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Class 10 is an important year in a student’s life and Maths is one of the subjects that require dedication, hard work, and practice. It’s a subject where you can score well if you are well-versed with the concepts, remember the important formulas and solving methods, and have done an ample amount of practice. Worry not! Home Revise is here to make your Class 10 journey even easier. It’s essential for students to have the right study material and notes to prepare for their board examinations, and through Home Revise, you can cover all the fundamental topics in the subject and the complete** NCERT Class 10 Maths Book** syllabus.

The syllabus of Maths in CBSE may be vast but with the help of Home Revise, you can get high-quality** Maths Class 10 NCERT Solutions** that will help you excel in the subject. Home Revise has the best resources that will allow you to gain a deeper understanding of the basic and advanced concepts that are covered in** NCERT Class 10 Maths Syllabus**.

Since every unit and chapter in the CBSE Class 10 Maths Syllabus is given weightage and importance, Home Revise provides comprehensive study material for the subject to every student, teaching new and different approaches to solving problems and helping you gain an advantage in your exams.

Here is the list of chapters included in the syllabus for ** NCERT Solutions for Class 10 Maths**:

Chapter 1: Real Numbers.

Chapter 2: Polynomials.

Chapter 3: Pair of Linear Equations in Two Variables.

Chapter 4: Quadratic Equations.

Chapter 5: Arithmetic Progression.

Chapter 6: Triangles.

Chapter 7: Coordinate Geometry.

Chapter 8: Introduction to Trigonometry.

Chapter 9: Some Applications of Trigonometry.

Chapter 10: Circles.

Chapter 11: Constructions.

Chapter 12: Areas Related to Circles.

Chapter 13: Surface Areas and Volumes.

Chapter 14: Statistics.

Chapter 15: Probability.

**Chapter 1: Real Numbers.**

The first chapter of the **NCERT Class 10 Maths Book** focuses on Real Numbers, which has already been touched upon in Class 9. The chapter provides an introduction to real numbers and begins with Euclid’s Division Lemma. The chapter also teaches LCM & HCF calculation through a fundamental arithmetic theorem.

Topics in Chapter 1 include:

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

Home Revise provides a detailed explanation of every concept and complete solutions to every problem from the textbook.

**Chapter 2: Polynomials.**

The second chapter of the** NCERT Class 10 Maths Syllabus** revolves around Polynomials. It begins with an introduction to Polynomials and the various types of polynomials. The chapter also focuses on the geometrical understanding of the zeroes of polynomials (with graphical explanations), polynomial relationships, and more.

Topics in Chapter 2 include:

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

In Home Revise, we have decent explanations and in-depth solutions that will help you solve any problem efficiently and with ease.

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

The **NCERT Maths Class 10** textbook Chapter 3 focuses on the concept of a pair of linear equations in two variables. The chapter also elaborates on different solving methods for a pair of linear equations.

Topics in Chapter 3 include:

- Introduction.
- 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, Elimination, and Cross-Multiplication Method.
- Equations Reducible to a Pair of Linear Equations in Two Variables

With Home Revise, you can easily master the various solution methods.

**Chapter 4: Quadratic Equations.**

The fourth chapter in the **Maths Class 10 NCERT Solutions** provides a deep understanding of quadratic equations as well as teaches how to convert word problems into quadratic equation form and solve any quadratic equation using 2 different methods.

Topics in Chapter 4 include:

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

‘Quadratic Equations’ is a scoring chapter in the exams and through Home Revise’s Maths **NCERT Solutions for Class 10**, you can score the maximum marks in this section.

**Chapter 5: Arithmetic Progressions.**

The fifth chapter of the** NCERT Solutions Maths Class 10** textbook introduces a new concept – Arithmetic Progressions, also known as AP. The chapter uses some daily life examples to introduce the concept and then explains the different terms related to AP.

Topics in Chapter 5 include:

- Introduction to Arithmetic Progressions and Various Related Terms.
- nth term of an AP.
- Sum of First ‘n’ Terms of an AP.

With **NCERT Solutions for Class 10 Maths** from Home Revise, you can comprehend AP properly using the several examples and solved problems shared by our experts on the app.

**Chapter 6: Triangles.**

The sixth chapter of **Maths Class 10 NCERT Solutions** textbook revolves around triangles and their similarities. It’s one of the largest chapters in the book and essential for exams. The chapter focuses on the various properties of triangles and contains 9 different theorems in total.

Topics in Chapter 6 include:

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

With the help of Home Revise and our **NCERT Maths Class 10** solutions and explanations, you can understand and learn the theorems and their applications in solving the problems quickly.

**Chapter 7: Coordinate Geometry.**

The seventh chapter of the Maths **NCERT Solutions for Class 10** delves into coordinate geometry. It teaches students the different methods of finding the distance between two points using their given coordinates and also introduces them to new formulas to measure the coordinate distance, section (line division by ratio), and area of triangles.

Topics in Chapter 7 include:

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

With **NCERT Solutions Maths Class 10** learning materials, explanations, solutions, and alternative solving methods from Home Revise, you can score well in this unit with ease.

**Chapter 8: Introduction to Trigonometry.**

**NCERT Class 10 Maths Book** Chapter 8 is Introduction to Trigonometry. In this chapter, students are taught trigonometric ratios for the acute angles in a right-angled triangle. Furthermore, trigonometric ratios of specific angles like 0°, 30°, 45°, 60°, and 90°, as well as complementary angles are also mentioned.

Topics in Chapter 8 include:

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

Trigonometry is an essential chapter that needs dedication. With Home Revise’s **NCERT Solutions for Class 10 Maths**, you can easily score well in exams.

