Mathematics Syllabus of CBSE Class 10

Unit 1 Number Systems

Chapter 1: Real Numbers

Euclid's division lemma, Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results - irrationality of √2, √3, √5, decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals, Quadratic Equations

Unit 2 Algebra

Chapter 1: Polynomials

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials?, Statement and simple problems on division algorithm for polynomials with real coefficients?

Chapter 2: Pair of Linear Equations in Two Variables

Pair of linear equations in two variables and their graphical solution. Geometric representation of different possibilities of solutions/inconsistency?, Algebraic conditions for number of solutions?, Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination and by cross multiplication method?, Simple situational problems must be included?, Simple problems on equations reducible to linear equations?

Chapter 3: Quadratic Equations

Standard form of a quadratic equation ax2+bx+c=0, (a ? 0). Standard form of a quadratic equation ax2+bx+c=0, (a ≠ 0)?, Solution of the quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula?, Relationship between discriminant and nature of roots?, Situational problems based on quadratic equations related to day to day activities to be incorporated?,

Chapter 4: Arithmetic Progressions

Motivation for studying Arithmetic Progression

Unit 3 Coordinate Geometry

Chapter 1: LINES (In two-dimensions)

Concepts of coordinate geometry, graphs of linear equations?, Distance formula?, Distance formula?, Section formula (internal division)?, Area of a tnglriae?

Unit 4 Geometry

Chapter 1: triangles

Definitions, examples, counter examples of similar triangles.

Chapter 2: circles

Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.

Chapter 3: constructions

Division of a line segment in a given ratio (internally)Tangent to a circle from a point outside it?, Construction of a triangle similar to a given triangle?,

Unit 5 Trigonometry

Chapter 1: introduction to trigonometry

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined)?, Motivate the ratios, whichever are defined at 0° and 90°?, Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°?, Relationships between the ratios?

Chapter 2: trigonometric identities

Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given., Only simple identities to be given., Trigonometric ratios of complementary angles.

Chapter 3: Heights and distances

Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. , Angles of elevation / depression should be only 30°, 45°, 60°.

Unit 6 Mensuration


Motivate the area of a circle; area of sectors and segments of a circle. , Problems based on areas mfand perimeter / circuerence of the above said plane figures.

Chapter 2: Surface areas and volumes

Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone. Problems involving converting one type of metallic solid into another and other mixed problems.

Unit 7 Statistics & Probability

Chapter 1: Statistics

Mean, median and mode of grouped data (bimodal situation to be avoided)Cumulative frequency graph.

Chapter 2: Probability

Classical definition of probability. Simple problems on single events (not using set notation).

Science Syllabus of CBSE Class 10

Unit I: Chemical Substances - Nature and Behaviour

Chapter 1: Chemical reactions

Chemical equation Balanced chemical equation., Implications of a balanced chemical equation., Types of chemical reactions: combination, decomposition, displacement, double displacement, precipitation, neutralization, oxidation and reduction.

Chapter 2: Acids, bases and salts

Their definitions in terms of furnishing of H+ and OH- ions, General properties., Examples and uses., Concept of pH scale(Definition relating to logarithm not required)., Concept of pH scale(Definition relating to logarithm not required)., Importance of pH in everyday life., Preparation and uses of sodium hydroxide, Bleaching powder, Baking soda, Washing soda and Plaster of Paris.

Chapter 3: Metals and non metals

Properties of metals and non-metals, Reactivity series , Formation and properties of ionic compounds., Basic metallurgical processes., Corrosion and its prevention.

Chapter 4: Carbon compounds

Covalent bonding in carbon compounds. Versatile nature of carbon., Homologous series Nomenclature of carbon compounds containing functional groups (halogens, alcohol, ketones, aldehydes, alkanes and alkynes)., Difference between saturated hydrocarbons and unsaturated hydrocarbons. , Chemical properties of carbon compounds (combustion, oxidation, addition and substitution reaction)., Ethanol and Ethanoic acid (only properties and uses)., Soaps and detergents.

Soaps and detergents.

Chapter 5: Periodic classification of elements

Need for classification, Modern periodic table., Modern periodic table., Gradation in properties., Valency., Atomic number, Metallic and non-metallic properties.

Unit II World of Living

Chapter 1: Life processes

living being Basic concept of nutrition., Respiration., Transport and excretion in plants and animals.

Chapter 2: Control and co-ordination in animals and plants

Tropic movements in plants; Introduction to plant hormones., Control and co-ordination in animals : nervous system., Voluntary., Involuntary and reflex action., Chemical co-ordination: animal hormones.

