ICSE Class 7 Maths Books – Chapters, Practice & PDFs

Here are the ICSE Class 7 Maths books, chapter by chapter. All 36 chapters of the Maths textbook are listed in the directory below, and every listed chapter’s PDF is on this page.

This page also tells you what each chapter contains, counted from the book: its named sections, its practice questions and its page length. A reader who knows only ‘ICSE Class 7 Maths’ can find the chapter they were set, see what is in it, and take its PDF. Taken together, the directory lists 755 practice questions across 284 pages, so the volume of work is clear before a single PDF is opened.

It is part of the Class 7 books collection.

Reference: CISCE-aligned ICSE textbook material.

ICSE Class 7 Maths Books: chapter PDF downloads

Maths

ICSE Class 7 Maths Books: what is inside each chapter

A ‘section’ is one of the book’s own main headings; sub-headings inside a section are not counted. A ‘practice question’ is a numbered item under an exercise heading. ‘Pages’ is the chapter’s length in the PDF. Every count below was read from the book, so the numbers describe what the chapters actually set.

Chapter 1: Number System (Maths)

Number work opens the book. The chapter explains what a unit, a number, a numeral and numeration mean, then moves through the Hindu-Arabic system of numeration into place value and face value. Later sections cover forming numbers from given digits and the simple divisibility tests.

• 1.1 Introducing Unit, Number, Numeral and Numeration
• 1.2 Numeral and Numeration
• 1.3 Hindu-Arabic System of Numeration
• 1.4 Place Value (Local value) and Face Value (True value)
• 1.5 Forming Numbers Using Given Digits.
• 1.6 To Form the Smallest and the Greatest Numbers Using Given Digits

and 1 more

Exercise 1 (B) carries the most questions, with 15.

Chapter 2: Power and Roots (Maths)

Powers and roots sit together in one chapter. It starts with the square of a number and the cube of a number, then moves to the square root and the methods of finding it, and to what makes a perfect square. The cube root and the methods of finding it follow.

• 2.1 Elementary Treatment
• 2.2 Square of a Number
• 2.3 Cube of a Number
• 2.4 Square Root
• 2.5 Methods of Finding Square Root of a Given Number
• 2.6 Perfect Square

and 2 more

Exercise 2(C) sets 10 questions, the most in the chapter.

Chapter 3: Hcf Lcm (Maths)

Highest common factor and lowest common multiple share this chapter. It opens with the H.C.F. and the methods of finding it, then the important points that come with the idea. Multiples and common multiples follow, leading to the least common multiple and its methods.

• 3.1 Elementary Treatment
• 3.2 H.C.F. (Highest Common Factor)
• 3.3 Methods of Finding H.C.F.
• 3.4 Important Points
• 3.5 Multiples and Common Multiples
• 3.6 Least Common Multiple (L.C.M.)

and 1 more

The chapter’s practice sits in Exercise 3 (B), which sets 13 questions.

Chapter 4: Fraction (Maths)

Fractions get a full-length treatment. The chapter moves from the basic concept and classification of fractions through reducing to lowest terms, equivalent fractions, simple and complex fractions, and like and unlike fractions. It then compares fractions, inserts a fraction between two given fractions, and works through “OF”, “bodmas”, brackets and their removal, before problems involving fractions.

• 4.1 Basic Concept
• 4.2 Classification of Fractions
• 4.3 Reducing a Given Fraction to Its Lowest Term
• 4.4 Equivalent (Equal) Fractions
• 4.5 Simple and Complex Fractions
• 4.6 Like and Unlike Fractions

and 8 more

Exercise 4(D) sets the most questions here, with 11.

Chapter 5: Decimal Fractions (Maths)

Decimal fractions get a chapter of their own. The chapter defines and reads decimal numbers, converts between decimal and vulgar fractions, and deals with decimal places. Addition, subtraction, multiplication and division of decimals come next, followed by terminating, non-terminating and recurring decimals, rounding-off and significant figures.

• 5.1 Definition
• 5.2 Reading Decimal Numbers
• 5.3 Converting a Decimal Number into a Vulgar Fraction
• 5.4 Converting a Given Fraction into a Decimal Fraction
• 5.5 Decimal Places
• 5.6 Addition of Decimals

and 9 more

Exercise 5(C) holds the chapter’s largest set, with 8 questions.

Chapter 6: Unitary Method (Maths)

The unitary method solves problems by first working out the value of one unit. The chapter sets out the basic concept, then applies it in examples of direct variation and examples of inverse variation, before moving to time and work.

