Written Examination Syllabi For TGT (English): KVS
Reading Comprehension (Section - A)
Ability to comprehend, analyze and interpret an unseen text: Three/four unseen texts of varying lengths (150-250 words) with a variety of
objective type, multiple choice questions (including questions to test
vocabulary) testing factual and global comprehension.
Writing ability (Section – B)
Testing ability to express facts views / opinions in a coherent and
logical manner in a style suitable to the task set.
B.1 One short writing task such as: notice, message or a postcard.
B.2 Writing a report of an event, process, or place.
B.3 Writing an article / debate / speech based on visual / verbal input
on a given concurrent topic for e.g. environment, education, child labour,
gender bias, drug- abuse etc presenting own views fluently.
B.4 Writing a letter (formal/informal) on the basis of verbal / visual
input. Letter types include: (a) letter to the editor; (b) letter of complaint ;
(c) letter of request ; (d) descriptive , personal letters.
Grammar and Usage (Section – C)
Ability to apply the knowledge of syntax, language/ grammatical items
and to use them accurately in context. The following grammatical structures will
be tested :
- Subject- verb concord
- Parts of speech
- Sequencing to form a coherent sentence or a paragraph.
Literature (Section – D)
To test the candidate’s familiarity with the works of writers of
different genres and periods of English Literature .
The candidate should have a thorough knowledge of :-
- Shakespeare’s works.
- Romantic Period (e.g. Shelley, Wordsworth , Keats, Coleridge, Byron
- 19th & 20th Century American and English Literature (e.g. Robert Frost
Hemingway, Ted Hudges, Whitman, Hawthorne, Emily Dickinson, Bernard Shaw
- Modern Indian Writing in English (e.g. Anita Desai, Vikram Seth , Nissim
Ezekiel, K.N. Daruwala, Ruskin Bond, R.K. Narayan, Mulk Raj Anand, Khushwant
- Modern Writings in English from different parts of the world.
Written Examination Syllabi For TGT (Mathematic): KVS
Real Numbers: 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 non-recurring
/ 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
Elementary Number Theory: Peano’s Axioms, Principle of Induction;
First Principle, 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 polymonials. Simple expressions reducible to
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 of Euclid. Equivalent
versions of the fifth postulate. Relationship between axiom and theorem.
Theorems on 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 ratios.
Trigonometric identities. Trigonometric ratios of complementary angles. Heights
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
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 variety. Curve Fitting. Correlation and Regression.
Written Examination Syllabi For TGT (Science): KVS
Effect of Current:
Potential; potential difference ohms law; series combination of resistors,
parallel combination of resistors; Power dissipation due to current; Inter relation between P,V,I and R. Magnetic field & magnetic lines, Magnetic field
due to current carrying conductor; Fleming left hand rule, Electromagnetic
Induction; Induced Potential Difference, Induced current; Direct current,
Alternating current; Frequency of AC, Advantage of Electronic Motor & Electronic
Convergence and Divergence of light; Images formed by a Concave Mirror; related
concepts, centre of curvature; principles axis, optic centre, focus, focal length, Refraction & laws of refraction. Images formed by a convex lens;
functioning of vision and remedies. Applications of spherical mirrors and
Appreciation of concept of refraction index; Twinkling of stars; Dispersion of
light; Scattering of light.
Source of Energy:
Different forms of Energy, Leading to different sources for human use: Fossil
Fuels, solar energy; Biogas; Wind; Water and Tidal Energy; Nuclear Energy.
Renewable versus non-renewable sources.
Motion ; Force and Newton's Laws
Displacement, Velocity, uniform & Non-Uniform motion along a straight line,
acceleration distance-time and velocity, Time graphs for uniform and uniformly
accelerated motion; Equations of motion by graphical method Equations of motion
by graphical method; Elementary idea of uniform circular motion.
Force and Motion; Newton’s laws of motion Inertia of a body; Inertia and Mass,
Momentum Force and acceleration, Elementary idea of conservation of momentum,
Action and Reaction forces.
Gravitation; Work, Energy and Power:
Gravitation; Universal Law Of Gravitation, Force of gravitation of the
earth(gravity, acceleration due to gravity; mass and weight; free fall. Work
done by a force energy, power ; Kinetic and Potential energy; law of
conservation of energy.
Thrust and Pressure, Archimedes Principle ,Buoyancy, Elementary idea of relative
Nature of Sound and its Propagation in various media, Speed of Sound, Range of
hearing in Humans; Ultra Sound, Reflection of sound; Echo and SONAR; Structure
of the Human Ear (Auditory aspect only)
Matter-Nature and Behavior: States of Matter:
Gases, liquids, solids, plasma and Bose- Enstein condenstate, types of
Classification of matter into mixtures and pure substances. Henry’s Law.
Concentration of solutions.
Colloids- phases of colloids, Tyndall effect, Brownian movement. suspension.
Properties of matter. Measurement of properties of matter- S.I. system of units, physical and chemical changes.
