Teaching Exams

NVS TGT Mathematics Vacancy 2026: Apply Online, Selection Process

📅 Updated On 10 October 2026✨ Update By Jyoti Sharma🌐 Hindi & English

NVS TGT Mathematics Free Mock Test

Crack the NVS TGT Mathematics Mock Test 2026 with the help of an online Test series or a free mock test. Every sample paper in the NVS TGT Mathematics Exam has a designated weight, so do not miss out on any paper. Prepare for the NVS TGT Mathematics mock test and check your test scores.

NVS TGT Mathematics Syllabus 2026, Exam Pattern

NVS TGT Mathematics Syllabus 2026, Exam Pattern, Exam Date 2026

Detail Information about NVS has published notification 2026 for the recruitment of TGT Mathematics 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.

NVS Syllabus 2026 - Overview

Organization Name	Navodaya Vidyalaya Samiti
Posts	TGT Mathematics
Vacancies	Notified Soon
Selection Process	Tier-1 Preliminary (Qualifying) Tier-2 Subject Knowledge Test Interview
Job Location	Various States
Category	Syllabus and Exam Pattern
Official Website	www.navodaya.gov.in

NVS TGT Mathematics Syllabus 2026

General Reasoning :

1. Arithmetic Number Series/Letter and Symbol Series
2. Spatial Orientation
3. Observation
4. Figures/Verbal Classification
5. Relationship concepts
6. Arithmetical Reasoning
7. Non-verbal series
8. Analogies
9. Discrimination
10. Visual Memory
11. Similarities and Differences
12. Spatial Visualization
13. Coding and Decoding
14. Statement and Conclusion
15. Logical Deduction
16. Statement and Argument
17. Cause and Effect
18. Making Judgments

General Hindi :

1. Vocabulary
2. Grammar
3. Synonyms
4. Translation of Sentences
5. Fill in the Blanks
6. Error Detection
7. Comprehension
8. Phrases/Muhavare
9. Plural Forms etc

General English :

1. Verb
2. Comprehension
3. Unseen Passages
4. Tenses
5. Fill in the Blanks
6. Vocabulary
7. Voice
8. Adverb
9. Antonyms/Synonyms
10. Subject-Verb Agreement
11. Error Correction
12. English Grammar
13. Articles
14. Sentence Rearrangement
15. Idioms & Phrases

General Knowledge :

1. Important Days & Dates
2. Indian History
3. Books and Authors
4. Indian National Movement
5. Awards and Honors
6. Budget and Five Year Plans
7. General Polity
8. Current Affairs – National & International
9. Indian Economy
10. States & Capitals of India
11. International & National Organizations
12. Science – Inventions & Discoveries
13. Science & Technology
14. Sports
15. Abbreviations
16. Countries & Capitals

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

Basic Computer Literacy :

1. Hardware: Covers the study of computer components and devices

2. Software: Focuses on the understanding of computer programs and applications

3. Database & Data Warehouse: Explores the concepts of data storage and management

4. Importance and Impact of ICT: Analyzes the significance and influence of Information and Communication Technology

5. Need for ICT: Discusses the reasons and requirements for adopting ICT in various domains

6. Future Scope of ICT: Explores the potential and possibilities of ICT in upcoming trends

7. Telecommunication: Studies the methods and technologies of communication over long distances

8. Cloud Computing: Examines the concept of using remote servers for data storage and processing

Subject Knowledge Test (Mathematics) :

Real Number:

Representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / non-terminating recurring decimals, on the number line through successive magnification.
Rational numbers as recurring / terminating decimals. Examples of nonrecurring /non-terminating decimals. Existence of non-rational numbers (irrational numbers) and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, every point on the number line represents a unique real number. Laws of exponents with integral powers. Rational exponents with positive real bases. Rationalization of real numbers. Euclid’s division lemma, Fundamental Theorem of Arithmetic. Expansions of rational numbers in terms of terminating / non-terminating recurring decimals.

Elementary Number Theory: Peano’s Axioms, Principle of Induction; First Principal, Second Principle, Third Principle, Basis Representation Theorem, Greatest Integer Function, Test of Divisibility, Euclid’s algorithm, The Unique Factorisation Theorem, Congruence, Chinese Remainder Theorem, Sum of divisors of a number. Euler’s totient function, Theorems of Fermat and Wilson.

Matrices : R, R2, R3 as vector spaces over R and concept of Rn. Standard basis for each of them. Linear Independence and examples of different bases. Subspaces of R2,R3. Translation, Dilation, Rotation, Reflection in a point, line and plane. Matrix form of basic geometric transformations. Interpretation of eigenvalues and eigenvectors for such transformations and eigenspaces as invariant subspaces. Matrices in diagonal form. Reduction to diagonal form upto matrices of order 3. Computation of matrix inverses using elementary row operations. Rank of matrix, Solutions of a system of linear equations using matrices.