• 6.1 Basic Concept
• 6.2 Examples of Direct Variation
• 6.3 Examples of Inverse Variation
• 6.4 Time and Work

Chapter 7: Speed Distance Time (Maths)

Speed gets a short chapter of its own. It defines speed, separates uniform speed from variable speed, and then covers converting speed from one unit to another.

• 7.1 Speed
• 7.2 Uniform Speed and Variable Speed
• 7.3 Converting Speed from One Unit to Other Unit

Exercise 7 (A) is the chapter’s practice set, 11 questions.

Chapter 8: Ratio Proportion (Maths)

Ratio and proportion sit side by side. The chapter defines ratio, converts a fractional ratio into a whole number ratio, and divides a given quantity in a given ratio. Proportion and continued proportion follow.

• 8.1 Definition
• 8.2 To Convert a Fractional Ratio into a Whole Number Ratio
• 8.3 To Divide a Given Quantity into a Given Ratio
• 8.4 Proportion
• 8.5 Continued Proportion

Exercise 8(A) carries the heavier load, with 17 questions.

Chapter 9: Percent Percentage (Maths)

Percentage work starts from ordinary statements. The chapter explains the basic concept, expresses an ordinary given statement as percent, and expresses one quantity as a percent of the other. Finding a percentage of a quantity and percentage change come after that.

• 9.1 Basic Concept
• 9.2 To Express an Ordinary Given Statement as Percent
• 9.3 To Express One Quantity as a Percent of the Other
• 9.4 To Find Percentage of a Quantity
• 9.5 Percentage Change

Exercise 9(C) is the larger of the two exercises, with 15 questions.

Chapter 10: Profit Loss Discount (Maths)

Profit, loss and discount govern buying and selling. The chapter sets up profit and loss, then finds selling price when cost price and profit percent or loss percent are known, and finds cost price. Discount comes as its own section.

• 10.1 Profit and Loss
• 10.2 To Find Selling Price (When C.P. and Profit% or Loss% Are Known)
• 10.3 To Find Cost Price
• 10.4 Discount

Exercise 10 (C) sets the largest share, 15 questions.

Chapter 11: Simple Interest (Maths)

Simple interest gets a compact treatment. The chapter opens with simple interest itself, names the terms used, and then offers an alternative method for the same work.

• Simple Interest
• Terms Used
• Alternative Method

Exercise 11 — the chapter’s practice — sets 14 questions.

Chapter 12: Averages (Maths)

Averages keeps to one idea. Its single section, 12.1 Basic Concept, makes up the whole chapter.

• 12.1 Basic Concept

Exercise 12 sets the chapter’s 10 questions.

Chapter 13: Fundamental Concepts (Maths)

Algebra begins with fundamental concepts. The chapter covers the elementary treatment of those concepts, then works through addition and subtraction of like terms by the row method and the column method, and addition or subtraction of unlike terms. Multiplication and division follow.

• Fundamental Concepts
• Elementary Treatment
• Addition and Subtraction
• Row method
• Rules of addition of like terms
• Column method

and 5 more

Exercise 13 (B) is the large one, with 20 questions.

Chapter 14: Products (Maths)

Special products become working tools. The chapter introduces some special products as identity, then develops the square of the sum of two terms and the square of the difference of two terms. The product of the sum and the difference of two terms comes next, with the perfect square trinomial and how to check one, before using the formulae.

• 14.1 Some Special Products as Identity
• 14.2 Square of the Sum of Two Terms
• 14.3 Square of the Difference of Two Terms
• 14.4 The Product of the Sum and the Difference of Two Terms
• 14.5 Perfect Square Trinomial
• 14.6 To Check Whether the Given Trinomial IS a Perfect Square or Not

and 1 more

Exercise 14(A) and Exercise 14(B) each set 5 questions, the most in the chapter.

Chapter 15: Simplifications (Maths)

Simplification is the chapter’s job. It starts by combining algebraic expressions with integral denominators, then works with brackets: using them, inserting them, removing them, and naming their types.

• 15.1 Combining Algebraic Expressions with Integral Denominators
• 15.2 Using Brackets
• 15.3 Insertion of Brackets
• 15.4 Removal of Brackets
• 15.5 Types of Brackets

Exercise 15 (B) carries the chapter’s biggest batch, with 31 questions.

