: Books like Self-Help to ICSE Mathematics 9 provide step-by-step solutions for textbooks by A. Das Gupta and B. Nirmala Shastry .
| Unit | Chapter Name | Key Topics | |------|--------------|-------------| | 1 | Rational and Irrational Numbers | Surds, rationalisation, real numbers | | 2 | Compound Interest | Without formula, with formula, growth & depreciation | | 3 | Expansions | (a ± b)², (a ± b)³, (x ± y)(x ∓ y) | | 4 | Factorisation | Factor theorem, remainder theorem, cubic expressions | | 5 | Simultaneous Linear Equations | Cross-multiplication, word problems | | 6 | Indices/Exponents | Laws of indices, solving exponential equations | | 7 | Logarithms | Introduction, laws, characteristic & mantissa | | 8 | Triangles | Congruence, inequalities, mid-point theorem | | 9 | Pythagoras Theorem | Proofs and applications | | 10 | Rectilinear Figures | Parallelogram, rectangle, square, rhombus | | 11 | Area Theorems | Parallelograms on same base and between parallels | | 12 | Circle | Chord properties, arc & angle properties | | 13 | Statistics | Mean, median, mode, frequency polygon, histogram | | 14 | Mensuration | Surface area & volume of cube, cuboid, cylinder | | 15 | Trigonometry (Intro) | Trigonometric ratios, simple identities | | 16 | Coordinate Geometry | Cartesian plane, distance formula, slope |
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