APJEE Syllabus 2027: Subject-Wise Topics, Topic-Wise Weightage and PDF Download

Uniform and non-uniform motion, speed, velocity, acceleration, equations of uniformly accelerated motion, distance–time and velocity–time graphs, circular motion.

Newton’s three laws of motion, inertia, momentum, law of conservation of momentum, friction (types and factors), applications of Newton’s laws.

Universal law of gravitation, gravitational force, acceleration due to gravity (g), mass vs. weight, free fall, Archimedes’ principle, buoyancy, floatation.

Work done by a constant force, kinetic and potential energy, law of conservation of energy, power, commercial unit of energy (kWh).

Production and propagation of sound, longitudinal and transverse waves, wave parameters (frequency, wavelength, amplitude, speed), reflection of sound, echo, SONAR, human ear.

Laws of reflection, plane and spherical mirrors, mirror formula, refraction laws (Snell’s law), refractive index, total internal reflection, lenses (convex and concave), lens formula, power of a lens, human eye, defects and corrections.

Electric charge and current, potential difference (EMF), Ohm’s law, resistance and resistivity, series and parallel circuits, Joule’s heating effect, electric power, domestic electric circuits, safety devices (fuse, earthing).

Oersted’s experiment, magnetic field and field lines, force on a current-carrying conductor, electric motor, electromagnetic induction, Faraday’s experiment, electric generator, AC vs. DC, domestic power supply.

Conventional sources (fossil fuels, thermal power, hydroelectric, biomass), non-conventional sources (solar, wind, tidal, nuclear), comparison of energy sources, environmental impact.

States of matter (solid, liquid, gas), interconversion, evaporation, sublimation, diffusion, Brownian motion, effect of temperature and pressure on states of matter.

Pure substances vs. mixtures, homogeneous and heterogeneous mixtures, solutions (solute, solvent, concentration), separation techniques (evaporation, distillation, centrifugation, chromatography), compounds vs. elements.

Laws of chemical combination, atomic mass, molecular mass, mole concept, Avogadro’s number, chemical formulas, valency, polyatomic ions, writing chemical formulas.

Discovery of electrons, protons, and neutrons; Thomson, Rutherford, and Bohr atomic models; atomic number and mass number; isotopes and isobars; shell distribution (2, 8, 8 rule); valence electrons.

Types of chemical reactions (combination, decomposition, displacement, double displacement, oxidation-reduction), balancing chemical equations, effects of oxidation in everyday life (corrosion, rancidity).

Properties and uses of acids and bases, pH scale, neutralisation reaction, strong and weak acids/bases, salts (preparation, properties), water of crystallisation, pH in everyday life (soil, tooth decay, antacids).

Physical and chemical properties of metals and non-metals, reactivity series, ionic bonding, formation of metal oxides, corrosion (rusting and prevention), extraction of metals (ores, roasting, reduction, refining).

Bonding in carbon (covalent), allotropes of carbon, homologous series, IUPAC nomenclature, functional groups, chemical properties of carbon compounds (combustion, oxidation, substitution, addition), soaps and detergents.

Dobereiner’s triads, Newlands’ octaves, Mendeleev’s periodic law and table, Modern periodic table, periods and groups, trends in atomic size, metallic character, valency, and reactivity across periods and groups.

Rational and irrational numbers, real numbers on the number line, laws of exponents for real numbers, decimal expansions, representation of surds, rationalization of denominators.

Degree of a polynomial, zeroes of polynomial, Remainder theorem, Factor theorem, algebraic identities (a+b)², (a−b)², (a+b+c)², (a³+b³), factorisation using identities.

Linear equation in two variables, graphical representation, infinite solutions, equations of lines parallel to axes, real-life word problems on linear equations.

Congruence of triangles (SSS, SAS, ASA, RHS), properties of triangles, inequalities in a triangle, properties of quadrilaterals (parallelogram, rhombus, rectangle), mid-point theorem.

Collection and presentation of data (frequency tables, bar graphs, histograms, frequency polygons), mean, median, mode of ungrouped data, probability — empirical approach.

Euclid’s division lemma, Fundamental Theorem of Arithmetic, irrational numbers (proofs), decimal representations of rational numbers (terminating and non-terminating recurring).

Geometrical meaning of zeroes, relationship between zeroes and coefficients of quadratic polynomials, division algorithm for polynomials.

Graphical and algebraic methods for solving pairs of linear equations (substitution, elimination, cross-multiplication), quadratic equations (factorisation, completing the square, quadratic formula), nature of roots (discriminant), word problems.

AP definition, general term formula (aₙ = a + (n−1)d), sum of first n terms (Sₙ), finding unknown terms, real-life applications of AP.

Similarity of triangles (AA, SSS, SAS), Basic Proportionality Theorem, Pythagorean theorem (proof and converse), tangent to a circle, number of tangents from an external point.

Trigonometric ratios (sin, cos, tan, sec, cosec, cot), values for standard angles (0°, 30°, 45°, 60°, 90°), trigonometric identities, applications of trigonometry (heights and distances, angle of elevation and depression).

Surface area and volume of cube, cuboid, cylinder, cone, sphere, hemisphere; area related to circles (sector, segment); combination of solid shapes; frustum of a cone.

Mean, median, and mode of grouped data (all three methods), cumulative frequency graph (ogive), probability — classical approach, complementary events, simple word problems on probability.