icse class 10 maths previous year question papers are the most reliable board exam preparation tool — giving students direct insight into CISCE question patterns and marking schemes. These papers are set by the Council for the Indian School Certificate Examinations (CISCE), the governing body that administers the Class 10 ICSE board examination each year. ICSE Maths papers are known for their analytical depth, covering algebra, geometry, statistics, and mensuration with application-based questions. On this page, you will find year-wise PDFs, solved papers, marking scheme breakdowns, and completely free PDF study materials updated for 2025–26.
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Free ICSE Class 10 Maths Previous Year Question Papers PDF Downloads
These PDFs include official CISCE question papers from 2015 to 2024, complete with step-by-step solutions prepared by experienced ICSE Mathematics educators, and are updated to reflect the 2025–26 syllabus guidelines. Each paper is sourced from CISCE official releases and cross-checked against Selina Concise and ML Aggarwal publisher frameworks for accuracy.
| 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 ↓ |
Understanding the ICSE Maths Paper Pattern
The ICSE Class 10 Mathematics paper carries 80 marks and is divided into two sections. Section A is compulsory and carries 40 marks, while Section B requires students to attempt any four questions out of six, each carrying 10 marks. The examination duration is two and a half hours.
Questions test conceptual understanding alongside procedural accuracy, which is why simply memorising formulas is not sufficient. Reviewing icse maths class 10 previous year question papers helps students recognise which topic combinations appear together and how multi-step problems are typically structured by CISCE examiners.
The following sections typically feature in every ICSE Class 10 Maths paper:
- Commercial Mathematics — banking, shares and dividends, GST problems that require multi-step calculation
- Algebra — quadratic equations, ratio and proportion, and factorisation with remainder theorem applications
- Geometry — circle theorems, tangents, and similarity proofs that carry consistent marks each year
- Mensuration — surface area and volume of solids including cylinders, cones, and spheres
- Trigonometry — heights and distances, identities, and angle-of-elevation problems
- Statistics and Probability — mean, median, mode, ogives, and basic probability calculations
- Co-ordinate Geometry — straight line equations, distance formula, and section formula
Year-Wise Topic Analysis of ICSE Maths Papers
Analysing icse maths class 10 previous year question papers across multiple years reveals predictable patterns in how CISCE distributes marks across topics. Certain units such as circle theorems and commercial mathematics appear in nearly every paper with only minor variation in context.
The table below summarises the approximate mark weightage observed in recent ICSE Class 10 Maths board papers. Use this alongside your Selina Concise or ML Aggarwal textbook to prioritise revision.
| Topic | Approx. Marks (Section A) | Approx. Marks (Section B) | Frequency |
|---|---|---|---|
| Commercial Mathematics | 10–12 | 10 | Every year |
| Algebra | 10–12 | 10 | Every year |
| Circle Theorems / Geometry | 8–10 | 10 | Every year |
| Mensuration | 4–6 | 10 | Every year |
| Trigonometry | 4–6 | 10 | Every year |
| Statistics and Probability | 4–6 | 10 | Every year |
| Co-ordinate Geometry | 2–4 | 10 | Every year |
How to Use Previous Year Papers Effectively
Downloading papers is only the first step — how you practise with them determines the outcome. ICSE examiners reward students who show full working, label diagrams correctly, and present answers in the expected format. Following a structured approach while using these papers will help build both speed and accuracy.
Follow these steps when practising with icse maths class 10 previous year question papers:
- Simulate exam conditions — attempt each paper within 2.5 hours without referring to notes or textbooks
- Mark your own script — use the official CISCE marking scheme PDF to award marks step by step, not just for final answers
- Identify weak topics — note every question where you lost more than half the marks and revise that chapter in Selina Concise or ML Aggarwal
- Re-attempt after revision — redo the same paper one week later to confirm the concept is secure
- Track improvement — maintain a simple score sheet across six to eight papers to spot whether your Section B topic choices are consistent
Students who complete at least eight full papers under timed conditions typically report greater confidence in managing the Section B choice, which is where marks are most often lost through poor topic selection rather than lack of knowledge.
ICSE Maths vs CBSE Maths — Key Differences
Parents and students frequently compare the ICSE and CBSE board examinations when choosing a school or planning for competitive entrance tests. Both boards cover broadly similar mathematical content at Class 10 level, but the examination structure and question style differ meaningfully.
| Feature | ICSE (CISCE) | CBSE |
|---|---|---|
| Total Marks (Board Exam) | 80 marks written + 20 internal | 80 marks written + 20 internal |
| Paper Sections | Section A (compulsory) + Section B (choice) | Five sections, all compulsory |
| Question Style | Application-based, multi-step | Mix of MCQ, short answer, long answer |
| Syllabus Depth | Broader, includes commercial maths and loci | Focused, fewer optional topics |
| Recommended Textbook | Selina Concise, ML Aggarwal, S.Chand | NCERT Mathematics |
| Grading System | Marks-based with percentage | CGPA scale (A1–E) |
The ICSE paper’s Section B choice means students must strategically select four questions from six — a skill that only develops through repeated practice with actual CISCE papers. CBSE students do not face this kind of strategic decision-making in their board papers.
ICSE Class 10 Maths Marking Scheme Explained
CISCE publishes a detailed marking scheme for each year’s paper, specifying the marks awarded at every step of a solution. This is known as the Model Answer or Examiner’s Marking Scheme, and it makes ICSE a particularly transparent examination system for students and teachers.
Understanding how marks are distributed within a single question is as important as knowing how to solve it. Key principles of the ICSE Maths marking scheme include:
- Step marks — partial credit is awarded for correct working even if the final answer is wrong
- Method marks — choosing the correct approach to a problem earns marks independently of arithmetic accuracy
- Accuracy marks — reserved for the correct final answer, typically the last one or two marks of a question
- Diagram and construction marks — in geometry, a correctly drawn figure may carry separate marks under CISCE guidelines
This step-marking approach means a student who understands the method but makes a calculation error can still score 7 or 8 out of 10 on a question. Practising with the marking scheme PDF open — available in our download section above — is the most efficient way to internalise this system before the board exam.
Related ICSE Resources
Explore: Class 10 Maths, Class 10 Physics, Class 9 Maths, Class 10 Chemistry, Class 10 Biology.
Frequently Asked Questions
These icse class 10 maths previous year question papers are updated annually after each CISCE board examination — bookmark this page and return each March for the latest paper and official marking scheme. Consistent practice with real past papers remains the single most effective strategy for scoring above 90 in the ICSE Mathematics board examination.