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:
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Objective Type Questions (MCQs)
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Short Answer Questions
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Long Answer Questions
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Case-Based Questions
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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:
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Real Numbers:
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Euclid's Division Lemma, Fundamental Theorem of Arithmetic
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Proofs of irrationality (e.g., √2, √3)
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Revisiting Rational Numbers and their decimal expansions.
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Algebra:
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Polynomials: Relationship between zeroes and coefficients of a polynomial.
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Pair of Linear Equations in Two Variables: Graphical and algebraic methods (substitution, elimination, cross-multiplication).
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Quadratic Equations: Solution by factorization and using the quadratic formula.
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Arithmetic Progressions (AP): nth term, sum of first n terms.
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Coordinate Geometry:
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Distance formula, Section formula, Area of a triangle.
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Trigonometry:
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Introduction to Trigonometry: Trigonometric ratios, reciprocal relationships, trigonometric identities.
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Applications of Trigonometry: Heights and distances (simple problems).
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Mensuration:
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Areas Related to Circles: Area of sectors and segments of a circle.
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Surface Areas and Volumes: Surface area and volume of combinations of solids (cone, cylinder, sphere, hemisphere).
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Statistics & Probability:
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Statistics: Mean, median, mode of grouped data. Cumulative frequency graph (ogive).
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Probability: Classical definition, simple problems on single events.
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2. Science (Physics, Chemistry, Biology)
The syllabus is divided into three sections, focusing on conceptual understanding and practical application.
Physics:
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Light - Reflection and Refraction:
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Reflection by spherical mirrors (Mirror formula, magnification).
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Refraction through lenses (Lens formula, power of a lens).
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The Human Eye and the Colourful World:
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Functioning of the human eye, defects of vision and their correction.
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Dispersion of light, scattering of light (e.g., why the sky is blue).
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Electricity:
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Ohm's Law, Series and parallel combinations of resistors.
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Heating effect of electric current (Joule's Law), Electric Power.
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Magnetic Effects of Electric Current:
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Magnetic field due to a current-carrying conductor, Fleming's Left-Hand Rule.
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Electric Motor, Electromagnetic Induction, Electric Generator.
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Sources of Energy: Renewable vs. non-renewable sources (Solar, Wind, Biomass, etc.).
Chemistry:
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Chemical Reactions and Equations:
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Types of chemical reactions (Combination, Decomposition, Displacement, Double Displacement), Oxidation-Reduction.
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Acids, Bases and Salts:
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Their properties, pH scale, importance of pH in everyday life.
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Preparation and uses of important salts (e.g., Bleaching powder, Baking soda, Washing soda).
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Metals and Non-Metals:
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Properties, Reactivity Series, Formation and properties of ionic compounds.
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Corrosion and its prevention.
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Carbon and its Compounds:
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Covalent bonding, Versatile nature of carbon (Homologous series, Nomenclature).
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Chemical properties of carbon compounds (Combustion, Oxidation, Addition reaction).
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Soaps and Detergents.
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Periodic Classification of Elements:
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Modern Periodic Table, trends in periodic properties (Valency, Atomic size, Metallic character).
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Biology:
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Life Processes:
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"What are Life Processes?" - Nutrition, Respiration, Transportation, Excretion in plants and animals (including human digestive, respiratory, circulatory, and excretory systems).
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Control and Coordination:
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Nervous system in animals; Human brain, reflex actions.
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Coordination in plants (plant hormones).
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How do Organisms Reproduce?
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Modes of reproduction (Asexual and Sexual).
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Sexual reproduction in flowering plants and humans (Male and Female reproductive systems, Menstrual cycle).
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Reproductive health (Birth control, STDs).
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Heredity and Evolution:
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Heredity; Mendel's experiments.
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Sex determination, Evolution, Speciation.
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Our Environment:
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Ecosystems, Food chains and webs, Environmental problems (Ozone depletion, waste management).
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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):
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The Rise of Nationalism in Europe: Unification of Italy and Germany.
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Nationalism in India:
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The First World War, Khilafat, and Non-Cooperation Movement.
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Differing strands within the movement (e.g., Swarajists, Revolutionaries).
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Civil Disobedience Movement.
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Culture and Nationalism (e.g., role of folklore, icons, and symbols).
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The Making of a Global World: The pre-modern world, the 19th-century world, the inter-war economy, rebuilding the post-war world.
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The Age of Industrialisation: Before and during the Industrial Revolution.
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Print Culture and the Modern World: The history of print, its impact on culture and society.
Geography (Contemporary India - II):
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Resources and Development: Types of resources, soil erosion and conservation.
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Water Resources: Multi-purpose river projects, rainwater harvesting.
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Agriculture: Types of farming, major crops, cropping patterns, technological and institutional reforms.
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Minerals and Energy Resources: Distribution of minerals (ferrous and non-ferrous), conventional and non-conventional energy sources.
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Manufacturing Industries: Importance, location, types (e.g., cotton, jute, iron & steel, IT).
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Lifelines of National Economy: Transport (road, rail, waterways, airways), communication, international trade.
Civics (Democratic Politics - II):
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Power Sharing & Federalism: Concepts with references to Belgium, Sri Lanka, India.
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Democracy and Diversity: Caste, religion, and gender in politics.
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Gender, Religion and Caste: Forms and expressions of these divisions in politics.
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Popular Struggles and Movements (e.g., Nepal and Bolivia).
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Political Parties: Functions, necessities, and challenges.
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Outcomes of Democracy:
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Challenges to Democracy: Foundational and expansion challenges.
Economics (Understanding Economic Development):
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Development: Different goals of development, National Income, Per Capita Income.
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Sectors of the Indian Economy: Primary, Secondary, Tertiary sectors; Employment, GDP.
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Money and Credit: Role of money, formal and informal sources of credit.
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Globalisation and the Indian Economy: Production across countries, WTO, impact of globalisation.
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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)
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Reading Comprehension: Unseen passages (factual, discursive, literary) followed by questions.
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Writing Skills:
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Formal Letter Writing (e.g., letter to the editor, job application, complaint letter).
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Article/Paragraph Writing on contemporary issues.
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Story Writing based on visual/verbal cues.
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Grammar:
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Tenses, Modals, Subject-Verb Agreement
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Reported Speech, Commands & Requests
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Clauses, Prepositions, Gap Filling, Editing & Omission
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Section B: Literature (Textbooks)
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Prose: Lessons from the prescribed textbook (themes, characters, plot).
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Poetry: Poems from the prescribed textbook (understanding themes, literary devices, interpretation).
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Drama: One play (plot, characters, themes).
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Supplementary Reader: A storybook with questions on plot and character.