NCERT Solutions for Class 6 Maths

NCERT Solutions for Class 6 Maths Chapter Wise Free PDF

Introduction: NCERT Solutions for Class 6 Maths

NCERT Solutions for Class 6 Maths are a vital learning resource for students aiming to build a strong foundation in mathematics. Designed in line with the CBSE curriculum, these solutions provide clear, step-by-step answers to all the questions given in the NCERT textbook. Class 6 Maths introduces important concepts such as Number System, Fractions, Decimals, Geometry, Algebra, and Mensuration — topics that form the base for higher-level mathematics in later classes. Each chapter in the NCERT Class 6 Maths book is carefully explained in these solutions using simple language, examples, and logical steps. These solutions help students understand complex problems, learn proper answer presentation, and develop confidence in solving textbook exercises, additional questions, and word problems. Whether you're preparing for school exams or strengthening your fundamentals, NCERT Solutions serve as an ideal guide for regular practice and revision. Available in downloadable PDF format, these solutions are free and accessible for all learners. They are also useful for parents and teachers who want to support students in completing homework or clarifying doubts. With consistent practice using NCERT Solutions, students can score high marks and improve their overall problem-solving skills.

NCERT Solutions for Class 6 Maths

S.no.Chapter-Wise NCERT Solutions for Class 6 Maths
1.Class 6 Maths Chapter 1 Knowing Our Numbers
2.Class 6 Maths Chapter 2 Whole Numbers
3.Class 6 Maths Chapter 3 Playing with Numbers
4.Class 6 Maths Chapter 4 Basic Geometrical Ideas
5.Class 6 Maths Chapter 5 Understanding Elementary Shapes
6.Class 6 Maths Chapter 6 Integers
7.Class 6 Maths Chapter 7 Fractions
8.Class 6 Maths Chapter 8 Decimals
9.Class 6 Maths Chapter 9 Data Handling
10.Class 6 Maths Chapter 10 Mensuration
11.Class 6 Maths Chapter 11 Algebra
12.Class 6 Maths Chapter 12 Ratio and Proportion
13.Class 6 Maths Chapter 13 Symmetry
14.Class 6 Maths Chapter 14 Practical Geometry

Chapterwise NCERT Solutions for Class 6 Maths

NCERT Solutions for Class 6 Maths: A Comprehensive Guide to Academic Success

Class 6 Mathematics is a crucial subject that lays the foundation for advanced mathematical concepts in higher grades. It introduces students to essential topics like numbers, geometry, algebra, and data handling, which are vital for developing problem-solving and analytical skills. The NCERT Solutions for Class 6 Maths are indispensable resources that simplify complex concepts, provide step-by-step solutions to textbook exercises, and align with the CBSE syllabus. These solutions are designed to help students excel academically while building a strong conceptual base.

This blog explores the significance of NCERT Solutions for Class 6 Maths, their benefits, and tips for effective usage.

Why NCERT Solutions for Class 6 Maths Are Essential

The NCERT textbook for Class 6 Maths covers a wide range of topics that are fundamental to understanding mathematics. NCERT Solutions serve as an essential tool for mastering these topics because they:

  1. Simplify Complex Concepts
    NCERT Solutions break down challenging mathematical problems into simple, easy-to-understand steps, making learning more accessible for students.

  2. Provide Step-by-Step Explanations
    Each solution follows a structured approach, guiding students through the process of solving problems systematically.

  3. Align with CBSE Syllabus
    These solutions strictly adhere to the CBSE syllabus, ensuring that all topics are covered comprehensively and in the correct sequence.

  4. Enhance Exam Preparation
    By offering detailed answers and practice questions, NCERT Solutions help students prepare effectively for exams by focusing on frequently asked questions and high-weightage topics.

  5. Boost Confidence
    Regular practice with NCERT Solutions builds confidence among students by enabling them to tackle even challenging questions with ease.

Key Features of NCERT Solutions for Class 6 Maths

  1. Comprehensive Coverage
    NCERT Solutions cover all exercises from the textbook, ensuring that no topic or question is left unexplored.

  2. Accurate Answers
    The solutions are prepared by subject matter experts who ensure clarity and accuracy in every answer.

  3. Real-Life Applications
    Many solutions include examples that connect theoretical knowledge to real-world situations, helping students understand the practical relevance of mathematical concepts.

  4. Diagrams and Illustrations
    Visual aids like graphs, charts, and diagrams are included to enhance understanding of geometrical concepts or data representation techniques.