Chapter 3: Reproduction

Reproduction in animal and plants (asexual and sexual) Safe sex vs HIV/AIDS., Safe sex vs HIV/AIDS., Child bearing and women's health.

Chapter 4: Heredity and evolution

Heredity Mendel's contribution- Laws for inheritance of traits., Sex determination: brief introduction., Basic concepts of evolution.

Unit III Natural Phenomenon

Chapter 1: Light

Reflection of light at curved surfacesRefraction, Refraction of light by spherical lens, Image formed by spherical lenses., Lens formula (Derivation not required), Magnification. , Power of a lens.

Functioning of a lens in human eye., Defects of vision and their corrections., Applications of spherical mirrors and lenses., Refraction of light through a prism., Dispersion of Light., Scattering of light., Applications in daily life.

Unit IV Effects of Current

Chapter 1: Electric current

Electric currentPotential difference and electric current., Ohm's law; Resistance., Resistivity., Factors on which the resistance of a conductor depends., Series combination of resistors., Parallel combination of resistors and its applications in daily life.

Heating effect of electric current and its applications in daily life., Electric power., Inter relation between P, V, I and R.

Chapter 2: Magnetic effects of current

Magnetic fieldField lines., Field due to a current carrying conductor., Field due to current carrying coil or solenoid., Force on current carrying conductor., Fleming's left hand rule. Electromagnetic induction., Induced potential difference.

Induced current., Fleming's Right Hand Rule., Direct current., Alternating current., Frequency of AC., Advantage of AC over DC., Domestic electric circuits.

Unit V Natural Resources

Chapter 1: Sources of energy

Different forms of energy Conventional and non-conventional sources of energy., Fossil fuels., Solar energy., Biogas., Wind., Water and tidal energy.

Nuclear energy., Renewable versus non-renewable sources.

Chapter 2: Our environment

Eco-system Environmental problems., Ozone depletion., Waste production and their solutions., Biodegradable and non-biodegradable substances.

Chapter 3: Management of natural resources

Conservation and judicious use of natural resources. Forest and wild life., Examples of people’s participation for conservation of natural resources., Big dams., Water harvesting., Sustainability of natural resources.

Social Science Syllabus of CBSE Class 10

Unit 1 India and the Contemporary World - II

1. The Rise of Nationalism in Europe:

The growth of nationalism in Europe after the 1830s. The ideas of Giuseppe Mazzini, etc., General characteristics of the movements in Poland, Hungary, Italy, Germany and Greece.

2. The Nationalist Movement in Indo - China

Factors Leading to Growth of Nationalism in Indo-China(a) French colonialism in Indo-China., (a) French colonialism in Indo-China., (a) French colonialism in Indo-China., (b) Phases of struggle against the French., (c) The ideas of Phan Chu Trinh, Phan Boi Chau, HO Chi Minh , (d) The Second World War and the liberation struggle.

(e) America and the Vietnam war.

3. Nationalism in India:

Impact of First world war, Khilafat, NonCooperation and Differing Strands within the Movement.Salt Satyagraha., Movements of peasants, workers, tribals., Limits of Civil Disobedience., The Sense of Collective Belonging.

4. The making of a Global World:

The Pre-modern worldThe Nineteenth Century global economy (colonialism)., The Inter war Economy (Great Depression)., Rebuilding the World Economy.

5. The Age of Industrialization:

Proto-industrialization and pace of industrial change Life of workers., Industrialization in the colonies., Early Entrepreneurs & workers., The Peculiarities of Industrial Growth., Market for Goods.

6. Work, Life & Leisure:

Development of modern cities due to Industrialization in London & BombayHousing and Land Reclamation., Social Changes in the cities., Cities and the challenge of the Environment.

7. Print Culture and the Modern World:

The history of print in Europe.The growth of press in nineteenth century India., Relationship between print culture, public debate and politics.

8. Novels, Society and History:

Emergence of the novel as a genre in the west.The relationship between the novel and changes in modern society., Early novels in nineteenth century India., A study of two or three major writers.

Unit 2 Contemporary India - II

1. Resources and Development:

Types - natural and human; Need for resource planning, natural resources, land as a resource, soil types and distribution., Changing land-use pattern., Land degradation and conservation measures.

3. Water Resources:

Sources, distribution, utilization, multi-purpose projects, water scarcity Need for conservation and management, Rainwater harvesting.

4. Agriculture:

Types of farming Major crops, Cropping pattern, Technological and institutional reforms., Their impact, Contribution of Agriculture to national economy-employment and output.

5. Minerals and Energy Resources:

Types of minerals Distribution (Note: on map only) use and economic importance of minerals., Conservation, Types of power resources., Distribution and utilization, and conservation.

