ICSE Class 9 Maths Books – Chapters, Practice & PDFs
The ICSE Class 9 Maths books are covered here chapter by chapter. This page lists 28 chapters from two books — Arun Deep and Maths — and each listed chapter’s PDF is on this page. The directory below carries every listed chapter, with its PDF ready to open.
This page sits inside the wider Class 9 books collection. The PDFs alone do not tell you what is inside each chapter, so every chapter below carries a breakdown read from the book: its own main sections, how many practice questions its exercises set, and how many pages it runs in the PDF.
Reference: CISCE-aligned ICSE textbook material.
ICSE Class 9 Maths Books: chapter PDF downloads
Arun Deep
| # | Chapter | Sections | Practice questions | Pages | |
|---|---|---|---|---|---|
| 3 | Compound Interest | — | 15 | 6 | Chapter 3 PDF |
| 4 | Expansions | — | 50 | 15 | Chapter 4 PDF |
| 10 | Triangles | 4 | 88 | 38 | Chapter 10 PDF |
| 19 | Mean and Median of Ungrouped Data | — | 25 | 12 | Chapter 19 PDF |
| 20 | Parimeter and Area of Plane Figures | — | 74 | 28 | Chapter 20 PDF |
Maths
ICSE Class 9 Maths Books: what is inside each chapter
Three numbers describe each chapter below. 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 how long the chapter runs in the PDF.
Chapter 3: Compound Interest (Arun Deep)
Compound interest is the whole topic here. The chapter explains what compound interest is and shows how the amount grows as interest is added to the principal.
- Compound Interest
Exercise 3-b sets the higher count, at 8 questions.
Chapter 4: Expansions (Arun Deep)
Expansion of algebraic expressions runs through this chapter. It uses standard results to open up brackets, and the named section, Second Method, offers an alternative route to the same expansions.
- Second Method
Exercise 4 (A) is where most of the practice sits, with 22 questions.
Chapter 10: Triangles (Arun Deep)
Triangles are sorted by their angles first. Theorems and their applications follow, then congruency of triangles and the criteria that establish it.
- Types of Triangles on the Basis of Angles
- Some Theorems and Their Applications
- Congruency of Triangles
- Criterion for Congruence
Of the four exercises, Exercise 10 (B) carries the largest share — 27 questions.
Chapter 19: Mean and Median of Ungrouped Data (Arun Deep)
Two summary values for ungrouped data make up this chapter. It shows how to find the mean and the median of a set and what each value tells you.
- Mean and Median of ungrouped data
Exercise 19 (A) leads on questions, with 16.
Chapter 20: Parimeter and Area of Plane Figures (Arun Deep)
Perimeter and area of quadrilaterals form the chapter’s core. It works through the standard shapes and the measurements that go with each.
- Perimeter and Area of Quadrilaterals
Exercise 20 (B) is the chapter’s top exercise for questions, at 35.
Chapter 2: Compound Interest Without Using Formula (Maths)
Simple interest appears first, then compound interest gets its definition. The chapter treats compound interest as repeated simple interest on a principal that grows each period. A later section draws the relation between the simple and compound cases.
- Interest (Simple Interest)
- Compound Interest (C.I.)
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
- More About Compound Interest
- Relation Between Simple Interest (S.I.) and Compound Interest (C.I.)
Exercise 2 (D) sets the larger number, 18 questions.
Chapter 3: Compound Interest Using Formula (Maths)
Once the compound interest formula is in play, the cases multiply. The chapter works through inverse problems, miscellaneous problems, and interest compounded half-yearly. It also covers time that is not an exact number of years, then other applications of the formula.
- Using Formula
- Inverse Problems
- Miscellaneous Problems
- When the Interest IS Compounded Half-Yearly (Two Times in a Year)
- When the Time IS Not an Exact Number of Years and the Interest IS Compounded Yearly
- Other Applications of the Formula
Each of the four exercises — 3 (B), 3 (C), 3 (D), 3 (E) — sets 10 questions, an even spread.