Laws of chemical combination:
Gay Lassa's law, Avogadro law, atomic and molecular masses, average atomic
mass, mole concept and molar masses, percentage composition.
STRUCTURE OF ATOM:
Dalton’s atomic theory, Discharge tube experiments, J J Thomson’s model of atom,
Rutherford’s model, Bohr’s model of atom, electronic configuration, formation of
ions, Characterization of elements as metals, metalloids, or non-metals,
isotopes (their applications), isobars and isotones.
PERIODIC CLASSIFICATION OF ELEMENTS
Mendeleev’s periodic law, Periodic properties of elements, - trends in the
periods and groups: Importance of the periodic table, position of hydrogen in
the periodic table.
Nature and behaviour Acid, Bases and Salts: Classical definition of acids and
bases, Bronsted- Lowry theory, Lewis concept of acid and bases, relative
strengths of acids and bases, logarithmic or p scale- pH, pOH and pkw, ionic
equilibria in a solution
Action of indicators on acids and bases, sources of acid and bases,
Salt-Classification of salts and their pH
Formulation of chemical equations, balancing chemical equations,
Types of chemical equations with examples.
METALS AND NON- METALS:
Characters of metals and non-metals including all properties and applications:
Occurrence of metals in nature : ores and minerals, enrichment of ores metallurgical operations.
Corrosion: rusting of iron -
prevention of corrosion
Position of carbon in the periodic table. Concept of hybridization and shapes of
molecules structural formula and molecular models, types of reactions undergone
by organic compounds, homologous series of compounds having different functional
groups, isomerism, IUPAC nomenclature of organic compounds.
their classification formation of coal and petroleum.
Industrial source, preparation and properties of alkanes
Preparation and properties. Qualitative analysis of alcohols, iodoform
test, effect of alcohols on living beings.
Carboxylic acids: Preparation and properties. Functional group analysis of carboxylic acid.
Soaps , detergents , biodegradable detergents. Carbon fibres.
CONSERVATION OF NATURAL RESOURCES:
Pollution of river water, Ganga action plan for improving quality of water,
Need for sustainable management of natural resources.
Development of non- conventional energy resources to prevent pollution and
MAN MADE MATERIAL
Ceramics, cement, porcelain, glass, carbon fibres, soaps and detergents,
polymers, fibres and plastics.
Control & Co-Ordination:
What are life Processes.
Need for Nutrition.
Different modes of Nutrition in animals.
What is Photosynthesis .
Various steps of holozoic nutrition.
Aerobic and anaerobic respiration.
Transportation in Human beings.
Transportation in Plants.
Transportation in animals.
Excretion in animals including Human beings.
Excretion in Plants.
Animals – nervous system.
Basic unit of Nervous System in animals.
Co- Ordination in plants.
Geotropism – Positive, Negative
Hormones in animals.
Endocrine & Exocrine glands.
Heredity and Evolution:
Importance of variation.
Modes of Reproduction used by single organisms.
Sexual Reproduction in plants and animals.
Reproduction in Human beings.
What happens when egg is not fertiliszed.
Modes of avoiding pregnancy(family planning)
The Human eye and the colorful world:
What is heredity?
Medals Law of inheritance.
How is sex determined.
Evolution & Classification.
Acquired and inherited traits.
Homologus and Analogous organs.
What are fossils?
Structure of eye
Defects of eye and their correction
The fundamental unit of Life:
What are living organisms made of?
Structure organization of cell
Diversity of living organisms:
Types of plants tissue and animals tissues
Why do we fall ill:
Basis of Classification.
Classification & Evolution.
Hierarchy of classification – groups.
Health & its failure.
Diseases and their causes
Types of diseases- Infectious, Noninfectious.
Prevention of diseases.
1. Our Environment :
Atmosphere, roll of atmosphere in climate control, wind, rain, environmental
Global warming and green house effect , acid rain, particulate pollutants, smog,
formation of photochemical smog.
Formation of ozone and its break down ozone hole, causes of ozone hole
formation, polar vortex, effects of depletion of ozone hole.
Water pollution-oxygen demand, chemical oxygen demand, international standard of
drinking water, processing of drinking water.
Soil pollution: waste recycling, Strategies to control environmental pollution,
its collection and proper methods of disposal.
Biogeochemical cycles: water cycle, nitrogen cycle, carbon cycle, and oxygen
Improvement in Food Resources:
Breath of life: Air, Air pollution
Water a wonderful liquid.
Biochemical cycles. Nitrogen cycle. Carbon cycle. Oxygen cycle.
The green house effect.
What is ozone layer. How does it protect the earth. What are the causes of
depletion of ozone layer. How can it affect day to day life of living organisms.
Improvement in crop yield.
Need for Intercropping.
