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Case Study Questions for Class 6 Maths

• Last modified on: 9 months ago
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Table of Contents

Here in this article, we are providing case study questions for class 6 maths.

Maths Class 6 Chapter List

Latest chapter list (2023-24).

Chapter 1 Knowing Our Numbers Case Study Questions Chapter 2 Whole Numbers Case Study Questions Chapter 3 Playing with Numbers Case Study Questions Chapter 4 Basic Geometrical Ideas Case Study Questions Chapter 5 Understanding Elementary Shape Case Study Questions Chapter 6 Integers Case Study Questions Chapter 7 Fractions Case Study Questions Chapter 8 Decimals Case Study Questions Chapter 9 Data Handling Case Study Questions Chapter 10 Mensuration Case Study Questions Chapter 11 Algebra Case Study Questions Chapter 12 Ratio and Proportion Case Study Questions

Old Chapter List

Chapter 1 Knowing Our Numbers Chapter 2 Whole Numbers Chapter 3 Playing with Numbers Chapter 4 Basic Geometrical Ideas Chapter 5 Understanding Elementary Shape Chapter 6 Integers Chapter 7 Fractions Chapter 8 Decimals Chapter 9 Data Handling Chapter 10 Mensuration Chapter 11 Algebra Chapter 12 Ratio and Proportion Chapter 13 Symmetry Chapter 14 Practical Geometry

Deleted Chapter:

Tips for Answering Case Study Questions for Class 6 Maths in Exam

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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CBSE Case Study Questions for Class 6 – 10, 12 for Maths, Science, SST

Cbse case study questions for maths, science, social science.

CBSE Case Study Questions:   Case Study Questions for all Class 1, 2, 4, 5, 6, 7, 8, 9,10, 11 and 12 by Experienced Teachers. We Net Ex. Arranged here Important Case Based Questions for CBSE Board – Maths, Science, Social Science, English.

One must keep in mind to not discover the answers straight forwardly within the given entry but moreover think effectively to determine the answer. Case based questions are either MCQs or Attestation Reason Questions, so for endeavoring such questions you must take after the run the show of end. Case studies capture a range of perspectives, as opposed to the single view of an individual you get with a survey response or interview. This gives the opportunity to gain a greater understanding of the subject in hand and reduces the potential for any bias, by diluting the agenda of a particular individual.

• Case Study Questions Class 6 Science
• Case Study Questions Class 7 Science
• Case Study Questions Class 8 Science
• Class 8 Social Science Case Study Question
• Case Study Question for Class 10 Basic Maths
• Case Study Question for Class 10 Maths Standard
• Case Study Question for Class 10 Science
• Case Study Question for Class 10 Social Science
• Case Study Question for Class 10 Computer
• Class 11 Biology Case Study Question
• Class 11 Physics Case Study Question
• Class 11 Chemistry Case Study Question
• CBSE Class 12 Mathematics Case study Questions & Answers
• CBSE Class 12 Physics Case study Questions & Answers
• CBSE Class 12 History Case study Questions & Answers
• CBSE Class 12 Economics Case study Questions & Answers
• CBSE Class 12 Chemistry Case study Questions & Answers
• CBSE Class 12 Computer Science Case study Questions & Answers
• Case Study Question for Class 12 Biology
• Class 12 Physics Case Study Question

Due to a little test, the case ponder can conduct an in-depth investigation. – Case ponders make openings for a wealthy surrender of information, and the profundity of investigation can in turn bring tall levels of legitimacy (i.e. giving an exact and comprehensive degree of what the think about is trusting to degree).

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Class 6 Maths

Class 6 math ensures to strengthen and build the reasoning skills and the basic concepts of students. Class 6 is the upper primary stage where students begin to understand and apply the mathematical language of symbols and equations. It focuses on implementing a profound knowledge for working with advanced concepts by learning various methods, formulas, and theorems. Therefore, it is necessary for students to have a detailed understanding of each topic covered in the class 6 maths syllabus.

NCERT Solutions for Class 6 Maths PDF Download

NCERT solutions for class 6 maths comprise a detailed explanation of all the textbook questions available in the NCERT mathematics class 6 coursebook. As they provide a stepwise analysis of all problems, these solutions are the best cross-reference material. Kids can check their answers as well as get an idea of the correct way to write the solutions to questions. The NCERT solutions for class 6 maths are prepared by experts in the field of mathematics. They have spent a great amount of time researching the most precise and optimized method to reach the final result.  The NCERT solutions for class 6 maths have several study tips and tricks that help to streamline the learning process. They also use illustrative examples, graphs, and real-life problems that help kids relate to the topics in a better manner. The well-structured and precise solutions to all the NCERT chapters can be accessed via the links given below:

Class 6 Maths NCERT Solutions Chapter 1 to 14 (PDFs) 

NCERT Solutions for Class 6 Maths: Syllabus 

The NCERT class 6 maths syllabus comprises topics related to numbers , addition, subtraction, and more. A detailed list of these topics is given below.

The topics included in the class 6 chapters have concepts that lay the groundwork for higher-order lessons. If children are not familiar and well-versed with these it could prove to be problematic as they reach further grades. Thus, to avoid superfluous understanding children should periodically visit the links given above to revise the chapters thoroughly. To effectively prepare for exams the NCERT class 6 maths book is given below:

>> Download Class 6 Maths NCERT Book

NCERT Solutions Class 6 Maths Chapter 1 - Knowing Our Numbers

• Number comparison
• Place value notation
• Usage of commas and brackets in numbers
• Arithmetic operations on numbers
• Estimation by round off
• Roman numerals

NCERT Solutions Class 6 Maths Chapter 1: Exercise

• Class 6 Maths Chapter 1 Ex 1.1 - 4 Questions
• Class 6 Maths Chapter 1 Ex 1.2 - 12 Questions
• Class 6 Maths Chapter 1 Ex 1.3 - 3 Questions

NCERT Solutions Class 6 Maths Chapter 2: Whole Numbers

• Predecessor and successor
• The number line
• Properties of whole numbers
• Patterns in whole numbers

NCERT Solutions Class 6 Maths Chapter 2: Important Formulas

• Associative Property for addition: (a + b) + c = a + (b + c)
• Associative Property for multiplication: (a * b) * c = a * (b * c)
• Commutative Property for addition: a + b = b + a
• Commutative Property for multiplication: a * b = b * a

NCERT Solutions Class 6 Maths Chapter 2: Exercise

• Class 6 Maths Chapter 2 Ex 2.1 - 8 Questions
• Class 6 Maths Chapter 2 Ex 2.2 - 7 Questions
• Class 6 Maths Chapter 2 Ex 2.3 - 5 Questions

NCERT Solutions Class 6 Maths Chapter 3: Playing with Numbers

• Factors and multiples
• Prime numbers and Composite numbers
• Test for divisibility of numbers
• Common factors and common multiples
• Prime factorization
• Highest Common Factor (HCF)
• Lowest Common Multiple (LCM)

NCERT Solutions Class 6 Maths Chapter 3: Important Formulas

• Divisibility by 2: A number is divisible by 2 if it has any of the digits 0, 2, 4, 6, or 8 in its one’s place.
• Divisibility by 3: If the sum of the digits is a multiple of 3, then the number is divisible by 3.
• Divisibility by 4: A number with 3 or more digits is divisible by 4 if the number formed by its last two digits (i.e. ones and tens) is divisible by 4.
• Divisibility by 5: A number that has either 0 or 5 in its one’s place is divisible by 5.

