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Class 9 Maths Notes — NCERT Ganita Manjari (2026-27)

Ganita Manjari is the new NCERT Mathematics book for Class 9 from the 2026-27 session. It replaces the old 'Mathematics: Textbook for Class IX' and comes in two parts. The chapters lean on reasoning, patterns and real situations, so these notes explain why each result is true, not just what to memorise.

All chapters

Ganita Manjari Part I

  1. 1Orienting Yourself: The Use of CoordinatesThe Cartesian plane and ordered pairs · Quadrants and points on the axes · Distance between two points · Midpoint and section formula · Using coordinates to test shapes5 concepts
  2. 2Introduction to Linear PolynomialsPolynomials: terms, coefficients and degree · Linear polynomials and their zeros · Linear patterns · Linear growth and linear decay · Linear relationships and their graphs5 concepts
  3. 3The World of NumbersFrom counting numbers to integers · Rational numbers and absolute value · Rational numbers between two rationals · Irrational numbers · Real numbers on the number line · Decimal expansions6 concepts
  4. 4Exploring Algebraic IdentitiesIdentities and the square identities · More identities: (a+b+c)² and a² − b² · Factorisation using identities · Splitting the middle term · Cube identities · Simplifying rational expressions6 concepts
  5. 5I'm Up and Down, and Round and RoundCircle vocabulary and symmetry · The circle through three points · Chords and the centre · Angles subtended by arcs · Cyclic quadrilaterals5 concepts
  6. 6Measuring Space: Perimeter and AreaPerimeter, circumference and π · Arc length · Areas of rectangles, parallelograms and triangles · Heron's formula · Brahmagupta's formula · Area of a circle, sector and segment6 concepts
  7. 7The Mathematics of Maybe: Introduction to ProbabilityThe probability scale · Experimental and theoretical probability · Sample space, events and complements · Tree diagrams4 concepts
  8. 8Predicting What Comes Next: Exploring Sequences and ProgressionsSequences: explicit and recursive rules · Arithmetic progressions · Sum of the first n natural numbers · Geometric progressions · Fractals and visualising growth5 concepts

Ganita Manjari Part II

  1. 9Propositions and their ConversesPropositions and if–then statements · The converse of a statement · Counterexamples · When both directions hold · Converses in geometry5 concepts
  2. 10How Quantities Combine: Understanding DataCombining averages · Weighted mean · Mixtures and concentration · How averages change · Stacked and 100% stacked bar charts5 concepts
  3. 11The World of AlgorithmsWhat an algorithm is · Divisors, GCD and LCM · Euclid's subtraction algorithm · Aryabhata's division algorithm · Lists and prime factorisation5 concepts
  4. 12QuadrilateralsQuadrilateral basics and angle sum · Properties of a parallelogram · Tests for a parallelogram · The midpoint theorem · Medians and the centroid · Midpoint quadrilaterals and tiling6 concepts
  5. 13Two Variables, One LineLinear equations in two variables · Graph, slope and intercepts · Pairs of equations: the graphical view · Substitution method · Elimination method · Word problems6 concepts
  6. 14Math of Space: Surface Area and VolumeCuboids and cubes · Right circular cylinders · Right circular cones · Pyramids · Spheres and hemispheres · Melting, cutting and estimating6 concepts

How to use these notes

  1. Read the textbook section first. Then open the matching concept here — each one has a plain explanation, the key formulas in a box, and worked examples.
  2. Cover the solution and try each worked example yourself. Check your steps against ours, not just the final answer.
  3. Read the “Common mistakes” box before a test. Most lost marks come from the same few slips.
  4. Do the important questions in order: Basic → Medium → Advanced. Write the answer before you open it.
  5. Finish with the 5-question quiz. If you score less than 4, revisit the concepts you missed. Use “Read aloud” to revise on the go.

Syllabus and official sources

CBSE's 2026-27 Class IX curriculum groups the same mathematics into six units (Number System, Algebra, Coordinate Geometry, Geometry, Mensuration, Statistics and Probability; 80 marks theory + 20 internal assessment) and names topics such as Euclid's geometry, lines and angles and triangle congruence. The NCERT book arranges this material under its own chapter titles. Follow your school's schedule for which chapters are examined in each term.

Reference books

  • Ganita Manjari, Class 9 (Part I and Part II) — NCERT — Your main textbook — solve every exercise set.
  • Mathematics for Class 9 — R.D. Sharma (Dhanpat Rai) — Extra graded practice; its chapter numbers follow the old syllabus, so match by topic.
  • Mathematics for Class 9 — R.S. Aggarwal (Bharati Bhawan) — Good for drill on basics; match by topic.
  • Exemplar Problems in Mathematics, Class IX — NCERT — Harder, concept-testing questions (written for the old book).

PrepRung writes these notes in its own words. NCERT and CBSE are not affiliated with PrepRung. Check your school's term plan for the chapters in each exam.