NSTSE

Real Numbers

Euclid's division lemma, fundamental theorem of arithmetic, irrationals, decimals.

Polynomials

Zeroes, relationship with coefficients, division algorithm, factor theorem.

Linear Equations in Two Variables

Algebraic and graphical methods, consistency, applications.

Quadratic Equations

Roots, discriminant, nature of roots, real-life applications.

Arithmetic Progression

nth term, sum of n terms, applied progression problems.

Coordinate Geometry

Distance, section formula, area of triangle in coordinate plane.

Triangles

Similarity, BPT, areas of similar triangles, Pythagoras applications.

Circles

Tangent properties, number of tangents from external point, related theorems.

Constructions

Division of a line segment, tangents to a circle, similar triangle constructions.

Trigonometry

Ratios, identities, applications in heights and distances.

Mensuration

Surface area and volume of combinations of solids, conversion of solids.

Statistics

Mean, median, mode of grouped data, ogives, relationship between measures.

Probability

Classical probability, simple events, dice, cards and coins.

Motion

Kinematics in one dimension, motion graphs, equations of uniform acceleration.

Force and Laws of Motion

Newton's laws, momentum and impulse, application problems.

Gravitation

Universal law, free fall, mass/weight, pressure, buoyancy, Archimedes.

Work, Energy and Power

Work-energy theorem, KE/PE, conservation, mechanical power.

Sound

Wave parameters, longitudinal vs transverse, reflection, ultrasound.

Light — Reflection and Refraction

Mirrors, lenses, sign convention, ray diagrams, image formation.

Human Eye and Colourful World

Vision defects, prism dispersion, atmospheric refraction phenomena.

Electricity

Ohm's law, resistance combinations, electrical power and heating.

Magnetic Effects of Current

Magnetic fields, motor, generator, electromagnetic induction basics.

Matter

States, physical/chemical changes, evaporation and latent heat.

Atoms and Molecules

Laws of chemical combination, mole concept, molar mass, formulae.

Structure of the Atom

Sub-atomic particles, atomic models, electron configuration, isotopes.

Chemical Reactions and Equations

Types of reactions, balancing, redox, oxidation states.

Acids, Bases and Salts

pH, indicators, common salts, manufacturing of NaOH, bleaching powder.

Metals and Non-Metals

Reactivity series, extraction of metals, refining, alloys, corrosion.

Carbon and its Compounds

Bonding, hydrocarbons, isomerism, functional groups, soaps.

Periodic Classification

Modern periodic table, periodic trends — atomic size, electronegativity.

Cell — Fundamental Unit of Life

Cell theory, organelles, prokaryotic/eukaryotic differences.

Tissues

Plant and animal tissues, structure-function relationship.

Diversity in Living Organisms

Five-kingdom classification, taxonomic hierarchy.

Life Processes

Nutrition, respiration, transportation, excretion in plants and animals.

Control and Coordination

Nervous system, hormones, plant movements and tropisms.

Reproduction

Asexual/sexual reproduction in plants and humans, reproductive health.

Heredity and Evolution

Mendelian inheritance, sex determination, evolutionary evidence.

Natural Resources and Environment

Cycles in nature, ecosystems, pollution, conservation, food chains.

Health and Disease

Communicable/non-communicable diseases, immunity and vaccines.

Number and Letter Series

Identifying patterns and finding the missing/next term.

Analogy and Classification

Word, number, letter and figure analogies; odd-one-out.

Coding-Decoding

Letter-letter, letter-number, conditional and substitution coding.

Direction Sense

Compass-based movement, shortest distance, final direction.

Blood Relations

Family tree problems, generation-based relationships.

Puzzles and Seating Arrangement

Linear/circular arrangement, calendar, clock-based problems.

Data Sufficiency

Determining whether given statements suffice to answer a question.

Critical Thinking

Logical/inductive reasoning, decision-making, subjective and objective analysis.

Scientific Reasoning Application

Applying PCB concepts to novel real-world contexts and experiments.