Based on official CISCE 2026-27 PDFs from cisce.org. All 7 core subjects fully updated including the newly added Electricity & Magnetism in Physics.
Ch.1 · Pure Arithmetic
Rational and Irrational Numbers
Real numbers, surds, rationalisation of surds, simplifying by rationalising denominator, representation on number line, proofs of irrationality of √2, √3, √5
Ch.2 · Commercial Maths
Compound Interest
CI as repeated SI with growing principal, amount formula A=P(1+r/100)^n, half-yearly compounding, finding A/P/r/n given combinations, CI–SI difference, rate of growth and depreciation
Ch.3 · Algebra
Expansions and Factorisation
Algebraic identities: (a±b)², (a±b)³, (x±a)(x±b), (a±b±c)²; Factorisation: a²-b², a³±b³, ax²+bx+c by splitting middle term
Ch.4 · Algebra
Simultaneous Linear Equations
Solving by elimination, substitution and cross-multiplication; framing and solving word problems
Ch.5 · Algebra
Indices / Exponents
Positive, fractional, negative and zero indices; laws of indices: aᵐ×aⁿ=aᵐ⁺ⁿ, aᵐ÷aⁿ=aᵐ⁻ⁿ, (aᵐ)ⁿ=aᵐⁿ; simplification of expressions
Ch.6 · Algebra
Logarithms
Logarithmic vs exponential form, laws of logarithms, expansion of expressions using log laws (e.g. log y = 4log a + 2log b - 3log c)
Ch.7 · Geometry
Triangles
Congruency (SSS, SAS, AAS, RHS); angles opposite equal sides; triangle inequalities; Mid-Point Theorem with proof; Equal Intercept Theorem; Pythagoras Theorem (area-based proof) and converse
Ch.8 · Geometry
Rectilinear Figures
Parallelogram theorems (all 6 properties with proofs), constructions of quadrilaterals and regular hexagon, area theorems on parallelograms (same base and between same parallels)
Ch.9 · Geometry
Circle — Chord Properties
Perpendicular from centre bisects chord, equal chords equidistant from centre, one circle through 3 points; arc and chord properties: equal arcs ↔ equal angles and equal chords
Ch.10 · Statistics
Statistics
Raw, arrayed and grouped data, tally marks, mean and median of ungrouped data, class intervals, frequency tables, grouped frequency distributions (continuous intervals), frequency polygon
Ch.11 · Mensuration
Area, Perimeter and Volumes
Area and perimeter of triangles (Heron's), all quadrilaterals; circle area and circumference; sectors; surface area and volume of cube and cuboid (including inner/outer dimensions, cost, open/closed)
Ch.12 · Trigonometry
Trigonometry
sin, cos, tan and reciprocals; standard angles 0°,30°,45°,60°,90°; simple 2D problems with right-angled triangle; complementary angle relations
Ch.13 · Coordinate Geometry
Coordinate Geometry
Cartesian plane, ordered pairs, plotting points, solving simultaneous equations graphically, distance formula
Unit 1
Measurements and Experimentation
SI units, Vernier callipers (LC, zero error), micrometer screw gauge for length, simple pendulum for time — T=2π√(l/g), graph of l vs T²
Unit 2
Motion in One Dimension
Scalars and vectors, distance vs displacement, speed vs velocity, acceleration, distance-time and velocity-time graphs. Derived equations: v=u+at, s=ut+½at², v²=u²+2as, s=½(u+v)t
Unit 3
Laws of Motion
Contact and non-contact forces, Newton's 3 laws, inertia, mass, momentum p=mv, F=ma, Gravitation: Universal Law, g, mass vs weight, free fall, gravitational units
Unit 4
Fluids — Pressure and Buoyancy
Thrust and pressure, p=hρg, Pascal's law, atmospheric pressure, buoyancy, Archimedes' Principle, Relative Density, floatation principle (ρ₁/ρ₂ = V₂/V₁)
Unit 5
Heat and Energy
Heat vs temperature, anomalous expansion of water (0-10°C), Hope's experiment, energy flow and laws of thermodynamics, renewable vs non-renewable energy sources, Global Warming and Greenhouse Effect — meaning, causes, impact
Unit 6
Light — Reflection and Mirrors