NCERT Solutions Class 6 Maths Chapter 3: Exercise

• Class 6 Maths Chapter 3 Ex 3.1 - 4 Questions
• Class 6 Maths Chapter 3 Ex 3.2 - 12 Questions
• Class 6 Maths Chapter 3 Ex 3.3 - 6 Questions
• Class 6 Maths Chapter 3 Ex 3.4 - 7 Questions
• Class 6 Maths Chapter 3 Ex 3.5 - 12 Questions
• Class 6 Maths Chapter 3 Ex 3.6 - 3 Questions
• Class 6 Maths Chapter 3 Ex 3.7 - 11 Questions

NCERT Solutions Class 6 Maths Chapter 4: Basic Geometrical Ideas

• Line segment
• Intersecting lines
• Parallel lines
• Quadrilaterals

NCERT Solutions Class 6 Maths Chapter 4: Exercise

• Class 6 Maths Chapter 4 Ex 4.1 - 6 Questions
• Class 6 Maths Chapter 4 Ex 4.2 - 5 Questions
• Class 6 Maths Chapter 4 Ex 4.3 - 3 Questions
• Class 6 Maths Chapter 4 Ex 4.4 - 2 Questions
• Class 6 Maths Chapter 4 Ex 4.5 - 3 Questions
• Class 6 Maths Chapter 4 Ex 4.6 - 4 Questions

NCERT Solutions Class 6 Maths Chapter 5: Understanding Elementary Shapes

• Measuring line segments
• Angles - right angle and straight angle
• Angles - acute angle, obtuse angle, reflex angle
• Measuring angles
• Perpendicular lines
• Classification of triangles
• Three-dimensional shapes (3D shapes)

NCERT Solutions Class 6 Maths Chapter 5: Exercise

• Class 6 Maths Chapter 5 Ex 5.1 - 7 Questions
• Class 6 Maths Chapter 5 Ex 5.2 - 7 Questions
• Class 6 Maths Chapter 5 Ex 5.3 - 1 Question
• Class 6 Maths Chapter 5 Ex 5.4 - 11 Questions
• Class 6 Maths Chapter 5 Ex 5.5 - 4 Questions
• Class 6 Maths Chapter 5 Ex 5.6 - 4 Questions
• Class 6 Maths Chapter 5 Ex 5.7 - 3 Questions
• Class 6 Maths Chapter 5 Ex 5.8 - 5 Questions
• Class 6 Maths Chapter 5 Ex 5.9 - 2 Questions

NCERT Solutions Class 6 Maths Chapter 6 - Integers 

• Tag with a sign
• Representation of integers on a number line
• Ordering of Integers
• Addition of integers
• Addition of integers on a number line
• Subtraction of Integers with the help of a number line 

NCERT Solutions Class 6 Maths Chapter 6 Important Formulas

• When two positive integers are added, we get a positive integer.
• When two negative integers are added, we get a negative integer.
• When one positive and one negative integer are added we subtract them as whole numbers by considering the numbers without their sign and then put the sign of the bigger number with the subtraction obtained

NCERT Solutions Class 6 Maths Chapter 6 Exercises

• Class 6 Maths Chapter 6 Ex 6.1 - 10 Questions
• Class 6 Maths Chapter 6 Ex 6.2 - 5 Questions
• Class 6 Maths Chapter 6 Ex 6.3 - 4 Questions

NCERT Solutions Class 6 Maths Chapter 7 - Fractions

• Fraction on a number line
• Proper fractions
• Improper fractions, mixed fractions
• Equivalent fractions
• Simplest form of a fraction
• Like fractions
• Comparing fractions, comparing like fractions, comparing unlike fractions
• Addition of fractions, subtraction of fractions

NCERT Solutions Class 6 Maths Chapter 7 Exercises

• Class 6 Maths Chapter 7 Ex 7.1 - 11 Questions
• Class 6 Maths Chapter 7 Ex 7.2 - 3 Questions
• Class 6 Maths Chapter 7 Ex 7.3 - 9 Questions
• Class 6 Maths Chapter 7 Ex 7.4 - 10 Questions
• Class 6 Maths Chapter 7 Ex 7.5 - 5 Questions
• Class 6 Maths Chapter 7 Ex 7.6 - 9 Questions

NCERT Solutions Class 6 Maths Chapter 8 - Decimals

• Comparing decimals
• Using decimals in money, length, weight
• Addition of numbers with decimals
• Subtraction of decimals 

NCERT Solutions Class 6 Maths Chapter 8 Exercises

• Class 6 Maths Chapter 8 Ex 8.1 - 10 Questions
• Class 6 Maths Chapter 8 Ex 8.2 - 7 Questions
• Class 6 Maths Chapter 8 Ex 8.3 - 2 Questions
• Class 6 Maths Chapter 8 Ex 8.4 - 5 Questions
• Class 6 Maths Chapter 8 Ex 8.5 - 7 Questions
• Class 6 Maths Chapter 8 Ex 8.6 - 7 Questions

NCERT Solutions Class 6 Maths Chapter 9 - Data Handling

• Recording data
• Organization of data
• Interpretation of a pictograph
• Drawing a pictograph
• A bar graph
• Interpretation of a bar graph
• Drawing a bar graph 

NCERT Solutions Class 6 Maths Chapter 9: Exercise

• Class 6 Maths Chapter 9 Ex 9.1 - 7 Questions
• Class 6 Maths Chapter 9 Ex 9.2 - 2 Questions
• Class 6 Maths Chapter 9 Ex 9.3 - 3 Questions
• Class 6 Maths Chapter 9 Ex 9.4 - 4 Questions

NCERT Solutions Class 6 Maths Chapter 10 - Mensuration

• Introduction to the concept of Perimeter
• Perimeter for a rectangle
• Perimeter of regular shapes, perimeter of a square
• Introduction to the concept of area
• Area of a rectangle
• Area of a square

NCERT Solutions Class 6 Maths Chapter 10 Important Formulas

• Perimeter of a rectangle = 2 × (length + breadth)
• Perimeter of a square = 4 × length of a side
• Perimeter of an equilateral triangle = 3 × length of a side
• Area of a rectangle = (length × breadth)
• Area of the square = side × side

