ICSE Class 6 Maths Books: Chapters, Practice & PDFs
The ICSE Class 6 Maths books covered on this page run to 30 chapters — one, Number System, from the Bansal book and 29 from the Maths book. Every listed chapter has its PDF on this page, ready to open.
What those PDFs cannot show is how each chapter is built. For every chapter this page records how many main sections it runs, how many practice questions it sets and how many pages it prints — counted from the book, not from the contents page. If you are comparing subjects too, the Class 6 books hub holds the rest of the collection.
Reference: CISCE-aligned ICSE textbook material.
ICSE Class 6 Maths Books: chapter PDF downloads
Bansal
| # | Chapter | Sections | Practice questions | Pages | |
|---|---|---|---|---|---|
| 1 | Number System | 8 | 28 | 9 | Chapter 1 PDF |
Maths
ICSE Class 6 Maths Books: what is inside each chapter
Three numbers in the directory carry meaning. A section is one of the book’s own main headings — sub-headings are not counted. A practice question is a numbered item under an exercise heading. Pages are the chapter’s pages in its PDF.
Chapter 1: Number System (Bansal)
Number work opens by separating a unit, a number, a numeral and numeration, then moves to the Hindu-Arabic system of numeration. Place value (local value) and face value (true value) come next. Forming numbers from given digits — including the smallest and greatest — leads to simple divisibility tests. The exercise with the most questions is Exercise 1 (B), which sets 15.
- Introducing Unit, Number, Numeral and Numeration
- Numeral and Numeration
- Hindu-Arabic System of Numeration
- Place Value (Local value) and Face Value (True value)
- Forming Numbers Using Given Digits.
- To Form the Smallest and the Greatest Numbers Using Given Digits
and 2 more
Chapter 2: Integers (Maths)
Integers introduces the set itself and the absolute value of an integer, then compares integers so their order is clear. The four fundamental operations on integers follow. A combination of the four operations draws the rules together. The most questions land in Exercise 2 (A), with 16.
- Integers
- Absolute Value of an Integer
- Comparing Integers
- Four Fundamental Operations on Integers
- Combination of Four Fundamental Operations
Chapter 3: Number Line (Maths)
The number line appears first as a drawing for natural numbers, whole numbers and integers separately. Comparing numbers moves onto the line, and then the line becomes a working tool. Exercise 3(A), with 7 questions, holds the chapter’s deepest practice.
- Number Line
- Number Lines for Natural Numbers, Whole Numbers and Integers
- Using a Number Line to Compare Numbers
- Using a Number Line
Chapter 4: Factors and Multiples (Maths)
Chapter 4 builds the vocabulary of divisibility: factors first, then prime numbers from 1 to 100 and prime factors. The highest common factor and its methods — common factor, prime factor and division — come in the middle of the chapter. The second half turns to multiples and the lowest common multiple, with the common multiple method and the common division method among the approaches. Exercise 4(B) sets 8 questions, the same as Exercise 4(C) and the Revision Exercise.
- Factors
- Prime Numbers
- Prime Numbers from 1 to 100
- Prime Factors
- Highest Common Factor
- Methods of Finding H.C.F.
and 8 more
Chapter 5: Fractions (Maths)
After the basic concept and the types of fractions come the conversions: a mixed fraction into an improper fraction, and back. Unlike fractions become like fractions, and reducing a fraction to its lowest terms prepares for comparing fractions. The section list then runs on to fundamental operations on fractions, including combined operations and the use of ‘of’, before problems involving fractions. The most questions in the chapter sit in Exercise 5(E), with 11.
- Basic Concept
- Types of Fractions
- Converting a Mixed Fraction into an Improper Fraction
- Converting an Improper Fraction into a Mixed Fraction
- Converting Unlike Fractions into Like Fractions
- Reducing a Fraction to Its Lowest Terms
and 7 more
Chapter 6: Decimal Fractions (Maths)
Decimal fractions start from the basic concept and the number of decimal places, then like and unlike decimal numbers. Conversion runs both ways — a given fraction into a decimal fraction, and a given decimal fraction into a non-decimal fraction. Addition, subtraction, multiplication and division of decimal numbers each take a section, and word problems based on decimals follow. Exercise 6(E) carries the largest set, with 25 questions.