Laws of reflection, plane mirrors (parallel and perpendicular), spherical mirrors (concave/convex), focal length f=R/2, ray diagrams for all positions, mirror formula (no derivation), uses of mirrors
Unit 7
Sound
Nature and propagation of sound, V=fλ, effect of temperature and medium on speed, infrasonic/sonic/ultrasonic, applications of ultrasound, difference between ultrasonic and supersonic
Unit 8 · NEW ✨
Electricity and Magnetism
Electric cell, current as rate of charge flow, potential difference V=W/q, open and closed circuits, insulators and conductors. Induced magnetism, magnetic field of earth, neutral points, magnetic field lines, electromagnets. New unit added in 2026-27
Ch.1
The Language of Chemistry
Chemical symbols (IUPAC), formulae of common compounds, valency, balancing chemical equations, word equations and formula equations
Ch.2
Chemical Changes and Reactions
Physical vs chemical changes, types of reactions (combination, decomposition, displacement, double displacement), exothermic and endothermic
Ch.3
Water
Hard and soft water, temporary and permanent hardness, methods of softening, water as a solvent, heavy water (D₂O)
Ch.4
Atomic Structure and Chemical Bonding
Bohr's model, electronic configuration, ionic bonding (electron transfer), covalent bonding (electron sharing), properties of ionic vs covalent compounds, Lewis dot structures
Ch.5
The Periodic Table
Historical development (Dobereiner, Newlands, Mendeleev), Modern Periodic Table, periodicity: atomic radius, ionisation energy, electronegativity, metallic character
Ch.6
Study of the First Element — Hydrogen
Position in periodic table, preparation (Bosch process, electrolysis), physical and chemical properties, reducing nature, uses, isotopes of hydrogen
Ch.7
Atmospheric Pollution
Air pollution — causes (burning fuels, industries), pollutants (CO, SO₂, NO₂, particulates), effects on health and environment, greenhouse gases, ozone layer depletion, acid rain, control measures
Unit 1
Cell — The Basic Unit of Life
Cell as structural and functional unit, prokaryotic vs eukaryotic, plant vs animal cell, organelles (nucleus, mitochondria, chloroplast, ER, Golgi, vacuoles, plasma membrane, cell wall), osmosis, permeability
Unit 2
Tissues — Plant and Animal
Meristematic tissues (apical, lateral, intercalary), permanent tissues (parenchyma, collenchyma, sclerenchyma, xylem, phloem), animal tissues (epithelial, connective, muscular — striated/smooth/cardiac, nervous)
Unit 3
The Flower
Parts of a flower and their functions, types of flowers (complete/incomplete, bisexual/unisexual), inflorescence, floral formula basics
Unit 4
Pollination and Fertilisation
Self vs cross pollination, agents (wind, water, insects, animals), adaptations, fertilisation in flowering plants, double fertilisation, development of seed and fruit
Unit 5
Seeds — Structure and Germination
Structure of monocot and dicot seeds, conditions for germination (water, air, temperature), types (epigeal, hypogeal), role of cotyledons, seed dispersal mechanisms
Unit 6
Respiration in Plants
Aerobic and anaerobic respiration, gaseous exchange in plants (stomata, lenticels), comparison of respiration and photosynthesis, Kreb's cycle (overview), fermentation
Unit 7
Economic Importance of Bacteria and Fungi
Useful bacteria (nitrogen fixation, decomposition, dairy, medicines), harmful bacteria (diseases). Useful fungi (yeast in baking/brewing, antibiotics), harmful fungi (diseases, food spoilage)
English Language
Comprehension (Unseen Passage)
Reading comprehension of ~500-word passage: word meanings, antonyms from passage, 5 questions for inference, 1 language question (e.g. voice transformation)
English Language
Letter Writing
Choice between formal and informal letter. Formal: complaint, request, official. Informal: to friend/relative. Total 10 marks.