Chapter 16: Equations and Inequations (Maths)

Equations and inequations are covered back to back. The chapter defines an equation, solves it by transposing terms, handles the variable on both sides and equations involving fractions. It then introduces the linear inequation, the replacement set and the solution set, and the properties of inequations.

• 16.1 Definition of an Equation
• 16.2 Short-Cut Method (Solving an Equation by Transposing Terms)
• 16.3 Solving an Equation with the Variable on Both the Sides
• 16.4 Equations Involving Fractions
• 16.5 Inequation (Linear Inequation)
• 16.6 The Replacement Set and the Solution Set

and 2 more

Exercise 16 (A) is the biggest exercise, with 33 questions.

Chapter 17: Formula Change of Subject of a Formula (Maths)

Formulas rate a short chapter of their own. It defines what a formula is, covers changing the subject of a formula, and then evaluating the unknown using change of subject and substitution.

• 17.1 Formula
• 17.2 Changing the Subject of a Formula
• 17.3 To Evaluate the Unknown, Using Change of Subject of Formula and Substitution Methods

Exercise 17(B) takes the lead with 12 questions.

Chapter 18: Problems Based on Simple Equations (Maths)

Word problems turn sentences into equations. The chapter shows how to approach the problems, then works through problems involving age and miscellaneous problems.

• 18.1 To Solve the Problems
• 18.2 Problems Involving Age
• 18.3 Miscellaneous Problems

Exercise 18(A) and Exercise 18(B) each set 15 questions, sharing the top spot.

Chapter 19: Fractorisation (Maths)

Factorisation breaks expressions into their factors. The chapter moves from the basic concept to factors and factorisation, through the different types of factorisations, and on to complete factorisation.

• 19.1 Basic Concept
• 19.2 Factors and Factorisation
• 19.3 Different Types of Factorisations
• 19.4 Complete Factorisation

Exercise 19(B) is the larger exercise, with 8 questions.

Chapter 20: Graphs Plotting of Points Co Ordinates (Maths)

Graphs start with plotting points on a plane. The chapter gives an elementary treatment, represents a point on a plane, marks (plots) the points, and introduces abscissa and ordinate and the quadrants. It then draws the graph of a linear equation in two variables, and the equations of the x-axis and lines parallel to it, and the y-axis and lines parallel to it.

• 20.1 Elementary Treatment
• 20.2 Representation of a Point on a Plane
• 20.3 Marking (Plotting) of the Points
• 20.4 Abscissa and Ordinate
• 20.5 Quadrants
• 20.6 To Draw the Graph of a Linear Equation in Two Variables

and 2 more

Chapter 21: Relations and Mapping (Maths)

Relations and mapping connect pairs of values. The chapter starts with the ordered pair, defines a relation and its representation, and names the domain and range of a relation, before mapping.

• 21.1 Ordered Pair
• 21.2 Relation
• 21.3 Representation of a Relation
• 21.4 Domain and Range of a Relation
• 21.5 Mapping

Exercise 21(A) sets the most questions, 11.

Chapter 22: Indices (Maths)

Indices is another name for exponents. The chapter defines index or exponent, sets out the laws of indices, and then covers more about indices.

• 22.1 Index or Exponent
• 22.2 Laws of Indices
• 22.3 More About Indices

Exercise 22 is the chapter’s practice, 6 questions.

Chapter 23: Lines and Angles (Maths)

Lines and angles build the geometry toolkit. The chapter reviews the basics, measures an angle, and sorts the types of angles, with more about angles and complementary and supplementary angles. It then introduces the transversal, parallel lines and the conditions of parallelism, before constructions of angles and some special constructions.

• 23.1 Review
• 23.2 Measurement of an Angle
• 23.3 Types of Angles
• 23.4 More About Angles
• 23.5 Complementary and Supplementary Angles
• 23.6 The Concept of a Transversal

and 4 more

Exercise 23 (A) is the largest exercise, 25 questions.

Chapter 24: Triangles (Maths)

Triangles get their own chapter. The chapter reviews triangles, then works through the interior and exterior angles of a triangle and the inequalities.

• 24.1 Review
• 24.3 Interior and Exterior Angles of a Triangle
• 24.4 Inequalities
• 24.5 Important

Test Yourself carries the most questions, with 20.

Chapter 25: Symmetry (Maths)

Symmetry, reflection and rotation sit together here. The chapter reviews the ideas, finds the lines of symmetry of given geometrical figures, and then deals with reflection. Reflection in the x-axis, the y-axis and the origin each gets a section, and rotation follows.