NCERT Solutions Class 6 Maths Chapter 10 Exercises

• Class 6 Maths Chapter 10 Ex 10.1 - 17 Questions
• Class 6 Maths Chapter 10 Ex 10.2 - 1 Questions
• Class 6 Maths Chapter 10 Ex 10.3 - 12 Questions

NCERT Solutions Class 6 Maths Chapter 11 - Algebra

• Introduction to algebra
• Matchstick patterns
• The idea of a variable
• Use of variables in common rules, rules from geometry, rules from arithmetic
• Expressions with variables
• Using expressions practically
• Solution of an equation

NCERT Solutions Class 6 Maths Chapter 11 Exercises

• Class 6 Maths Chapter 11 Ex 11.1 - 11 Questions
• Class 6 Maths Chapter 11 Ex 11.2 - 5 Questions
• Class 6 Maths Chapter 11 Ex 11.3 - 6 Questions
• Class 6 Maths Chapter 11 Ex 11.4 - 3 Questions
• Class 6 Maths Chapter 11 Ex 11.5 - 5 Questions

NCERT Solutions Class 6 Maths Chapter 12 - Ratio and Proportion

• Understanding the concept of ratios
• Proportion as equality of two ratios
• Unitary method 

NCERT Solutions Class 6 Maths Chapter 12 Exercises

• Class 6 Maths Chapter 12 Ex 12.1 - 16 Questions
• Class 6 Maths Chapter 12 Ex 12.2 - 4 Questions
• Class 6 Maths Chapter 12 Ex 12.3 - 11 Questions

Important Formulas in NCERT Solutions Class 6 Maths

Class 6 maths covers many important formulas and procedures that are vital to attempting questions. Formulas can be seen as tools that help simplify the process of solving an otherwise complicated sum. It is advised for children to keep formula charts with handwritten notes to help them understand the underlying concepts as well as memorize the formulas quickly. Additionally, it is recommended that kids apply these formulas to problems with a gradually increasing level of difficulty to get the most of these lessons. A few of the formulas used in the NCERT solutions for class 6 maths are given below:

Mensuration

• Area of a square = (side) 2
• Perimeter of a square = 4 * side
• Area of a triangle = ½ * base * height
• Perimeter of a triangle = sum of all sides
• General form of a quadratic equation: ax 2 + bx + c = 0

Number System

• √(ab) = √(a)√(b)
• [√(a) + √(b)][√(a) - √(b)] = a - b
• Associative property: p + (q + r) = (p + q) + r
• Commutative property: p + q = q + p

Importance of NCERT Solutions Class 6 Maths

Class 6 Maths NCERT Solutions are of great importance for CBSE students as they give them an organized way to prepare for any exam. Given below are the benefits of using these comprehensive sources for learning.

• Time Management - These NCERT Class 6 Maths Solutions set a good pace for students so that they not only complete all chapters well within the given time limit but also have enough buffer to revise each lesson. During exams, they are very useful as these solutions give a bird’s eye view of all the topics so that kids can glance through them and recall concepts quickly.
• Attempting Exams - If the test papers are attempted in a step-wise manner with proper explanations given for each computation performed it enables kids to get the best possible score. Thus, by using the NCERT Class 6 Maths Solutions students get an idea of how to efficiently present their answers in an examination to maximize the scope of getting good marks.
• Understanding Concepts - The NCERT Class 6 Maths Solutions have been written in a way to convey tough concepts in the easiest way. Thus, irrespective of the difficulty all kids can quickly understand all topics and apply them to problems effectively.

FAQs on NCERT Solutions for Class 6 Maths

Do i need to practice all questions provided in ncert solutions class 6 maths.

Each question in the NCERT solutions for class six maths has been designed to give an insight into a different aspect of the topic at hand. If kids practice each sum, they will be sure to get a holistic understanding of the chapter rather than only having superficial knowledge. Thus, children should revise all problems and give special attention to topics they find tough.

Do I Need to Make Notes while Referring to NCERT Solutions Class 6 Maths?

If kids take down notes while going through the NCERT Solutions Class 6 Maths then they have simplified pointers that act as guidelines while revising that topic. Thus, it is imperative for students to make their own handwritten notes while studying these solutions as it helps them to recall concepts within a fraction of a second as well as improves their understanding of that section.

How are NCERT Solutions Class 6 Maths Promoting Problem Solving in Students?

The NCERT Solutions Class 6 Maths takes the step-by-step approach to solving questions. These solutions first break the big problem into simpler and more manageable chunks then proceed to solve each part with logical explanations. This method encourages students to inculcate the same techniques to solving any question thus instilling them with a problem-solving mindset.

What are the Best Ways to Learn Concepts Covered in NCERT Solutions Class 6th Maths?

To learn the concepts covered in the NCERT Solutions Class 6th Maths kids first need to go through the complete theory before each exercise. The next step is to memorize all the associated formulas. Children then need to attempt the solved examples and move on to the exercise questions. Finally, they should consult the NCERT solutions to cross-check their answers and get an idea of the procedures used to solve these sums.

Where Can I Get Chapter-wise NCERT Solutions for Class 6 Maths?

Students can access the chapter-wise pdfs of the NCERT Solutions for Class 6 Maths via the links mentioned in this article. Each exercise question has been explained in a simplified language. They also provide several study cues that can help kids understand and practice the sums more efficiently.

Can We Use Different Methods to Solve Problems Apart From Those Mentioned in NCERT Solutions Class 6 Maths?

The beauty of mathematics lies in the flexibility of solving problems using different and creative methods. Kids are encouraged to use techniques apart from those mentioned in the NCERT Solutions Class 6 Maths to solve problems however, they should be universally accepted. Additionally, when appearing for exams students should make sure to explain all the steps in a detailed manner with the required logic in order to get a good score.

Why Should I Practice NCERT Solutions Class 6 Maths Regularly?

Practice ensures perfection. The topics in the NCERT Solutions Class 6 Maths make their way in higher classes as well. If students can build a flawless foundational base they will not only excel in the grade 6 exams but will also be prepared to assimilate more complicated topics that are yet to come. Thus, it is necessary to practice each and every question at least twice so as to build a robust understanding of all chapters.

Which is the hardest chapter in class 6 maths?

In class six mathematics, there is no chapter that is difficult. However, there are a few topics that are introduced in this class which need a little more time and attention. For example, algebra, geometry, and mensuration are a few new topics that need time, but these can be mastered once the concepts are clear. Proper planning and regular practice of the related questions from different resources also helps because this makes the student think from different perspectives.

How to study mental maths for class 6?

