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ICSE Class 9 Maths Important Questions (Chapter-wise)
ICSE Class 9 Maths moves at real pace — coordinate geometry, trigonometry and mensuration all show up for the first time and reappear, harder, in Class 10. These important questions target exactly the proof and calculation patterns ICSE examiners repeat. Chapter-wise, with model answers, aligned to the CISCE 2026–27 syllabus.
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ICSE Class 9 Maths important questions are chapter-wise practice questions on the core ideas of the ICSE Class 9 Maths syllabus, in the question formats used in the exam. Classmate AI gives all 28 chapters free, each with a model answer. Pick a chapter below to start.
Syllabus reference (2026–27): CISCE (Council for the Indian School Certificate Examinations)
All 28 chapters — Class 9 Maths
In syllabus order. Open any chapter for its free important questions with model answers.
| Chapter | ICSE Class 9 Maths — Important Questions by chapter | What it tests |
|---|---|---|
| Chapter 1 | Rational and Irrational Numbers Rational vs irrational numbers; Rational and irrational numbers between two numbers; Surds: simplifying and comparing | Rational vs irrational numbers; Rational and irrational numbers between two numbers; Surds: simplifying and comparing |
| Chapter 2 | Compound Interest (Without Using Formula) Year-by-year compound interest; Amount at the end of a period; Difference between CI and SI | Year-by-year compound interest; Amount at the end of a period; Difference between CI and SI |
| Chapter 3 | Compound Interest (Using Formula) The compound interest formula; Finding amount and CI; Half-yearly compounding | The compound interest formula; Finding amount and CI; Half-yearly compounding |
| Chapter 4 | Expansions Square of a binomial; Square of a trinomial; Cube of a binomial | Square of a binomial; Square of a trinomial; Cube of a binomial |
| Chapter 5 | Factorisation Common factors and grouping; Difference of two squares; Sum and difference of two cubes | Common factors and grouping; Difference of two squares; Sum and difference of two cubes |
| Chapter 6 | Simultaneous (Linear) Equations Solving by substitution; Solving by elimination; Solving by cross-multiplication | Solving by substitution; Solving by elimination; Solving by cross-multiplication |
| Chapter 7 | Indices (Exponents) Laws of indices; Zero and negative exponents; Fractional (rational) exponents | Laws of indices; Zero and negative exponents; Fractional (rational) exponents |
| Chapter 8 | Logarithms Log-exponential conversion; Laws of logarithms; Common logarithms (base 10) | Log-exponential conversion; Laws of logarithms; Common logarithms (base 10) |
| Chapter 9 | Triangles (Congruency in Triangles) Meaning of congruence and correspondence; SSS and SAS conditions; ASA and AAS conditions | Meaning of congruence and correspondence; SSS and SAS conditions; ASA and AAS conditions |
| Chapter 10 | Isosceles Triangles Angles opposite equal sides are equal, and the converse; Greater side opposite greater angle, and the converse; Sum of two sides greater than the third side | Angles opposite equal sides are equal, and the converse; Greater side opposite greater angle, and the converse; Sum of two sides greater than the third side |
| Chapter 11 | Inequalities Greater side opposite greater angle; Greater angle opposite greater side (converse); Sum of two sides greater than the third | Greater side opposite greater angle; Greater angle opposite greater side (converse); Sum of two sides greater than the third |
| Chapter 12 | Mid-point and Its Converse (Including Intercept Theorem) Mid-point theorem; Converse of the mid-point theorem; Intercept theorem (equal intercepts) | Mid-point theorem; Converse of the mid-point theorem; Intercept theorem (equal intercepts) |
| Chapter 13 | Pythagoras Theorem Pythagoras theorem statement and proof; Converse of Pythagoras theorem; Finding unknown sides | Pythagoras theorem statement and proof; Converse of Pythagoras theorem; Finding unknown sides |
| Chapter 14 | Rectilinear Figures (Quadrilaterals) Angle sum of a quadrilateral; Properties of a parallelogram and its diagonals; Conditions for a quadrilateral to be a parallelogram | Angle sum of a quadrilateral; Properties of a parallelogram and its diagonals; Conditions for a quadrilateral to be a parallelogram |
| Chapter 15 | Construction of Polygons Data required to construct a quadrilateral; Construction of general quadrilaterals; Construction of parallelograms and rhombuses | Data required to construct a quadrilateral; Construction of general quadrilaterals; Construction of parallelograms and rhombuses |
| Chapter 16 | Area Theorems Figures on the same base and between the same parallels; Parallelograms of equal area; Triangle as half a parallelogram | Figures on the same base and between the same parallels; Parallelograms of equal area; Triangle as half a parallelogram |
| Chapter 17 | Circle Chord and its properties; Perpendicular from the centre to a chord; Equal chords and their distances from the centre | Chord and its properties; Perpendicular from the centre to a chord; Equal chords and their distances from the centre |
| Chapter 18 | Statistics (Classification of Data, Tabulation) Raw data and range; Tally marks and frequency; Ungrouped (discrete) frequency distribution | Raw data and range; Tally marks and frequency; Ungrouped (discrete) frequency distribution |
| Chapter 19 | Mean and Median Mean of ungrouped data and of a frequency table; Median of ungrouped data; Finding a missing value or frequency | Mean of ungrouped data and of a frequency table; Median of ungrouped data; Finding a missing value or frequency |
