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NCERT Solutions for Class 10 Maths CBSE

Home Revise – NCERT Solutions for Class 10 Maths

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.

NCERT Solutions for Class 10 Maths CBSE

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.

Through Home Revise, you can get in-depth explanations and solutions for each topic.

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 Mensuration
a) 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

Why Choose Home Revise for Maths Class 10 NCERT Solutions?

Class 10 is an important educational milestone for CBSE Students and Maths is a high scoring subject where you can get excellent marks with regular practice and dedication. We combine the power of e-learning and audio-visual education to offer you Home Revise. Home Revise is an e-learning platform that allows you complete access to study material from NCERT Solutions for Class 10 Maths in the form of educational animated videos.

Here’s why you should choose Home Revise for studying Maths Class 10 NCERT Solutions:

  • Completely Mapped Textbook: Home Revise provides educational animated videos for the entire NCERT Class 10 Maths Book to every student with all 15 chapters, allowing an improved understanding of the subject.
  • Clear and Concise Solutions: All the exercises and solutions are provided in a clear, concise, and easy to understand language that will help students have a better grasp on the concepts, theorems, and solutions.
  • In-depth Explanation with Diagrams:With CBSE Class 10 Maths, you need to have a deeper understanding of topics. Home Revise provides detailed explanations with diagrams that will help you visualize the concepts and solutions better.
  • Reliable:We cover all the fundamental concepts and topics from the entire textbook. Our NCERT Solutions for Class 10 Maths are highly reliable and effective in helping you score better in CBSE board examinations.
  • Cost-Effective: Home Revise is available in several cost-effective and affordable packages, including monthly, quarterly, half-yearly, as well as yearly packages. We provide complete value for money and you’ll surely notice the difference in your child.
  • Accessible 24/7 Our Home Revise study material can be accessed from any device by students at any time they want and anywhere without any hassle.
  • Save your internet cost You can study through Home Revise with internet (online) or without internet (offline) as per your preference.

BENEFITS OF Learning through HOME REVISE Study App

Use of Multi-Sensory approach i.e. Eyes & Ears to see thousands of pictures & animations, which has an impact on the brain like a movie for storing Long Term Memory.

Students can easily learn & revise till they understand by watching Home Revise many times, so there is no need to by heart. Once interest of students in study has been developed, their attention & listening span increases, which help them to study for longer time & improve their concentration.

They become self-motivated to study in less time, so there is no wastage of time. Answers including definition, formulae, and mathematical expressions are long term memorable. Suitable colors for students eyes as per child psychology.

As a parent, now you need not insist on your child for studies. Children enjoy studying for hours together on computer, T.V & Tablet. Help in increasing overall % of the students.

Home Revise features

The Best Animation Quality

  • More than 1,00,000 animations & graphics are used.
  • Includes many colorful Diagrams & Animated scientific Experiments.
  • Designed by Qualified, Expert & Experienced teachers.
  • Colorful, Well-illustrated, Creatively & scientifically designed

Meaning of Difficult Words

It's a unique feature of Home Revise. We have added the meaning of difficult words from each paragraph for better understanding of students.

Benefits to students:

  • No need to search for the meaning.
  • Parents also can understand the meaning of difficult words then & there and can explain the concepts to their kids if necessary.
  • Teachers can also use it as a teaching aid or reference to teach the lesson.

The Best Sound Quality

International Voice quality which is crisp & clear to understand.

Interactive Objective Test

We have provided interactive objective tests after every paragraph, which help students to check their grasping level of the lesson & to revise it thoroughly.

Result Oriented Approach

Every Education System is based on Exam system, where students have to answer the questions based on textbook syllabus.

  • We help students to understand the lessons as well as to learn the questions & answers thoroughly.
  • To make the revision easy, we have explained questions & answers after every paragraph.

Exercise with Sound

  • We have explained all the questions & answers (Swadhyay) at the end of lessons.
  • Students can learn, by-heart the question answers then and there itself.

Three Times Revision

Students can revise the questions & answers three times with Home Revise.

  • Through Interactive Test after every paragraph.
  • Through the given question answers at the end of the paragraph.
  • Through the given exercise at the end of the chapter.

Easy Navigation

It is simple and clearly structured, which helps learners to easily and their way.

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.

How will NCERT Solutions for Class 10 Maths from Home Revise help me?

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.

Give your child the Home Revise Advantage today!

CBSE Class 10 Maths requires rigorous practice and hard work. Home Revise can play an essential role in studying hard as well as smart through Maths Class 10 NCERT Solutions. We offer a highly personalized, effective, and comprehensive learning experience. Give yourself the Home Revise advantage today.

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