Mental maths for class 6 is similar to physical fitness training. It may seem to be painful and difficult initially, but with regular practice, it always improves and helps. Mental maths improves our memory and can be learnt using the following techniques: 

• Try to create games related to mental maths along with other students. This helps in making it interesting and it includes some fun elements as well.
• Set a timer of say, 30 seconds and try to finish the given problem within that time.
• Try to use tricks like adding many numbers at once. Use the associative property for simplifying problems.
• Learn the multiplication tables up to 20 . This saves a lot of time in calculation.
• Initially give yourself time, and then reduce the time for each question and then focus on your accuracy.

How can I get full marks in class 6 maths?

Class 6 maths can be excelled with a little bit of effort, sincerity, and consistent practice. Here are a few tips that can help a student score well in 6th-class mathematics:

• Practice regularly: This is the most important technique which is always effective and assures the best results. Make sure that you give one hour to maths every day.
• Make a schedule: Planning the topics day-wise or week-wise helps in proper execution. Make a plan and a list that covers all the topics of maths that you need to cover. Allot 2 topics for one week giving 1 hour every day from Monday to Friday and 2 hours on the weekends because that is usually a holiday.
• Use visuals and figures: Start solving a problem by at least reading it twice and move on to create a picture or any figure that is helpful in understanding the problem. This helps you think analytically.
• Practice other resources: Try to practice questions related to the topic from different textbooks or online resources. This makes you come across a variety of questions and will build up your confidence.

How to solve word problems for class 6 maths?

Word problems in class 6 maths can be solved using a few tips given below:

• Read the problem: Read the given problem at least twice to understand what the story is all about.
• Note and plan: Note the information that is given and the information that is required. Think about the method and the arithmetic operation which needs to be used here.
• Solve and verify: Solve the problem with a calm mind avoiding any careless mistakes and verify the solution.

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Latest Chapter Wise Extra Questions for Class 6 Mathematics

Latest Chapter Wise Extra Questions for Class 6 Mathematics  myCBSEguide has just released Chapter Wise Question Answers for class 6 Maths. These Extra Questions with solution are prepared by our team of expert teachers who are teaching grade in CBSE schools for years. There are around 4-5 set of solved Mathematics Extra questions from each and every chapter. The students will not miss any concept in these Chapter wise question that are specially designed to tackle Exam. We have taken care of every single concept given in  CBSE Class 6 Mathematics   syllabus and questions are framed as per the latest marking scheme and blue print issued by CBSE for Class 6. These chapter wise Practice Questions with complete solutions are available for download in  myCBSEguide   website and mobile app.

Chapter Wise Important Questions for Class 6 Mathematics

• Knowing our Numbers
• Whole Numbers
• Playing with Numbers
• Basic Geometrical Ideas
• Understanding Elementary Shapes
• Data handling
• Mensuration
• Ratio and Proportion
• Practical Geometry

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Get NCERT Solutions of every exercise question and examples of Class 6 Maths. Answers to all the questions have been solved step-by-step with concepts of each chapter also explained.

For Class 6, we have divided the chapter into two parts - Serial Order Wise and Concept Wise.

Just like in the NCERT, we have exercises and examples. In Serial Order Wise, we have exercises and questions. And their solutions. 

You can click on any exercise link to find the answer to particular question.

That is not the best way of studying.

The best way is Teachoo's (टीचू) way - Concept wise.

In Concept wise, the chapter is divided into concepts. First the concept is explained, and then the questions of that concept is solved. Questions are ordered from easy to difficult. 

This is the best to revise the chapter, as well as to do it the first time.

In the NCERT of Class 6 Maths, the chapters and topics in them are:

• Chapter 1 Knowing Our Numbers - What is a number, Place value of numbers, Indian Number System, International Number System, Writing commas, Comparing Large numbers, Addition, Subtracting, Multiplying, Dividing Large Numbers, What is estimation, Rounding off, Rounding off to nearest tens, hundreds, thousands, General Rule for Rounding off, Roman Numerals, Writing numbers in Roman Numerals
• Chapter 2 Whole Numbers  - Natural Numbers, Whole Numbers, Predecessor, Successor, Writing whole numbers in number line, Properties of Whole Numbers - Closure, Commutativity, Associativity, 
• Chapter 3 Playing with Numbers  - Factors, Multiples, Properties of Factors, and Multiples, Prime and Composite Numbers, Prime numbers upto 100, Tests of divisibility - Divisibility by 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13. Common Factors and Common Multiples, More Divisibility Rules, Highest Common Factor (HCF), Least Common Multiple (LCM), Statement questions on LCM and HCF
• Chapter 4 Basic Geometrical Ideas  - We study basic geometry shapes like Point, Line, Line Segment, Ray, Intersecting Lines, Parallel Lines, Curves - Simple, Closed, Open, Polygons, Angles, Triangles, Quadrilaterals, Circles
• Chapter 5 Understanding Elementary Shapes  - In this chapter, we will learn - different ways to measure length of a line segment, Straight and Right angles as revolution, Straight and right angles in a clock, Acute, Obtuse and Reflex Angles, Measuring angles using Protractor, Perpendicular lines, Perpendicular bisectors, Classifying Triangles on the basis of side and angles, Quadrilaterals and different types of Quadrilaterals, Polygons, Polygons with n sides, Some common 3 Dimensional Shapes
• Chapter 6 Integers  - What are negative numbers, What are integers, Integers on the number line, Adding and subtracting integers, Add and Subtract Integers using Number line
• Chapter 7 Fractions  - What are fractions, finding fractions, drawing fractions on the number line, Proper Fractions, Improper Fractions, Mixed Fractions, Converting fractions to mixed fractions, Equivalent Fractions, Simplest form of fractions, Like and Unlike Fractions, Comparing fractions, Adding and Subtracting Fractions
• Chapter 8 Decimals  - What are Decimal Numbers, Tenth, Hundredth, Thousandth in a Number, Place Value of Decimal Numbers, Writing words to numbers, Decimals to Fractions, Writing Decimals on the Number Line, Converting mm to cm, cm to m, g to kg, Writing Decimals to Fractions, Comparing Decimals, Addition and Subtraction of Decimals, 
• Chapter 9 Data Handling  - What is Data, Frequency Distribution Table, Tally Marks, Reading a pictograph, drawing a pictograph, Reading a bar graph, Drawing a bar graph, 
• Chapter 10 Mensuration  - What is perimeter, Perimeter of Square, Rectangle, Equilateral Triangle, Finding area by counting the squares, Finding Area of Rectangle, Area of Square, 
• Chapter 11 Algebra  - Forming letters using matchsticks, What is a variable, Perimeter Formulas as Variable, Commutativity, Associativity, Distributivity as variables, What is an expression, Converting statement to algebra expressions with variable, What is an equation, Finding solutions of an equation by trial and error
• Chapter 12 Ratio and Proportion  - What are rations, finding ratios, ratios and fractions, finding ratios with different units, finding equivalent ratios, What is proportion, Unitary method
• Chapter 13 Symmetry  - What is symmetry, what are symmetrical objects, Drawing line of symmetry, completing figures with line of symmetry given, figures with more than 1 line of symmetry, Line of symmetry of common figures, Line of symmetry of Alphabets, Reflection Symmetry
• Chapter 14 Practical Geometry  - How to draw constructions, tools used in construction, drawing a circle when radius is known, Constructing a line segment of given length, Copying a line segment, Drawing perpendicular to a line through a point on it and not on it - using compass, and using set squares, Drawing perpendicular bisector of a line segment, Drawing an angle using protractor, Copying an unknown angle, Drawing an angle using compass

Note: When you click on a topic link, or an exercise link - the first question will open. To check other concepts or questions of that exercise, there is a list with arrows at the bottom of the page. You can check all the questions from it. Or you can also click next and do questions one by one.

