Where Mindful Learning Begins
Where Mindful Learning Begins
The official CBSE Class 9 Maths syllabus for 2026-27, explained for teachers, students and parents: unit-wise marks and periods, how the 15 syllabus chapters map to the 14 chapters of the Ganita Manjari textbook, chapter-wise key concepts, the paper design, and a proposed chapter-wise weightage that schools can adjust.
Last updated: 3 October 2026 · Source: CBSE Academic, Mathematics Class IX (2026-27)
The 80-mark theory paper (3 hours) is built from six units. CBSE gives marks and periods for each unit, not for each chapter.
| Unit | Chapters | Periods | Marks |
|---|---|---|---|
| I — Number System | Number System | 12 | 07 |
| II — Algebra | Introduction to Polynomials, Sequences and Progressions, Exploring Algebraic Identities, Linear Equations in Two Variables | 66 | 20 |
| III — Coordinate Geometry | Coordinate Geometry | 6 | 04 |
| IV — Geometry | Introduction to Euclid's Geometry: Axioms and Postulates, Lines and Angles, Triangles — Congruence Theorems, 4-gons (Quadrilaterals), Circles | 69 | 25 |
| V — Mensuration | Area and Perimeter, Surface Area and Volume | 27 | 14 |
| VI — Statistics and Probability | Statistics, Introduction to Probability | 24 | 10 |
| Total (Theory) | 80 | ||
| Internal Assessment | 20 | ||
| Grand Total | 100 | ||
Source: CBSE Academic, Mathematics Class IX (2026-27). Periods are as listed by CBSE for each unit.
CBSE lists 15 chapters; the Ganita Manjari textbook has 14. CBSE does not publish a chapter-to-chapter table, so this mapping is ours, made by matching each syllabus chapter's key concepts to the textbook's chapters.
| # | CBSE syllabus chapter | Unit | Textbook chapter | Match |
|---|---|---|---|---|
| 1 | Number System | I | Ch 3 — The World of Numbers | Direct match |
| 2 | Introduction to Polynomials | II | Ch 2 — Introduction to Linear Polynomials | Direct match |
| 3 | Sequences and Progressions | II | Ch 8 — Predicting What Comes Next: Sequences and Progressions | Direct match |
| 4 | Exploring Algebraic Identities | II | Ch 4 — Exploring Algebraic Identities | Direct match |
| 5 | Linear Equations in Two Variables | II | Ch 13 — Two Variables, One Line | Direct match |
| 6 | Coordinate Geometry | III | Ch 1 — Orienting Yourself: The Use of Coordinates | Direct match |
| 7 | Introduction to Euclid's Geometry: Axioms and Postulates | IV | — | No separate textbook chapter |
| 8 | Lines and Angles | IV | — | No separate textbook chapter |
| 9 | Triangles — Congruence Theorems | IV | Ch 9 — Propositions and their Converses Covers the propositions-and-converses strand listed under Triangles | Partial match |
| 10 | 4-gons (Quadrilaterals) | IV | Ch 12 — Quadrilaterals | Direct match |
| 11 | Circles | IV | Ch 5 — I'm Up and Down, and Round and Round | Direct match |
| 12 | Area and Perimeter | V | Ch 6 — Measuring Space: Perimeter and Area | Direct match |
| 13 | Surface Area and Volume | V | Ch 14 — Math of Space: Surface Area and Volume | Direct match |
| 14 | Statistics | VI | Ch 10 — How Quantities Combine: Understanding Data | Direct match |
| 15 | Introduction to Probability | VI | Ch 7 — The Mathematics of Maybe: Introduction to Probability | Direct match |
Euclid's Geometry and Lines and Angles have no separate textbook chapter, and Triangles is covered only through the propositions-and-converses strand in Chapter 9. Chapter 11, The World of Algorithms, has no syllabus chapter, marks or periods. The syllabus does list computational thinking, including algorithmic problem-solving, as a competency in 12 of its 15 chapters (not in Euclid's Geometry, Triangles or 4-gons), so algorithm-style questions can appear inside other chapters.
