KVS)
Conducting Board KVS Careers 2026
Name of the Posts PGT Mathematics
Total No. of Posts Notified Soon
Apply Mode Online
Job Location anywhere in India
Category Syllabus and Exam Pattern
Exam Mode Online
Official Website www.kvsangathan.nic.in
 
KVS PGT Mathematics Syllabus 2026

Tier-1 Prelims Syllabus
Reasoning Ability
1. Verbal and non-verbal types
2. analogies
3. similarities
4. Syllogism
5. space visualization
6. problem-solving
7. Blood Relation
8. arithmetical reasoning
9. figure classification
10. Logical Reasoning
11. Mirror Image
12. Directions
13. Puzzles and Seating Arrangement
14. Data Sufficiency
15. Coding-decoding
16. Order and Ranking
17. Alpha Numeric Symbol Series
Numeric Ability :
1. Ratio and Proportion
2. Simple Interest
3. Chain Rule
4. Permutation and Combination
5. Decimal Fraction
6. Time and Work
7. Stocks and Share
8. Probability
9. Logarithm
10. Average
11. Numbers
12. Problems on Ages
13. Area
14. Square Root and Cube Root
15. Height and Distance
16. Surds and Indices
17. Boats and Streams
18. Allegation or Mixture
19. Banker’s Discount
20. Races and Games
21. Time and Distance
22. Volume and Surface Area
23. Simplification
23. Pipes and Cistern
24. Partnership
25. Problems on HCF, LCM
26. Compound Interest
Computer Literacy
1. Abbreviations
2. Basic Computer Terminology & Shortcuts
3. Web Technology
4. Database Management Systems
5. Browsers and Search Engines
6. Internet
7. General Concept of Social Networking
8. Computer Memory or Storage Devices
9. Computer Software & Hardware
10. History and Evaluation of Computers
11. Generations and Types of Computers
12. Operating Systems
General Knowledge
1. Awards
2. Books & their authors
3. Sports
4. History- Ancient
5. Medieval & Modern
6. Geography
7. Current Affairs
8. Polity
9. Economics
10. Constitution
11. Indian Art & Culture
12. Everyday Science
13. Scientific Research
14. National/International Organizations /Institutions
General English :
1. Articles
2. Modal
3. Narration
4. Pronoun
5. Adverb
6. Adjective
7. Verb
8. Preposition
9. Tenses
10. Punctuation
11. Voice
12. Vocabulary
13. Idioms & phrases
14. Antonym & Synonyms
15. Reading Comprehension
16. Word Power
General Hindi :
1. भाषा
2. संज्ञा एवं संज्ञा के भेद
3. सर्वनाम एवं सर्वनाम के भेद
4. विशेषण एवं विशेषण के भेद
5. क्रिया एवं क्रिया के भेद
6. वचन
7. लिंग
8. उपसर्ग एवं प्रत्यय
9. वाक्य निर्माण (सरल, संयुक्त एवं मिश्रित वाक्य)
10. पर्यायवाची
11. विपरीपार्थक
12. अनेकार्थक
13. समानार्थी शब्द
14. मुहावरे एवं लोकोक्तियाँ
15. अलंकार
16. सन्धि
17. तत्सम
18. तद्भव
19. देशज एवं विदेशी शब्द
20. समास
21. पद परिचय
22. पठन कौशल
23. शब्द सामर्थ्य

Tier 2
Subject Knowledge Test (Mathematics) :
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, tan2 x, 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 PGT Mathematics Exam Pattern 2026
 
Tier-1 Preliminary Exam
 
Duration : 120 Minutes
 
Negative Mark : 01
 
S.No. Subject No.of Question Marks
Part-I General Reasoning 20 60
Part-II Numeric Ability 20 60
Part-III Basic Computer Literacy 20 60
Part-IV General Knowledge 20 60
Part-V Language Competency Test (English) 10 30
Part-VI Language Competency Test (One other Modern Indian Languages*) 10 30
 
Total
100 300
 
Tier-2 Subject Knowledge Test
 
Negative Marking : 0.25
 
S.No. Subject No.of Question Marks Duration
1. Subject Knowledge Test (Objective) 60 60 150 Minutes
2. Subject Knowledge Test (Descriptive) 10 40
  Total 70 100 150 Minutes

Exam Date : Notified Soon
 
Starting Date of Application Form : Notified Soon
 
Last Date of Application Form : Notified Soon
FAQs

Kvs PGT Mathematics 2026 Exam Syllabus Frequently Asked Questions (FAQ's)

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The candidates must be well versed and acquainted with the syllabus and the exam pattern. Select the areas where improvement is required and schedule your preparation accordingly. To ace this exam, the applicants ought to maintain speed with high accuracy. Practicing previous years question papers will help you understand the exam pattern and the level of difficulty of the exam. You need to hone your strengths and improve upon your weaknesses. Toppersexam.com will aid you through the preparation and drive you to success. At Toppersexam.com, you can practice a complete set of test series along with a free KVS PGT Mathematics mock test designed by our expert faculty.
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