Chapter 1
Rational & Irrational Numbers
Distinguish between rational and irrational numbers and represent them on the number line.
The Class 9 ICSE syllabus marks the start of board-level rigour. Number systems, polynomials, coordinate geometry, Euclid's geometry, and probability form the core of this challenging year.
Last updated: 5 May 2026
The Class 9 ICSE Maths syllabus on SparkEd covers 18 chapters aligned to the latest ICSE curriculum, spanning number systems, algebra, geometry, mensuration and data and statistics. Every chapter on this page links to a topic guide with concept notes, a free PDF worksheet at three difficulty levels, and an interactive practice module with instant feedback.
Class 9 maths builds the foundation that the next year's chapters depend on, so consistent weekly practice matters more than last-minute cramming. The Class 9 ICSE syllabus marks the start of board-level rigour. Number systems, polynomials, coordinate geometry, Euclid's geometry, and probability form the core of this challenging year.
How to use this page: open a chapter's Topic Guide for the concept refresher, switch to Practice for graded questions, and download the PDF worksheet for offline use. Each chapter has around 60 questions across easy, medium, and hard sets — enough material for a full revision cycle leading up to school assessments and ICSE board-aligned tests.
Chapter 1
Distinguish between rational and irrational numbers and represent them on the number line.
Chapter 2
Solve advanced compound interest problems including growth, depreciation, and installments.
Chapter 3
Use standard algebraic identities to expand expressions and simplify complex products.
Chapter 4
Factorize polynomials using remainder theorem, factor theorem, and algebraic identities.
Chapter 5
Solve pairs of linear equations using substitution, elimination, and cross-multiplication methods.
Chapter 6
Apply laws of indices to simplify expressions with fractional and negative exponents.
Chapter 7
Understand logarithmic notation, laws of logarithms, and solve logarithmic equations.
Chapter 8
Study triangle properties including inequality, angle sum, exterior angle, and congruence criteria.
Chapter 9
Prove and apply the mid-point theorem and its converse in triangles and quadrilaterals.
Chapter 10
Prove the Pythagorean theorem and apply it to solve problems involving right triangles.
Chapter 11
Study properties and theorems of parallelograms, rectangles, rhombuses, and squares.
Chapter 17
Master ICSE circle theorems — tangent properties, chord–segment products, cyclic quadrilateral angles, and angle–subtended relationships. Class 10 board syllabus.
Chapter 13
Calculate mean, median, and mode for grouped and ungrouped data sets.
Chapter 14
Compute probability of events using sample spaces and apply addition rule.
Chapter 15
Define sine, cosine, and tangent ratios and solve problems involving right triangles.
Chapter 16
Construct angle bisectors, perpendicular bisectors, and triangles under given conditions.
Chapter 17
Calculate area of triangles using Heron's formula and area of quadrilaterals and polygons.
Chapter 18
Find surface area and volume of cylinders, cones, spheres, and hemispheres.