6. Manufacturing Industries:

Types Spatial distribution (Note: on map only) contribution of industries to the national economy., Industrial pollution and degradation of environment, Measures to control degradation.

7. Life Lines of National Economy:

Importance of means of Communication and transportation Trade & Tourism.

Unit 3 Democratic Politics - II

1&2. Power Sharing & Federalism:

Why and how is power shared in democracies? How has federal division of power in India helped national unity?, To what extent has decentralisation achieved this objective?, How does democracy accommodate different social groups? 

3&4. Democracy and Diversity & Gender, Religion and Caste:

Are divisions inherent to the working of democracy? What has been the effect of caste on politics and of politics on caste? , How has the gender division shaped politics?, How do communal divisions affect democracy?

5. Popular Struggles and Movements

Note: Ch-5 is to be done as project work only and will not be evaluated in theory

6. Political Parties:

What role do political parties play in competition and contestation? Which are the major national and regional parties in India?

7. Outcomes of Democracy:

Can or should democracy be judged by its outcomes? What outcomes can one reasonably expect of democracies?, Does democracy in India meet these expectations?, Has democracy led to development, security and dignity for the people?, What sustains democracy in India?

8. Challenges to Democracy:

Is the idea of democracy shrinking? What are the major challenges to democracy in India?, How can democracy be reformed and deepened?, What role can an ordinary citizen play in deepening democracy?

Unit 4 Understanding Economic Development

1. Development:

The traditional notion of development; National Income and Per capita Income., Growth of National Income - critical appraisal of existing development indicators., Human Development Indicators.

2. Sectors of the Indian Economy:

Sectors of Economic Activities Historical change in sectors, Rising importance of tertiary sector, Employment Generation, Division of Sectors- Organised and Unorganized, Division of Sectors- Organised and Unorganised, Protective measures for unorganised sector workers.

3. Money and Credit:

Role of money in an economy: Select one formal institution such as a nationalized commercial bank and a few informal institutions., Local money lenders, landlords, chit funds and private finance companies.

4. Globalisation and the Indian Economy:

Production across countries, Foreign trade and Interaction of Markets., what is Globalization? , Factors, WTO, Impact, Fair Globalization.

5. Consumer Rights:

How consumer is exploited (one or two simple case studies) factors causing exploitation of consumers; Rise of consumer awareness., How a consumer should be in a market., Role of government in consumer protection.

English Syllabus of CBSE Class 10


Chapter 1: Reading Skills

A factual passage of 300-350 words with eight Objective Type QuestionsA Discursive passage of 350-400 words with four Short Answer type Questions to test inference, evaluation and analysis and four MCQs to test vocabulary.


Chapter 1: Writing Skills with Grammar

Tenses Modals (have to/had to, must, should, need, ought to and their negative forms)., Use of passive voice., Subject – verb concord., Reporting., Clauses:, Determiners.

Prepositions., Gap filling with one or two words to test Prepositions, Articles, Conjunctions and Tenses., Editing or omission., Sentences reordering or Sentence Transformation in context.,


Chapter 2: Literature Textbook and Extended Reading Text

Listening and Speaking Competencies 50 Periods

Hindi Syllabus of CBSE Class 10

Unit 1: Hindi A

Chapter 1: अऩदठत गद्माॊश ि काव्माॊश ऩय शीषका का चुनाि, विषम-िस्तु का फोध, अमबव्मष्तत आदद ऩय अतत रघत्तयात्भक एिॊ र ू घत्तयात्भक प्रश्न

अ. एक अऩदठत गद्माॊशएक अपठित काव्यांश,

Chapter 2 :व्याकरण के लिए निर्धारित विषयों पर विषय-वस्तु का बोध, भाषिक बिंदु /संरचना आदि पर प्रश्न

1. व्याकरण

Chapter 3: पाठ्यपुस्तक क्षितिज भाग - 1 व पूरक पाठ्यपुस्तक कृतिका भाग - 1

अ. गद्य खंड

Chapter 4: लेखन

अ. किसी एक विषय पर निबंध।

Unit 2: Hindi B

Chapter 1: पठन कौशल गद्यांश व काव्यांश पर शीर्षक का चुनाव, विषय-वस्तु 4 बोध, भाषिक बिंदु/संरचना आदि पर लघु प्रश्न

अ. अपठित गद्यांश

Chapter 2: व्याकरण के लिए निर्धारित विषयों पर विषय-वस्तु का बोध, भाषिक बंतु /संरचना आदि पर प्रश्न पूछे जाएंगे।

अ. संरचना

Chapter 3: प्राठ्यपुस्तक स्पर्श भाग-। व पूरक पाठ्यपुस्तक संचयन भाग-1

अ. गद्य खण्ड