Class 7 ICSE maths syllabus is the official mathematics course framework — prescribed by CISCE for students in Grade 7 across all ICSE-affiliated schools. The syllabus is designed by the Council for the Indian School Certificate Examinations (CISCE), the governing body headquartered in New Delhi. ICSE Class 7 Mathematics builds a strong foundation in number systems, algebra, geometry, and data handling, preparing students for the rigorous Class 9 and 10 board years. On this page, you will find the complete chapter list, marking scheme, curriculum structure, and completely free PDF study materials for Class 7 ICSE Maths.
On This Page
- Free Class 7 ICSE Maths Syllabus PDF Downloads
- How the Class 7 ICSE Curriculum Is Structured
- Chapter-Wise Topics in Class 7 ICSE Maths
- Marking Scheme and Assessment Pattern
- Class 7 ICSE Syllabus vs CBSE: Key Differences
- How to Cover the Class 7 ICSE Maths Syllabus Effectively
- Frequently Asked Questions
Free Class 7 ICSE Maths Syllabus PDF Downloads
The PDFs below cover the complete class 7 ICSE maths syllabus as prescribed by CISCE for the 2026-27 academic session, including chapter-wise topic lists, recommended textbooks from publishers like Selina Concise and ML Aggarwal, and solved exercise guides to help students practise every concept before exams.
ICSE Class 7 Mathematics — Free PDF Download
| Chapter | Topic | Download PDF |
|---|---|---|
| Chapter 1 | Number System | Download PDF ↓ |
| Chapter 2 | Power and Roots | Download PDF ↓ |
| Chapter 3 | HCF LCM | Download PDF ↓ |
| Chapter 4 | Fraction | Download PDF ↓ |
| Chapter 5 | Decimal Fractions | Download PDF ↓ |
| Chapter 6 | Unitary Method | Download PDF ↓ |
| Chapter 7 | Speed Distance Time | Download PDF ↓ |
| Chapter 8 | Ratio Proportion | Download PDF ↓ |
| Chapter 9 | Percent Percentage | Download PDF ↓ |
| Chapter 10 | Profit Loss Discount | Download PDF ↓ |
| Chapter 11 | Simple Interest | Download PDF ↓ |
| Chapter 12 | Averages | Download PDF ↓ |
| Chapter 13 | Fundamental Concepts | Download PDF ↓ |
| Chapter 14 | Products | Download PDF ↓ |
| Chapter 15 | Simplifications | Download PDF ↓ |
| Chapter 16 | Equations and Inequations | Download PDF ↓ |
| Chapter 17 | Formula Change of Subject of a Formula | Download PDF ↓ |
| Chapter 18 | Problems Based on Simple Equations | Download PDF ↓ |
| Chapter 19 | Fractorisation | Download PDF ↓ |
| Chapter 20 | Graphs Plotting of points Co Ordinates | Download PDF ↓ |
| Chapter 21 | Relations and Mapping | Download PDF ↓ |
| Chapter 22 | Indices | Download PDF ↓ |
| Chapter 23 | Lines and Angles | Download PDF ↓ |
| Chapter 24 | Triangles | Download PDF ↓ |
| Chapter 25 | Symmetry | Download PDF ↓ |
| Chapter 26 | Congruency Congruent Triangles | Download PDF ↓ |
| Chapter 27 | Polygons | Download PDF ↓ |
| Chapter 28 | Construction of Quadrilaterals | Download PDF ↓ |
| Chapter 29 | Introduction of Theorem | Download PDF ↓ |
| Chapter 30 | Circles | Download PDF ↓ |
| Chapter 31 | Perimeter and Area | Download PDF ↓ |
| Chapter 32 | Volume and Surface Area | Download PDF ↓ |
| Chapter 33 | Collection and Tabulation of Data | Download PDF ↓ |
| Chapter 34 | Set Concepts | Download PDF ↓ |
| Chapter 35 | Subsets Universal Set | Download PDF ↓ |
| Chapter 36 | Venn Diagram | Download PDF ↓ |
ICSE Class 7 Physics — Free PDF Download
| Chapter | Topic | Download PDF |
|---|---|---|
| Chapter 1 | Measurement | Download PDF ↓ |
| Chapter 2 | Motion | Download PDF ↓ |
| Chapter 3 | Sound | Download PDF ↓ |
| Chapter 4 | Heat | Download PDF ↓ |
| Chapter 5 | Light The Basic Idea of Shadow | Download PDF ↓ |
| Chapter 6 | Reflection of Light Plane Mirrors | Download PDF ↓ |
| Chapter 7 | Reflection of Light Spherical Mirrors | Download PDF ↓ |
| Chapter 8 | Electricity | Download PDF ↓ |
ICSE Class 7 Chemistry — Free PDF Download
| Chapter | Topic | Download PDF |
|---|---|---|
| Chapter 1 | Elements and Compounds Atoms and Molecules | Download PDF ↓ |