  5. Free Accessibility
    Many platforms offer NCERT Solutions for Class 6 Maths in free PDF format, making them easily accessible to all students anytime, anywhere.

Benefits of Using NCERT Solutions for Class 6 Maths

  1. Improved Conceptual Understanding
    These solutions simplify mathematical concepts and ensure that students grasp the fundamentals thoroughly before moving on to advanced topics in higher grades.

  2. Effective Exam Preparation
    With detailed answers and practice questions, NCERT Solutions help students prepare effectively for school exams by focusing on frequently asked questions and high-weightage topics.

  3. Time Management During Revision
    Organized solutions save time during revision by providing concise yet comprehensive explanations for all topics in one place.

  4. Self-Learning Tool
    NCERT Solutions empower students to learn independently by clarifying doubts without requiring external assistance from teachers or tutors.

  5. Foundation for Competitive Exams
    The concepts covered in Class 6 Maths form the basis for competitive exams like Olympiads and NTSE in later stages.

  6. Real-World Applications
    By studying mathematical concepts through NCERT Solutions, students develop a deeper understanding of how mathematics applies to everyday life.

How to Use NCERT Solutions Effectively

To maximize the benefits of NCERT Solutions for Class 6 Maths, follow these tips:

  1. Read the Textbook Thoroughly First
    Before referring to the solutions, read each chapter carefully to build a basic understanding of the concepts.

  2. Attempt Exercises Independently
    Try solving textbook questions on your own before checking the answers in the solutions.

  3. Focus on Weak Areas
    Identify topics you find challenging and revisit their solutions multiple times until you feel confident.

  4. Practice Regularly
    Consistent practice is key to mastering mathematical concepts and improving problem-solving skills.

  5. Use Visual Aids Effectively
    Pay attention to the graphs or diagrams provided in the solutions, as they often simplify complex ideas visually.

  6. Revise Frequently
    Use NCERT Solutions during revision sessions to reinforce key concepts before exams.

Chapter-wise NCERT solutions for class 6 Maths

Chapter 1 - Knowing Our Numbers Exercises in PDF Format

  • Exercise 1.1-4 Questions
  • Exercise 1.2-12 Questions
  • Exercise 1.3-3 Questions

Syllabus and important points covered in Chapter 1 - Knowing Our Numbers

  1.  Introduction Chapter Knowing Our Numbers
  2.  Comparing Numbers Worksheet
  3.  Large Numbers In Practice
  4.  Using Brackets 5. Roman Numerals Chart

Chapter 2 - Whole Numbers Exercises in PDF Format

  • Exercise 2.1 8 Question
  • Exercise 2.2 7 Questions
  • Exercise 2.3 5 Questions

Syllabus and important points covered in Chapter 2 - Whole Numbers

  1. Introduction Chapter
  2. Whole Numbers 
  3.  The Number Line
  4.  Properties of Whole Numbers
  5.  Patterns in Whole Numbers

Chapter 3 - Playing with Numbers Exercises in PDF Format

  • Exercise 3.1-4 Questions
  • Exercise 3.2-12 Questions
  • Exercise 3.3-6 Questions
  • Exercise 3.4-7 Questions
  • Exercise 3.5-12 Questions
  • Exercise 3.6-3 Questions
  • Exercise 3.7-11 Questions

Syllabus and important points covered in Chapter 3 - Playing with Numbers

  1.  Introduction Chapter 3 - Playing with Numbers
  2.  Factors and Multiples Worksheet
  3.  Prime and Composite Numbers Chart and Worksheets
  4.  Divisibility Rules 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3,2
  5.  Common Factors and Common Multiples
  6.  Some More Divisibility Rules
  7.  Prime Factorisation Worksheets
  8.  Highest Common Factor Worksheets
  9.  Lowest Common Multiple Worksheet
  10.  HCF And LCM Formulas, Problems with Solutions

Chapter 4 - Basic Geometrical Ideas Exercises in PDF Format

  • Exercise 4.1-6 Questions
  • Exercise 4.2-5 Questions
  • Exercise 4.3-3 Questions
  • Exercise 4.4-2 Questions
  • Exercise 4.5-3 Questions
  • Exercise 4.6-4 Questions

Syllabus and important points covered in Chapter 4 - Basic Geometrical Ideas

  1.  Introduction to Chapter 4 - Basic Geometrical Ideas
  2.  Points, A-Line Segment, Ray, and A-Line
  3.  Intersecting Lines and Parallel Lines
  4.  Curves
  5.  Types of Polygons
  6.  What is Angle in Geometry
  7.  Median, altitude of the Triangle
  8.  What is a Quadrilateral
  9.  Parts of the Circle