**Chapter 9: Some Applications of Trigonometry.**

The ninth chapter from the **Maths Class 10 NCERT Solutions** textbook is a continuation of the previous chapter and focuses on some real-life applications of trigonometry. The chapter also introduces concepts such as the line of sight, angle of elevation, and angle of depression, and teaches you how to calculate Heights and Distances of different objects without even measuring them.

Topics in Chapter 9 include:

- Introduction.
- Heights and Distances.

Home Revise ensure that you thoroughly understand every concept in Trigonometry since it is a crucial unit and is essential for scoring well in your exams.

**Chapter 10: Circles.**

After introducing Circles and their chords, segments, sectors, etc. in Class 9, the Maths syllabus in **NCERT Solutions for Class 10** goes a step further. The tenth chapter, Circles, teaches you newer concepts such as tangent, secant, point of contact, as well as number of tangents from a point on a circle. There are 2 theorems related to tangents included in the chapter.

Topics in Chapter 10 include:

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

With Home Revise, you can easily learn the entire topic within a short period of time.

**Chapter 11: Constructions.**

The eleventh chapter of **Maths Class 10 NCERT Solutions** is about Construction. It starts with teaching division of a line segment in the given ratio and construction of a triangle similar to the given triangle. Then, it demonstrates how to accurately construct tangents to a circle from an external point.

Topics in Chapter 11 include:

- Division of a Line Segment.
- Construction of Tangents to a Circle.

While construction seems intimidating, it can be quite fun. At Home Revise, we give step-by-step explanations and visuals for each construction method and also provide alternative solution methods for better understanding.

**Chapter 12: Areas Related to Circles.**

The twelfth chapter in the **NCERT Maths Class 10** textbook begins with introducing the concepts of the perimeter (or circumference) and area of a circle and their formulas. Students are also taught how to calculate areas of sectors and segments within circles and solve problems related to areas of combinations of different plane figures.

Topics in Chapter 12 include:

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

Home Revise can help you understand even the difficult problems in this chapter easily.

**Chapter 13: Surface Areas and Volumes.**

The thirteenth chapter of **NCERT Solutions Maths Class 10** teaches students how to calculate surface areas and volumes of different combinations of solid shapes. The chapter uses real-life examples in its different exercises, and also explains problems involving the conversion of solids from one shape to another and the frustum of a cone.

Topics in Chapter 13 include:

- 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.

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**Chapter 14: Statistics.**

In the fourteenth chapter of NCERT Solutions for Class 10 Maths, you will get introduced to statistical problems related to finding the Mean, Mode, or Median of grouped data, as well as the grouping and ungrouping of data. You will also be taught about portraying and understanding data by drawing cumulative frequency curves.

Topics in Chapter 14 include:

- Mean of Grouped Data.
- Mode of Grouped Data.
- Median of Grouped Data.
- Graphical Representation of Cumulative Frequency Distribution.

With NCERT Maths Class 10 solutions from Home Revise, you can study and practice every concept and exercise with ease.

**Chapter 15: Probability.**

The fifteenth and the last chapter in the **NCERT Class 10 Maths Syllabus** is Probability. The chapter begins by introducing the students to the theoretical approach of probability. By gaining an understanding of the topic, students will be able to solve given problems and exercises related to finding the probability and outcome of different events. The chapter also explains probability in cases of sure events, impossible events, elementary events, and complimentary events.

Topics in Chapter 15 include:

- Probability – A Theoretical Approach.

Learning Probability can be made fun and easy with visual explanations and step-by-step solutions from Home Revise.

**CBSE Class 10 Maths – Unit-wise Marks Weightage:**

The chapters in CBSE **NCERT Class 10 Maths Syllabus** are divided into 7 different units, with each unit being given marks weightage.

Here’s the unit-wise marking scheme:

# | Units | Marks Weightage |
---|---|---|

1 | Number System:a) Chapter 1: Real Numbers |
06 |

2 | Algebra:a) Chapter 2: Polynomials. b) Chapter 3: Pair of Linear Equations in Two Variables. c) Chapter 4: Quadratic Equations. d) Chapter 5: Arithmetic Progressions. |
20 |

3 | Coordinate Geometry:a) Chapter 7: Coordinate Geometry. |
06 |

4 | Geometry:a) Chapter 6: Triangles. b) Chapter 10: Circles. c) Chapter 11: Construction. |
15 |

5 | Trigonometry:a) Chapter 8: Introduction to Trigonometry. b) Chapter 9: Some Applications of Trigonometry. |
12 |

6 | Mensurationa) Chapter 12: Areas related to Circles. b) Chapter 13: Surface Areas & Volumes. |
10 |

7 | Statistics:a) Chapter 14: Statistics. b) Chapter 15: Probability. |
11 |

Total Marks: |
80 |

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**Frequently Asked Questions **

**How do I score well in CBSE Class 10 Maths Exam?**

To score well in the Class 10 Maths CBSE Board Examinations, you need to have a well-defined study plan and ensure that you have a thorough understanding of every concept and theorem. Regular practice is an absolute must. With **NCERT Solutions for Class 10 Maths** from Home Revise, you can master the subject and score excellent marks in the exams.:

**How many chapters are included in the NCERT Class 10 Maths Syllabus?**

The CBSE class 10 syllabus for Maths comprises of a total of 15 chapters.

**What are the topics included in the Home Revise Maths Class 10 NCERT Solutions?**

Home Revise provides study material and audio-visual learning modules for the entire **NCERT Class 10 Maths Book**. We consider every topic to be important for scoring and make sure that all the chapters, topics, theorems, exercises, and solutions are included in Home Revise.

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With Home Revise, you can gain a better and deeper understanding of any topic or chapter in a short duration of time. With the concepts being clear in your mind, you can prepare well for your exams and practice the solutions and exercises easily. You can refer to Home Revise at any time and it will help you in understanding, revision, as well as during exams.

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