Comprehensive Master Editorial Notes & Exam Practice Kits designed for 100/100 ICSE Examination Success (M.L. Aggarwal Reference Curriculum).
Rational numbers, representation on number line, irrational numbers, surds, properties of surds, and rationalisation of denominators.
Compound interest without formula (year by year) and using formula, population growth, depreciation, and inverse problems.
Algebraic identities, expansion of (a±b)², (a±b)³, (a+b+c)², special products, and applications in numerical evaluations.
Factorisation by grouping, difference of two squares, splitting the middle term in quadratic trinomials, and sum/difference of two cubes.
Solving simultaneous linear equations in two variables by substitution, elimination by equating coefficients, cross-multiplication, and reciprocal methods.
Word problems on two-digit numbers, fractions, ages, geometry, speed-distance-time, upstream/downstream river boats, and commercial charges.
Laws of indices for positive, fractional, zero, and negative powers, solving exponential equations, and index simplifications.
Definition of logarithm, conversion between exponential and logarithmic forms, laws of logarithms, change of base theorem, and evaluation.
Congruence criteria (SAS, ASA, SSS, RHS), properties of isosceles and equilateral triangles, and angle-side inequality relations.
Mid-Point Theorem, Converse of Mid-Point Theorem, Intercept Theorem, equal intercepts on transversals, and geometric proofs.
Pythagoras theorem proof, converse of Pythagoras theorem, Pythagorean triplets, and application in 2D geometric problems.
Sum of interior and exterior angles of polygons, properties of parallelograms, rectangle, rhombus, square, and trapezium proofs.
Parallelograms on same base and between same parallels, triangles on same base and between same parallels, and median area division.
Chords, perpendicular from centre to chord, equal chords, arc subtended angles, cyclic quadrilaterals, and circle theorems.
Area of plane figures (triangles, quadrilaterals, circles), surface area and volume of cube, cuboid, and 3D solids.
Definitions of sin, cos, tan, cosec, sec, cot, reciprocal relations, quotient relations, and fundamental trigonometric identities.
Values of trigonometric ratios for 0°, 30°, 45°, 60°, 90°, complementary angles sin(90°-θ)=cosθ, and evaluation problems.
Cartesian plane, coordinates of a point, distance formula between two points, section formula, mid-point formula, and plotting.
Collection and presentation of data, frequency distribution, cumulative frequency, mean of ungrouped data, and graphical representations.
VARDAAN COMET