Worksheets › Class 12
Class 12 CBSE worksheets
Chapter-wise practice for Class 12, following the NCERT book. Each chapter page shows sample questions with answers.
Mathematics
Relations and Functions
Reflexive, symmetric and transitive relations, equivalence classes, one-one and onto functions, composition, inverses
Inverse Trigonometric Functions
Principal values, branches, sin⁻¹(sin θ), compositions, tan⁻¹ a + tan⁻¹ b
Matrices
Order, operations, products, transpose, symmetric and skew-symmetric parts, word problems
Determinants
Values, area of a triangle, minors and cofactors, adjoint and inverse, solving equations
Continuity and Differentiability
Continuity, chain rule, implicit, logarithmic and parametric derivatives, second derivatives
Application of Derivatives
Rates of change, increasing and decreasing, tangents and normals, maxima and minima
Integrals
Standard integrals, substitution, partial fractions, by parts, definite integrals and their properties
Application of Integrals
Areas under curves: parabolas, lines, circles and ellipses
Differential Equations
Order and degree, separable, homogeneous and linear equations, growth and decay
Vector Algebra
Magnitude, unit vectors, section formula, scalar and vector products, projections, areas
Three Dimensional Geometry
Direction cosines, lines in vector and Cartesian form, angles, shortest distance, foot of a perpendicular
Linear Programming
Feasible regions, corner points, maximising and minimising, word problems
Probability
Conditional probability, independent events, Bayes' theorem, random variables and their mean
Physics
Electric Charges and Fields
Coulomb's law, electric field, dipoles, flux and Gauss's law
Electrostatic Potential and Capacitance
Potential, potential energy, capacitors in series and parallel, dielectrics, energy stored
Current Electricity
Resistivity, cells, Kirchhoff's rules, Wheatstone bridge and metre bridge, power
Moving Charges and Magnetism
Magnetic force, circular motion, Biot–Savart and Ampere fields, torque on a coil, ammeters and voltmeters
Magnetism and Matter
Bar magnets, torque and energy in a field, magnetisation, dia-, para- and ferromagnetism
Electromagnetic Induction
Flux, Faraday's and Lenz's laws, motional emf, self- and mutual inductance, generators
Alternating Current
rms values, reactance, impedance, resonance, power factor, transformers
Electromagnetic Waves
Displacement current, c = fλ, E₀/B₀ = c, the electromagnetic spectrum and its uses
Ray Optics and Optical Instruments
Mirror and lens formulas, refraction, total internal reflection, prisms, microscopes and telescopes
Wave Optics
Young's double slit, fringe width, single-slit diffraction, Malus's law, Brewster angle
Dual Nature of Radiation and Matter
Photoelectric effect, work function, stopping potential, photons, de Broglie wavelength
Atoms
Rutherford scattering, Bohr orbits and energies, hydrogen spectrum series
Nuclei
Nuclear size and density, mass defect, binding energy, fission and fusion
Semiconductor Electronics
Intrinsic and doped semiconductors, carrier concentrations, p-n junctions, diodes, rectifiers
Chemistry
Solutions
Concentration terms, Raoult's and Henry's laws, colligative properties, van't Hoff factor
Electrochemistry
Cell emf, ΔG°, Nernst equation, conductivity, Kohlrausch, electrolysis, batteries and corrosion
Chemical Kinetics
Rate laws, order, zero- and first-order reactions, half-life, Arrhenius equation
The d- and f-Block Elements
Configurations, oxidation states, magnetic moments, colour, KMnO₄ and K₂Cr₂O₇, lanthanoids
Coordination Compounds
Ligands, naming, oxidation state and coordination number, isomerism, VBT and crystal field theory
Haloalkanes and Haloarenes
Naming and classes, SN1 and SN2, elimination, Wurtz and other named reactions, boiling points
Alcohols, Phenols and Ethers
Naming, Lucas test, oxidation and dehydration, acidity of phenols, Williamson synthesis, ether cleavage
Aldehydes, Ketones and Carboxylic Acids
Tollens', Fehling's and iodoform tests, aldol and Cannizzaro, named reductions, acid strength, esters
Amines
Naming and classes, basic strength, Hinsberg and carbylamine tests, diazonium salts, Hoffmann bromamide
Biomolecules
Carbohydrates, proteins and peptides, vitamins, DNA and RNA: base pairing, mRNA and hydrogen bonds
Biology
Sexual Reproduction in Flowering Plants
Pollen and embryo sac, pollination, double fertilisation, endosperm ploidy, seeds and fruits
Human Reproduction
Gametogenesis counts, menstrual cycle and hormones, fertilisation to birth, sex determination
Reproductive Health
Contraceptive methods, STIs, MTP, infertility and assisted reproductive technologies
Principles of Inheritance and Variation
Monohybrid and dihybrid ratios, test cross, ABO groups, sex-linked crosses, disorders
Molecular Basis of Inheritance
Base pairing and Chargaff's rule, DNA length, transcription, codons and translation
Evolution
Hardy–Weinberg frequencies, natural selection, homologous and analogous organs, human evolution
Human Health and Disease
Pathogens and how they spread, the Plasmodium life cycle, immunity, antibody counts, cancer, drugs
Microbes in Human Welfare
Microbes and their products, sewage treatment and BOD, fermentation yields, biogas, biocontrol
Biotechnology: Principles and Processes
Restriction sites and sticky ends, palindromes, fragment sizes, PCR copies, pBR322 selection
Biotechnology and its Applications
Bt crops and cry genes, RNAi, recombinant insulin, gene therapy, transgenic animals, ethics
Organisms and Populations
Adaptations, birth and death rates, density, exponential and logistic growth, interactions
Ecosystem
Productivity, decomposition, the 10 per cent law, trophic levels and ecological pyramids
Biodiversity and its Conservation
Levels and patterns of biodiversity, species–area relationship, the evil quartet, conservation
English
Synonyms and Antonyms
Words with the same and opposite meanings, pairing words, using them in sentences
Words in Context
Working out meanings from a sentence, choosing the right word, filling blanks from a box
Prefixes and Suffixes
What prefixes and suffixes mean, splitting words into root and affix, making opposites
Commonly Confused Words
Pairs that look or sound alike: affect and effect, principal and principle, eminent and imminent
One-word Substitution
One word for a phrase: a person who cannot read, a speech made without preparation
Idioms and Phrasal Verbs
Common idioms and phrasal verbs, their meanings and use in sentences
Tenses
Choosing the right tense from the time words, verb forms, negatives and questions
Active and Passive Voice
Changing sentences between active and passive in every tense, commands, notices
Reported Speech
Statements, questions and commands; tense, pronoun and time-word changes
Reading Comprehension
Unseen passages: surveys, journeys, notices, weather reports and stories, with computed answers
Writing
Notices, messages, diary entries, letters, emails, stories, articles and invitations, with model answers