Mathematics

This is a complete, free study companion for Mathematics — built around what the exam actually asks. The topics examiners repeat most are Simplification using laws of exponents, Simple Interest calculation, and Mean of grouped data. The syllabus runs to 24 chapters. Below you'll find the full topic-frequency ranking, the exam paper pattern, every chapter, a step-by-step study plan, and the official downloads — everything in one place.

Everything here is free. We're an independent student resource, not the official ICSE & ISC body, so always confirm the current syllabus and exam dates on the official ICSE & ISC website before you rely on them.

Key information

Level: Class 9
Exam: School Based Examination
Conducted by: Council for the Indian School Certificate Examinations (CISCE)

Frequently examined topics: Simplification using laws of exponents, Simple Interest calculation, Mean of grouped data, Volume of solids (cylinder/sphere), Linear equations solving, Profit and Loss percentage, Algebraic identity expansion, Trigonometric ratios values, Congruency of triangles, Parallelogram properties, Circle theorems, Compound Interest formula.

What you will study (chapters)

Chapter 1: Rational and Irrational Numbers
Chapter 2: Exponents and Laws of Indices
Chapter 3: Logarithms
Chapter 4: Profit, Loss and Discount
Chapter 5: Simple Interest
Chapter 6: Compound Interest
Chapter 7: Algebraic Expressions and Expansions
Chapter 8: Factorisation of Algebraic Expressions
Chapter 9: Linear Equations in One Variable
Chapter 10: Simultaneous Linear Equations
Chapter 11: Basic Concepts and Constructions
Chapter 12: Triangles and Congruency
Chapter 13: Midpoint Theorem
Chapter 14: Quadrilaterals
Chapter 15: Circles
Chapter 16: Area of Plane Figures
Chapter 17: Surface Area and Volume of Solids
Chapter 18: Trigonometric Ratios
Chapter 19: Trigonometric Identities
Chapter 20: Cartesian Coordinate System
Chapter 21: Plotting Points and Graphs
Chapter 22: Collection and Organisation of Data
Chapter 23: Mean, Median and Mode
Chapter 24: Graphical Representation of Data

How to study Mathematics and score well

Start with the highest-frequency topics — In Mathematics, Simplification using laws of exponents, Simple Interest calculation, Mean of grouped data, and Volume of solids (cylinder/sphere) appear again and again in past papers. Master these first — they return the most marks for the time you put in.
Practise with previous-year papers — Solve the last 5–10 years of ICSE & ISC Mathematics papers under timed, exam-like conditions. Past papers show exactly which topics repeat and how questions are worded.
Revise actively, not passively — Write a one-page summary for each of the 24 chapters — key definitions, formulas and the points examiners reward — then re-test yourself instead of re-reading.
Mark your answers with the official scheme — After each practice paper, score yourself against the official marking scheme. It shows how marks are awarded step-by-step, so you learn to present answers the way examiners expect.

Exam tips: how to score higher in Mathematics

Where students lose marks: rushing the high-weightage questions, skipping the steps the marking scheme rewards, and saving easy sections for last. Read the whole paper first, attempt your strongest section early to bank marks, and always show your working.

Manage your time: split your time in proportion to the marks each section carries, keep a few minutes at the end to check, and never leave a question blank — a partial, structured answer still earns partial marks.

Frequently asked questions

What are the most important topics in Mathematics?

Based on past papers, the most frequently asked topics include Simplification using laws of exponents, Simple Interest calculation, Mean of grouped data. The full ranked list with how often each appears is in the "Most important topics" section above.

Where can I download Mathematics previous-year question papers?

Official ICSE & ISC previous-year question papers are available on the official ICSE & ISC website. Open the Question Papers section for the direct link, plus the exam pattern and the topics that repeat most.

How can I prepare for Mathematics faster?

Start with the highest-frequency topics, learn the exam pattern so you know how each section is marked, and practise with past papers. A subject-aware study tutor can quiz you on exactly these topics.

A Gyani AI tutor trained on the Mathematics syllabus and past papers can quiz you on the most-asked topics and show you exactly what to revise.