Polynomials: Definition of a polynomial in one variable, its coefficients, with examples and counter examples, its terms, zero polynomial. Degree of a polynomial, Constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros / roots of a polynomial / equation. Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorization of quadratic and of cubic polynomials using the Factor Theorem. Algebraic expressions and identities and their use in factorization of polynomials. Simple expressions reducible to these polynomials.

Linear Equations in two variables: Introduction to the equation in two variables. Proof that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, Algebraic and graphical solutions.

Pair of Linear Equations in two variables: Pair of linear equations in two variables. Geometric representation of different possibilities of solutions / inconsistency. Algebraic conditions for number of solutions. Solution of pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication.

Quadratic Equations: Standard form of a quadratic equation. Solution of the quadratic equations (only real roots) by factorization and by completing the square, i.e. by using quadratic formula. Relationship between discriminant and nature of roots. Relation between roots and coefficients, Symmetric functions of the roots of an equation. Common roots.

Arithmetic Progressions: Derivation of standard results of finding the nth term and sum of first n terms.

Inequalities: Elementary Inequalities, Absolute value, Inequality of means, Cauchy – Schwarz Inequality, Tchebychef’s Inequality.

Combinatorics: Principle of Inclusion and Exclusion, Pigeon Hole Principle, Recurrence Relations, Binomial Coefficients.

Calculus: Sets Functions and their graphs : polynomial, sine, cosine, exponential and logarithmic functions. Step function, Limits and continuity. Differentiation, Methods of differentiation like Chain rule, Product rule and Quotient rule. Second order derivatives of above functions. Integration as reverse process of differentiation. Integrals of the functions introduced above.

Euclidean Geometry:

Axioms / postulates and theorems. The five postulates and Euclid. Equivalent versions of the fifth postulate. Relationship between axiom and theorem.

Theorems and lines and angles, triangles and quadrilaterals, Theorems on areas of parallelograms and triangles, Circles, theorems on circles, Similar triangles, Theorem on similar triangles. Constructions. Ceva’s Theorem, Menalus Theorem, Nine Point Circle, Simson’s Line, Centres of Similitude of Two Circles, Lehmus Steiner Theorem, Ptolemy’s Theorem.

Coordinate Geometry: The Cartesian plane, coordinates of a point, Distance between two points and section formula, Area of a triangle.

Areas and Volumes: Area of a triangle using Hero’s formula and its application in finding the area of a quadrilateral. Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones. Frustum of a cone. Area of a circle: area of sectors and segments of a circle.

Trigonometry: Trigonometric ratios of an acute angle of a right – angled triangle. Relationships between the rations. Trigonometric identities. Trigonometric ratios of complementary angles. Heights and distances.

Statistics: Introduction to Statistics : Collection of data, presentation of data, tabular form, ungrouped / grouped, bar graphs, histograms, frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, mode of ungrouped data. Mean, median and mode of grouped data. Cumulative frequency graph.

Probability: Elementary Probability and basic laws. Discrete and Continuous Random variable, Mathematical Expectation, Mean and Variance of Binomial, Poisson and Normal distribution. Sample mean and Sampling Variance. Hypothesis testing using standard normal variate. Curve Fitting. Correlation and Regression.

NVS TGT 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	150 Minutes
	Total	70	100	150 Minutes

Exam Date : Update Soon

Starting Date of Application Form : Notified Soon

Last Date of Application Form : Notified Soon

Click For More Information

NVS TGT Mathematics Exam Free Mock Test

Crack NVS TGT Mathematics Mock Test 2026 (Hindi/English) with the help of Online Test Series or Free Mock Test. Every Sample Paper in NVS Exam has a designated weightage so do not miss out any Paper. Preprare for NVS TGT Mathematics Mock Test and check your test scores.

NVS TGT Mathematics Preliminary Exam Tier 1 - Hindi100 questions • 120 mins • 300 marks

Free Test →

NVS TGT Mathematics Preliminary Exam Tier 1 - English100 questions • 120 mins • 300 marks

Free Test →

NVS TGT Mathematics Exam Tier 2 - Hindi60 questions • 90 mins • 60 marks

Free Test →

NVS TGT Mathematics Exam Tier 2 - English60 questions • 90 mins • 60 marks

Free Test →

Test Packages Click Here →

NVS TGT Mathematics Exam Free Online Question Bank

NVS TGT Mathematics question answer with solutions are available in Hindi & English. Join MCQ, Important Questions, Question Bank, questions and answers for Free NVS TGT Mathematics exam preparation.

NVS TGT Mathematics Preliminary Exam Tier 1 - Hindi100 questions • 120 mins • 100 marks

Free Questions →

NVS TGT Mathematics Preliminary Exam Tier 1 - English100 questions • 120 mins • 100 marks

Free Questions →

NVS TGT Mathematics Exam Tier 2 - Hindi60 questions • 90 mins • 60 marks

Free Questions →

NVS TGT Mathematics Exam Tier 2 - English60 questions • 90 mins • 60 marks

Free Questions →

Combo Offers

NVS TGT Mathematics 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