Class 9 maths syllabus: units, chapters and marks

Six units and their weight in the CBSE 9th maths syllabus

The periods column tells you how much classroom time CBSE expects each unit to need. Geometry and algebra each get over 60 periods, while coordinate geometry needs only six, which matches its four marks.

Class 9 maths syllabus chapters, unit by unit

• Number System: the number system, covering rational and irrational numbers on the number line and their decimal forms.
• Algebra: Introduction to Polynomials; Sequences and Progressions; Exploring Algebraic Identities; and linear equations with two variables.
• Coordinate Geometry: plotting points on the Cartesian plane and reading coordinates.
• Geometry: Introduction to Euclid's Geometry (axioms and postulates); Lines and Angles; Triangles and congruence theorems; 4-gons, that is quadrilaterals; Circles.
• Mensuration: Area and Perimeter; Surface Area and Volume.
• Statistics and Probability: Statistics; Introduction to Probability.

That gives 15 chapters in the official curriculum. The textbook may group or name them a little differently, so use the curriculum list to check that nothing is missed.

The new NCERT book: Ganita Manjari Part 1

Ganita Manjari replaces the older class 9 maths textbook. Part 1 has eight chapters with descriptive titles:

1. Orienting Yourself: The Use of Coordinates
2. Introduction to Linear Polynomials
3. The World of Numbers
4. Exploring Algebraic Identities
5. I'm Up and Down, and Round and Round
6. Measuring Space: Perimeter and Area
7. The Mathematics of Maybe: Introduction to Probability
8. Predicting What Comes Next: Exploring Sequences and Progressions

The remaining curriculum chapters, such as Euclid's geometry, triangles, quadrilaterals, circles, statistics and surface areas, are expected in Part 2. If you search for the class 9 maths syllabus NCERT follows, this two part arrangement is why older chapter lists will not match your book.

Internal assessment and paper design

The 20 internal marks are split this way:

• Pen and paper tests and multiple assessment: 10 marks (5 + 5)
• Portfolio of class work and assignments: 5 marks
• Lab practical, based on activities in the prescribed books: 5 marks

The 80 mark theory paper runs for three hours. CBSE's design gives about 43 marks to remembering and understanding, about 19 marks to applying, and about 18 marks to analysing, evaluating and creating. In plain terms, roughly one question in four or five tests whether you can reason through an unfamiliar situation, not just repeat a textbook method.

Optional advanced maths

CBSE also offers a higher level of mathematics that a student can take alongside the standard course from class 9. Its material covers sets, logarithms, relations and functions, further coordinate geometry, combinatorics and more progressions. This is in addition to, not instead of, the standard syllabus described above.

Take it only if you already enjoy maths and are comfortable with the standard chapters. Check with your teachers about availability and the assessment method, because rules for this level are being phased in.

How to study the heavy units

Geometry (25 marks): write every theorem statement on one sheet, then practise proofs aloud once a week. Draw figures large and label them before you start writing reasons.

Algebra (20 marks): identities pay off across the whole course. Expand and factorise a few expressions daily until patterns like the square of a sum feel automatic. For progressions, build the first few terms by hand before using a formula.

Mensuration (14 marks): keep a formula card for perimeter, area, surface area and volume, and always write units in the final answer.

Probability: run real experiments with coins or dice and record results in a table. The new book wants you to see why the answer is a fraction of outcomes.

A simple term plan

• First term: Part 1 chapters, from coordinates and polynomials to probability and sequences. Practise in-text questions first, then exercises.
• Second term: Part 2 chapters as they are taught, with weekly revision of algebraic identities.
• Last six weeks: full three hour papers under timed conditions, and a review of every mistake in a separate notebook.

NCERT exemplar problems and the CBSE lab manual activities are useful for extra practice and for the internal lab marks. Free textbooks are on the NCERT website.

Related class 9 and class 10 pages

See how maths fits with your other subjects on the CBSE class 9 syllabus overview, or open the class 9 science syllabus and the class 9 SST syllabus. Since class 10 builds directly on this year, a look at the CBSE class 10 maths syllabus helps you see which chapters to master now. Other boards are covered under school boards.