NCERT Class 9 Mathematics Solutions

What these NCERT Class 9 Mathematics solutions cover

Every chapter of Ganita Manjariis solved in full — each in-text and end-of-chapter exercise worked step by step, with a free solutions PDF you can read in your browser. Here's what each chapter's solutions work through:

• Chapter 1: Orienting Yourself: The Use of Coordinates — Exercise 1.1, Exercise 1.2, Exercises (24 questions solved)
• Chapter 2: Introduction to Linear Polynomials — Polynomials, Linear Polynomials — Values and Word Problems, Exploring Linear Patterns, Linear Growth and Linear Decay, Linear Relationships, Visualising Linear Relationships, Exercises (39 questions solved)
• Chapter 3: The World of Numbers — Natural Numbers and Early Counting Systems, Integers and Brahmagupta's Laws, Fractions, Rational Numbers, and Their Arithmetic, Representation of Rational Numbers on the Number Line, Decimal Expansions, Cyclic Numbers, and Irrational Numbers, Exercises (43 questions solved)
• Chapter 4: Exploring Algebraic Identities — Visualising Identities — using (a + b)² = a² + 2ab + b², Factorisation Using (a + b)² and (a − b)² Identities, More Identities — (a + b + c)² and (a − b)², Factorisation Using (x + a)(x + b) = x² + (a + b)x + ab and Related Identities, Simplification of Rational Expressions Using Algebraic Identities, Exercises (25 questions solved)
• Chapter 5: I'm Up and Down, and Round and Round — Circumcircle of a Triangle, Chords and the Angles They Subtend, Midpoints and Perpendicular Bisectors of Chords, Distance of Chords from the Centre, Distance of Chords from the Centre — Further Results, Angles Subtended by an Arc, Exercises (44 questions solved)
• Chapter 6: Measuring Space: Perimeter and Area — Perimeter of a Circle and Arc Length, Area of Triangles, Parallelograms, and Quadrilaterals, Area of a Circle, Sector, and Segment, Exercises (56 questions solved)
• Chapter 7: The Mathematics of Maybe: Introduction to Probability — The Probability Scale, Experimental Probability, Elements of Probability: Sample Spaces and Events, Tree Diagrams, Exercises (28 questions solved)
• Chapter 8: Predicting What Comes Next: Exploring Sequences and Progressions — Sequences — Explicit and Recursive Rules, Arithmetic Progressions, Geometric Progressions, Exercises (35 questions solved)
• Chapter 9: Propositions and their Converses — Exercise Set 9.1 (17 questions solved)
• Chapter 10: How Quantities Combine: Understanding Data — Exercise Set 10.1, Exercise Set 10.2, Exercise Set 10.3, Exercise Set 10.4, Exercise Set 10.5, End-of-Chapter Exercises (33 questions solved)
• Chapter 11: The World of Algorithms — Exercise Set 11.1, Exercise Set 11.2, Exercise Set 11.3, End-of-Chapter Exercises (15 questions solved)
• Chapter 12: Quadrilaterals — Exercise Set 12.1, Exercise Set 12.2, Exercise Set 12.3, Exercise Set 12.4, End-of-Chapter Exercises (40 questions solved)
• Chapter 13: Two Variables, One Line — Exercise Set 13.1, Exercise Set 13.2, Exercise Set 13.3, Exercise Set 13.4, Exercise Set 13.5, End-of-Chapter Exercises (42 questions solved)
• Chapter 14: Math of Space: Surface Area and Volume — Exercise Set 14.1, Exercise Set 14.2, Exercise Set 14.3, Exercise Set 14.4, End-of-Chapter Exercises (52 questions solved)

Or browse the NCERT Class 9 Mathematics textbook chapters and all Class 9 solutions.