Sequencing ideas in a paragraph; sequencing words in a sentence; sentence completion; Rephrasing a statement (without changing the original meaning); Reading, comprehension (reading for specific information, inferring, guessing meaning of unknown words/understanding implied meaning); use of synonyms and antonyms; Factual Inscription (position, shape, size, material, area, landscape, climate, appearance, dress etc. or understanding/expressing what things are like); Factual narrative (chronological sequence); and Letter/Notice/ Advt./Poster/ Telegram writing (with blanks to be completed) or comprehension exercises based on these items.

Mathematics
Algebra: Algebra of complex numbers, cube roots of unity. Theory of quadratic equations, relations between roots and coefficients, quadratic expressions. Arithmetic, Geometric and Harmonic progressions, Arithmetic-geometric series. Sum of squares and cubes of first natural numbers. Notion of set, set operations, Cartesian product of sets , Venn diagram, relation, binary operations, mapping, Mathematical induction and its applications. Permutation and Combination, Binomial theorem for positive integral index.
Determinants of order two and three, properties, Matrix algebra, solution of simultaneous linear equations using determinants and matrix inversion. Coordinate Geometry: Two dimensional geometry. Rectangular Cartesian coordinates in two dimensions, distance between two points, locus, equations of straight line in various forms, angle between two straight lines, concurrence of two straight lines, bisectors of angles. Equations of circles, intersection of circle and straight line, tangents and normals, intersection of circles, radical axis, orthogonal circles. Equations, geometrical properties and tangents to parabola, ellipse and hyperbola. Three dimensional geometry: Distance formula, direction ratios, direction cosines, projection, equations of plane. Trigonometry: Trigonometric functions and their graphs, addition and subtraction formulae, multiple and submultiple angles, general values, inverse trigonometrical functions, logarithm, properties of triangles, solution of triangles, problems of heights and distances

Calculus: Simple algebraic and trigonometric functions with their graphs i.e. even and odd function, periodic and non-periodic function, inverse function, monotonic function, notion of limit and continuity of a function, derivative of function at a point, finding first order derivative for different types of functions.
Application of first and second order derivatives in geometry, in measuring the rate in determination of maxima and minima and in mechanics and estimation of errors, Rolle's theorem, Mean value theorem. Integration as the inverse process of differentiation, integration by parts and by substitution, integration of trigonometric function, integration by partial fraction. Simple definite integrals and determination of areas in simple cases.

Probability and Statistics: Probability, sum and product laws, conditional probability, mean, mode and median, deviation and standard deviation of variates. Binomial distribution, correlation, coefficient and regression lines.Vector Algebra: Vectors, Position Vector, Addition, Subtraction, Multiplication of two and three vectors with applications in geometry and mechanics.
Physics (3 hours: 100 marks)
General Physics: Scalars and vectors, laws of motion, conservation of energy and momentum, collisions, work and energy, sliding and rolling friction, circular motion, orbital and escape velocity, rigid body rotation, law of gravitation, moment of inertia of bodies of simple plane geometrical shape, elastic behaviour of solids, different module of elasticity and their inter-relationship, streamline flow of incompressible fluids, viscosity and Bernoulli's theorem, surface tension and its measurements.