Important questions are also marked for your reference.

Click on a chapter link below to get started.

Chapter 1 Class 6 Knowing our Numbers

Chapter 2 class 6 whole numbers, chapter 3 class 6 playing with numbers, chapter 4 class 6 basic geometrical ideas, chapter 5 class 6 understanding elementary shapes, chapter 6 class 6 integers, chapter 7 class 6 fractions, chapter 8 class 6 decimals, chapter 9 class 6 data handling, chapter 10 class 6 mensuration, chapter 11 class 6 algebra, chapter 12 class 6 ratio and proportion, practical geometry.

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• NCERT Solutions
• NCERT Class 6
• NCERT 6 Maths

NCERT Solutions for Class 6 Maths

Ncert solutions for class 6 maths cbse 2023-24 edition- free pdf download.

NCERT Solutions for Class 6 Maths provides detailed explanations for all the questions provided in the NCERT textbooks prescribed by the Central Board of Secondary Education. BYJU’S provides chapter-wise NCERT Class 6 Maths Solutions to help students clear their doubts by offering an in-depth understanding of the concepts. These materials including NCERT Solutions are available in PDF format so that students can download them and learn offline as well.

Students can practice the different types of questions given in the book, which are expected to be asked in the final exams, with the help of these NCERT Solutions for Class 6 . This has been designed by our experts in a well-structured format, to provide the best methods of solving the problems and to ensure the proper knowledge of concepts. Students are advised to practice CBSE Class 6 Maths textbook problems for the exams. This will also build a strong foundation of all these concepts for higher-level classes.

Class 6 Maths NCERT Solutions

CBSE Maths Solutions for Class 6 are given in the table below. Download chapter-wise CBSE 6th Class Maths textbook solutions and get the answers to all the questions.

The following chapters have been removed from the NCERT Class 6 Maths textbook 2023-24.

Practical Geometry

Maths NCERT Solutions for Class 6 Maths Chapterwise

Students can access the CBSE class 6 maths solutions of all the chapters from the link below.

Chapter 1 Number System

The chapter, Knowing Our Numbers of Class 6 Maths, helps the students learn different concepts including large numbers up to one crore, Indian and universal arrangement of numeration, estimation of large numbers and roman numerals. Students will also be taught to read, write and compare large numbers. A total of 3 exercises are there in the chapter.

Also access the following resources for  Class 6 Chapter 1 Number System  at BYJU’S:

• NCERT Exemplar Solutions for Class 6 Maths Chapter 1 Number System
• Number System
• Numeral System: Indian And International
• RD Sharma Solutions for Class 6 Maths Chapter 1: Knowing Our Numbers

Chapter 2 Whole Numbers

The chapter begins with an introduction to the concept of Whole Numbers. Going forward, the chapter entails topics such as predecessor and successor of a natural number, addition, subtraction and representation of natural numbers on the number line. There are 3 exercises present in the chapter.

Also access the following resources for  Class 6 Chapter 2 Whole Numbers  at BYJU’S:

• Whole Numbers Class 6 notes – Chapter 2
• Whole Numbers
• RD Sharma Solutions for Class 6 Maths Chapter 3: Whole Numbers

Chapter 3 Playing with Numbers

In this chapter, students will learn to obtain the number of factors and multiples of a given number. Perfect number, prime, composite and co-prime numbers, along with common factors and common multiples, are some of the concepts discussed in the chapter. Finding LCM and HCF using prime factorisation method is also taught in the chapter. Seven exercises are present in the chapter to help the students in practicing problems based on the chapter.

Also access the following resources for  Class 6 Chapter 3 Playing with Numbers  at BYJU’S:

• Playing with numbers Class 6 notes – Chapter 3
• RD Sharma Solutions for Class 6 Maths Chapter 2: Playing with Numbers

Chapter 4 Basic Geometrical Ideas

There are a total of 6 exercises in the chapter, Basic Geometrical Ideas. Students will learn about a line segment, the distance between two points, type of lines, concepts based on angles, triangles, polygons, quadrilaterals, regular polygons, circles.

Also access the following resources for  Class 6 Chapter 4 Basic Geometrical Ideas  at BYJU’S:

• Basic Geometrical Ideas Class 6 Notes: Chapter 4
• RD Sharma Solutions for Class 6 Maths Chapter 10: Basic Geometrical Concepts

Chapter 5 Understanding Elementary Shapes

Understanding Elementary Shapes helps the students in understanding all types of shapes that are framed using curves or lines. Students learn to effectively observe the corners, edges, planes, open curves and closed curves in the surroundings. A total of 9 exercises are present in the chapter that help the students to understand the shapes better.

Also access the following resources for  Class 6 Chapter 5 Understanding Elementary Shapes  at BYJU’S:

• Understanding Elementary Shapes Class 6 Notes: Chapter 5
• RD Sharma Solutions for Class 6 Maths Chapter 16: Understanding Three-Dimensional Shapes

Chapter 6 Integers

Chapter 6 of Class 6 Integers deals with the presentation of the idea of negative numbers. Students learn the representation of Integers on a number line, ordering of Integers, the addition of Integers, subtraction of Integers, addition of Integers on a number line and subtraction of Integers with the help of a number line in this chapter. There are a total of 3 exercises present in the chapter.

Also access the following resources for  Class 6 Chapter 6 Integers  at BYJU’S:

• NCERT Exemplar Solutions for Class 6 Maths Chapter 3 Integers
• Integers Class 6 Notes: Chapter 6
• RD Sharma Solutions for Class 6 Maths Chapter 5: Negative Numbers and Integers

Chapter 7 Fractions

The chapter 7 of Class 6, Fractions, talks about number line, proper fractions, improper and mixed fractions, equivalent fractions, the simplest form of a fraction, like fractions, comparing fractions, comparing like fractions, comparing unlike fractions, addition and subtraction of fractions, etc. A total of 6 exercises are present in the chapter.