| Chapter 20 | Area and Perimeter of Plane Figures Area and perimeter of triangles and Heron's formula; Area of quadrilaterals (parallelogram, rhombus, trapezium); Circumference and area of a circle | Area and perimeter of triangles and Heron's formula; Area of quadrilaterals (parallelogram, rhombus, trapezium); Circumference and area of a circle |
| Chapter 21 | Solids (Surface Area and Volume of 3-D Solids) Surface area and volume of a cuboid; Surface area and volume of a cube; Open and closed boxes; internal and external dimensions | Surface area and volume of a cuboid; Surface area and volume of a cube; Open and closed boxes; internal and external dimensions |
| Chapter 22 | Trigonometrical Ratios Sides of a right triangle: opposite, adjacent, hypotenuse; The six trigonometrical ratios; Reciprocal relations | Sides of a right triangle: opposite, adjacent, hypotenuse; The six trigonometrical ratios; Reciprocal relations |
| Chapter 23 | Trigonometrical Ratios of Standard Angles The standard-angle value table; Evaluating numerical expressions; Simplifying combinations of ratios | The standard-angle value table; Evaluating numerical expressions; Simplifying combinations of ratios |
| Chapter 24 | Solution of Right Triangles Choosing the correct ratio (sin, cos, tan); Finding a side given a side and an angle; Finding an angle given two sides | Choosing the correct ratio (sin, cos, tan); Finding a side given a side and an angle; Finding an angle given two sides |
| Chapter 25 | Complementary Angles Meaning of complementary angles; Ratios of complementary angles (90°-A); Evaluating trigonometric expressions | Meaning of complementary angles; Ratios of complementary angles (90°-A); Evaluating trigonometric expressions |
| Chapter 26 | Co-ordinate Geometry Cartesian plane, axes and quadrants; Ordered pairs; dependent and independent variables; Plotting points | Cartesian plane, axes and quadrants; Ordered pairs; dependent and independent variables; Plotting points |
| Chapter 27 | Graphical Solution (Simultaneous Linear Equations, Graphically) Making a table of values for a linear equation; Drawing the graph of ax+by=c; Point of intersection as the solution | Making a table of values for a linear equation; Drawing the graph of ax+by=c; Point of intersection as the solution |
| Chapter 28 | Distance Formula The distance formula and its Pythagoras origin; Distance of a point from the origin; Lengths of sides and classifying triangles | The distance formula and its Pythagoras origin; Distance of a point from the origin; Lengths of sides and classifying triangles |
Finished a chapter? Test yourself: ICSE Class 9 Maths mock tests
How the ICSE Class 9 Maths paper is set
Class 9 students in 2026-27 follow the CISCE syllabus for the ICSE 2028 examination. For Class IX Maths it sets one paper of three hours carrying 80 marks, plus 20 marks of internal assessment. The written paper covers 8 units, in this order:
- Pure Arithmetic
- Commercial Mathematics
- Algebra
- Geometry
- Statistics
- Mensuration
- Trigonometry
- Coordinate Geometry
Our 28 chapter pages split these units into textbook-sized chapters, so you can revise one topic at a time. The other 20 marks are for at least two assignments during the year, set by your teacher and marked out of 20. The syllabus lists work such as:
- a survey of a group of students (height, weight, pocket money) shown on a graph
- studying ways of raising a loan to buy a house or car
- cutting a circle into small equal sectors to arrive at A = πr²
- folding flat cut-outs into cubes, cuboids and pyramids to find their volume and surface area
What changed in the ICSE 2028 Maths syllabus
CISCE published the Examination Year 2028 syllabus in January 2026. Compared with the 2027 document, for Class IX:
- The Class IX Mathematics content is the same as in the previous year's syllabus, so every chapter below carries over unchanged.
The questions on every chapter page are checked against this syllabus. Read the full document: ICSE 2028 Maths syllabus (PDF, CISCE).
Why these Maths questions help
- Marks are earned step-by-step — examiners award method marks even when the final answer slips.
- The same question patterns repeat across years; recognising them saves time in the exam hall.
- Weak links compound in Maths — nailing each chapter now makes the next one far easier.
Class 9 Maths exam tips
- Show every step — write the formula, substitute, then solve.
- Keep a one-page formula sheet per chapter and revise it daily.
- Re-attempt wrong sums from scratch, not by reading the solution.
- Attempt the highest-mark questions first if you're short on time.
- When a chapter still will not click, let the Classmate AI tutor walk you through it step by step.
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Frequently asked questions
Are ICSE Class 9 Maths important questions free?
Yes. Every chapter's important-questions page for ICSE Class 9 Maths is completely free — no login, no payment.How many chapters are covered in Class 9 Maths?
All 28 chapters of the ICSE Class 9 Maths syllabus have their own important-questions page.Do these follow the latest ICSE Class 9 Maths syllabus?
Yes — every chapter is mapped to the CISCE 2026–27 syllabus for ICSE Class 9 Maths, so nothing is outdated or dropped.How many marks is the ICSE Class 9 Maths paper?
The CISCE syllabus sets one paper of three hours carrying 80 marks, plus 20 marks of internal assessment. The internal assessment is at least two assignments during the year, set by your teacher and marked out of 20.Which syllabus does ICSE Class 9 follow in 2026-27?
Students in Class 9 in 2026-27 sit the ICSE 2028 examination, so they follow the CISCE syllabus for Examination Year 2028, published in January 2026. Every chapter on this page is checked against it.How should I use these Maths important questions?
Finish each chapter from your textbook, attempt its important questions on paper, then check the model answers and re-do anything you got wrong.
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