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10th Grade Equivalency Exam

The 10th-grade exam is a crucial milestone that tests your understanding of fundamental concepts in Languages, Mathematics, Science, and Social Science. The question paper typically includes:

  • Objective Type Questions (MCQs)

  • Short Answer Questions

  • Long Answer Questions

  • Case-Based Questions

  • Practical/Internal Assessment (for subjects like Science)


Subject-Wise Detailed Syllabus

Here is a breakdown for each core subject.

1. Mathematics

The goal is to develop problem-solving skills and understanding of numerical concepts.

Key Units/Topics:

  • Real Numbers:

    • Euclid's Division Lemma, Fundamental Theorem of Arithmetic

    • Proofs of irrationality (e.g., √2, √3)

    • Revisiting Rational Numbers and their decimal expansions.

  • Algebra:

    • Polynomials: Relationship between zeroes and coefficients of a polynomial.

    • Pair of Linear Equations in Two Variables: Graphical and algebraic methods (substitution, elimination, cross-multiplication).

    • Quadratic Equations: Solution by factorization and using the quadratic formula.

    • Arithmetic Progressions (AP): nth term, sum of first n terms.

  • Coordinate Geometry:

    • Distance formula, Section formula, Area of a triangle.

  • Trigonometry:

    • Introduction to Trigonometry: Trigonometric ratios, reciprocal relationships, trigonometric identities.

    • Applications of Trigonometry: Heights and distances (simple problems).

  • Mensuration:

    • Areas Related to Circles: Area of sectors and segments of a circle.

    • Surface Areas and Volumes: Surface area and volume of combinations of solids (cone, cylinder, sphere, hemisphere).

  • Statistics & Probability:

    • Statistics: Mean, median, mode of grouped data. Cumulative frequency graph (ogive).

    • Probability: Classical definition, simple problems on single events.


2. Science (Physics, Chemistry, Biology)

The syllabus is divided into three sections, focusing on conceptual understanding and practical application.

Physics:

  • Light - Reflection and Refraction:

    • Reflection by spherical mirrors (Mirror formula, magnification).

    • Refraction through lenses (Lens formula, power of a lens).

  • The Human Eye and the Colourful World:

    • Functioning of the human eye, defects of vision and their correction.

    • Dispersion of light, scattering of light (e.g., why the sky is blue).

  • Electricity:

    • Ohm's Law, Series and parallel combinations of resistors.

    • Heating effect of electric current (Joule's Law), Electric Power.

  • Magnetic Effects of Electric Current:

    • Magnetic field due to a current-carrying conductor, Fleming's Left-Hand Rule.

    • Electric Motor, Electromagnetic Induction, Electric Generator.

  • Sources of Energy: Renewable vs. non-renewable sources (Solar, Wind, Biomass, etc.).

Chemistry:

  • Chemical Reactions and Equations:

    • Types of chemical reactions (Combination, Decomposition, Displacement, Double Displacement), Oxidation-Reduction.

  • Acids, Bases and Salts:

    • Their properties, pH scale, importance of pH in everyday life.

    • Preparation and uses of important salts (e.g., Bleaching powder, Baking soda, Washing soda).

  • Metals and Non-Metals:

    • Properties, Reactivity Series, Formation and properties of ionic compounds.

    • Corrosion and its prevention.

  • Carbon and its Compounds:

    • Covalent bonding, Versatile nature of carbon (Homologous series, Nomenclature).

    • Chemical properties of carbon compounds (Combustion, Oxidation, Addition reaction).

    • Soaps and Detergents.

  • Periodic Classification of Elements:

    • Modern Periodic Table, trends in periodic properties (Valency, Atomic size, Metallic character).

Biology:

  • Life Processes:

    • "What are Life Processes?" - Nutrition, Respiration, Transportation, Excretion in plants and animals (including human digestive, respiratory, circulatory, and excretory systems).

  • Control and Coordination:

    • Nervous system in animals; Human brain, reflex actions.

    • Coordination in plants (plant hormones).

  • How do Organisms Reproduce?

    • Modes of reproduction (Asexual and Sexual).

    • Sexual reproduction in flowering plants and humans (Male and Female reproductive systems, Menstrual cycle).

    • Reproductive health (Birth control, STDs).

  • Heredity and Evolution:

    • Heredity; Mendel's experiments.

    • Sex determination, Evolution, Speciation.

  • Our Environment:

    • Ecosystems, Food chains and webs, Environmental problems (Ozone depletion, waste management).


3. Social Science (History, Geography, Civics, Economics)

This subject aims to develop a holistic understanding of society, governance, and the environment.

History (India and the Contemporary World - II):

  • The Rise of Nationalism in Europe: Unification of Italy and Germany.

  • Nationalism in India:

    • The First World War, Khilafat, and Non-Cooperation Movement.

    • Differing strands within the movement (e.g., Swarajists, Revolutionaries).

    • Civil Disobedience Movement.

    • Culture and Nationalism (e.g., role of folklore, icons, and symbols).

  • The Making of a Global World: The pre-modern world, the 19th-century world, the inter-war economy, rebuilding the post-war world.

  • The Age of Industrialisation: Before and during the Industrial Revolution.

  • Print Culture and the Modern World: The history of print, its impact on culture and society.

Geography (Contemporary India - II):

  • Resources and Development: Types of resources, soil erosion and conservation.

  • Water Resources: Multi-purpose river projects, rainwater harvesting.

  • Agriculture: Types of farming, major crops, cropping patterns, technological and institutional reforms.

  • Minerals and Energy Resources: Distribution of minerals (ferrous and non-ferrous), conventional and non-conventional energy sources.

  • Manufacturing Industries: Importance, location, types (e.g., cotton, jute, iron & steel, IT).

  • Lifelines of National Economy: Transport (road, rail, waterways, airways), communication, international trade.

Civics (Democratic Politics - II):

  • Power Sharing & Federalism: Concepts with references to Belgium, Sri Lanka, India.

  • Democracy and Diversity: Caste, religion, and gender in politics.

  • Gender, Religion and Caste: Forms and expressions of these divisions in politics.

  • Popular Struggles and Movements (e.g., Nepal and Bolivia).

  • Political Parties: Functions, necessities, and challenges.

  • Outcomes of Democracy:

  • Challenges to Democracy: Foundational and expansion challenges.

Economics (Understanding Economic Development):

  • Development: Different goals of development, National Income, Per Capita Income.

  • Sectors of the Indian Economy: Primary, Secondary, Tertiary sectors; Employment, GDP.

  • Money and Credit: Role of money, formal and informal sources of credit.

  • Globalisation and the Indian Economy: Production across countries, WTO, impact of globalisation.

  • Consumer Rights: Why and how to be a conscious consumer; Consumer forums.


4. English Language & Literature

The exam is typically divided into two parts:

Section A: Language (Reading & Writing Skills)

  • Reading Comprehension: Unseen passages (factual, discursive, literary) followed by questions.

  • Writing Skills:

    • Formal Letter Writing (e.g., letter to the editor, job application, complaint letter).

    • Article/Paragraph Writing on contemporary issues.

    • Story Writing based on visual/verbal cues.

  • Grammar:

    • Tenses, Modals, Subject-Verb Agreement

    • Reported Speech, Commands & Requests

    • Clauses, Prepositions, Gap Filling, Editing & Omission

Section B: Literature (Textbooks)

  • Prose: Lessons from the prescribed textbook (themes, characters, plot).

  • Poetry: Poems from the prescribed textbook (understanding themes, literary devices, interpretation).

  • Drama: One play (plot, characters, themes).

  • Supplementary Reader: A storybook with questions on plot and character.