Chapter 5 - Understanding Elementary Shapes Exercises in PDF Format

  • Exercise 5.1-7 Questions
  • Exercise 5.2-7 Questions
  • Exercise 5.3-2 Questions
  • Exercise 5.4-11 Questions
  • Exercise 5.5-4 Questions
  • Exercise 5.6-4 Questions
  • Exercise 5.7-3 Questions
  • Exercise 5.8-5 Questions
  • Exercise 5.9-2 Questions

Syllabus and important points covered in Chapter 5 - Understanding Elementary Shapes

  1.  Introduction to Chapter 5 - Understanding Elementary Shapes
  2.  Classification of Triangles 
  3. Different Types of Quadrilaterals 
  4. Different types of Three-Dimensional Shapes
  5. Comparison of Line Segments
  6. Different Types of Angles 
  7. Measure an Angle with a Protractor

Chapter 6 - Integers Exercises in PDF Format

  • Exercise 6.1-10 Questions
  • Exercise 6.2-5 Questions
  • Exercise 6.3-4 Questions

Syllabus and important points covered in Chapter 6 - Integers

  1.  Introduction to Chapter 6 - Integers 
  2. Integers Examples 
  3. Operations with Integers Worksheet

Chapter 7 - Fractions Exercises in PDF Format

  • Exercise 7.1-11 Questions
  • Exercise 7.2-3 Questions
  • Exercise 7.3-9 Questions
  • Exercise 7.4-10 Questions
  • Exercise 7.5-5 Questions
  • Exercise 7.6-9 Questions

Syllabus and important points covered in Chapter 7 - Fractions

  1. Introduction to Chapter 7 - Fractions 
  2. Types of fractions 
  3. Equivalent Fractions Chart 
  4. Simplest Form of a Fraction 
  5. Like Fractions 
  6. Comparing Fractions Worksheets
  7. Addition and Subtraction of Fractions 
  8. Fraction on The Number Line 
  9. Proper Fractions 10. Improper and Mixed Fractions

Chapter 8 - Decimals Exercises in PDF Format

  • Exercise 8.1-10 Questions
  • Exercise 8.2-7 Questions
  • Exercise 8.3-2 Questions
  • Exercise 8.4-5 Questions
  • Exercise 8.5-7 Questions
  • Exercise 8.6-7 Questions

Syllabus and important points covered in Chapter 8 - Decimals

  1. Introduction to Chapter 8 - Decimals 
  2. Tenths and Hundredths 
  3. Convert Unlike Decimals to like decimals 
  4. Using Decimals 
  5. Addition Of Numbers With Decimals 
  6. Subtraction Of Decimals

Chapter 9 - Data Handling Exercises in PDF Format

  • Exercise 9.1-7 Questions
  • Exercise 9.2-2 Questions
  • Exercise 9.3-3 Questions
  • Exercise 9.4-4 Questions

Syllabus and important points covered in Chapter 9 - Data Handling

  1. Introduction to Chapter 9 - Data Handling 
  2. Recording Data 
  3. Collection and Organisation of Data 
  4. Pictograph Examples and Worksheets 
  5. Interpretation of A Pictograph 
  6. Drawing A Pictograph 
  7. A Bar Graph

Chapter 10 - Mensuration Exercises in PDF Format

  • Exercise 10.1-17 Questions
  • Exercise 10.2-1 Questions
  • Exercise 10.3-12 Questions

Syllabus and important points covered in Chapter 10 - Mensuration

  1. Introduction to Chapter 10 - Mensuration 
  2. The perimeter of Closed Shapes 
  3. Find Area of Plane Figures

Chapter 11 - Algebra Exercises in PDF Format

  • Exercise 11.1-11 Questions
  • Exercise 11.2-5 Questions
  • Exercise 11.3-6 Questions
  • Exercise 11.4-3 Questions
  • Exercise 11.5-5 Questions

Syllabus and important points covered in Chapter 11 - Algebra

  1. Introduction to Chapter 11 - Algebra
  2. Matchstick Patterns
  3. Use Of Variables In Common Rules
  4. Expressions With Variables
  5. Using Expressions Practically 
  6. What Is An Equation?
  7. Solution Of An Equation
  8. The Idea Of A Variable 9. More Matchstick Patterns