- Basic Concept
- Number of Decimal Places
- Like and Unlike Decimal Numbers
- Conversion of a Given Fraction into a Decimal Fraction
- Conversion of a Given Decimal Fraction into a Non-Decimal Fraction
- Addition of Decimal Numbers
and 4 more
Chapter 7: Powers and Roots (Maths)
Exponential notations with positive powers open the chapter, and the properties of exponents follow. Cubes, the cube root, its symbol and the methods of finding the cube root form the second half. Exercise 7(C) sets the most questions, at 11.
- Exponential Notations (Positive powers only)
- Properties of Exponents
- Cubes
- Cube Root
- Symbol for the Cube Root
- Methods of Finding the Cube Root
Chapter 8: Ratio (Maths)
This chapter teaches ratio first, through an important property. It then carries the proportion work for the year: continued proportion, mean proportional (or geometric mean) and third proportional. The section list then covers a second important property and the properties of ratio and proportion. The practice load sits in Exercise 8(A), which runs to 49 questions.
- An Important Property
- 6. Continued Proportion
- 7. Mean Proportional (or Geometric Mean)
- 8. Third Proportional
- 9. An Important Property
- 10. Properties of Ratio and Proportion
Chapter 9: Percentage (Maths)
Percentage starts with what percent and percentage mean, then converts a given fraction or decimal into percentage and back again. Expressing one quantity as a percentage of the other comes next, followed by finding the percentage of a given quantity. The section list then covers increase or decrease in percent and problems related to environment. Exercise 9(B) carries 15 questions, the most in the chapter.
- Percent
- Percentage
- Converting a Given Fraction or Decimal into Percentage (Percent Form)
- Converting a Given Percentage into a Fraction or Decimal
- Expressing One Quantity (Number) as a Percentage of the Other
- Finding Percentage (Percent) of a Given Quantity
and 2 more
Chapter 10: Profit and Loss (Maths)
Profit and loss begins with the basic concept and finding profit or loss percent. The chapter then works back to cost price when selling price and the profit or loss percent are given. Overheads and discount are the remaining sections. The bulk of the questions sits in Exercise 10 (C), with 19.
- Basic Concept
- Finding Profit or Loss Percent
- To find C.P. when S.P. and profit percent or loss percent are given
- Overheads
- Discount
Chapter 11: Interest (Maths)
Interest opens by explaining the basic concept and calculating interest. Inverse problems on simple interest follow — finding the principal, the rate or the time when the others are given. The Revision Exercise (Chapter 11) carries the most questions, with 15.
- Basic Concept
- Calculating Interest
- Inverse Problems on Simple Interest
- When Principal IS Required
- When Rate IS Required
- When Time IS Required
Chapter 12: Fundamental Concepts (Maths)
The algebra year starts here. The chapter introduces algebra, its signs and symbols, and writing a given statement in algebraic form. Constants and variables, terms and algebraic expressions follow, and the section list runs on through coefficient, power of literal quantities and the polynomial in one variable.
- Algebra
- Signs and Symbols
- Writing a Given Statement in Algebraic Form
- Constants and Variables
- Term
- Algebraic Expressions
and 5 more
Chapter 13: Fundamental Operations (Maths)
Fundamental operations in algebra start from the basic concept, with more about addition and subtraction of polynomials. Row and column methods appear for both addition and subtraction. The chapter then multiplies a polynomial by a monomial and does division, using the quotient law for exponents. The Revision Exercise (Chapter 13) sets the most questions, at 15.