Chapter 6: Simultaneous Linear Equations Including Problems (Maths)
A pair of linear equations needs a reliable method, and the chapter offers several. Substitution, equating coefficients and cross-multiplication each get a section. Later sections cover equations reducible to linear form and problems based on simultaneous equations.
- Methods of Solving Simultaneous Equations
- Method of Elimination by Substitution
- Method of Elimination by Equating Coefficients
- Method of Cross-Multiplication
- Equations Reducible to Linear Equations
- Problems Based on Simultaneous Equations
Exercise 6 (E) holds the highest question count, at 15.
Chapter 7: Indices Exponents (Maths)
The laws of indices come first. The chapter shows how they handle positive, fractional, negative and zero indices, then moves to simplification of expressions. A later section puts the laws of exponents to work.
- Laws of Indices
- Handling Positive, Fractional, Negative and Zero Indices
- Simplification of Expressions
- Using Laws of Exponents
Exercise 7 (B), with 14 questions, holds the larger share.
Chapter 8: Logarithms (Maths)
Logarithmic and exponential forms are the starting point. The chapter interchanges between the two, then works through the laws of logarithms and their use. Later sections expand expressions with those laws and add more points about logarithms.
- Interchanging
- Laws of Logarithm with Use
- Expansion of Expressions with the Help of Laws of Logarithm
- More About Logarithms
Exercise 8 (D) sets the most of the four, at 20 questions.
Chapter 9: Triangles (Maths)
Sides and angles of a triangle open the chapter. It defines some important terms, then introduces congruent triangles. The conditions for congruency of triangles follow.
- Relation Between Sides and Angles of Triangles
- Some Important Terms
- Congruent Triangles
- Conditions for Congruency of Triangles
Exercise 9 (A) sets more than the chapter’s other exercise, 15 against 14.
Chapter 10: Isosceles Triangles (Maths)
Isosceles triangles get a chapter of their own, studied through their properties and their applications.
Exercise 10 (B) reaches 27 questions, the higher of the two.
Chapter 11: Inequalities (Maths)
Three theorems about inequalities in triangles carry the chapter. Each is stated, proved and applied in the exercises.
- Theorem 3
- Theorem 4
- Theorem 5
The single exercise of the chapter, Exercise 11, sets 25 questions.
Chapter 12: Mid Point and Its Converse Including Intercept Theorem (Maths)
The mid point theorem and its converse start things off, proved and applied. The equal intercept theorem follows with the same treatment.
- Mid-Point Theorem (Proof and simple applications and its converse)
- Equal Intercept Theorem (Proof and simple application)
Exercise 12 (A) sets the higher total, 17 questions.
Chapter 14: Rectilinear Figures (Maths)
Polygons are named and defined at the start, including the regular polygon. Quadrilaterals and their special kinds take up the rest.
- Names of Polygons
- Regular Polygon
- Quadrilaterals
- Special Kinds of Quadrilaterals
Exercise 14 (C) tops the chapter’s exercise counts at 19.
Chapter 15: Construction of Polygons (Maths)
Ruler-and-compass constructions fill the chapter. Quadrilaterals come first, then parallelograms, a trapezium, rectangles, rhombus and square. The run of shapes reaches a regular hexagon.
- Construction of Quadrilaterals
- Construction of Parallelograms
- Construction of Trapezium
- Construction of Rectangles
- Construction of Rhombus
- Construction of Square
and 1 more
That one exercise, Exercise 15, sets 39 questions in a single stretch.
Chapter 16: Area Theorems Proof and Use (Maths)
Area theorems are the chapter’s subject matter. Figures between the same parallels come first, then triangles with the same vertex and bases along the same line. Each theorem is proved and then used.
- Figures Between the Same Parallels
- Triangles with the Same Vertex and Bases Along the Same Line
Exercise 16 (A) accounts for the most questions, with 18.