Vibrations: Simple harmonic motion, longitudinal and transverse vibrations, progressive and stationary waves, super­imposition of two waves, beats, interference of sound and light waves, propagation of waves in solids, vibration of strings, Doppler's effect in sound and light. Heat and Thermodynamics: Calorimetry, measurement of specific heat and latent heat, expansion of gases, gas laws, adiabatic and isothermal expansion of gases, two specific heats for gases, thermal conductivity, black-body radiation and its laws (no derivation), kinetic theory of gases, derivation of gas laws, work and heat, first law of thermodynamics.
Optics: Photometry, reflection and refraction at plane and spherical surfaces, lenses, dispersion of light, spectrum and spectrometer, chromatic and achromatic aberation, microscope, telescope, eyepieces, wave theory of light.
Electricity and Magnetism: Magnetic potential and field magnetometers, magnetic induction, susceptibility, permeability, magnetic materials, dia, para and ferromagnetism, elements of earth's magnetism. Electric potential and field, condensors, magnetic effect of current, galvanometers, voltmeters and ammeters, Ohm's law and Kirchoffs laws, heating effect, thermoelectricity, electrolysis, electromagnetic induction and elements of a.c.
Modern Physics: Cathode rays, Bohr's theory of hydrogen, spectrum, X-rays, thermoionic emission, Diode and triode valves and their simple applications, photo-electric effect, natural radioactivity and atomic nucleus, elementary concept of semiconductor-intrinsic and extrinsic semiconductors, p-type and n-type semiconductors, semiconductors diode and triode.
Chemistry (3 hours: 100 marks)
Physical Chemistry
Atomic structure and Periodic properties of Elements. Electronic structure of atom (atomic spectra, Bohr model, Aufbau principal, De Broglie Relation, uncertainty principle etc).Orbitals and quantum numbers. Shapes of orbitals. Electronic configuration of atoms. Modern periodic law. Periodic trends in properties. Chemistry of Representative elements from the sands block of the periodic table. Metals, non-metals and gases.
Chemical bonds and Lewis structures. Shapes of molecules. Quantum theory of covalent bonds. Hybridization (sp, Sp2, Sp3). Resonance. Chemical Equilibrium and chemical kinetics including effect of changing conditions of systems in equilibrium (Le Chatelier's principle).
Energetics and electrochemistry: Internal energy and enthalpy. Heat of reaction, formation, combustion, neutralization, solution, fusion, vaporization and sublimation, Hess's law. First and second laws of thermodynamics. Redox reactions in aqueous solutions, electro-chemical cells. EMF of a cell. Electrochemical cells and free energy. Standard electrode potential. Quantitative aspects of electrolysis. Electrical conductivity. Some commercial Batteries. Corrosion.
Rates of Reactions. First order reaction. Colligative properties of solutions.
Surfaces and catalysis: Absorption, colloids, emulsions and Micelles, homogenous and heterogenous catalysis.
Nuclear and Radio Chemistry: Radioactive disintegration series, artificial transmutation of elements. Isotopes and their uses, radioactive dating.
Inorganic Chemistry
Chemistry of non-metals (Occurrence, isotopes preparation, properties, reactions and uses: Hydrogen, Oxygen, Water and Hydrogen Peroxide, Nitrogen, and their compounds. Boron, Silicon, Phosphorus, Sulphur, Halogens and Noble gases. Phosphatic fertilizers, Sulphuric acid, Hydrogen halides.
Chemistry of lighter metals of Sodium, Potassium, Magnesium, Calcium, Aluminium, Cement, Chemistry of Heavier Metals Iron, Copper, Silver, Gold, Zinc, Mercury, Tin and Lead. Transition metals, Electronic configuration. Inner transition elements. First row transition elements: properties of their oxides, sulphides and halides. Properties of second and third row transition elements. Preparation of Potassium dichromate and Potassium permanganate, Co-ordination chemistry, organo metallics; Nomenclature, Isomerism, bonding, stability and application of co-ordination compounds. Compounds containing metal-carbon bonds. Organo-metallic compounds. Organic Chemistry
Nomenclature of organic compounds. Structure and shapes of hydrocarbons (Alkanes, Alkenes, Alkynes, Arenes-Isomerism and Chirality).
Purification and characterisation, Purification, Quantitative analysis, Determination of molecular mass. Haloalkanes and Haloarenes, Polyhalogen compounds, Alcohols and phenols. Commercially important alcohols and phenols. Ethers, aldehydes, ketones, carboxylic acids and their derivatives. Brief description of the chemistry of carbon compounds containing nitrogen. Cyanides, Isocyanides, amines, nitro-compound.
Chemistry of synthetic, natural polymers and bimolecules: Carbohydrates, Aminoacids and peptides, proteins and enzymes. Nucleic acids and lipids. Dyes, Medicines, Polymers, Fibres, etc.