Mental Ability — 20 marks
10 topics- Pattern completion
- Figure series
- Geometrical figure completion
triangle, square and circle
- Mirror imaging
- Punched-hole pattern
folding and unfolding
- Calendar, time and clock
- Embedded figure
- Coding–decoding
- Orientation / direction
- Space visualization
English — 20 marks
2 topics- Reading skills (10 marks)
unseen discursive passage including vocabulary; case-based passage with visual information such as statistical data and charts.
- Grammar (10 marks)
tenses, modals, subject–verb concord, reported commands/requests/statements/questions, determiners, spelling and syntax. Accuracy of spelling, punctuation and grammar is assessed in context.
Mathematics — 20 marks
14 topics- Real numbers
fundamental theorem of arithmetic; irrationality of √2, √3 and √5.
- Polynomials
zeros and their relationship with coefficients of quadratic polynomials.
- Pair of linear equations in two variables
graphs, consistency, number of solutions, substitution, elimination and situational problems.
- Quadratic equations
standard form, real roots by factorisation/formula, discriminant and nature of roots, applications.
- Arithmetic progressions
nth term, sum of first n terms and applications.
- Coordinate geometry
graphs, distance formula and internal section formula.
- Triangles
similarity, proportionality theorem and its converse; AA, SSS and SAS similarity criteria as specified in the prospectus.
- Circles
tangent perpendicular to the radius at contact; equal tangents from an external point.
- Trigonometry
acute-angle ratios, standard angles, relationships and sin²A + cos²A = 1 with simple identities.
- Heights and distances
elevation/depression at 30°, 45°, 60°; problems involving no more than two right triangles.
- Areas related to circles
sectors, segments, perimeter/circumference; segment-area questions limited to central angles 60°, 90°, 120°.
- Surface areas and volumes
combinations of any two of cube, cuboid, sphere, hemisphere, right circular cylinder or cone.
- Statistics
grouped-data mean, median and mode; bimodal situations excluded.
- Probability
classical definition and simple event-probability problems.
Science — 20 marks
12 topics- Chemical reactions and equations
balancing, combination, decomposition, displacement, double displacement, precipitation, endothermic/exothermic changes and oxidation/reduction.
- Acids, bases and salts
properties, indicators, neutralisation, pH and everyday applications; sodium hydroxide, bleaching powder, baking soda, washing soda and plaster of Paris.
- Metals and non-metals
properties, reactivity, ionic compounds, basic metallurgy and corrosion prevention.
- Carbon compounds
covalent bonding, versatile carbon, homologous series, nomenclature, reactions, ethanol/ethanoic acid, soaps and detergents.
- Life processes
nutrition, respiration, transportation and excretion in plants and animals.
- Control and coordination
plant responses/hormones; nervous system, voluntary/involuntary/reflex actions and animal hormones.
- Reproduction
sexual/asexual reproduction, human reproduction, reproductive health, family planning and safe sex/HIV awareness.
- Heredity
Mendelian inheritance and sex determination. Evolution is excluded in the prospectus.
- Light
spherical mirrors/lenses, image formation, refraction, refractive index, lens power; human eye/vision defects, prism, dispersion and scattering. Sun colour at sunrise/sunset is excluded.
- Electricity
current/potential difference, Ohm’s law, resistance/resistivity, series/parallel circuits, heating and electric power.
- Magnetic effects
magnetic fields around conductors/coils/solenoids, force, Fleming’s left-hand rule, DC/AC and domestic circuits.
- Environment
ecosystems, environmental problems, ozone depletion, waste and biodegradable/non-biodegradable substances.
Social Science — 20 marks
5 topics- History
The Rise of Nationalism in Europe; Nationalism in India; The Making of a Global World; The Age of Industrialisation; Print Culture and the Modern World.
- Geography
Resources and Development; Forest and Wildlife Resources; Water Resources; Agriculture; Minerals and Energy Resources; Manufacturing Industries; Lifelines of National Economy.
- Geography exclusions
the “State of India’s Environment” box; impact of globalisation on agriculture; specified industry–market linkage and cotton/jute/sugar, iron/steel and cement industry content. See the prospectus for exact excluded text/figures.
- Democratic Politics
Power Sharing; Federalism; Gender, Religion and Caste; Political Parties; Outcomes of Democracy. The prospectus excludes specific visual items in Gender, Religion and Caste.
- Economics
Development (goals, income, comparisons, public facilities, sustainability); Sectors of the Indian Economy (primary/secondary/tertiary, organised/unorganised, public/private); Money and Credit (banks, loans, credit terms, formal credit, self-help groups); Globalisation and the Indian Economy (production, trade, integration, enabling factors, WTO, impacts and fair globalisation).
