Mathematics

This is a complete, free study companion for Mathematics — built around what the exam actually asks. The topics examiners repeat most are Operations on Large Numbers, HCF by Prime Factorisation or Division Method, and LCM by Prime Factorisation. The syllabus runs to 34 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 6
Programme: CL06
Exam: School Based Examination
Conducted by: Council for the Indian School Certificate Examinations (CISCE)

Most important topics (by past-paper frequency)

#	Topic	Times asked	Likelihood
1	Operations on Large Numbers	4	100%
2	HCF by Prime Factorisation or Division Method	4	100%
3	LCM by Prime Factorisation	4	100%
4	Divisibility Tests	4	100%
5	Addition and Subtraction of Fractions	4	100%
6	Multiplication and Division of Fractions	4	100%
7	Decimal Operations	4	100%
8	Finding Percentage of a Quantity	4	100%
9	Types of Angles	4	100%
10	Linear Pair and Vertically Opposite Angles	4	100%
11	Triangle Angle Sum Property	4	100%
12	Perimeter of Plane Figures	4	100%

Based on how often each topic appeared in official previous-year question papers.

What you will study (chapters)

Chapter 1: Number System
Chapter 2: Estimation
Chapter 3: Numbers in Indian and International Systems
Chapter 4: Place Value
Chapter 5: Natural Numbers and Whole Numbers
Chapter 6: Negative Numbers and Integers
Chapter 7: Number Line
Chapter 8: HCF and LCM
Chapter 9: Playing with Numbers
Chapter 10: Sets
Chapter 11: Ratio
Chapter 12: Proportion
Chapter 13: Unitary Method
Chapter 14: Fractions
Chapter 15: Decimal Fractions
Chapter 16: Percentage
Chapter 17: Speed, Distance and Time
Chapter 18: Fundamental Concepts of Algebra
Chapter 19: Fundamental Operations on Algebraic Expressions
Chapter 20: Substitution and Use of Brackets
Chapter 21: Framing and Evaluating Algebraic Expressions
Chapter 22: Simple Linear Equations
Chapter 23: Fundamental Concepts of Geometry
Chapter 24: Angles and Their Types
Chapter 25: Properties of Angles and Lines
Chapter 26: Triangles
Chapter 27: Quadrilaterals
Chapter 28: Polygons
Chapter 29: The Circle
Chapter 30: Symmetry
Chapter 31: Recognition of Solids
Chapter 32: Perimeter and Area of Plane Figures
Chapter 33: Data Handling with Pictographs and Bar Graphs
Chapter 34: Mean and Median

Official textbook

Mathematics — official textbook / study material — Free download from the official source.

How to study Mathematics and score well

Start with the highest-frequency topics — In Mathematics, Operations on Large Numbers, HCF by Prime Factorisation or Division Method, LCM by Prime Factorisation, and Divisibility Tests 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 34 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 Operations on Large Numbers, HCF by Prime Factorisation or Division Method, LCM by Prime Factorisation. 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.