ICSE Class 10 Maths is the foundation board exam for secondary mathematics — covering algebra, geometry, statistics, and trigonometry in depth. The Council for the Indian School Certificate Examinations (CISCE) designs and conducts this examination for students across India and abroad. ICSE Class 10 Maths is widely recognised for its analytical rigour, making it an excellent preparation ground for competitive entrance examinations. On this page, you will find chapter-wise notes, Selina Concise solutions, ML Aggarwal answers, past papers, and completely free PDF study materials updated for 2026-27.
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Free ICSE Class 10 Maths PDF Downloads
All PDFs below are sourced from CISCE-aligned publishers — Selina Concise, ML Aggarwal, Frank Brothers, and S.Chand — and are updated for the 2026-27 academic session. Each file includes step-by-step solutions so students can check their working method, not just the final answer.
| Chapter | Topic | Download PDF |
|---|---|---|
| Chapter 1 | Compound Interest | Download PDF ↓ |
| Chapter 2 | Sales Tax Value Added Tax VAT | Download PDF ↓ |
| Chapter 3 | Banking | Download PDF ↓ |
| Chapter 4 | Shares and Dividend | Download PDF ↓ |
| Chapter 5 | Linear Inequations | Download PDF ↓ |
| Chapter 6 | Quadratic Equations | Download PDF ↓ |
| Chapter 7 | Problems on Quadratic Equations | Download PDF ↓ |
| Chapter 8 | Ratio | Download PDF ↓ |
| Chapter 9 | Proportion Reference Content | Download PDF ↓ |
| Chapter 10 | Factor Theorem | Download PDF ↓ |
| Chapter 11 | Matrices | Download PDF ↓ |
| Chapter 12 | Reflection | Download PDF ↓ |
| Chapter 13 | Distance and Section Formulae | Download PDF ↓ |
| Chapter 14 | Equation of a Straight Line | Download PDF ↓ |
| Chapter 15 | Symmetry | Download PDF ↓ |
| Chapter 16 | Similarity As a Size Transformation | Download PDF ↓ |
| Chapter 17 | Similarity of Triangles | Download PDF ↓ |
| Chapter 18 | Loci | Download PDF ↓ |
| Chapter 19 | Chord Properties of A Circles | Download PDF ↓ |
| Chapter 20 | Angle Properties of A Circle | Download PDF ↓ |
| Chapter 21 | Tangent Properties of Circles | Download PDF ↓ |
| Chapter 22 | Constructions | Download PDF ↓ |
| Chapter 23 | Circumference and Area of a Circle | Download PDF ↓ |
| Chapter 24 | Cone and Sphere | Download PDF ↓ |
| Chapter 25 | Trigonometrical Identities | Download PDF ↓ |
| Chapter 26 | Heights and Distances | Download PDF ↓ |
| Chapter 27 | Graphical Representation of Statistical Data | Download PDF ↓ |
| Chapter 28 | Measures of Central Tendency | Download PDF ↓ |
| Chapter 29 | Median Quartiles and Mode | Download PDF ↓ |
| Chapter 30 | Probability | Download PDF ↓ |
How the Curriculum Is Structured
The ICSE Class 10 Mathematics syllabus is prescribed by CISCE and is divided into two broad categories: Pure Mathematics and Applied Mathematics. Pure Mathematics builds formal reasoning skills through topics such as algebra, geometry, and co-ordinate geometry. Applied Mathematics develops practical problem-solving through mensuration, statistics, and probability.
The syllabus is structured so that each topic from Class 9 is extended and examined at a higher level in Class 10. This spiral approach ensures students consolidate earlier concepts while building new skills year by year.
The major topic areas covered in the ICSE Class 10 Maths syllabus are listed below.
- Commercial Mathematics — GST, banking, shares and dividends, with real-world application problems that appear every year in CISCE board papers.
- Algebra — linear inequations, quadratic equations, ratio and proportion, and matrices, demanding both conceptual clarity and calculation accuracy.
- Geometry — circles, tangents, angle properties, and similarity of triangles, tested through formal proofs and numerical problems.
