RBSE Class 10 Syllabus 2027: Subject-wise Topics, Chapter Weightage and PDF Download

Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Irrational Numbers, Proofs of irrationality, Decimal representation of rational numbers (terminating and non-terminating)

Zeros of a polynomial, Relationship between zeros and coefficients of quadratic polynomials, Division algorithm for polynomials

Graphical method, Substitution method, Elimination method, Cross-multiplication method, Equations reducible to linear form, Word problems

Standard form of quadratic equation, Factorisation method, Completing the square, Quadratic formula, Discriminant, Nature of roots, Word problems

General term (nth term) of an AP, Sum of first n terms, Applications of AP in real-life problems

Distance formula, Section formula (internal and external division), Midpoint formula, Area of a triangle using coordinates

Similarity of triangles, Criteria for similarity (AA, SAS, SSS), Basic Proportionality Theorem (Thales’ Theorem), Pythagoras Theorem and its converse, Areas of similar triangles

Tangent to a circle, Number of tangents from a point outside the circle, Tangent from an external point (equal length property), Problems on tangent and radius

Trigonometric ratios (sin, cos, tan, cosec, sec, cot), Reciprocal relations, Values at standard angles (0°, 30°, 45°, 60°, 90°), Trigonometric ratios of complementary angles, Trigonometric identities

Angle of elevation, Angle of depression, Heights and distances, Problems involving two right triangles, Real-life applications (towers, buildings, hills)

Area and circumference of a circle, Area of sector and segment, Areas of combinations of plane figures (circle + triangle, circle + rectangle)

Surface area and volume of combinations of solids (cube, cuboid, cylinder, cone, sphere, hemisphere), Conversion of one solid into another, Frustum of a cone

Mean of grouped data (direct method, assumed mean method, step-deviation method), Median of grouped data, Mode of grouped data, Cumulative frequency distribution, Ogive (cumulative frequency curve)

Classical definition of probability, Complementary events, Simple problems on single events (cards, dice, coins), Impossible and certain events, Equally likely outcomes

Reflection of light, Laws of reflection, Spherical mirrors (concave and convex), Image formation, Mirror formula, Magnification. Refraction of light, Snell’s Law, Refraction through glass slab, Convex and concave lenses, Lens formula, Power of a lens, Refractive index

Structure and functioning of the human eye, Power of accommodation, Defects of vision (myopia, hypermetropia, presbyopia) and their correction, Refraction through a prism, Dispersion of light, Atmospheric refraction, Scattering of light (Tyndall effect, blue sky, red sunrise/sunset)

Electric current and circuit, Ohm’s Law, Resistance and its factors, Resistors in series and parallel, Heating effect of electric current, Joule’s Law, Electric power and energy, Domestic electric circuits (fuse, earthing)

Magnetic field and field lines, Magnetic field due to current-carrying conductor (straight wire, circular coil, solenoid), Force on a current-carrying conductor, Fleming’s Left-Hand Rule, Electric motor, Electromagnetic induction, Faraday’s Law, Fleming’s Right-Hand Rule, Electric generator, AC vs DC

Characteristics of a good fuel, Conventional sources (fossil fuels, thermal power, hydroelectric power), Non-conventional sources (solar, wind, biogas, tidal, geothermal), Nuclear energy (fission and fusion), Environmental impact of energy use

Writing and balancing chemical equations, Types of reactions: combination, decomposition, displacement, double displacement, precipitation, neutralisation, oxidation-reduction, Corrosion and rancidity

Properties of acids and bases, Reaction with metals, metal carbonates and bicarbonates, pH scale and its importance, Salts and their properties, Preparation and uses of sodium hydroxide, bleaching powder, baking soda, washing soda, plaster of Paris

Physical and chemical properties of metals and non-metals, Reactivity series, Formation of ionic compounds, Basic metallurgical processes (extraction, refining), Corrosion and its prevention, Alloys

Covalent bonding in carbon, Versatile nature of carbon (catenation, tetravalency), Saturated and unsaturated compounds, Homologous series, Functional groups, Nomenclature, Ethanol and Ethanoic acid, Soaps and detergents

Döbereiner’s triads, Newlands’ law of octaves, Mendeleev’s periodic table (achievements and limitations), Modern periodic table, Periodic trends: atomic size, metallic character, valency, electronegativity

Nutrition: autotrophic (photosynthesis — raw materials, products, conditions) and heterotrophic. Respiration: aerobic and anaerobic, ATP. Transportation: human heart and blood vessels, lymph, xylem and phloem in plants. Excretion: kidney structure and function, dialysis, excretion in plants