• 25.1 Review
• 25.2 Lines of Symmetry of Given Geometrical Figures
• 25.3 Reflection
• 25.4 Reflecton in X-Axis
• 25.5 Reflection in Y-Axis
• 25.6 Reflection in Origin

and 1 more

Exercise 25 (A) is the bigger exercise, with 14 questions.

Chapter 26: Congruency Congruent Triangles (Maths)

Congruency is about figures that match exactly. The chapter explains the meaning of congruency, applies it to triangles, and names the corresponding sides and corresponding angles. The conditions of congruency come after that.

• 26.1 Meaning of Congruency
• 26.2 Congruency in Triangles
• 26.3 Corresponding Sides and Corresponding Angles
• 26.4 Conditions of Congruency

Exercise 26 sets the chapter’s 14 questions.

Chapter 27: Polygons (Maths)

Polygon geometry hangs together in this chapter. It finds the sum of interior angles of a polygon and uses the formula, then turns to the quadrilateral, its diagonals, and the types of quadrilaterals. Some special types of parallelograms follow.

• 27.2 Sum of Interior Angles of a Polygon
• 27.3 Using Formula
• 27.4 Quadrilateral
• 27.5 Diagonals of a Quadrilateral
• 27.6 Types of Quadrilaterals
• 27.7 Some Special Types of Parallelograms

Exercise 27 (B) is the chapter’s practice, 20 questions.

Chapter 28: Construction of Quadrilaterals (Maths)

This chapter is drawing work, step by step. It constructs a quadrilateral, a parallelogram, a rectangle, a square and a rhombus, in that order.

• 28.1 Construction of a Quadrilateral Abcd.
• 28.2 Construction of a Parallelogram Abcd.
• 28.3 Construction of a Rectangle Abcd.
• 28.4 Construction of a Square Abcd.
• 28.5 Construction of a Rhombus Abcd.

Chapter 29: Introduction of Theorem (Maths)

The chapter eases into proof with a basic treatment of its first theorem. An alternative method comes next, and then Theorem 2.

• Basic Treatment
• Alternative Method
• Theorem 2

Chapter 30: Circles (Maths)

Circle geometry starts with names. The chapter works through some important terms, the interior and exterior of a circle, arcs and types of arcs, sectors, segments, and the central angle. Tangents and the angle in a semi-circle follow.

• 30.2 Some Important Terms
• 30.3 Interior and Exterior of a Circle
• 30.4 Arcs and Types of Arcs
• 30.5 Sectors
• 30.6 Segments
• 30.7 Central Angle

and 2 more

Exercise 30 is the larger of the chapter’s two exercises, with 24 questions.

Chapter 31: Perimeter and Area (Maths)

Perimeter and area both measure shapes. The chapter defines perimeter and area, works through the perimeter and area of some special figures, and notes the units of perimeter and area. The area of a triangle is covered in its own section.

• 31.1 Perimeter
• 31.2 Area
• 31.3 Perimeter and Area of Some Special Figures
• 31.4 Units of Perimeter and Area
• 31.5 Area of a Triangle

Exercise 31(A) carries the bigger load, 16 questions.

Chapter 32: Volume and Surface Area (Maths)

Solids take on volume and surface area. The chapter defines the pair, then applies them to the cuboid and the cube. The area of the four walls of a room is a separate section.

• 32.1 Volume and Surface Area
• 32.2 Cuboid
• 32.3 Cube
• 32.4 Area of the Four Walls of a Room

Exercise 32 sets the chapter’s 18 questions.

Chapter 33: Collection and Tabulation of Data (Maths)

Data handling starts with gathering and organising. The chapter gives a basic treatment, defines data, separates raw data from an arrayed data, and builds frequency and frequency distribution. Graphical representation of data follows.

• 33.1 Basic Treatment
• 33.2 Data
• 33.3 Raw Data and an Arrayed Data
• 33.4 Frequency and Frequency Distribution
• 33.5 Graphical Representaion of Data

Exercise 33(A) is the chapter’s practice, 5 questions.

Chapter 34: Set Concepts (Maths)

Set concepts introduce a new language of symbols. The chapter covers the basic concept, elements of a set, and the use of the symbols ∈ and ∉. Representation of a set and types of sets follow.

• 34.1 Basic Concept
• 34.2 Elements of a Set
• 34.3 Use of Symbol ‘∈’ or Symbol ‘∉’
• 33.4 Representation of a Set
• 34.6 Types of Sets

Exercise 34(B) sets the chapter’s 7 questions.