Chapter 17: Circle (Maths)
The circle’s parts and terms come first. The chapter moves from the circle itself to arcs, segments and sectors, then to chord properties.
- Circle
- More About Circle
- Arc, Segment and Sector
- Chord Properties
Exercises 17 (A) and 17 (D) match at 10 questions each, the chapter’s peak.
Chapter 18: Statistics (Maths)
Statistics builds its vocabulary step by step: variable, tabulation of data, frequency, frequency distribution, class intervals and class limits. The chapter then represents continuous frequency distributions graphically.
- Variable
- Tabulation of Data
- Frequency
- Frequency Distribution
- Types of Frequency Distributions
- Class Intervals and Class Limits
and 1 more
Exercise 18 (A) is the chapter’s lone exercise, numbering 13 questions.
Chapter 19: Mean and Median (Maths)
The mean of ungrouped data leads the chapter. Properties of the mean follow, and the median appears as the second measure of central tendency.
- Mean of Ungrouped Data
- Properties of Mean
- Median
Exercise 19 (A) reaches 14 questions, more than the chapter’s other exercise.
Chapter 20: Area and Perimeter of Plane Figures (Maths)
Triangles and quadrilaterals share the early sections, each with its special types. The chapter then turns to the circle’s circumference and its area.
- Area and Perimeter of Triangles
- Some Special Types of Triangles
- Area and Perimeter of Quadrilaterals
- Some Special Types of Quadrilaterals
- Circumference of a Circle
- Area of a Circle
Exercise 20 (B) alone sets 36 questions.
Chapter 21: Solids Surface Area and Volume of 3D Solids (Maths)
The cuboid and the cube open the chapter with their surface areas and volumes. Volume ideas then move to practical quantities: the cost of an article, cross-sections, and the flow of water or any other liquid.
- Cuboid
- Cube
- Cost of an Article
- Cross-Section
- Flow of Water (or Any Other Liquid)
Exercise 21 (A), with 16, outnumbers the chapter’s other exercise.
Chapter 23: Trigonometrical Ratios of Standard Angles (Maths)
Angles 30 and 60 degrees get their trigonometrical ratios first, then angle 45 degrees. The chapter then uses these ratios to solve a trigonometric equation.
- Trigonometrical Ratios of Angles 30° and 60°
- Trigonometrical Ratios of Angle 45°
- Solving a Trigonometric Equation
Exercises 23 (A) and 23 (C) each reach 15 questions, the chapter’s maximum.
Chapter 24: Solution of Right Triangles (Maths)
Right triangles are solved with the trigonometrical ratios, which find the missing sides and angles.
Exercise 24 runs to 20 questions.
Chapter 25: Complementary Angles (Maths)
Complementary angles receive their own trigonometrical treatment. The sine and cosine relation stands as the main result.
- Concept of Trigonometic Ratios of Complementary Angles
- Complementary Angles for Sine (sin) and Cosine (cos)
Its only exercise, Exercise 25, sets 8 questions.
Chapter 26: Co Ordinate Geometry (Maths)
Coordinate geometry begins with variables and ordered pairs. The cartesian plane, co-ordinates of points, and quadrants with their sign conventions follow. Later sections cover plotting of points, graphing lines, slope and the y-intercept.
- Dependent and Independent Variables
- Ordered Pair
- Cartesian Plane
- CO-Ordinates of Points
- Quadrants and Sign Convention
- Plotting of Points
and 5 more
Exercise 26 (A) sets the higher total, 13 questions.
Chapter 27: Graphical Solution (Maths)
Graphs of linear equations in two variables are the chapter’s single focus. The chapter draws such graphs and reads solutions from them.
- Graphs of Linear Equations in Two Variables
Exercise 27 (A) numbers 13 questions.
Chapter 28: Distance Formula (Maths)
The distance formula opens the chapter, then finds its use in locating the circumcentre of a triangle.