Nervous system: neurons, brain structure, spinal cord, reflex arc. Chemical coordination: hormones (adrenaline, thyroxine, insulin, growth hormone, sex hormones). Plant movements: tropic movements, phytohormones (auxins, gibberellins, cytokinins, abscisic acid)

Asexual reproduction: fission, budding, fragmentation, spore formation, vegetative propagation. Sexual reproduction: flower structure, pollination, fertilisation, seed dispersal. Human reproductive system: male and female. Reproductive health, STDs, contraception

Mendel’s laws of inheritance, Monohybrid and dihybrid crosses, Sex determination in humans. Evolution: Darwin’s theory, natural selection, speciation, fossil evidence, homologous and analogous organs, vestigial organs, human evolution

Ecosystem components (biotic and abiotic), Food chains and food webs, Trophic levels, Ozone layer and its depletion, Garbage management, Biodegradable and non-biodegradable substances

Conservation of forests and wildlife, Stakeholders in forest management, Water harvesting (traditional methods, dams), Coal and petroleum conservation, Three R’s (Reduce, Reuse, Recycle)

One unseen prose passage (Gadyansh) and one unseen poetry passage (Padyansh). Questions test comprehension, word meaning, and context-based grammar. You must read and answer in Hindi.

Sandhi (Swara and Vyanjana sandhi), Samas (all six types with vigraha), Upsarg (prefixes), Pratyay (suffixes), Muhavare (idioms), Lokoktiyan (proverbs), Vakya bhed (types of sentences by meaning and structure), Vilom shabd (antonyms), Paryayvachi shabd (synonyms), Vakya shodhan (error correction)

Kavya Khand (Poetry — 14 marks): Poems from RBSE-prescribed Hindi textbook (Kshitiz Part 2) — central idea, poetic devices, meaning of lines, character analysis. Gadya Khand (Prose — 14 marks): Prose lessons — main idea, author’s message, short and long answer questions on stories and essays

Nibandh (essay writing — 300–350 words on social, current, and descriptive topics), Patra lekhan (formal and informal letters), Anuched lekhan (paragraph writing), Sandesh lekhan (message writing), Summary writing

Two unseen passages — one factual (notice, report, description) and one literary or discursive. Questions cover comprehension, title suggestion, note-making, vocabulary in context, and multiple-choice questions

Formal letter (letter to editor, complaint, request, application), Informal letter (to a friend or relative), Notice writing, Paragraph writing, Short story or article writing based on a given outline

Tenses (all forms), Modals, Active and passive voice, Direct and indirect (reported) speech, Clauses (noun, relative, adverb), Determiners, Prepositions, Gap-filling and editing/error correction exercises

First Flight — Prose: A Letter to God, Nelson Mandela: Long Walk to Freedom, Two Stories About Flying, From the Diary of Anne Frank, Glimpses of India, Mijbil the Otter, Madam Rides the Bus, The Sermon at Benares, The Proposal. First Flight — Poetry: Dust of Snow, Fire and Ice, A Tiger in the Zoo, How to Tell Wild Animals, The Ball Poem, Amanda!, Animals, The Trees, Fog, The Tale of Custard the Dragon, For Anne Gregory. Footprints Without Feet (Supplementary Reader — all 10 chapters): A Triumph of Surgery, The Thief’s Story, The Midnight Visitor, A Question of Trust, Footprints Without Feet, The Making of a Scientist, The Necklace, The Hack Driver, Bholi, The Book That Saved the Earth

Unseen Sanskrit passage with comprehension questions in Sanskrit and Hindi, translation from Sanskrit to Hindi, fill-in-the-blank grammar questions based on the passage

Sandhi (Swara sandhi, Vyanjana sandhi, Visarga sandhi), Samas (all types with vigraha), Karak and Vibhakti (all eight cases), Dhatu roop (conjugation: Lat, Lrit, Lot, Vidhi-Ling lakar for common verbs), Shabd roop (declension of masculine, feminine, and neuter nouns), Upsarg and Pratyay, Vakya nirmaan (sentence construction), Anuvad (Hindi to Sanskrit translation)

Shemushi Part II (NCERT) and RBSE-prescribed Sanskrit textbook — prose and poetry passages, comprehension questions in Sanskrit and Hindi, meaning of words and shlokas, central idea, paraphrasing in simple Sanskrit

Sanskrit essay writing (Nibandh) on simple topics (Vidyalayah, Kalidas, Vriksha, Mitra, Gramah, etc.), Sanskrit letter writing (Patra — formal and to family), Sanskrit paragraph writing with guided prompts