Written Examination Syllabi For TGT (Social Science): KVS
Labour &Peasant class issues
Growth of industries in India in twentieth
Features of colonial society in India
The Revolt of 1857
Indian Freedom Struggle – 1885 to 1947
Russian Revolution-1917, Causes, Events, Impact on Russia and the World,
Rise of Socialism
Rise of Fascist Forces in Germany & Italy
Philosophy of Karl Marx
Socialism in Europe
Impact of Socialism
The Two World Wars and the establishment of UN
Introduction to solar system; origin of earth:
Motions of the Earth:
Rotation, Revolution, Occurrence of Day and Night; change
of seasons; Latitudes and Longitudes; Finding time.
Earth’s Interior: Origin of continents and ocean basins Wagener's Continental
drift theory, Theory of Plate Tectonics, Earthquakes and Volcanoes, Folding and
Rocks and minerals:
Types of rocks; soil formation; major types and
Agents of gradation
: Weathering, mass wasting, running water, wind, glaciers,
sea waves and Karsat topographyClimate:
India (Size and Location)
Physical features of India:
Atmosphere - Composition and structure, elements of weather and climate
Insulation -Heat Budget, Heating and cooling of atmosphere, Conduction,
Convection, Solar Radiation, Terrestrial raditiation, Advection, Temperature,
Factors controlling temperature, distribution of temperature-horizontal and
Pressure -Pressure belts, winds, cyclones and anti-cyclone,
Evaporation, condensation and precipitation and their forms: Humidity, rainfall
and its types.
World climates- Classification, greenhouse effect, global worming and global
Water (Oceans): Distribution of water bodies on the Earth’s surface; hydrological cycle.
Ocean- Submarine relief, distribution of temperature and salinity; movement of
ocean water’s-waves, tides currents of Atlantic, Pacific and Indian Ocean
Maps and Scales- Definition and classification
Finding directions, conventional signs
Techniques of representing relief features on map; contours, Hachures, Hill shading, layer tinting.
Representation of climatic data; line and Bar Graph, (Climograph) Isotherms,
isobars and isohyets
Biosphere: Ecology, type of Eco-System, structure and functions of
Eco-system-Food Chain, Food Web, World Biomes, Ecological Balance , Biodiversity
and its conservation.
Geological Structure, Physiographic divisions, drainage system and its
origin and mechanism of Indian monsoon, Seasons of India,
Classification of Climate of India (Coeppen’s) Soil: Types and distribution:
Natural vegetation: types and distribution.
Growth and Distribution of population: Causes & Factors
Migration-Causes and consequences
Population theories & their relevance- Malthus, Demographic transition - theory
Population composition and its Attributes: Population and sustainable
development; Population as a resource; Population problems and polices with
reference to India.
Resources and Development:
Meaning, nature and Components of resources and environment; Resources,
environment and technology interface: classification of resources.
Distribution, utilization, economic and environmental significance and
conservation of water, Minerals, Forests and fisheries; production and
distribution of major crops, wild life resource and energy resources.
Wet and dry agriculture, Intensive, Extensive, shifting, commercial and
plantation agricultural development and problems, crop intensity, major crops.
Classification, locational factors, types and distribution, industrial clusters
of India, Production and distribution of sugar, Cotton Textile Iron and steel,
chemicals and electronic industries.
Life lines of National Economy:
Means of transportation and communication, Roads, Railways, waterways and
airways, oil and gas pipelines, National electric grid, radio, television
satellite and computers
International trade - Changing pattern of India’s foreign trade, sea ports and
airports: Tourism as trade.
Understanding Disaster and Hazards:
Type of Disasters- Natural & Manmade.
Disaster Management : Becoming a Disaster manager. Components of Disaster
Disaster risk reduction: Disaster risk management. Understanding Disaster
mitigation. Specific Hazards and mitigation.
Common manmade Disasters and their prevention
Community based Disaster Management and social planning for Disasters.
Tsunami: The killer sea waves.
Survival skills: During and After Disaster.
Alternative Communication system.
Safe construction Practices
Components of production:
People as Resource:
Poverty as a challenge
Economic activities/ non economic activities
Food security in India:
Poverty & inequality
Policies for poverty reduction
Growth/Development and structural development:
Issue Price/Support price
Role of co-operative societies in food security
Sectors of the Economy:
Growth and distribution, sustainable agricultural growth
Growth structural changes
Population and human resource development
Purchasing power parity (PPP)
Main features of Indian Economy at the time of Independence
Gross enrolment ratio
Foreign trade & Economic development
Development & under development
Distribution of Income/factors of development
Money & Credit:
Classification of Sectors like- Primary/Secondary/
Small and Large Industry
Performance of the Public Sector
Employment growth in the Industrial sector
Indian Monetary System
Function of money
Central Bank function
Self help Groups (SHGs)
Demand of money & supply of money
Money and capital market
Monetary aggregates in India.
- Power sharing
- Democracy and Diversity
- Political parties
- Challenges to Democracy
- Popular struggle and movements –like in Nepal, Bolivia
Local Self Government
Democracy in India & the World
- Indian Constitution
Framing of the constitution
Adoption of the constitution
Working of Institutions –Parliament ,