Chapter 12 - Ratio and Proportion Exercises in PDF Format

  • Exercise 12.1-16 Questions
  • Exercise 12.2-4 Questions
  • Exercise 12.3-11 Questions

Syllabus and important points covered in Chapter 12 - Ratio and Proportion

  1. Introduction to Chapter 12 - Ratio and Proportion
  2. What are the Ratio and Proportion
  3. Unitary Method

Chapter 13 - Symmetry Exercises in PDF Format

  • Exercise 13.1-6 Questions
  • Exercise 13.2-8 Questions
  • Exercise 13.3-3 Questions

Syllabus and important points covered in Chapter 13 - Symmetry

  1. Introduction to Chapter 13 - Symmetry
  2. Making Symmetric Figures: Ink-blot Devils
  3. Figures with Two Lines of Symmetry
  4. Figures with Multiple (more than two) Lines of Symmetry 
  5. Reflection and Symmetry

Chapter 14 - Practical Geometry Exercises in PDF Format

  • Exercise 14.1-5 Questions
  • Exercise 14.2-5 Questions
  • Exercise 14.3-2 Questions
  • Exercise 14.4-3 Questions
  • Exercise 14.5-9 Questions
  • Exercise 14.6-9 Questions

Syllabus and important points covered in Chapter 14 - Practical Geometry

  1. Introduction to Chapter 14 - Practical Geometry
  2. Construction of a Circle
  3. Construction of a Line Segment
  4. Construction of a Perpendicular Bisector
  5. Construction of Angles using a compass ruler

Why should I take the NCERT Solutions class for class 6 maths?

NCERT Solutions for class 6 maths is an important book required by all students who are appearing for various competitive exams. The book has been written by academicians of repute and has been prepared carefully, keeping in mind the syllabus as well as the exam pattern of various tests. It comprises solved examples that provide ample practice to students.

NCERT Solutions for class 6 maths covers all topics, concepts, and methods with step-by-step guides for solving exercises. Students can prepare themselves for exams, tests, competitions, and challenges related to their studies.

Frequently Asked Questions

Ans.14 chapters cover the syllabus of class 6 Maths is designed in such a way that it helps to prepare students for the examinations like ICSE and the CBSE. The course covers topics from Numbers, Algebra, Geometry, Trigonometry, Statistics and Probability.

Ans. Here at Home-Tuitions, we have provided the complete NCERT Solution for Class 6 Maths in PDF form, including a Chapter-wise maths solution for class 6 and a worksheet for the students to exercise these questions. You can download these solutions in your language.

Ans.NCERT Solutions for class 6 maths is comprehensive and easy to understand. It is student-friendly, reliable and accurate. The NCERT Solutions for class 6 maths contains detailed answers to all the questions asked in the NCERT Textbooks of Mathematics for classes 5 & 6

Ans.NCERT Solutions for class 4 maths is a compilation of all NCERT Solutions for Class 6 Maths for the year 2022-2023. These solutions will help the students to understand the concepts and learn them easily. This book has tried to cover every concept which is required.

NCERT Solutions for Class 6 Maths are comprehensive, chapter-wise answers to the exercises in the NCERT textbook. These solutions are carefully crafted by subject matter experts to align with the latest CBSE syllabus. They serve as a critical study aid for students to understand mathematical concepts in a step-by-step manner. These solutions are important because they break down complex problems into simple steps, making it easier for students to grasp fundamentals. Class 6 introduces students to core topics like whole numbers, fractions, decimals, geometry, algebra, and data handling. A strong foundation at this stage is crucial for higher classes. NCERT Solutions also help students with accurate homework completion, last-minute revision, and self-assessment before exams. Moreover, many school exams and competitive assessments strictly follow the NCERT curriculum. Using these solutions ensures that students do not miss out on any important concepts. With clear explanations, diagrams, and solved examples, NCERT Solutions for Class 6 Maths make mathematics less intimidating and more enjoyable.

Students and parents frequently search for free PDF downloads of NCERT Solutions for Class 6 Maths, as they offer convenient offline access. You can find these solutions on various trusted educational websites like Home-Tution.com or the official NCERT website. These PDFs are usually available chapter-wise, making it easy to download only what’s needed. Having the chapter-wise PDFs means students can focus on one topic at a time, such as "Knowing Our Numbers," "Fractions," or "Mensuration". It helps break down learning into manageable sections. These files are mobile and print-friendly, so students can revise even without internet access. When downloading, ensure that the solutions are based on the latest CBSE guidelines for the 2025-26 session. High-quality PDFs should include clearly written solutions with diagrams and step-by-step explanations. Many websites also provide solutions in both English and Hindi, catering to students from different linguistic backgrounds. Using the downloadable format is also helpful during exams for quick revision. So, if you're looking to enhance your exam prep with the most accurate and updated material, downloading NCERT Class 6 Maths Solutions in PDF form is a great option.