English Language
Grammar
Transformation of sentences, synthesis (combining sentences), agreement of verb with subject, question tags, word formation/derivatives, tenses and sequence of tenses
Literature — Prose
Treasure Chest — Short Stories
Prescribed short stories: comprehension, character analysis, themes, vocabulary — detailed study of all prescribed stories
Literature — Poetry
Treasure Chest — Poems
Prescribed poems: theme, rhyme scheme, figures of speech (simile, metaphor, personification, alliteration), appreciation
History · Ch.1
The Harappan Civilisation
Town planning (grid pattern, drainage, granary), trade, crafts, religion, scripts, decline theories — Aryan invasion vs climate change vs internal decay
History · Ch.2
The Vedic Period
Early Vedic (Rigvedic) society, later Vedic changes (varna system, economy, women's position), Vedic literature (Vedas, Upanishads, epics)
History · Ch.3
Jainism and Buddhism
Causes for rise, Mahavira and his teachings, Gautama Buddha and Buddhism, spread, councils, Angas and Tripitikas, Jatakas — 6th century BC context
History · Ch.4
The Mauryan Empire
Chandragupta Maurya (rise), Bindusara, Ashoka's Dhamma, edicts, Nalanda University, Aryabhatta, Kalidasa, Deogarh temple — contribution to education, science and culture
Civics · Ch.1
Our Constitution
Preamble, Fundamental Rights (Articles 12-35), Directive Principles, Fundamental Duties, Constitutional Amendments
Civics · Ch.2
Elections
Electoral process in India, Election Commission (ECI), Lok Sabha and Rajya Sabha elections, voting rights, Model Code of Conduct, role of EVM
Ch.1
Earth as a Planet
Shape, size, rotation (24 hrs, day/night, Coriolis effect), revolution (365.25 days), latitudes and longitudes, time zones, IST, International Date Line
Ch.2
Geographic Grid
Parallels of latitude (equator, tropics, polar circles), meridians of longitude (prime meridian, 180°), great circles, small circles, angular distance
Ch.3
Rotation and Revolution
Effects of rotation (day/night, tides, wind deflection), effects of revolution (seasons, varying length of day/night, equinoxes 21 Mar & 23 Sep, solstices 21 Jun & 22 Dec)
Ch.4
Structure of the Earth
Layers: crust (sial/sima), mantle (asthenosphere), outer core, inner core; composition and properties; plate tectonics basics; types of rocks (igneous, sedimentary, metamorphic)
Ch.5
Landforms
Mountains (fold, block, volcanic), plateaus (dissected, lava), plains (alluvial, glacial, coastal); rivers and their work (erosion, transportation, deposition); delta, meanders, ox-bow lakes
Ch.6
Earthquakes and Volcanoes
Causes of earthquakes (seismic waves P, S, L), Richter scale, effects; volcanism (intrusive and extrusive), types of volcanoes (shield, cinder cone, composite), Ring of Fire
Ch.7
Weathering and Denudation
Physical/mechanical weathering (frost, thermal expansion), chemical weathering (oxidation, carbonation, hydration), biological weathering; mass movement (landslides)
Ch.8
Hydrosphere
Distribution of water, ocean floor features (continental shelf, slope, abyssal plain, trenches), ocean currents (warm and cold), tides (spring, neap), importance of oceans
Ch.9–11
Atmosphere — Composition, Insolation and Climate
Layers (troposphere to exosphere), composition; insolation (factors affecting), temperature distribution; Torrid/Temperate/Frigid zones; importance of lines of latitude