Class 10
NCERT Solutions for Class 10 Mathematics
Get chapter-wise mathematics solutions with clear explanations and step-by-step answers.
Explore Solutions →NCERT Solutions • Chapters 9 to 14 • Academic Session 2026–27
Ganita Manjari – Part 2 is the second volume of the new NCERT Mathematics textbook for Grade 9. It continues Part 1 and contains Chapters 9 to 14, completing the 14-chapter Class 9 Mathematics textbook for the 2026–27 academic session.
Part 2 gives greater emphasis to mathematical reasoning, logical thinking, proof, data interpretation, algorithms, geometry, algebra and mensuration. Students are encouraged to understand relationships and justify results instead of relying only on memorised procedures.
| No. | Chapter | Major Mathematical Area |
|---|---|---|
| 9 | Propositions and their Converses | Mathematical reasoning, propositions, converses and proof |
| 10 | How Quantities Combine: Understanding Data | Data handling, averages, weighted combinations and graphs |
| 11 | The World of Algorithms | Algorithms, divisibility, GCD and systematic procedures |
| 12 | Quadrilaterals | Geometry, parallelograms, midpoint theorem, medians and centroid |
| 13 | Two Variables, One Line | Linear equations in two variables, graphs and algebraic methods |
| 14 | Math of Space: Surface Area and Volume | Surface area and volume of three-dimensional shapes |
Ganita Manjari Part 2 moves students from routine calculation towards reasoning, representation and mathematical communication. The chapters ask students to examine statements, interpret data, understand algorithms, prove geometric relationships, represent linear relationships graphically and work with measurements of solid shapes.
Students should study the textbook carefully, work through its examples and activities, and attempt the exercises independently before referring to solutions. This approach helps build conceptual understanding and prepares students for competency-based questions.
Regular practice is one of the most useful habits for learning Mathematics. A planned study routine helps students revise concepts, solve questions and identify topics that need more attention.
The following timetable is a suggested daily routine. Students can adjust it according to their school timings, homework and individual learning needs.
| Duration | Study Activity | Purpose |
|---|---|---|
| 15 minutes | Revise previously learned concepts and formulas. | Strengthen memory. |
| 30 minutes | Learn a new concept or study solved examples. | Build understanding. |
| 40 minutes | Solve textbook exercises independently. | Improve problem-solving skills. |
| 10 minutes | Check answers and note mistakes. | Improve accuracy. |
| Weekend: 45–60 minutes | Practise mixed questions or attempt a short test. | Revise and assess progress. |
Remember: The timetable is flexible. Consistent and focused practice is more important than following exact timings every day.
Ganita Manjari Part 2 is the second volume of the new NCERT Class 9 Mathematics textbook for the 2026–27 academic session. It contains Chapters 9 to 14.
Ganita Manjari Part 2 contains six chapters, numbered 9 to 14.
Chapter 9 is “Propositions and their Converses”. It develops mathematical reasoning through propositions, converses, examples, counterexamples and logical justification.
Chapter 10, “How Quantities Combine: Understanding Data”, deals with ways of combining quantities and understanding data, including averages and weighted combinations and graphical representation.
Chapter 11, “The World of Algorithms”, introduces algorithms and systematic step-by-step procedures, including mathematical processes related to divisibility and the greatest common divisor.
Chapter 12 is “Quadrilaterals”. It develops geometric reasoning involving quadrilaterals, parallelograms, midpoint results, medians and the centroid.
Chapter 13 is “Two Variables, One Line”. It focuses on linear equations in two variables and their representation using graphs and algebraic methods.
Chapter 14 is “Math of Space: Surface Area and Volume”. It deals with surface area and volume of three-dimensional mathematical shapes.
Yes. Ganita Manjari is the new NCERT Class 9 Mathematics textbook for the 2026–27 academic session, published in two parts.
Yes. Part 2 continues the chapter numbering from Part 1. Part 1 contains Chapters 1–8, while Part 2 contains Chapters 9–14.
Yes. Reasoning is especially important in topics such as propositions, converses, algorithms and geometry. Students are encouraged to justify conclusions rather than only state answers.
Yes. Chapter 10 focuses on understanding data and how quantities combine, including averages and weighted combinations.
Yes. Chapter 11, “The World of Algorithms”, introduces algorithmic thinking and mathematical procedures.
Yes. Chapter 12 is devoted to quadrilaterals and develops important geometric relationships and reasoning.
Yes. Chapter 13 studies linear equations involving two variables, including their graphical representation and solution methods.
Yes. Surface area and volume are covered in Chapter 14, “Math of Space: Surface Area and Volume”.
Students should read the concept first, work through examples and activities, attempt exercises independently, check their reasoning, and then revise questions that require more practice.
Yes. Students should use the prescribed textbook as a primary study resource and practise its concepts, examples and exercises thoroughly.
Ganita Manjari Part 2 is part of the new Class 9 Mathematics textbook for the 2026–27 academic session.
Saraswat Academy provides chapter-wise study resources and solutions for the Class 9 Ganita Manjari Mathematics curriculum. Students can use the chapter links above to access the relevant solution pages as they are published.
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