- Fundamental Operations
- Basic Concept
- More About Addition and Subtraction
- The required addition
- Using the column method
- (ii) Subtraction in Polynomials
and 9 more
Chapter 14: Substitution (Maths)
Substitution works from the basic concept into brackets: opening or removing a bracket, removal of brackets and inserting a bracket. The Revision Exercise (Chapter 14) has 8 questions, the most in the chapter.
- Basic Concept
- Opening or Removing a Bracket
- Removal of Brackets
- Inserting a Bracket
Chapter 15: Simple Linear Equations (Maths)
After the basic concept and the rules for solving a linear equation, the chapter takes each standard form in turn — x + a = b, x – a = b, ax = b and x/a = b. Word problems get their own section of the run. Exercise 15(C) sets the most questions, with 27.
- Basic Concept
- Solving a Linear Equation
- Rules for Solving a Linear Equation
- Solving an Equation of the Form x + a = b
- Solving an Equation of the Form x – a = b
- Solving an Equation of the Form ax = b
and 2 more
Chapter 16: Fundamental Concepts (Maths)
The geometry half of Fundamental Concepts opens with the basic concept and a plane closed figure. It then defines the perpendicular line of a line segment and the perpendicular bisector of a line segment. Exercise 16(A), with 13 questions, carries the chapter’s most practice.
- Basic Concept
- A Plane Closed Figure
- Perpendicular Line of a Line Segment
- Perpendicular Bisector of a Line Segment
Chapter 17: Angles (Maths)
The concept of an angle, its interior and exterior, and the angle formed by rotation come first. Measuring an angle with a protractor leads to the types of angles and an important result. Adjacent, vertically opposite and congruent (equal) angles follow, and complementary and supplementary angles sit in the later sections. Exercise 17(B) carries the most questions, at 25.
- Concept of an Angle
- Interior of an Angle
- Exterior of an Angle
- Angle Formed by Rotation
- Measuring an Angle
- Using a Protractor for Measuring an Angle
and 7 more
Chapter 18: Properties of Angles and Lines (Maths)
This chapter takes the properties of adjacent and vertically opposite angles first, then defines parallel lines. The concept of transversal lines comes next — the angles formed by two lines and their transversal, and what happens when two parallel lines are cut by a transversal. The Revision Exercise (Chapter 18) sets 7 questions, the chapter’s most.
- Properties of Adjacent and Vertically Opposite Angles
- Parallel Lines
- Concept of Transversal Lines
- Angles Formed by Two Lines and Their Transversal Line
- When Two Parallel Lines Are Cut by a Transversal
Chapter 19: Construction of Angles (Maths)
When the ruler and compass can be used comes first, and the construction of particular angles after. Perpendiculars follow, and using set-squares covers the other drawing tool. The Revision Exercise (Chapter 19) holds the largest question set, with 7.
- Ruler and Compass Can BE Used
- Construction of Particular Angles
- Perpendiculars
- Using Set-Squares
Chapter 20: Triangles (Maths)
Triangles defines the triangle and its vertex, then the interior angles and the exterior angle of a triangle. Types of triangles according to angles and according to sides follow a table of examples, with the construction of triangles after them. The Revision Exercise (Chapter 20) sets 12 questions, the most in the chapter.
- Triangle
- Vertex
- Angles (Interior Angles) of a Triangle
- Exterior Angle of a Triangle
- Consider the Following Table
- Types of Triangles According to Angles
and 2 more
Chapter 21: The Circle Reference Content (Maths)
The circle is defined first, then each of its parts: radius, diameter, chord, secant and tangent, arc, sector and segment. The interior and exterior of a circle come next, with the circumcircle and in-circle of a triangle in the later sections. Exercise 21(A) carries the most questions, with 8.
- Circle
- Radius
- Diameter
- Chord
- Secant and Tangent
- Arc
and 5 more
Chapter 22: Linear Symmetry (Maths)
Linear symmetry opens with the concept of symmetry and the symmetric point. Locating a point symmetric to a given point with respect to a given line comes next, then constructing the line of symmetry when two fixed points are symmetric with respect to the required line.
