# NCERT Solutions for Class 10 Maths: All Chapters

Class 10 Maths NCERT Solutions are very effective to assess your learning over the concepts explained in the textbook. NCERT solutions give you a chance to test your knowledge and give you a push for further improvement in weak areas. NCERT solutions for Class 10 Maths are provided here in easy to download format. All these chapter-wise NCERT solutions have been framed by the subject experts. Solutions are provided in a thorough and step-wise manner as per the guidelines laid down by CBSE in the marking scheme for board examinations. These solutions will help to cover the complete CBSE Class 10 Maths Syllabus in an organised way. By following these NCERT solutions, students will get to know the right technique to correctly solve other similar questions asked in school tests or annual board examination.

**NCERT solutions for Class 10 Mathematics: Links to download Chapter-wise NCERT solutions are provided below:**

**Chapter 3: Pair of linear Equations in Two Variables**

**Chapter 4: Quadratic Equations**

**Chapter 5: Arithmetic Progression**

**Chapter 7: Coordinate Geometry**

**Chapter 8: Introduction to Trigonometry**

**Chapter 9: Some Applications of Trigonometry**

**Chapter 12: Areas Related to Circles**

**Chapter 13: Surface Areas and Volumes**

NCERT Solutions for Class 10 Maths by our experts, will enable you to understand all the basic and advance level concepts which is the key to excel in the subject.

There are total 15 chapters in Class 10 Maths NCERT book. Each chapter has solved and unsolved questions based on the concepts and topics explained in it. We have mentioned below the important topics covered in all 15 chapters of NCERT Class 10 Maths textbook:

**Chapter 1. Real Numbers **

- Introduction to real numbers
- Euclid’s Division Lemma
- The Fundamental Theorem of Arithmetic
- Revisiting Irrational Numbers
- Revisiting Rational Numbers and Their Decimal Expansions

**Chapter 2. Polynomials **

- Introduction to Polynomials and Their Types
- Geometrical Meaning of the Zeroes of a Polynomial
- Relationship between Zeroes and Coefficients of a Polynomial
- Division Algorithm for Polynomials

**Chapter 3. Pair of Linear Equations in Two Variables **

- Introduction to Pair of Linear Equations in Two Variables
- Graphical Method of Solution of a Pair of Linear Equations
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
- Cross-Multiplication Method
- Equations Reducible to a Pair of Linear Equations in Two Variables

**Chapter 4. Quadratic Equations **

- Introduction to The Concept of Quadratic Equations
- Solution of a Quadratic Equation by Factorisation
- Solution of a Quadratic Equation by Completing the Square
- Nature of Roots

**CBSE Class 10 Maths Syllabus 2019-20**

**Chapter 5. Arithmetic Progressions **

- Introduction to Arithematic Progressions and Various Related Terms
- nth Term of an AP
- Sum of First n Terms of an AP

**Chapter 6. Triangles **

- Similar Figures
- Similarity of Triangles
- Criteria for Similarity of Triangles
- Areas of Similar Triangles
- Pythagoras Theorem

**Chapter 7. Coordinate Geometry **

- Introduction to Coordinate Geometry
- Distance Formula
- Section Formula
- Area of a Triangle

**Chapter 8. Introduction to Trigonometry **

- Introduction to Trigonometry
- Trigonometric Ratios
- Trigonometric Ratios of Some Specific Angles
- Trigonometric Ratios of Complementary Angles
- Trigonometric Identities

**CBSE Class 10 Maths Question Paper 2019**

**Chapter 9. Some Applications of Trigonometry **

- Calculating Heights and Distances

**Chapter 10. Circles **

- Tangent to a Circle
- Number of Tangents from a Point on a Circle

**Chapter 11. Constructions **

- Division of a Line Segment in Given Ratio
- Construction of Tangents to a Circle

**Chapter 12. Areas Related to Circles **

- Perimeter and Area of a Circle — A Review
- Areas of Sector and Segment of a Circle
- Areas of Combinations of Plane Figures

**Chapter 13. Surface Areas and Volumes **

- Surface Area of a Combination of Solids
- Volume of a Combination of Solids
- Conversion of Solid from One Shape to Another
- Frustum of a Cone

**CBSE Class 10 Maths Marking Scheme 2019**

**Chapter 14. Statistics **

- Introduction to Terms Related to Statistics
- Mean of Grouped Data
- Mode of Grouped Data
- Median of Grouped Data
- Graphical Representation of Cumulative Frequency Distribution

**Chapter 15. Probability **

- Probability — A Theoretical Approach

**Some prominent reasons to follow the NCERT books, are:**

- NCERT books cover the basics and fundamentals on all topics of a subject.
- With simple and easy language, NCERT books ensure a better understanding of all tough and advanced topics and concepts.
- NCERT books are written and published by highly educated/reputable persons and institutions after a great research.
- NCERT books explain all the concepts in a very simple and lucid manner.

**Download NCERT Book for Class 10 Maths**

**Solving the NCERT questions will help you:**

- clear all the concepts and formulae learned in a chapter.
- familiarise with different types of questions that might be asked in exams.
- get enough practice which is key to succeed in Mathematics exam.
- improve your accuracy and speed.

So if you want to achieve maximum marks in the board exams then make it a habit to read the NCERT books thoroughly and solve the exercise questions given at the end of every chapter. This will surely help you get the desired results.