1
Algebra
Sets and operations, Venn diagrams, De Morgan laws, Cartesian products, relations and
equivalence; real and complex numbers, modulus, argument and cube roots of unity;
binary numbers and conversions; arithmetic, geometric and harmonic progressions;
quadratic equations; graphical linear inequalities; permutations, combinations, binomial
theorem and logarithms.
2
Matrices and
determinants
Matrix types and operations; determinants and their properties; adjoint and inverse;
systems of linear equations in two or three unknowns using matrix methods and
Cramer’s rule.
3
Trigonometry
Degrees and radians, ratios, identities, sum and difference formulae, multiple and
submultiple angles, inverse functions, properties of triangles, heights and distances.
4
Coordinate geometry:
2D and 3D
Cartesian coordinates, distance formula, straight lines, angles and point-to-line distance;
circles, parabola, ellipse, hyperbola, conic axes and eccentricity; three-dimensional
points, direction ratios and cosines, lines, planes, angles and spheres.
5
Differential calculus
Functions, domain, range, graphs, composite and inverse functions; one-to-one and onto
functions; limits and continuity; derivatives, geometrical and physical meaning, rules of
differentiation, second derivatives; increasing/decreasing functions and maxima/minima
problems.
6
Integral calculus and
differential equations
Integration as inverse differentiation; substitution and parts; standard integrals, definite
integrals and areas; order and degree of differential equations, formation,
general/particular solutions, first-order first-degree equations and growth/decay
applications.
7
Vector algebra
Two- and three-dimensional vectors, magnitude, direction, unit and null vectors; addition,
scalar multiplication, dot and cross products; work, moments and geometrical
applications.
8
Statistics and
probability
Data classification, frequency and cumulative frequency, histograms, pie charts and
frequency polygons; mean, median, mode, variance, standard deviation, correlation and
regression; sample spaces, event types, probability rules, conditional probability, Bayes
theorem, random variables and binomial distribution.

1
English – 200 marks
Grammar and usage, vocabulary, comprehension and cohesion in extended text.
Practise accurate reading, contextual word meaning and sentence structure alongside
the official syllabus.
2
Physics – about 100
marks
Matter, mass, weight, density, volume, specific gravity, Archimedes principle and
pressure; motion, Newton laws, momentum, equilibrium, gravitation, work, power and
energy; heat and temperature, sound and instruments; light, reflection, refraction,
mirrors, lenses and the eye; magnets, electricity, circuits, Ohm law, cells, electrical
power, X-rays and everyday apparatus.
3
Chemistry – about 60
marks
Physical/chemical change; elements, mixtures, compounds, symbols, formulae,
equations and combination laws; hydrogen, oxygen, nitrogen, carbon dioxide;
oxidation/reduction, acids, bases, salts, carbon forms and fertilisers; materials for
common products; atoms, valency, atomic equivalents and molecular weights.
4
General Science –
about 40 marks
Living/non-living things; cells, protoplasm and tissues; plant/animal growth and
reproduction; human organs; common epidemics and prevention; food, nutrients and
balanced diet; solar system, meteors, comets, eclipses and notable scientists.
5
History, freedom
movement and related
topics – about 80 marks
Indian history, culture and civilisation; freedom struggle; Constitution and administration;
Five-Year Plans, Panchayati Raj, cooperatives, community development, Bhoodan,
Sarvodaya, national integration, welfare state and Gandhi; Renaissance, exploration,
American independence, French/Industrial/Russian revolutions; science and society,
United Nations, Panchsheel, democracy, socialism, communism and India in world
affairs.
6
Geography – about 80
marks
Earth shape, size, origin and movements; latitude, longitude, time and date line; rocks,
weathering, earthquakes and volcanoes; oceans, tides, atmosphere, pressure, winds,
cyclones, humidity, rainfall, climate and natural regions; Indian climate, vegetation,
minerals, energy, agriculture, industries, ports, transport, imports and exports.
7
Current events – about
40 marks
Significant Indian and international developments and notable personalities, including
culture and sports. Use a regular news-reading and revision routine; coverage changes
with current events.
GAT Part B approximate distribution: Physics 25%, Chemistry 15%, General Science 10%, History etc. 20%, Geography
20%, Current Events 10%. Similar topics may also be tested; these are scope checklists.