- Concept of Symmetry (Linear Symmetry)
- Symmetric Point
- To Locate a Point That IS Symmetric to a Given Point with Respect to a Given Line
- Constructing the Line of Symmetry When Two Fixed Points Are Symmetric with Respect to the Required Line
Chapter 23: Perimeter and Area of Plane Figures (Maths)
Perimeter and area work starts from definitions, then looks at some important plane figures — the figures whose perimeters and areas the chapter measures. Exercise 23(B) sets 21 questions, the most in the chapter.
- Some Definitions
- Some Important Plane Figures
Chapter 24: Solids (Maths)
What a solid is comes first, then recognizing the faces, edges and vertices (corners) of some solids. Volume and surface of the cuboid and cube receive their own section. Exercise 24(A) carries 12 questions, the chapter’s most.
- Solid
- Recognizing Faces, Edges and Vertices (Corners) of Some Solids
- Volume and Surface of Cuboid and Cube
Chapter 25: Introduction and Graphs (Maths)
Graph work starts with data and how data is represented. Bar graph (column graph), pie graph and line graph each take a section. The Revision Exercise (Chapter 25) sets 7 questions, the most in the chapter.
- Data
- Representation of Data
- Bar Graph (Column graph)
- Pie Graph
- Line Graph
Chapter 26: Idea of a Set (Maths)
The definition of a set and the ways of representing sets come first. Elements (or members) of a set and some properties of a set follow. Notation (representation) of a set and some important sets round off the list. The Revision Exercise (Chapter 26) carries the most questions, with 8.
- Definition of a Set
- Ways of Representing Sets
- Elements (or Members) of a Set
- Some Properties of a Set
- Notation (Representation) of a Set
- Some Important Sets
Chapter 27: Types of Sets (Maths)
Types of Sets names each kind of set in turn: finite, infinite, empty or null, equal, equivalent and disjoint sets. Exercise 27 sets the most questions, with 9.
- Finite Set
- Infinite Set
- The Empty Set or the Null Set
- Equal Sets
- Equivalent Sets
- Disjoint Sets
Chapter 28: Operations on Sets (Maths)
Operations on Sets covers the three ways sets combine: the union of sets, the intersection of sets and the difference of two sets. Exercise 28(B) carries the most questions, with 13.
- Union of Sets
- Intersection of Sets
- Difference of Two Sets
Chapter 29: Cardinal Property of a Set (Maths)
Cardinal Property of a Set keeps to one idea — the cardinal number of a set — and what it says about a set’s size. The chapter’s practice sits in Exercise 29, which sets 13 questions.
- Cardinal Number of a Set
Chapter 30: Venn Diagrams (Maths)
Venn Diagrams introduces the diagram itself, then works with a given Venn diagram to read what it shows. The Revision Exercise (Chapter 30) sets 6 questions.
- Venn-Diagrams
- Using a Given Venn Diagram
How to revise Class 6 Maths chapter by chapter
The chapters depend on each other in blocks. Work them in this order:
- Number work first: Chapter 1 Number System (Bansal) — place value, face value, forming and comparing numbers, divisibility tests — feeds every later chapter.
- Chapters 2 and 3 together: Integers, then Number Line. The number line is the visual model the integer rules use.
- Chapters 4 to 7 in sequence: Factors and Multiples, Fractions, Decimal Fractions, Powers and Roots. H.C.F. and L.C.M. from Chapter 4 make reducing and comparing fractions in Chapter 5 possible; decimals rest on fractions; powers and roots use both.
- Chapters 8 to 11: Ratio (which also carries proportion), Percentage, Profit and Loss, Interest. Percentage is ratio scaled to 100; profit and loss and interest are percentage problems with a context.
- Chapters 12 to 15, the algebra block, in strict order: Fundamental Concepts, Fundamental Operations, Substitution, Simple Linear Equations.
- Chapters 16 to 22, the geometry block: Fundamental Concepts, Angles, Properties of Angles and Lines, Construction of Angles, Triangles, The Circle, Linear Symmetry. Do constructions after angle properties, triangles after construction.