NCERT Class 6 Maths Solutions play a crucial role in efficient and targeted exam preparation. These solutions provide accurate and structured answers to all textbook questions, ensuring that students understand how to approach different types of problems systematically. Most school examinations are based directly on the NCERT curriculum. Practicing these solutions helps students become familiar with the pattern and difficulty level of questions. Each solution is written to reflect CBSE's step marking, which is essential during exams. Students often face difficulty in solving word problems, fractions, or geometry-based questions. With NCERT Solutions, they learn step-by-step techniques, improving their problem-solving speed and accuracy. It also boosts their confidence as they can self-evaluate and identify their weak areas. Additionally, many solutions come with concept explanations, alternative methods, and even shortcut tricks that save time during exams. Students can use these to revise formulas and concepts efficiently. The repetition of solving similar question types using NCERT Solutions enhances retention and recall. In short, consistent practice with NCERT Class 6 Maths Solutions ensures that students are well-prepared, conceptually strong, and exam-ready. It eliminates last-minute stress and improves performance.

Yes, in most cases, NCERT Solutions for Class 6 Maths are sufficient for excelling in school-level CBSE exams. The CBSE board strictly adheres to the NCERT curriculum, and question papers are often directly or indirectly based on exercises from the Class 6 NCERT textbook. The solutions cover all chapters in-depth, such as Integers, Fractions, Algebra, and Geometry, giving students complete clarity on core concepts. If a student consistently solves textbook problems using the NCERT Solutions and practices additional sample questions, they will be well-equipped to tackle any exam confidently. However, for students aiming to go beyond average scores or preparing for competitive exams like Olympiads, it's recommended to combine NCERT Solutions with additional practice materials. Many students benefit from solving RS Aggarwal Mental Maths books and sample papers after completing the NCERT exercises. That said, NCERT Solutions act as the foundation. They help eliminate conceptual errors, reinforce formulas, and guide students in presenting their answers properly. Most CBSE teachers and toppers recommend starting with NCERT before jumping into reference books.

So, while NCERT Solutions alone can ensure a good score, pairing them with regular practice and mock tests can help achieve outstanding results.

Parents often find it challenging to support their child in Class 6 Maths, especially if they are unfamiliar with the subject. NCERT Solutions offer a structured guide that parents can use to help their children learn and revise effectively. These solutions break down every question from the NCERT textbook into detailed steps, making it easier for parents to understand even if they’re not math experts. Parents can use these solutions to cross-check homework, explain methods, or help with revision before class tests and exams. Another great advantage is that these solutions are available for free online in PDF format, so parents can access them anytime without buying expensive tuition books. Many websites also provide solutions in video or interactive format, which makes it even easier for parents to guide their children. Moreover, parents can encourage their children to use these solutions for self-study, helping them become independent learners. Teaching them how to use NCERT Solutions effectively also instills the habit of step-by-step learning and logical reasoning. By incorporating NCERT Solutions into the daily study routine, parents can help their children stay on track, build confidence, and improve their overall academic performance without always relying on tuition or coaching.

Practicing NCERT Solutions for Class 6 Maths daily can drastically improve a student’s understanding and performance. The best way to practice is by following a structured study schedule that includes one chapter at a time, ideally aligned with the school syllabus. Start by reading the chapter from the textbook to understand the theory. Then, move on to the NCERT Solutions, solving each exercise while checking your steps against the given solutions. Avoid directly copying answers — try solving first, then refer to the solution to learn from mistakes. Break your study into small daily targets. For example, complete one exercise or a few questions per day. Use a dedicated notebook to keep track of your progress. Also, practice important formulas, definitions, and diagrams regularly. Additionally, revising previous chapters weekly and solving mixed questions helps in long-term retention. Online platforms often offer quizzes, interactive worksheets, and mock tests based on NCERT questions — take advantage of them for better results. Review your mistakes, note tricky problems, and revisit them frequently for maximum benefit. Consistency is key. Even 30–45 minutes of daily practice using NCERT Solutions can lead to significant improvement in math performance over time.