Also access the following resources for  Class 6 Chapter 7 Fractions  at BYJU’S:

• Fractions Class 6 Maths Notes – Chapter 7
• RD Sharma Solutions for Class 6 Maths Chapter 6: Fractions
• NCERT Exemplar Solutions for Class 6 Maths Chapter 4 Fractions and Decimals

Chapter 8 Decimals

The chapter, Decimals, discusses the idea of Decimals through word problems and later progresses to complex concepts related to Decimals. Tenths, hundredths, comparing and using Decimals, money, length, weight, the addition of numbers with Decimals and subtraction of Decimals are some of the topics covered in this chapter. The chapter contains 6 exercises with problems related to the concepts discussed in the chapter.

Also access the following resources for  Class 6 Chapter 8 Decimals  at BYJU’S:

• Decimals Class 6 Maths Notes – Chapter 8
• RD Sharma Solutions for Class 6 Maths Chapter 7: Decimals

Chapter 9 Data Handling

Chapter 9 of Class 6 Maths, Data Handling, introduces the students to the topic of data, types of data and the different representations of data. Introduction to data, recording data, organization of data, introduction to the idea of pictograph, interpretation of a pictograph, how to draw a pictograph, introduction to a bar graph, interpretation of a bar graph presentation and drawing a bar graph are the basic topics discussed in this chapter to help the students understand the concept of Data Handling. The chapter has 4 exercises to help the students understand the topic better.

Also access the following resources for  Class 6 Chapter 9 Data Handling  at BYJU’S:

• NCERT Exemplar Solutions for Class 6 Maths Chapter 5 Data Handling
• Data Handling Class 6 Maths Notes – Chapter 9
• RD Sharma Solutions for Class 6 Maths Chapter 23: Data Handling – III (Bar Graphs)

Chapter 10 Mensuration

In the tenth chapter of Class 6, Mensuration, students learn about the measurement of shapes and figures by their area and volume. Introduction to the measurement of the perimeter, perimeter of a rectangle, perimeter of regular shapes, introduction to the measurement of area, the area of a rectangle and the area of a square are the fundamental topics covered here. There are a total of 3 exercises in this chapter.

Also access the following resources for  Class 6 Chapter 10 Mensuration  at BYJU’S:

• Mensuration Class 6 Maths Notes – Chapter 10
• RD Sharma Solutions for Class 6 Maths Chapter 20: Mensuration
• NCERT Exemplar Solutions for Class 6 Maths Chapter 6 Mensuration

Chapter 11 Algebra

With a total of 5 exercises, Chapter 11, Algebra, takes the students to a brand new concept of Maths which includes solving problems using various alphabets. Introduction to Algebra, matchstick patterns, the idea of a variable, examples of variables, and use of variables in common rules, expressions with variables, using expressions practically, equation and solutions of an equation are the basic concepts discussed in the chapter.

Also access the following resources for  Class 6 Chapter 11 Algebra  at BYJU’S:

• Algebra Class 6 Maths Notes – Chapter 11
• RD Sharma Solutions for Class 6 Maths Chapter 8: Introduction to Algebra
• NCERT Exemplar Solutions for Class 6 Maths Chapter 7 Algebra

Chapter 12 Ratio and Proportion

Chapter 12, Ratio and Proportion, helps the students learn about certain circumstances that can be compared by division. The comparison by division is the ratio. Moreover, students will also come to know that if two ratios are equivalent, they are said to be proportional. The chapter starts with an explanation of the idea of ratio. Along with the concept of ratio, the chapter also deals with the idea of proportion, examples related to it and finally concludes with examples based on the unitary method. This chapter has 3 exercises to help the students understand the topics covered in the chapter in a better way.

Also access the following resources for  Class 6 Chapter 12 Ratio and Proportion  at BYJU’S:

• NCERT Exemplar Solutions for Class 6 Maths Chapter 8 Ratio and Proportion
• Ratio And Proportion Class 6 Maths Notes – Chapter 12
• RD Sharma Solutions for Class 6 Maths Chapter 9: Ratio, Proportion and Unitary Method
• Ratios And Proportion

Chapter 13 Symmetry

Chapter 13, Symmetry, has a total of 3 exercises that help the students learn how to determine symmetrical items and operations based on Symmetry. Making Symmetric Figures- Ink-blot Devils, Figures with Two Lines of Symmetry, Figures with Multiple (more than two) Lines of Symmetry, Reflection and Symmetry are the principal topics described in this chapter.

Also access the following resources for  Class 6 Chapter 13 Symmetry  at BYJU’S:

• Symmetry Class 6 Maths Notes – Chapter 13
• RD Sharma Solutions for Class 6 Maths Chapter 17: Symmetry
• NCERT Exemplar Solutions for Class 6 Maths Chapter 9 Symmetry and Practical Geometry

Chapter 14 Practical Geometry

Practical Geometry, the last chapter of CBSE Class 6 Maths, deals with making the shapes that the students are familiar with along with the tools used in creating the shapes. The topics discussed in the chapter include the circle, construction of a circle when its radius is known, a line segment, construction of a line segment of a given length, constructing a copy of a given line segment, perpendiculars, perpendicular to a line through a point on it, perpendicular to a line through a point not on it, the perpendicular bisector of a line segment, angles, constructing an angle of a given measure, constructing a copy of an angle of unknown measure, bisector of an angle, angles of special measures. There are 6 exercises present in the chapter.

Also access the following resources for  Class 6 Chapter 14 Practical Geometry  at BYJU’S:

• Practical Geometry Class 6 Maths Notes – Chapter 14

For students of 6th Standard, other online learning materials, such as notes, books, question papers, worksheets, etc . have been made available at BYJU’S. These materials are designed with respect to the CBSE syllabus (2023-2024) and NCERT curriculum. Students are also suggested to practise sample papers and previous year question papers to get an idea of the types of questions asked in the final exam.

Stay tuned to BYJU’S to get the updated materials for 6th class and prepare for your final exams. Students can also find NCERT solutions for Class 6 Science  consisting of all chapters.

Frequently Asked Questions on NCERT Solutions for Class 6 Maths

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• Important Questions for CBSE Class 6 Maths Chapter 8 - Decimals

CBSE Class 6 Maths Important Questions Chapter 8 - Decimals - Free PDF Download

Every day, we use decimals when dealing with money, weight, length, etc. So Decimals and their applications are very important for students to understand. Vedantu provides free PDF solutions on Class 6 Maths Chapter 8 Important Questions according to NCERT curriculum. These solutions are prepared by experts who have a vast knowledge of Decimal and related topics. These solutions are carefully designed in such a way it provides students with a step by step explanation of the solution so that every doubt of students is cleared when they refer to the solution.

Free PDF download of Important Questions with solutions for CBSE Class 6 Maths Chapter 8 - Decimals prepared by expert Mathematics teachers from the latest edition of CBSE(NCERT) books. Register online for Maths tuition on Vedantu.com to score more marks in your examination. 

You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in CBSE board examination. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for the better solutions ,can download Class 6 Maths NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations. 