- Chapters 23 and 24: Perimeter and Area of Plane Figures, then Solids.
- Chapter 25 (Introduction and Graphs) can sit anywhere after number work; it collects data into bar, pie and line graphs.
- Chapters 26 to 30, the sets block, in strict order: Idea of a Set, Types of Sets, Operations on Sets, Cardinal Property of a Set, Venn Diagrams.
Practice is not spread evenly through the year. The heaviest chapters by question count are Ratio (59), Simple Linear Equations (56), Decimal Fractions (51), Powers and Roots (48), Percentage (47) and Fundamental Operations (44). Single out Exercise 8(A) — one exercise with 49 questions — and give it a full timed sitting. Work the solutions on paper before checking them; that is where the marks at exam time come from.
Use the Ratio chapter to practise proportion and the Simple Linear Equations chapter for the algebra block’s heaviest practice.
Where proportion lives in the Class 6 Maths books
Proportion has no chapter of its own in these two books. It is taught inside Chapter 8: Ratio.
The chapter’s sections cover continued proportion, mean proportional (or geometric mean) and third proportional. A homework question that says “proportion” is asking for the Ratio chapter, not a separate PDF.
Two chapters named Fundamental Concepts: which is which
Chapter 12 (Fundamental Concepts) is the algebra book’s opening. It teaches algebra, signs and symbols, constants and variables, terms and algebraic expressions, then coefficient and degree.
Chapter 16 (Fundamental Concepts) is geometry. It covers a plane closed figure, the perpendicular line of a line segment and the perpendicular bisector of a line segment.
Match the homework by its wording: algebra expressions point to Chapter 12; plane figures and perpendicular bisectors point to Chapter 16.
Sources and data verification
The counts on this page describe two textbooks, named exactly as in the table: the Bansal book (Chapter 1, Number System) and the Maths book (Chapters 2 to 30).
Every count — sections, practice questions and pages — was read directly from those books. You can check each number against the chapter PDFs in the directory above.
This page covers all 30 chapters of the two books; none are missing.
CISCE sets the syllabus and conducts the examinations. Open cisce.org to verify the current Class 6 syllabus and exam structure. Textbooks are chosen by schools, and CISCE prescribes none of them. The Class 6 books hub lists the other subjects in this collection.
Class 6 Maths books: frequently asked questions
How many chapters are there in the ICSE Class 6 Maths book?
There are 30 chapters across the two books on this page. Chapter 1, Number System, comes from the Bansal book; Chapters 2 to 30 come from the Maths book. The directory above lists every one with its PDF.
Are the chapter PDFs on this page free to open?
Yes — every chapter in the directory has its PDF on this page, and there is no charge or sign-up to open one. The PDF is the chapter from the book named beside it.
Which chapter covers proportion — is it separate from ratio?
Proportion is not a separate chapter in these books. It is taught inside Chapter 8: Ratio, which covers continued proportion, mean proportional (or geometric mean) and third proportional. Open the Chapter 8 PDF to find them.
Which chapter teaches H.C.F. and L.C.M.?
Chapter 4: Factors and Multiples teaches both. It covers the highest common factor by the common factor, prime factor and division methods, then the lowest common multiple by the common multiple and common division methods.
Why are there two chapters called Fundamental Concepts — do I need both?
Both chapters matter, but for different parts of the syllabus. Chapter 12 is algebra — signs and symbols, constants and variables, terms and algebraic expressions. Chapter 16 is geometry — plane closed figures and perpendicular bisectors. Match the chapter to the wording of the question.
My school’s book numbers the chapters differently. Do these chapter lists still apply?
Chapter numbers can differ between editions and publishers, so match by chapter title and section names rather than by number. On this page, Chapter 1 comes from the Bansal book and Chapters 2 to 30 from the Maths book. Your copy’s numbering may differ, but the titles and sections will still identify the right PDF.