- The Distance Formula
- Circumcentre of a Triangle
How to revise Class 9 Maths chapter by chapter
- Interest and growth first. Work through Compound Interest Without Using Formula (Maths Chapter 2), then Compound Interest Using Formula (Maths Chapter 3). Do not treat them as duplicates: Chapter 2 computes interest year by year on a growing principal (section 2.4), while Chapter 3 applies the formula and adds half-yearly cases (section 3.5). If your school uses the other book, Arun Deep’s compound interest chapter covers the same ground in one pass.
- Algebra strip. Continue with Expansions (Arun Deep Chapter 4), then Simultaneous Linear Equations Including Problems (Maths Chapter 6), Indices Exponents (Maths Chapter 7) and Logarithms (Maths Chapter 8). Expansions give you the bracket work the other algebra chapters build on.
- Triangle block. Work the Maths triangle chapters in order — 9 Triangles, 10 Isosceles Triangles, 11 Inequalities, 12 Mid Point and Its Converse Including Intercept Theorem — then 14 Rectilinear Figures, 15 Construction of Polygons, 16 Area Theorems Proof and Use, and 17 Circle. The proof habits from the triangle chapters carry into the later geometry work.
- Mensuration. Move to Area and Perimeter of Plane Figures (Maths Chapter 20), then Chapter 21 Solids Surface Area and Volume of 3D Solids.
- Statistics. Do Maths Chapter 18 Statistics, then Chapter 19 Mean and Median.
- Trigonometry. Maths Chapter 23 Trigonometrical Ratios of Standard Angles, then Chapter 24 Solution of Right Triangles, then Chapter 25 Complementary Angles.
- Coordinate geometry. Finish with Maths Chapters 26 Co Ordinate Geometry, 27 Graphical Solution and 28 Distance Formula.
The practice sits unevenly across the year. Arun Deep’s Triangles chapter sets 88 questions, Area and Perimeter of Plane Figures sets 78, and Logarithms sets 59 — across the 28 chapters on this page the total comes to 947 practice questions. Chapter numbers repeat between the two books, so match every chapter by its book as well as its number.
Try this two-minute check after the compound interest chapters: on Rs 8,000 at 5 percent for two years, simple interest is Rs 800 and compound interest is Rs 820. The extra Rs 20 is interest earned on the first year’s interest.
Sources and data verification
The counts on this page describe the two textbooks named in the table: Arun Deep and Maths. Every section count, exercise question count and page count was read from those books, and each can be checked against the PDF on this page.
This page covers 28 chapters, the table’s exact count. The rest of both books is not on this page yet:
- Arun Deep: chapters 2, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 21, 22 and 23 are not on this page yet.
- Maths: chapters 1, 4, 5, 13 and 22 are not on this page yet.
CISCE sets the ICSE syllabus and conducts the examinations. Open CISCE’s official site to verify the syllabus and exam details. Textbooks are chosen by schools, and CISCE prescribes none of them.
Class 9 Maths books: frequently asked questions
How many chapters do the ICSE Class 9 Maths books have?
This page lists 28 chapters across two books, Arun Deep and Maths. The number a student actually studies depends on the booklist their school follows. The sources section above names the chapters not on this page yet.
Are the Class 9 Maths chapter PDFs free?
Yes. Every chapter listed in the directory has its PDF on this page, with no sign-up or payment. The breakdown beside each PDF explains what the chapter contains.
Which chapter covers compound interest?
The Maths book splits the topic: Chapter 2 covers it without using a formula, and Chapter 3 covers it using the formula. Arun Deep covers it once, in Chapter 3. Do the without-formula chapter first.
Do I need to study both books when they cover the same topic?
No, unless your school set both. CISCE prescribes no single textbook, so schools choose their own books. Study the book your school named, and check the book column in the directory when a chapter number looks familiar.
Which book will my school use — Arun Deep or Maths?
That choice belongs to the school, not the student. Both books follow the CISCE syllabus, so this page carries PDFs and breakdowns for both. Ask your teacher which book is on your booklist.