Chapter 35: Subsets Universal Set (Maths)

Subsets and the universal set extend the set work. The chapter defines subset, super-set and proper subset, counts the subsets and proper subsets of a given set, and introduces the universal set. Complement of a set and operations of sets follow.

• 35.1 Subset
• 35.2 Super-Set
• 35.3 Proper Subset
• 35.4 Number of Subsets and Number of Proper Subsets of a Given Set
• 35.5 Universal Set
• 35.6 Complement of a Set

and 1 more

Exercise 35(B) sets the most questions, 9.

Chapter 36: Venn Diagram (Maths)

Venn diagrams picture set relationships. The chapter starts from the basic idea, shows how to draw a Venn diagram, and uses Venn diagrams to show the relationship between sets. It then uses Venn diagrams to solve.

• 36.1 Basic Idea
• 36.2 To Draw a Venn-Diagram Example 1
• 36.3 Using Venn-Diagrams to Show the Relationship Between the
• 36.5 Using Venn-Diagrams to Solve

Exercise 36(A) is the chapter’s practice, 7 questions.

How to revise Class 7 Maths chapter by chapter

One working order through the book runs in five blocks. Each block builds on the one before it, so the sequence below is also the dependency map.

1. Numbers and arithmetic: Chapters 1 to 5. Start with Chapter 1 Number System — its place value and divisibility work underpins the arithmetic chapters that follow — then Chapter 2 Power and Roots, Chapter 3 Hcf Lcm, Chapter 4 Fraction and Chapter 5 Decimal Fractions. This block lays the number facts every later block uses.
2. Applied arithmetic: Chapters 6 to 12. Work through Chapter 6 Unitary Method, Chapter 7 Speed Distance Time, Chapter 8 Ratio Proportion, Chapter 9 Percent Percentage, Chapter 10 Profit Loss Discount, Chapter 11 Simple Interest and Chapter 12 Averages. The unitary method, ratio and percent ideas feed directly into profit, loss, discount and interest.
3. Algebra: Chapters 13 to 19 and 22. Do Chapter 13 Fundamental Concepts before Chapter 14 Products, Chapter 15 Simplifications and Chapter 16 Equations and Inequations, since products, simplifications and equations all use its operations. Chapter 17 Formula Change of Subject of a Formula and Chapter 18 Problems Based on Simple Equations apply that equation work to word problems. Chapter 19 Fractorisation reverses the products work, and Chapter 22 Indices pairs naturally with Chapter 2 Power and Roots because both work with exponents.
4. Geometry: Chapters 23 to 32. Follow the chain Chapter 23 Lines and Angles, then Chapter 24 Triangles, Chapter 26 Congruency Congruent Triangles, Chapter 27 Polygons, Chapter 28 Construction of Quadrilaterals, Chapter 29 Introduction of Theorem, Chapter 30 Circles and Chapter 25 Symmetry. Chapter 31 Perimeter and Area and Chapter 32 Volume and Surface Area come last in this block. Lines and angles must come before triangles, triangles before congruency, and perimeter and area before volume and surface area.
5. Graphs, data and sets: Chapters 20, 21 and 33 to 36. Finish with Chapter 20 Graphs Plotting of Points Co Ordinates, Chapter 21 Relations and Mapping, Chapter 33 Collection and Tabulation of Data, Chapter 34 Set Concepts, Chapter 35 Subsets Universal Set and Chapter 36 Venn Diagram. Relations and mapping use the co-ordinates from the graphs chapter, and the set chapters build on one another in order.

Practice weight, read from the directory, points to three chapters. Chapter 16 Equations and Inequations sets 83 questions across three exercises, the most in the book. Chapter 24 Triangles follows with 57 questions, including a 20-question Test Yourself, and Chapter 15 Simplifications sets 55. These three are the chapters not to leave for the night before.

Sources and data verification

The counts on this page describe the Maths textbook named in the table above; every row is one chapter of that book. The section lists, practice counts and page counts were read from the book itself.

Every number can be checked against the chapter PDFs on this page. This page covers all 36 chapters of the Maths book — the table’s count, exactly — and none are missing.

CISCE sets the syllabus and the examinations. The official CISCE website publishes the syllabus, so it is the place to check what will be examined. CISCE prescribes no textbook: schools choose their own, so the Maths book on this page may not be the one every school uses.

Class 7 Maths books: frequently asked questions