- Mensuration — surface area and volume of cylinders, cones, spheres, and hemispheres, commonly paired with multi-step application questions.
- Trigonometry — trigonometric identities and heights and distances, requiring students to select the right identity under timed conditions.
- Statistics — mean, median, mode from grouped data, cumulative frequency, histograms, and ogives.
- Probability — classical probability including compound events, cards, and dice problems.
- Co-ordinate Geometry — section formula, equation of a straight line, and graphical interpretation.
Marking Scheme Explained
The ICSE Class 10 Maths written paper carries 80 marks and is three hours in duration. An additional 20 marks are awarded through internal assessment, making the total subject score 100 marks. Students must secure the CISCE minimum passing threshold in both components separately.
The written paper is divided into two sections. Section I (40 marks) is compulsory and contains short-answer questions covering the entire syllabus. Section II (40 marks) offers a choice — students attempt four questions out of seven, each carrying 10 marks.
Understanding the internal split helps students prioritise their revision strategy. The table below summarises the marks breakdown at a glance.
| Component | Marks | Duration / Format |
|---|---|---|
| Written Examination (Section I) | 40 | Compulsory short-answer questions |
| Written Examination (Section II) | 40 | Choice-based — 4 out of 7 questions |
| Internal Assessment | 20 | School-based project and assignments |
| Total | 100 | — |
ICSE Class 10 Maths vs CBSE
A common question among parents choosing a board is how ICSE Mathematics compares with the CBSE curriculum. Both boards cover core topics at Class 10 level, but the scope, depth, and assessment style differ in meaningful ways.
The ICSE syllabus includes additional topics — such as matrices, banking, shares and dividends, and co-ordinate geometry applications — that are not part of the CBSE Class 10 Mathematics paper. This broader coverage makes the transition to ISC Class 11 and competitive examination preparation smoother for ICSE students.
The comparison below highlights the key structural differences between the two boards for Class 10 Mathematics.
| Feature | ICSE Class 10 Maths | CBSE Class 10 Maths |
|---|---|---|
| Governing Body | CISCE | CBSE |
| Written Paper Marks | 80 marks | 80 marks (Standard/Basic) |
| Internal Assessment | 20 marks | 20 marks |
| Section Choice | Yes — Section II is choice-based | No internal choice in most questions |
| Exclusive ICSE Topics | Matrices, Banking, Shares & Dividends | Not included |
| Recommended Publisher | Selina Concise, ML Aggarwal | NCERT, RD Sharma |
How to Prepare Effectively
Consistent daily practice is the single most reliable predictor of a strong score in the CISCE board examination. Students who attempt at least five questions per topic daily — rather than passive re-reading — retain problem-solving methods far better under exam conditions.
Using the right reference books makes a measurable difference. Selina Concise Mathematics and ML Aggarwal’s Understanding Mathematics are the two most widely used ICSE-specific titles, both structured strictly around the CISCE syllabus. Frank Brothers and S.Chand also publish reliable supplementary practice books for ICSE Class 10 Maths.
Follow the step-by-step preparation approach below for the most efficient use of study time.
- Download the CISCE specimen paper — identify the highest-weightage topics and plan your schedule around them first.
- Complete Selina Concise chapter exercises — work through every solved example before attempting unsolved problems in each chapter.
- Practise ML Aggarwal exercises — these are slightly harder and excellent for Section II preparation.
- Attempt past ICSE papers under timed conditions — three hours, no breaks, to build exam stamina and time management.
- Review errors in a dedicated notebook — categorise mistakes by topic so revision targets weak areas directly.
- Solve the CISCE marking scheme — understanding how examiners award step marks helps you present working clearly and earn full credit.
Related ICSE Resources
Explore: Class 10 Maths, Physics, Chemistry, Class 9 Maths, All Class 10 Subjects.
Frequently Asked Questions
Bookmark this page for ICSE Class 10 Maths — all PDFs, solutions, and specimen papers are reviewed and updated every academic year to reflect the latest CISCE syllabus. Share this resource with your classmates so everyone has access to free, reliable study materials for the board examination.