Class 12 practice questions with worked answers

Class 12 practice by subject

• Class 12 Maths
• Class 12 Physics
• Class 12 Chemistry
• Class 12 Accountancy

Maths: Continuity and Differentiability

• Derivatives of polynomials and slope of a tangent
• Chain rule
• Continuity of piecewise functions

Maths: Integrals

• Definite integrals of polynomials
• Integration by substitution
• Integration by parts
• Properties of definite integrals

Maths: Determinants

• Evaluating 2×2 and 3×3 determinants
• Inverse of a 2×2 matrix
• Solving equations with matrices / Cramer's rule

Maths: Matrices

• Matrix multiplication

Maths: Probability

• Conditional probability and Bayes' theorem
• Binomial distribution
• Independent events and the multiplication rule
• Mean and variance of a random variable

Maths: Application of Derivatives

• Increasing and decreasing intervals
• Local maxima and minima
• Rates of change
• Tangents and normals

Maths: Application of Integrals

• Area between two curves

Maths: Differential Equations

• Variable separable differential equations
• Linear first-order differential equations

Maths: Vector Algebra

• Dot product, angle and cross product

Maths: Linear Programming

• Linear programming by corner points

Maths: Inverse Trigonometric Functions

• Principal values of inverse trigonometric functions

Maths: Three Dimensional Geometry

• Distance and direction cosines in 3D

Physics: Electric Charges and Fields

• Coulomb's law numericals
• Electric field of point charges

Physics: Electrostatic Potential and Capacitance

• Capacitors in series and parallel
• Electric potential and potential energy

Physics: Current Electricity

• EMF, internal resistance and terminal voltage
• Wheatstone and meter bridge

Physics: Moving Charges and Magnetism

• Magnetic force and circular paths
• Field of a solenoid and circular loop

Physics: Electromagnetic Induction

• Faraday's law and induced emf

Physics: Alternating Current

• Impedance and resonance in LCR circuits
• Transformers
• RMS and peak values of AC

Physics: Ray Optics

• Critical angle and total internal reflection
• Lens maker's formula
• Magnifying power of optical instruments

Physics: Wave Optics

• Young's double slit experiment

Physics: Dual Nature of Radiation and Matter

• Photoelectric effect
• de Broglie wavelength

Physics: Nuclei

• Radioactive decay and half-life
• Mass defect and binding energy

Physics: Atoms

• Bohr model energy levels

Chemistry: Solutions

• Molality and mole fraction
• Boiling point elevation and freezing point depression
• Raoult's law and vapour pressure

Chemistry: Electrochemistry

• Cell EMF and the Nernst equation
• Faraday's laws of electrolysis
• Conductivity and molar conductivity

Chemistry: Chemical Kinetics

• First-order reactions and half-life
• Arrhenius equation
• Zero-order reactions

Chemistry: d and f Block Elements

• Spin-only magnetic moment

Chemistry: Coordination Compounds

• Oxidation state and coordination number

Accountancy: Accounting for Partnership: Basic Concepts

• Interest on capital and drawings
• Valuation of goodwill

Accountancy: Admission of a Partner

• New and sacrificing ratio on admission
• Revaluation profit or loss

Accountancy: Retirement and Death of a Partner

• Gaining ratio on retirement

Accountancy: Accounting Ratios

• Current ratio and quick ratio
• Debt–equity ratio
• Inventory turnover ratio
• Gross profit and net profit ratios

Accountancy: Accounting for Share Capital

• Issue of shares: amounts due and premium
• Forfeiture and reissue of shares

Accountancy: Cash Flow Statement

• Cash from operating activities (indirect method)

Computer Science: Python Revision Tour

• Dictionary operations

Computer Science: Database Query using SQL

• SQL aggregate functions

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