Bihar Board Class 10 Syllabus 2027: Subject-Wise Topics, Chapter Weightage and PDF Download

Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Irrational numbers (proofs), Rational numbers and their decimal expansions (terminating and non-terminating)

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

Graphical method of solution, Algebraic methods: Substitution, Elimination, Cross-multiplication, Equations reducible to linear form

Standard form of quadratic equation, Solution by factorisation and completing the square, Nature of roots using discriminant (D = b² – 4ac)

Motivation for studying AP, General term (nth term), Sum of first n terms, Application problems on AP

Distance Formula, Section Formula, Area of a triangle using coordinates, Mid-point formula

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

Tangent to a circle, Tangent from an external point, Number of tangents from a point on a circle, Length of tangent theorem

Division of a line segment in a given ratio, Construction of a triangle similar to a given triangle, Construction of tangents from an external point

Trigonometric ratios of an acute angle in a right triangle, Ratios for specific angles (0°, 30°, 45°, 60°, 90°), Trigonometric ratios of complementary angles, Trigonometric identities

Heights and distances using angle of elevation and angle of depression, Simple problems on finding heights and distances

Area and perimeter of a circle, Area of sector and segment, Areas of combinations of plane figures involving circles

Surface area and volume of combinations of solids (cone + hemisphere, cylinder + cone, etc.), Conversion of solid from one shape to another, Frustum of a cone

Mean of grouped data (direct, assumed mean, step deviation methods), Median and mode of grouped data, Cumulative frequency graph (Ogive — less than and more than types)

Classical definition of probability, Probability of a simple event, Complementary events, Problems on single events (coins, dice, cards, bags)

Chemical equations, Balanced chemical equations, Types of chemical reactions — Combination, Decomposition, Displacement, Double Displacement, Oxidation and Reduction reactions, Rancidity and corrosion

Properties of acids and bases, Reaction of acids and bases with metals, pH scale, Importance of pH in everyday life, Common salts: Sodium hydroxide, Bleaching powder, Baking soda, Washing soda, Plaster of Paris

Physical and chemical properties of metals and non-metals, Reactivity series, Formation and properties of ionic compounds, Extraction of metals (metallurgy basics), Corrosion and prevention

Covalent bonding in carbon compounds, Allotropes of carbon, Hydrocarbons (alkanes, alkenes, alkynes), Nomenclature of carbon compounds, Chemical properties of ethanol and ethanoic acid, Soaps and detergents

Early attempts at classification (Dobereiner’s Triads, Newlands’ Law of Octaves), Mendeleev’s Periodic Table and its limitations, Modern Periodic Table, Periodic trends: valency, atomic size, metallic and non-metallic character

Nutrition — Autotrophic (photosynthesis) and Heterotrophic; Respiration — aerobic and anaerobic; Transportation — blood, lymph, heart; Excretion — kidneys, nephrons, dialysis, excretion in plants

Nervous system — neuron structure, brain, spinal cord, reflex arc; Chemical coordination in animals — hormones (adrenaline, insulin, thyroxine); Coordination in plants — tropic movements, phytohormones

Asexual reproduction — fission, fragmentation, regeneration, budding, vegetative propagation, spore formation; Sexual reproduction in flowering plants; Human reproductive system; Contraception; Reproductive health

Heredity — Mendel’s laws (monohybrid and dihybrid crosses), Sex determination in humans; Evolution — Charles Darwin’s theory, natural selection, speciation; Evidences of evolution; Human evolution

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

Structure and functioning of the human eye, Power of accommodation, Defects of vision — myopia, hypermetropia, presbyopia and their correction; Atmospheric refraction, Tyndall effect, Scattering of light (why sky is blue, why sun appears red at sunrise/sunset)

Electric current and circuit, Electric potential and potential difference, Ohm’s Law, Resistance and factors affecting it, Resistors in series and parallel, Heating effect of electric current (Joule’s Law), Electric power, Practical uses of heating effect

Magnetic field due to a current-carrying conductor, Right-hand thumb rule, Magnetic field due to circular loop and solenoid, Electromagnet; Force on a current-carrying conductor in a magnetic field, Electric motor; Electromagnetic induction, Electric generator; Domestic electric circuits, Fuse

Ecosystem — its components; Food chains and food webs, Trophic levels, Biological magnification; Ozone layer depletion; Garbage and waste management; Biodegradable and non-biodegradable substances

Conservation of forests and wildlife, Stakeholders in forest management; Water for all — dams, water harvesting, Ganga Action Plan; Coal and petroleum — sustainable use; Alternative sources of energy (solar, wind, biogas)

Shram Vibhajan aur Jati Pratha (B.R. Ambedkar), Vish ke Daant (Nagarjun), Bharat Mata (Bhartendu Harishchandra), Neta Ji Ka Chasma (Swayam Prakash), Bahadur (Amarkant), Jit-Jit Mein Nirala (Mannu Bhandari), Maati Wali (Vidyasagar Nautiyal), Ek Samaj ka Ant (Tarashan Bandyopadhyay)

Ram Banwas (Tulsidas), Param Durg (Surdas), Atamtran (Rabindranath Tagore, tr.), Ab Kahaan Doosre ke Dukh (Nirala), Hamari Neend (Kedarnath Agrawal), Akaal Mein Saras (Kedarnath Agrawal), Hiroshima (Sarveshwar Dayal Saxena), Ek Vriksha ki Hatya (Kunwar Narayan), Hum Panchhi Unmukt Gagan Ke (Shivmangal Singh ’Suman’)

Dahi Wali Mangamma (Sri Nivas), Do Bailon Ki Katha (Premchand), Dhanooo (Vinod Kumar Shukla), Maa (Ishwar Petchekar)

Sandhi (Vowel, Consonant, Visarg Sandhi), Samas (Compound formation and identification), Karak (Cases and their markers), Kriya Vishleshan (Verb analysis), Vakya Parivartan (Sentence transformation — active/passive, direct/indirect), Muhavare aur Lokoktiyan (Idioms and proverbs)

A Letter to God, Nelson Mandela — Long Walk to Freedom, Two Stories About Flying (His First Flight; Black Aeroplane), From the Diary of Anne Frank, The Hundred Dresses–I, The Hundred Dresses–II, Glimpses of India (A Baker from Goa; Coorg; Tea from Assam), Mijbil the Otter, Madam Rides the Bus, The Sermon at Benares, The Proposal (Play)

Dust of Snow (Robert Frost), Fire and Ice (Robert Frost), A Tiger in the Zoo (Leslie Norris), How to Tell Wild Animals (Carolyn Wells), The Ball Poem (John Berryman), Amanda! (Robin Klein), Animals (Walt Whitman), The Trees (Adrienne Rich), Fog (Carl Sandburg), The Tale of Custard the Dragon (Ogden Nash), For Anne Gregory (W.B. Yeats)

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

Tenses (all forms), Modals, Subject-Verb Agreement, Reported Speech (Direct and Indirect), Clauses (Noun, Adverb, Relative), Active and Passive Voice, Prepositions, Articles, Editing and Omission exercises

Selected prose passages from the BSEB-prescribed Sanskrit textbook, including comprehension, meaning, and translation exercises. Topics include moral stories (Niti Shloka), historical narratives, and cultural texts.

Sandhi (joining of words — Vowel, Consonant, Visarg), Vibhakti (all seven cases — Prathamaa to Saptamii), Samas (compound words — identification and vigraha), Dhatu roop (verb conjugations — Lat, Lrit, Lot, Lang Lakar), Shabd roop (noun declensions — masculine, feminine, neuter), Pratyay (suffixes — Krit and Taddhit), Upasarg (prefixes)