UP JEECUP

Real Numbers (Class 10)

Euclid's division lemma, fundamental theorem of arithmetic, irrational numbers, decimal expansions.

Polynomials (Class 10)

Zeroes of polynomials, relationship between zeroes and coefficients, division algorithm.

Pair of Linear Equations in Two Variables (Class 10)

Graphical and algebraic methods — substitution, elimination, cross-multiplication.

Quadratic Equations (Class 10)

Standard form, factorization, completing the square, quadratic formula, discriminant, nature of roots.

Arithmetic Progressions (Class 10)

nth term, sum of n terms, applications in real-life problems.

Triangles (Class 10)

Similar triangles, Basic Proportionality Theorem, Pythagoras theorem and converse, area ratios.

Coordinate Geometry (Class 10)

Distance formula, section formula, area of triangle, slope of line.

Introduction to Trigonometry (Class 10)

Trigonometric ratios, ratios of specific angles, ratios of complementary angles, identities.

Applications of Trigonometry (Class 10)

Heights and distances using angles of elevation and depression.

Circles (Class 10)

Tangent to a circle, number of tangents from an external point, properties of tangents.

Constructions (Class 10)

Division of line segment, construction of triangles and tangents to a circle.

Areas Related to Circles (Class 10)

Area of sector and segment, areas of combinations of plane figures.

Surface Areas and Volumes (Class 10)

Cuboid, cylinder, cone, sphere, hemisphere, frustum — combinations and conversions.

Statistics (Class 10)

Mean, median, mode of grouped data, cumulative frequency curves (ogives).

Probability (Class 10)

Classical definition, simple problems on coins, dice, cards.

Number Systems (Class 9)

Rational and irrational numbers, real numbers on number line, laws of exponents for real numbers.

Polynomials (Class 9)

Remainder theorem, factor theorem, factorization, algebraic identities.

Linear Equations in Two Variables (Class 9)

Solution of linear equation, graph of linear equation, equations of lines parallel to axes.

Coordinate Geometry — Basics (Class 9)

Cartesian system, plotting points in plane.

Lines and Angles (Class 9)

Pairs of angles, parallel lines and transversal, angle sum property of triangle.

Quadrilaterals (Class 9)

Properties of parallelogram, mid-point theorem and converse.

Areas of Parallelograms and Triangles (Class 9)

Figures on same base and between same parallels, area theorems.

Circles (Class 9)

Equal chords, perpendicular from centre, angle subtended by arc, cyclic quadrilaterals.

Heron's Formula (Class 9)

Area of triangle using Heron's formula, application to quadrilaterals.

Surface Areas and Volumes (Class 9)

Cuboid, cube, right circular cylinder, cone, sphere — formulas and applications.

Statistics (Class 9)

Collection and presentation of data, bar graph, histogram, frequency polygon, mean, median, mode.

Light — Reflection and Refraction (Class 10)

Spherical mirrors, mirror formula, refraction through lenses, lens formula, magnification.

Human Eye and Colourful World (Class 10)

Power of accommodation, defects of vision, dispersion through prism, atmospheric refraction, scattering.

Electricity (Class 10)

Electric current, potential difference, Ohm's law, resistance, series/parallel combinations, heating effect.

Magnetic Effects of Electric Current (Class 10)

Magnetic field of current, force on conductor, electromagnetic induction, electric motor and generator.

Sources of Energy (Class 10)

Conventional and non-conventional sources, biomass, solar, wind, nuclear, environmental concerns.

Motion (Class 9)

Distance, displacement, speed, velocity, acceleration, equations of uniformly accelerated motion, graphs.

Force and Laws of Motion (Class 9)

Newton's three laws of motion, momentum, conservation of momentum, action-reaction pairs.

Gravitation (Class 9)

Universal law of gravitation, free fall, mass and weight, thrust and pressure, buoyancy, Archimedes' principle.

Work and Energy (Class 9)

Work done by force, kinetic energy, potential energy, conservation of energy, power, commercial unit of energy.

Sound (Class 9)

Production and propagation of sound, longitudinal and transverse waves, reflection, echo, ultrasound, SONAR.

Chemical Reactions and Equations (Class 10)

Types of reactions — combination, decomposition, displacement, redox; oxidation and reduction.

Acids, Bases and Salts (Class 10)

Properties, pH scale, neutralisation, common salts (NaCl, Na2CO3, NaHCO3, plaster of Paris).

Metals and Non-Metals (Class 10)

Physical and chemical properties, reactivity series, ionic compounds, occurrence and extraction.

Carbon and its Compounds (Class 10)

Covalent bonding, allotropes, hydrocarbons, functional groups, soaps and detergents, ethanol, ethanoic acid.

Periodic Classification of Elements (Class 10)

Mendeleev's and modern periodic table, trends — atomic size, valency, metallic character.

Matter in Our Surroundings (Class 9)

States of matter, change of state, latent heat, evaporation, factors affecting evaporation.

Is Matter Around Us Pure (Class 9)

Mixtures, solutions, suspensions, colloids, separation techniques, physical and chemical changes.

Atoms and Molecules (Class 9)

Laws of chemical combination, atomic and molecular mass, mole concept, formula writing.

Structure of the Atom (Class 9)

Thomson, Rutherford, Bohr models, valence electrons, isotopes, isobars, electronic configuration.