CBSE publishes marks by unit only. This table splits each unit's official marks across its chapters. It is a proposal, not an official figure, and schools set their own papers — change any number and the unit totals will tell you whether you are still within CBSE's structure.
| Textbook chapter | Proposed marks | Why |
|---|---|---|
| Unit I — Number System · CBSE marks: 7 | ||
| Ch 3 — The World of Numbers | Only chapter in its unit, so these marks are official, not proposed. | |
| Unit total | 7 | Matches the CBSE unit total (7) |
| Unit II — Algebra · CBSE marks: 20 | ||
| Ch 2 — Introduction to Linear Polynomials | Equal share is 5; lowered by 1 because slope and y-intercept return in Chapter 13. | |
| Ch 4 — Exploring Algebraic Identities | Equal share is 5; raised by 1 — identities and factorisation are used across algebra and mensuration. | |
| Ch 8 — Predicting What Comes Next: Sequences and Progressions | Equal share is 5; lowered by 1 to fund Chapters 4 and 13. | |
| Ch 13 — Two Variables, One Line | Equal share is 5; raised by 1 — graphs, word problems and modelling suit longer and case-based questions. | |
| Unit total | 20 | Matches the CBSE unit total (20) |
| Unit III — Coordinate Geometry · CBSE marks: 4 | ||
| Ch 1 — Orienting Yourself: The Use of Coordinates | Only chapter in its unit, so these marks are official, not proposed. | |
| Unit total | 4 | Matches the CBSE unit total (4) |
| Unit IV — Geometry · CBSE marks: 25 | ||
| Ch 5 — I'm Up and Down, and Round and Round | A proof-heavy chapter that also absorbs part of the marks for Geometry topics with no separate textbook chapter. | |
| Ch 9 — Propositions and their Converses | Kept low: a logic-and-proof chapter that covers only the propositions-and-converses strand of Triangles. | |
| Ch 12 — Quadrilaterals | A proof-heavy chapter that also absorbs part of the marks for Geometry topics with no separate textbook chapter. | |
| Unit total | 25 | Matches the CBSE unit total (25) |
| Unit V — Mensuration · CBSE marks: 14 | ||
| Ch 6 — Measuring Space: Perimeter and Area | Equal split of the unit's 14 marks. | |
| Ch 14 — Math of Space: Surface Area and Volume | Equal split of the unit's 14 marks. | |
| Unit total | 14 | Matches the CBSE unit total (14) |
| Unit VI — Statistics and Probability · CBSE marks: 10 | ||
| Ch 7 — The Mathematics of Maybe: Introduction to Probability | Equal split of the unit's 10 marks. | |
| Ch 10 — How Quantities Combine: Understanding Data | Equal split of the unit's 10 marks. | |
| Unit total | 10 | Matches the CBSE unit total (10) |
| Not in CBSE's course structure · CBSE marks: 0 | ||
| Ch 11 — The World of Algorithms | No chapter, periods or marks in the course structure. A school that assesses it can take 2–3 marks of competency-based questions from Number System and keep the total at 80. | |
| Unit total | 0 | Matches the CBSE unit total (0) |
| Total | 80 | Total matches the 80-mark paper |
Unit totals (Number System 7, Algebra 20, Coordinate Geometry 4, Geometry 25, Mensuration 14, Statistics and Probability 10) are official. Everything inside a unit is our proposal. Your edits are not saved; use Print to keep a copy.
For guidance on constructing and marking a paper from this weightage, see our paper-setting guidance.
CBSE lists five Geometry chapters worth 25 marks, about 5 each on an equal split. The textbook has separate chapters for only two of them (Circles and Quadrilaterals), so the marks for Euclid's Geometry, Lines and Angles, and Triangles are spread across Chapters 5 and 12, and Chapter 9 is kept low. Teachers who cover more of those topics through Chapter 9 may want to move some marks there.
The key concepts CBSE lists for each of the 15 syllabus chapters, condensed, with the notable items from each chapter's learning outcomes. Open the official PDF for the full outcome statements and competency codes.
Outcomes also mention applying computational thinking to generate decimal expansions step by step and to represent numbers through algorithms and visual models.
Outcomes include graphing a linear equation in two variables and identifying its slope and y-intercept.
Outcomes include solving the Tower of Hanoi puzzle and analysing the attributes of fractals using GP.
Outcomes include interpreting the factors of quadratic expressions through geometric models.
