Summary
This page provides the free PDF of NCERT Class 10 Mathematics Answers/Hints — the official appendix giving final answers and solution hints to every textbook exercise across Chapters 1 through 14 plus two appendices.
The NCERT Class 10 Maths Answers/Hints appendix covers all 14 main chapters — Real Numbers, Polynomials, Pair of Linear Equations, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Areas Related to Circles, Surface Areas and Volumes, Statistics, and Probability — plus Appendix 1 (Mathematical Reasoning, exercises A1.1–A1.6) and Appendix 2 (Mathematical Modelling, exercises A2.2–A2.3). Each entry gives the final answer and, where needed, a hint or key step to guide students to the solution.
Key points & formulas
- 01Covers all 14 chapters of the NCERT Class 10 Mathematics textbook, from Chapter 1 (Real Numbers) to Chapter 14 (Probability).
- 02Includes answers for multiple exercises per chapter — for example, Exercises 3.1, 3.2, 3.3 for Pair of Linear Equations and Exercises 5.1, 5.2, 5.3, and the optional 5.4 for Arithmetic Progressions.
- 03Appendix 1 (Mathematical Reasoning) answers are provided across six exercises: A1.1 through A1.6.
- 04Appendix 2 (Mathematical Modelling) answers are provided for exercises A2.2 and A2.3.
- 05Many answers include brief hints or key steps — not just final values — helping students understand where they went wrong, not just what the answer is.
- 06The optional Exercise 5.4 is also included, giving answers for higher-order AP problems.
- 07Statistics chapter (13) answers cover all three measures — mean (Exercise 13.1), mode (Exercise 13.2), and median (Exercise 13.3).
Frequently asked questions
01Is the NCERT Class 10 Maths Answers PDF free to download?
Yes — the PDF is free to view and download directly from this page. No sign-up or payment is required.
02Which chapters are covered in the NCERT Class 10 Maths answers?
All 14 chapters are covered: Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Areas Related to Circles, Surface Areas and Volumes, Statistics, and Probability.
03Does the NCERT answers book include hints or just final answers?
It includes both. Many exercises provide just the final answer (e.g. a numerical value or Yes/No), while others include a key step, a construction hint, or a brief explanation of reasoning — especially for word problems and proof-based questions.
04Are the answers for all exercises in every chapter included?
Yes. The appendix includes answers for every exercise present in the textbook — for example, Exercises 2.1 and 2.2 for Polynomials, Exercises 4.1–4.3 for Quadratic Equations, and Exercises 8.1–8.3 for Introduction to Trigonometry.
05Does this cover the Appendix chapters too — Mathematical Reasoning and Mathematical Modelling?
Yes. Answers for Appendix 1 (Mathematical Reasoning) are provided across Exercises A1.1 to A1.6, and for Appendix 2 (Mathematical Modelling) in Exercises A2.2 and A2.3.
06Are answers for the optional Exercise 5.4 (Arithmetic Progressions) included?
Yes. The optional Exercise 5.4 is included in the answers appendix.
07Where can I find the answers to the Statistics chapter exercises?
Statistics (Chapter 13) answers are split across three exercises: Exercise 13.1 covers mean, Exercise 13.2 covers mode, and Exercise 13.3 covers median. All three are included in this PDF.
08Are answers for the Probability chapter included?
Yes. Exercise 14.1 from Chapter 14 (Probability) is fully covered, including answers to all probability questions with reasoning notes where applicable.
09Can I use this to check my answers for Triangles and Coordinate Geometry?
Yes. Chapter 6 (Triangles) answers cover Exercises 6.1, 6.2, and 6.3, and Chapter 7 (Coordinate Geometry) covers Exercises 7.1 and 7.2.
10Is this the official NCERT answer key or a third-party guide?
This is the official NCERT Answers/Hints appendix published as part of the Class 10 Mathematics textbook — not a third-party solution guide.
More chapters in Mathematics
This is the complete Mathematics Chapter 17 as published by NCERT — every diagram, solved example, and exercise included, free. Browse all CBSE Class 10 textbooks.
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