| Chapter 2 | Structure of an Atom | Download PDF ↓ |
| Chapter 3 | Physical and Chemical Changes Chemical Equation | Download PDF ↓ |
| Chapter 4 | Air and Its Constituents | Download PDF ↓ |
| Chapter 5 | Water | Download PDF ↓ |
| Chapter 6 | Acids Bases and Salts | Download PDF ↓ |
| Chapter 7 | Chemistry in Our Life | Download PDF ↓ |
| Chapter 8 | Wastes | Download PDF ↓ |
ICSE Class 7 Biology — Free PDF Download
| Chapter | Topic | Download PDF |
|---|---|---|
| Chapter 1 | Cell The Structural and Functional Unit of Life | Download PDF ↓ |
| Chapter 2 | Organisation in Living Things | Download PDF ↓ |
| Chapter 3 | Movement in Animals and Plants | Download PDF ↓ |
| Chapter 4 | Nutrition in Animals and Plants | Download PDF ↓ |
| Chapter 5 | Ingestion Digestion Absorption and Assimilation | Download PDF ↓ |
| Chapter 6 | Respiration and Transpiration | Download PDF ↓ |
| Chapter 7 | Excretion in Animals and Plants | Download PDF ↓ |
| Chapter 8 | Increasing Population Its Impact on The Environm | Download PDF ↓ |
| Chapter 9 | Life Under A Microscope | Download PDF ↓ |
How the Class 7 ICSE Curriculum Is Structured
The class 7 ICSE syllabus follows a structured, concept-first approach across all subjects. In Mathematics, CISCE organises the content into five broad strands: Number System, Ratio and Proportion, Algebra, Geometry, and Statistics. Each strand builds directly on Class 6 learning outcomes and lays the groundwork for Class 8 topics.
Unlike curricula that emphasise rote learning, the ICSE board prioritises conceptual understanding and application. Students are expected to not only solve problems but also explain their reasoning — a skill tested in school assessments throughout the year. This approach distinguishes ICSE from many other Indian boards at the middle-school level.
CISCE issues the official syllabus document at the start of each academic session. Schools affiliated with the ICSE board are required to follow this framework, though they retain flexibility in choosing from CISCE-approved textbooks such as Selina Concise Mathematics and ML Aggarwal for ICSE.
Chapter-Wise Topics in Class 7 ICSE Maths
The following topics form the core of the Class 7 ICSE Mathematics programme. These are drawn from the CISCE-prescribed framework and covered in both Selina Concise and ML Aggarwal editions for Class 7:
Number System and Arithmetic
This strand covers integers, fractions, decimals, and rational numbers, forming the numerical backbone of Class 7 Maths. Students learn operations on integers, properties of rational numbers, and conversions between fractions and decimals. These topics appear consistently in school terminal examinations.
- Integers — operations, number line, and real-world applications
- Fractions and Decimals — multiplication, division, and word problems
- Rational Numbers — representation, comparison, and arithmetic operations
- Exponents and Powers — laws of exponents with positive and negative bases
- Ratio and Proportion — unitary method, direct and inverse proportion
Algebra
Algebra in Class 7 ICSE introduces students to algebraic expressions, equations, and basic identities. The focus is on forming and solving linear equations in one variable, which directly feeds into Class 8 and Class 9 algebra topics. ML Aggarwal and Selina Concise both dedicate multiple chapters to this strand.
- Algebraic Expressions — terms, factors, coefficients, and like/unlike terms
- Linear Equations — solving equations in one variable with word problems
- Simple Inequalities — understanding inequality symbols and basic solutions
Geometry and Mensuration
Geometry forms a significant portion of the class 7 ICSE maths syllabus. Students study lines, angles, triangles, congruence, and properties of quadrilaterals. Mensuration covers perimeter and area of plane figures, including composite shapes. Practical geometry — using ruler and compass constructions — is also included.
