Study with a little
more direction.

Algebra & sequencesAP, GP, HP, logarithms, complex numbers01 Polynomial equationsRoots, coefficients and quadratic expressions02 Permutation & combinationArrangements, selections and mixed problems03 Mathematical inductionProofs and divisibility04 Binomial theoremGeneral term, middle term and coefficients05 Matrices & determinantsOperations, inverse and linear systems06 Sets, relations & mappingsOperations, properties, functions and inverse07 Statistics & probabilityDispersion, conditional probability and Bayes08 TrigonometryIdentities, equations and inverse functions09 Coordinate geometryTwo-dimensional geometry and loci10 Straight linesForms, angles, distances and bisectors11 Circles & conic sectionsCircle, parabola, ellipse and hyperbola12 Three-dimensional geometryLines, planes, angles and shortest distance13 Differential calculusFunctions, limits, continuity and derivatives14 Mean value theoremsRolle, Lagrange and L’Hospital rules15 Integral calculusIndefinite and definite integrals16 Differential equationsFirst-order equations and solution methods17 Applications of calculusRates, monotonicity, maxima, minima and area18 VectorsDot, cross and scalar triple products19

Measurement & dimensionsUnits, errors, significant figures and analysis01 KinematicsMotion in one and two dimensions02 Laws of motionForces, friction and circular motion03 Work, energy & powerConservation, potential energy and collisions04 System of particles & rotationCentre of mass, torque and moment of inertia05 GravitationFields, satellites and escape velocity06 Properties of matterElasticity, fluids, surface tension and viscosity07 Heat & thermal physicsCalorimetry, heat transfer and radiation08 Thermodynamics & kinetic theoryLaws, processes and gas models09 Oscillations & wavesSHM, sound, superposition and Doppler effect10 ElectrostaticsFields, potential, Gauss’ law and capacitors11 Current electricityCircuits, cells, bridges and potentiometers12 Magnetic effects & magnetismFields, forces and magnetic materials13 Induction & alternating currentFaraday, inductance, AC circuits and transformer14 Electromagnetic wavesSpectrum and applications15 OpticsRay optics, interference, diffraction and polarisation16 Modern physicsDual nature, atoms, nuclei and radioactivity17 Solid-state electronicsSemiconductors, diodes, transistors and logic gates18

Basic concepts & mole calculationsStoichiometry, formulae and concentration01 Structure of atomQuantum numbers, orbitals and configuration02 Periodicity & classificationModern periodic table and periodic trends03 Chemical bondingLewis structures, VSEPR, hybridisation and MOT04 States of matterSolids, gases and unit cells05 Chemical thermodynamicsEnthalpy, entropy and thermodynamic laws06 EquilibriumChemical equilibrium, acids, bases and solubility07 Redox reactionsOxidation numbers and balancing08 Hydrogen & s-block elementsProperties, compounds and trends09 p-block elementsSelected group chemistry and compounds10 d- and f-block elementsTransition elements, trends and compounds11 Coordination compoundsNomenclature, bonding and isomerism12 Organic basics & hydrocarbonsIsomerism, mechanisms and aliphatic compounds13 Functional groupsHalo compounds, alcohols, carbonyls and acids14 Nitrogen compoundsAmines and diazonium salts15 Biomolecules & polymersCarbohydrates, proteins, nucleic acids and polymers16 Chemical kineticsRates, rate laws and activation energy17 Solutions & electrochemistryColligative properties, cells and electrolysis18