Outcomes include determining the nature of solutions and modelling everyday situations with a pair of linear equations.
Outcomes also mention representing a floor plan on a grid, testing whether three points lie on a line, and checking whether a triangle is right-angled using coordinates.
Outcomes include stating Euclid's five postulates and describing the contributions of India, Egypt and Greece.
Outcomes include the linear pair theorem and its converse, proof by contradiction, and why a triangle must have at least two acute angles.
Outcomes include the SAS, SSS, ASA, RHS and AAS conditions, properties of isosceles triangles, converses and counterexamples, and why SSA is not generally a valid condition.
Outcomes include the converse of the midpoint theorem, concurrency of medians with the 2:1 ratio, the midpoint parallelogram of any 4-gon, reflection and rotation symmetries, and how any 4-gon tiles the plane.
Outcomes include constructing the circumcircle, the angle-at-the-centre theorem, angles in the same segment, the angle in a semicircle, and the cyclic-quadrilateral test.
Outcomes include historical approximations of π (Archimedes, Aryabhata, Zu Chongzhi) and the ideas of special case and generalisation.
Outcomes cover the surface area and volume of cuboids, cubes, cylinders, cones, pyramids and spheres.
Outcomes include computing the weighted average and reading stacked and 100% stacked bar graphs.
Outcomes include estimating empirical probability and computing probability with tree diagrams and tables.
Source: CBSE Academic, Mathematics Class IX (2026-27), unit-wise chapter tables.
CBSE designs the paper by the kind of thinking a question needs. It does not fix the mix of question formats such as MCQs, assertion-reason, short, long or case-study questions, so schools decide that.
| Thinking level | Marks | Weightage (approx.) |
|---|---|---|
| Remembering and Understanding — recall facts, terms and basic concepts; explain, compare and interpret ideas | 43 | 54% |
| Applying — use knowledge, techniques and rules in new situations | 19 | 24% |
| Analysing, Evaluating and Creating — break information into parts, judge ideas, and combine elements in new ways | 18 | 22% |
| Total | 80 | 100% |
The same 54 / 24 / 22 split applied in the 2025-26 syllabus.
For how these thinking levels and the chapter weightage come together in an actual paper, see our paper-setting guidance.
| Component | Marks |
|---|---|
| Pen Paper Test and Multiple Assessment (5 + 5) | 10 |
| Portfolio | 5 |
| Lab Practical — activities taken from the prescribed lab books | 5 |
| Total | 20 |
Lab practical activities and how to set and mark an 80-mark paper
CBSE names four: the NCERT Class IX Mathematics textbook; Guidelines for Mathematics Laboratory in Schools, Class IX (CBSE); Laboratory Manual — Mathematics, Secondary Stage (NCERT); and Mathematics Exemplar Problems for Class IX (NCERT). Our Lab Manual & Activities guide uses it in detail.
| Unit | 2025-26 | 2026-27 | Change |
|---|---|---|---|
| Number System | 10 | 7 | −3 |
| Algebra | 20 | 20 | No change |
| Coordinate Geometry | 4 | 4 | No change |
| Geometry | 27 | 25 | −2 |
| Mensuration | 13 | 14 | +1 |
| Statistics (2025-26) / Statistics and Probability (2026-27) | 6 | 10 | +4 |
| Total | 80 | 80 |
Sources: CBSE Academic, Mathematics Class IX syllabi for 2025-26 and 2026-27.
Sequences and Progressions and Introduction to Probability are new chapters, and Algebraic Identities is now its own chapter. Area and Perimeter now brings Heron's formula together with the circle, sector and Brahmagupta's formula. The syllabus also builds in India's mathematical history — Baudhayana's Sulbasutras, Brahmagupta's formula, Aryabhata's sine and cosine, and Madhava's series for π. Some older pages still show Geometry as 27 marks, which is the 2025-26 figure.
An 80-mark, 3-hour mock paper built from the weightage above: 38 questions across five sections, with 9 carrying internal choice, and a marking scheme with student-style model answers. Free to download.
80 marks · 3 hours · 38 questions · 9 with internal choice
For how this paper was constructed and marked — the section layout, chapter ordering, internal-choice pattern and marking principles — see our paper-setting guidance.
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