- Lines and Angles — pairs of angles, transversal, parallel lines
- Triangles — properties, angle sum, exterior angles, congruence criteria
- Quadrilaterals — types, properties, and angle sum
- Perimeter and Area — rectangles, triangles, parallelograms, and composite figures
- Practical Geometry — constructions of triangles and angles
Data Handling and Statistics
Data handling introduces students to collection, organisation, and representation of data. Topics include frequency tables, bar graphs, pie charts, and basic probability concepts. CISCE includes this strand to develop analytical thinking from an early stage in the ICSE curriculum.
Marking Scheme and Assessment Pattern
At the Class 7 level, ICSE does not conduct a centralised board examination — assessments are internal and conducted by the school. However, CISCE provides a recommended weightage pattern that most ICSE-affiliated schools follow. Understanding this pattern helps students and parents plan revision effectively.
Schools typically conduct two terminal examinations (mid-year and annual) along with periodic unit tests. The annual examination generally carries the highest weightage and covers the full class 7 ICSE maths syllabus. Internal assessment components — including classwork, homework, and projects — contribute to the final grade as well.
| Assessment Component | Typical Weightage | Coverage |
|---|---|---|
| Annual Examination | 60–70% | Full syllabus |
| Mid-Year / Half-Yearly Exam | 20–25% | First half of syllabus |
| Unit Tests and Internal Assessment | 10–15% | Recent chapters covered |
Note: Exact weightages vary by school. Parents should refer to the school’s academic calendar for confirmed examination schedules and marking breakdowns.
Class 7 ICSE Syllabus vs CBSE: Key Differences
A common question among parents is how the class 7 ICSE syllabus compares with CBSE at the same level. Both boards cover similar mathematical concepts, but ICSE is generally considered more detailed in its treatment of topics, especially in Geometry and Algebra. The table below highlights the key differences:
| Feature | ICSE Class 7 Maths | CBSE Class 7 Maths |
|---|---|---|
| Governing Body | CISCE, New Delhi | CBSE, New Delhi |
| Prescribed Textbook | Selina Concise / ML Aggarwal | NCERT Mathematics |
| Syllabus Depth | More detailed; extra sub-topics | Moderate; NCERT-aligned |
| Geometry Coverage | Includes practical constructions | Conceptual, less construction focus |
| Assessment Style | School-based; descriptive answers | School-based; MCQ and descriptive |
| Language of Instruction | English only | English or Hindi medium |
Students who study the ICSE curriculum in Classes 6–8 generally find the transition to ICSE board examinations in Classes 9 and 10 smoother, because the depth of coverage has already been established.
How to Cover the Class 7 ICSE Maths Syllabus Effectively
Completing the class 7 ICSE maths syllabus requires consistent practice rather than last-minute preparation. Because ICSE assessments emphasise application and reasoning, students benefit most from solving a variety of problems — not just textbook exercises. Here are structured steps to approach the syllabus:
- Use the CISCE syllabus document — download the PDF from this page and tick off chapters as you complete them.
- Follow Selina Concise or ML Aggarwal — these ICSE-specific publishers align directly with CISCE requirements, unlike NCERT books.
- Solve all exercise types — objective, short-answer, and long-answer questions all appear in school exams.
- Revise Geometry constructions separately — practical geometry requires regular hands-on practice with instruments.
- Attempt previous year school papers — available as free PDFs on icseboard.org, these show the exact question format used in ICSE schools.
- Focus on word problems in Ratio, Proportion, and Algebra — these are the highest-scoring yet most commonly dropped topics.
Frank Brothers and S.Chand also publish supplementary practice books for ICSE Class 7, which are useful for additional problem sets beyond the main textbook exercises.
Related ICSE Resources
Explore: Class 10 Maths, Class 9 Maths, Class 8 Maths, Class 7 Science, and Class 7 English — all with free PDF downloads updated for the 2026-27 session.
Frequently Asked Questions
The class 7 ICSE maths syllabus gives students a rigorous, concept-driven foundation that directly supports success in ICSE board years. Bookmark this page — icseboard.org updates all syllabus PDFs and resources at the start of every academic session to reflect the latest CISCE guidelines.