ICSE Board

Class 7 ICSE Maths Syllabus 2026-27 | Free PDF Download

Reviewed by , Senior ICSE Educator (12 years)Updated for 2026-27 academic yearSource: CISCE Official Website

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.

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

ChapterTopicDownload PDF
Chapter 1Number SystemDownload PDF ↓
Chapter 2Power and RootsDownload PDF ↓
Chapter 3HCF LCMDownload PDF ↓
Chapter 4FractionDownload PDF ↓
Chapter 5Decimal FractionsDownload PDF ↓
Chapter 6Unitary MethodDownload PDF ↓
Chapter 7Speed Distance TimeDownload PDF ↓
Chapter 8Ratio ProportionDownload PDF ↓
Chapter 9Percent PercentageDownload PDF ↓
Chapter 10Profit Loss DiscountDownload PDF ↓
Chapter 11Simple InterestDownload PDF ↓
Chapter 12AveragesDownload PDF ↓
Chapter 13Fundamental ConceptsDownload PDF ↓
Chapter 14ProductsDownload PDF ↓
Chapter 15SimplificationsDownload PDF ↓
Chapter 16Equations and InequationsDownload PDF ↓
Chapter 17Formula Change of Subject of a FormulaDownload PDF ↓
Chapter 18Problems Based on Simple EquationsDownload PDF ↓
Chapter 19FractorisationDownload PDF ↓
Chapter 20Graphs Plotting of points Co OrdinatesDownload PDF ↓
Chapter 21Relations and MappingDownload PDF ↓
Chapter 22IndicesDownload PDF ↓
Chapter 23Lines and AnglesDownload PDF ↓
Chapter 24TrianglesDownload PDF ↓
Chapter 25SymmetryDownload PDF ↓
Chapter 26Congruency Congruent TrianglesDownload PDF ↓
Chapter 27PolygonsDownload PDF ↓
Chapter 28Construction of QuadrilateralsDownload PDF ↓
Chapter 29Introduction of TheoremDownload PDF ↓
Chapter 30CirclesDownload PDF ↓
Chapter 31Perimeter and AreaDownload PDF ↓
Chapter 32Volume and Surface AreaDownload PDF ↓
Chapter 33Collection and Tabulation of DataDownload PDF ↓
Chapter 34Set ConceptsDownload PDF ↓
Chapter 35Subsets Universal SetDownload PDF ↓
Chapter 36Venn DiagramDownload PDF ↓

ICSE Class 7 Physics — Free PDF Download

ChapterTopicDownload PDF
Chapter 1MeasurementDownload PDF ↓
Chapter 2MotionDownload PDF ↓
Chapter 3SoundDownload PDF ↓
Chapter 4HeatDownload PDF ↓
Chapter 5Light The Basic Idea of ShadowDownload PDF ↓
Chapter 6Reflection of Light Plane MirrorsDownload PDF ↓
Chapter 7Reflection of Light Spherical MirrorsDownload PDF ↓
Chapter 8ElectricityDownload PDF ↓

ICSE Class 7 Chemistry — Free PDF Download

ChapterTopicDownload PDF
Chapter 1Elements and Compounds Atoms and MoleculesDownload PDF ↓
Chapter 2Structure of an AtomDownload PDF ↓
Chapter 3Physical and Chemical Changes Chemical EquationDownload PDF ↓
Chapter 4Air and Its ConstituentsDownload PDF ↓
Chapter 5WaterDownload PDF ↓
Chapter 6Acids Bases and SaltsDownload PDF ↓
Chapter 7Chemistry in Our LifeDownload PDF ↓
Chapter 8WastesDownload PDF ↓

ICSE Class 7 Biology — Free PDF Download

ChapterTopicDownload PDF
Chapter 1Cell The Structural and Functional Unit of LifeDownload PDF ↓
Chapter 2Organisation in Living ThingsDownload PDF ↓
Chapter 3Movement in Animals and PlantsDownload PDF ↓
Chapter 4Nutrition in Animals and PlantsDownload PDF ↓
Chapter 5Ingestion Digestion Absorption and AssimilationDownload PDF ↓
Chapter 6Respiration and TranspirationDownload PDF ↓
Chapter 7Excretion in Animals and PlantsDownload PDF ↓
Chapter 8Increasing Population Its Impact on The EnvironmDownload PDF ↓
Chapter 9Life Under A MicroscopeDownload 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 ComponentTypical WeightageCoverage
Annual Examination60–70%Full syllabus
Mid-Year / Half-Yearly Exam20–25%First half of syllabus
Unit Tests and Internal Assessment10–15%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:

FeatureICSE Class 7 MathsCBSE Class 7 Maths
Governing BodyCISCE, New DelhiCBSE, New Delhi
Prescribed TextbookSelina Concise / ML AggarwalNCERT Mathematics
Syllabus DepthMore detailed; extra sub-topicsModerate; NCERT-aligned
Geometry CoverageIncludes practical constructionsConceptual, less construction focus
Assessment StyleSchool-based; descriptive answersSchool-based; MCQ and descriptive
Language of InstructionEnglish onlyEnglish 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:

  1. Use the CISCE syllabus document — download the PDF from this page and tick off chapters as you complete them.
  2. Follow Selina Concise or ML Aggarwal — these ICSE-specific publishers align directly with CISCE requirements, unlike NCERT books.
  3. Solve all exercise types — objective, short-answer, and long-answer questions all appear in school exams.
  4. Revise Geometry constructions separately — practical geometry requires regular hands-on practice with instruments.
  5. Attempt previous year school papers — available as free PDFs on icseboard.org, these show the exact question format used in ICSE schools.
  6. 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 covers Number System (integers, fractions, rational numbers), Algebra (algebraic expressions, linear equations), Geometry (lines, angles, triangles, quadrilaterals), Mensuration (area and perimeter), and Data Handling. These topics are covered in CISCE-approved textbooks such as Selina Concise and ML Aggarwal for Class 7.

The two most widely used textbooks for Class 7 ICSE Maths are Selina Concise Mathematics and ML Aggarwal for ICSE. Both are aligned with the CISCE syllabus and provide graded exercises ranging from basic to application-level problems. Your school will typically specify which one to follow.

The class 7 ICSE maths syllabus is generally considered more detailed than the CBSE equivalent, particularly in Geometry and Algebra, where ICSE goes into greater depth. CBSE Class 7 follows the NCERT textbook, which covers similar topics but with fewer sub-topics and a lighter treatment of practical geometry.

No, CISCE does not conduct a centralised board examination for Class 7. Assessments at this level are fully school-based, including mid-year and annual examinations administered by the individual school. The first CISCE-conducted board examination is the ICSE (Class 10) examination.

You can download the complete Class 7 ICSE Maths syllabus PDF for free directly from this page on icseboard.org using the download table above. The PDFs are updated for the 2026-27 academic session and include the chapter-wise topic list as prescribed by CISCE.

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.