Download CBSE Class 6 Maths Important Questions 2024-25 PDF

Also, check CBSE Class 6 Maths Important Questions for other chapters:

The PDF also includes a solution for Class 6 Maths Chapter 8 Extra Questions on Decimals. These extra questions with solutions are prepared to provide additional practice problems for students to test their subject knowledge and to prepare for their exams.

The important topics covered in Decimals chapter are as follows:

Definition of decimals with examples

Representing Decimals on a number line

Fractional notation of Decimals

Comparing decimals

Decimals in length and weight measurement

Addition and subtraction of decimals

Overview of Class 6 Maths Chapter 8 Decimals Important Questions

The concept of decimals and fractions are dealt with in Class 6 Maths Chapter 8 . Students will be introduced to some new and advanced concepts in this chapter. They will understand the definition of the term decimal and learn the examples. They will also understand how to represent decimal numbers on the number line. Apart from that, the chapter also discloses the fractional notation of decimals. The comparison of decimals, measurements using decimals, and addition and subtraction using decimals, are also some of the main topics to be covered in this chapter. After completing the chapter, students can download important questions for Class 6 Maths Chapter 8 Decimals from Vedantu and start practising.

To score good marks in exams, it is vital for students to understand every single chapter in their Class 6 Maths textbook. The chapter on Decimals is a very significant one since it has weightage in the examinations. With the important questions in this chapter, students will be able to complete their syllabus in time and that too with detailed knowledge. These questions have solutions as well that students can practise and in turn improve their answering skills. The learned Maths experts at Vedantu have formulated these questions according to the CBSE guidelines . Following the questions will enable students to tap into the best study resources and perform well during exams.

Study Important Question for Class 6 Mathematics Chapter 8 – Decimals

1 Mark Questions

1. Write in decimal form: $400 + 60 + 7 + \dfrac{2}{{10}} + \dfrac{5}{{100}} + \dfrac{5}{{1000}}$

Ans: Let’s use basic arithmetic operations:

$= 400 + 60 + 7 + \dfrac{2}{{10}} + \dfrac{5}{{100}} + \dfrac{5}{{1000}}$

$= 467 + \dfrac{{200 + 50 + 5}}{{1000}}$

$= 467 + 0.255$

$= 467.255$

2. Express the term $4\;{\text{m}}$ in ${\text{km}}$ using decimals.

$\because 1\;{\text{km}}\,{\text{ = 1000}}\;{\text{m}}$

$\therefore 4\;{\text{m}} = \dfrac{4}{{1000}}\;{\text{km}} = 0.004\;{\text{km}}$

3. \[\dfrac{{\text{9}}}{{{\text{1000}}}}\] , in decimal form can be written as:

Ans: $\dfrac{9}{{1000}} = 0.009$

4. The correct expanded form of $3.07$ is

(a) $(3 \times 10) + \left( {7 \times \dfrac{1}{{10}}} \right)$

(b) $(3 \times 1) + \left( {7 \times \dfrac{1}{{10}}} \right)$

(c) $(3 \times 1) + \left( {7 \times \dfrac{1}{{100}}} \right)$

(d) None of these 

Ans:   (C)

$3.07 = 3 + 0.07$

$\Rightarrow (3 \times 1) + \left( {7 \times \dfrac{1}{{100}}} \right)$

5. Fill in the blanks, $2 - 0.7 = \_\_\_$                     

$2.0-0.7=1.3$

2 Mark Questions

1. Express $17\dfrac{{13}}{{1000}}$ as decimals

Ans: $\Rightarrow 17\dfrac{{13}}{{1000}}$

$= \dfrac{{17 \times 1000 + 13}}{{1000}}$

$= \dfrac{{17000 + 13}}{{1000}}$ 

$= \dfrac{{17013}}{{1000}}$

2. Convert  \[6.3,{\text{ }}8.19,{\text{ }}0.276{\text{ }}and{\text{ }}74\]  into like decimals

Ans: So, we need to convert the given number \[6.3,{\text{ }}8.19,{\text{ }}0.276,{\text{ }}74\] into decimals. Since, we know that decimals that have the same number of decimal places are called decimals.

Therefore, the like decimals will be:

$ \Rightarrow 6.300,\;8.190,\;0.276,\;74.000$

3. Compare 34.7 and 34.68

Ans: In the given question we need to compare two numbers. So for comparing two numbers, we always need to compare each of the digit places. 

Here, it can be seen that before the decimal places both have the same digits. So now we will compare the digits after the decimals. 

Therefore, on comparing it, we get:

  $34.7 > 34.68$

4. Add and express in kilograms using decimals: $3\;{\text{kg}}$ and $448\;{\text{g}}$.

Ans: $3\;{\text{kg}}\;{\text{and}}\;448\;{\text{g}}$

$ \Rightarrow 3\;{\text{kg}} + 448\;{\text{g}}$

$\because 1\;{\text{g = }}\dfrac{1}{{1000\;{\text{kg}}}}$

$\therefore 3\,{\text{kg}} + \dfrac{{448}}{{1000}}\;{\text{kg}}$

$ \Rightarrow 3\;{\text{kg}} + 0.448\;{\text{kg}}$

$ \Rightarrow 3.448\;{\text{kg}}$

5. Express $4\;{\text{g}}$ in kilograms using decimals.

Ans: $\because 1\;{\text{g}}\,{\text{ = }}\dfrac{1}{{1000\;{\text{kg}}}}$

$ \Rightarrow 4\;{\text{g}} = \dfrac{4}{{1000}}\;{\text{kg}} = 0.004\;{\text{kg}}$

6. Express in kilometres using decimals $8\;{\text{km}}\;56\;{\text{m}}$.

Ans: $8\;{\text{km}}\;56\;{\text{m}}$

$\because 1\;{\text{m}}\,{\text{ = }}\dfrac{1}{{1000\;{\text{km}}}}$

$ \Rightarrow 8\;{\text{km}} + 56\;{\text{m}}$

$ \Rightarrow 8\;{\text{km}} + \dfrac{{56}}{{1000}}\;{\text{km}}$

$ \Rightarrow 8\;{\text{km}} + 0.056\;{\text{km}}\;{\text{ = }}\;8.056\;{\text{km}}$

3 Mark Questions 

1. Write the following in ascending order \[3.83,{\text{ }}5.07,{\text{ }}0.8,{\text{ }}0.365{\text{ and }}6.4\] .

Ans: Converting into like terms

\[3.830,{\text{ }}5.070,{\text{ }}0.800,{\text{ }}0.365,{\text{ }}6.400\]

So, the ascending order is:

\[0.365,{\text{ }}0.800,{\text{ }}3.830,{\text{ }}5.070,{\text{ }}6.400\]

2. Convert into decimal fraction $\dfrac{{39}}{4}$

Ans: By performing division:

$\begin{matrix} &4\overset{{9.75}}{\overline{)\;39\;}}\\ &-36\\ &\qquad\overline{\;30\;}\\ &\quad\; -28\\ &\qquad\quad\;\overline{\;20\;}\\ &\qquad\;\; -20\\ &\qquad\quad\;\overline{\;0\;}\\ \end{matrix}$

3. Convert into decimal fraction $4\dfrac{5}{8}$

Ans: By solving given fraction

$4\dfrac{5}{8} = \dfrac{{(4 \times 8) + 5}}{8} = \dfrac{{37}}{8}$

By performing division:

$\begin{matrix} &8\overset{{4.625}}{\overline{)\;37\;}}\\ &-32\\ &\qquad\overline{\;50\;}\\ &\quad\; -48\\ &\qquad\quad\;\overline{\;20\;}\\ &\qquad\;\; -16\\ &\qquad\qquad\;\overline{\;40\;}\\ &\qquad\quad\;\; -40\\ &\qquad\qquad\;\overline{\;0\;}\\ \end{matrix}$

4. Convert into decimal fraction $\dfrac{5}{{26}}$

$26\overset{0.192307692}{\overline{\left){\begin{align} & \ \ 50 \\ & \underline{-26} \\ & \ \ \ 240 \\ & \ \ \underline{-234} \\ & \ \ \ \ \ 60 \\ & \ \ \ \underline{-52} \\ & \ \ \ \ \ 80 \\ & \ \ \ \underline{-78} \\ & \ \ \ \ \ \ 200 \\ & \ \ \ \ \underline{-182} \\ & \ \ \ \ \ \ 180 \\ & \ \ \ \ \underline{-156} \\ & \ \ \ \ \ \ \ 240 \\ & \ \ \ \ \ \underline{-234} \\ & \ \ \ \ \ \ \ \ \ \ 60 \\ & \ \ \ \ \ \ \ \ \underline{-52} \\ & \ \ \ \ \ \ \ \ \ \ \ \ 8 \\ \end{align}}\right.}}$

5.  Add: $37.8,56,165.08,574.6$.

Ans: By adding given numbers

$37.8+56.00+165.08+574.60=833.48$

Therefore, on adding $37.8,56,165.08,574.6$, we get $833.48 .$ .

6. Subtract $27.56$ from $52.1$.

Ans: By subtracting $27.56$ from $52.1$

$52.10-27.56=24.54$

Therefore, we get $24.54$ on subtracting $25.76$ from $52.1$

7. Simplify: $42.4 - 23.57 + 53.64 - 17.8$

Ans: By adding \[42.4{\text{ and }}53.64\]

$\;\;\,42.40$

$\underline { + \,53.64}$

$\;\;96.04\;\;$    

By adding \[{\text{23}}{\text{.57 and 17}}{\text{.8}}\]   

$\;\;\,23.57$

$\underline { + \,17.80}$

$\;\;\,41.37$         

Now, by subtracting \[{\text{41}}{\text{.37 from 96}}{\text{.04}}\]

$\;\;96.04$

$\underline { - \,\,41.37}$

$\;\;54.67$

4 Mark Questions

1. Arrange the digits \[178.264\] in the place value chart. Write the place value of each digit. AIso, write \[178.264\] in expanded form.

Ans: Place value chart:

Expanded from:

$ 178.264 = 178 + 0.264 \\ \;\;\;\;\;\;\;\;\;\;\;\; = 1 \times 100 + 7 \times 10 + 8 \times 1 + 2 \times \dfrac{1}{{10}} + 6 \times \dfrac{1}{{100}} + 4 \times \dfrac{1}{{1000}} \\ = 100 + 70 + 8 + \dfrac{2}{{10}} + \dfrac{6}{{100}} + \dfrac{4}{{1000}} \\ $

2. Convert decimals into a fraction in its simplest form

(a) \[0.08\]

(b) \[0.525\]

Ans: Simplest form of given decimals can be written as

(a) $0.08 = \dfrac{8}{{100}} = \dfrac{4}{{50}} = \dfrac{2}{{25}}$

(b) $0.525 = \dfrac{{525}}{{1000}} = \dfrac{{105}}{{200}} = \dfrac{{21}}{{40}}$

3. Convert decimals as mixed fraction

(a) \[34.8\]

(b) \[4.284\]

$34.8 = 34 + 0.8$

$ = 34 + \dfrac{8}{{10}}$

$ = 34 + \dfrac{4}{5}$

$ = 34\dfrac{4}{5}$

$4.284 = 4 + 0.284$

$ = 4 + \dfrac{{284}}{{1000}}$

$ = 4 + \dfrac{{142}}{{500}}$

$ = 4 + \dfrac{{71}}{{250}} = 4\dfrac{{71}}{{250}}$

4. Convert fractions into decimals

(a) $\dfrac{{249}}{{100}}$

(b) $\dfrac{{3104}}{{100}}$

(c) $\dfrac{{4002}}{{1000}}$

(a) $\dfrac{{249}}{{100}} = 2.49$

(b) $\dfrac{{3104}}{{100}} = 31.04$

(c) $\dfrac{{4002}}{{1000}} = 4.002$

5 Mark Questions 

1. A student covers a journey by bus in 4 hours. He covers distance of $74 \mathrm{~km} 224 \mathrm{~m}$ during first and second hour, $58 \mathrm{~km} 56 \mathrm{~m}$ during third hour and $62 \mathrm{~km} 8 \mathrm{~m}$ during fourth hour. What is the length of his journey?

Ans: In the question, it is given that,

The distance covered during the first and second hour is $74 \mathrm{~km} 224 \mathrm{~m}$.

The distance covered during the third hour is $58 \mathrm{~km} 56 \mathrm{~m}$.

Distance covered during the fourth hour is $62 \mathrm{~km} 8 \mathrm{~m}$.

$\therefore $ Total distance covered in 4 hours is ${\text{194 km}}\;{\text{288 m}}$ .

$\;\,\,\,74\;{\text{km}}\;\,224\;{\text{m}}$

${\text{  }}\,\,\,{\text{58 km  }}\,\,{\text{56 m}}$

$\underline { + \,\,\,62\;{\text{km    }}\,\,8\;{\text{m}}\;\;}$

$\;\;\,194\,{\text{km}}\;\,\,288\,{\text{m}}$

2. Ganesh purchased a book worth $\text{Rs}\text{.}\,\text{156}\text{.65}$ from a bookseller and he gave him $\text{Rs}\text{.}\,\text{500}$ note. How much balance did he get back?

Ans: Cost of book \[ = {\text{ Rs}}{\text{. }}156.65\]

Total amount given by Ganesh \[ = {\text{ Rs}}{\text{. }}500\]

$\;\;500.00$

$\underline { - 156.65}$

$\;\;343.35$

So, the balance given by shopkeeper \[ = {\text{ Rs}}{\text{. }}343.35\]

3. The total weight of a box containing $14\;{\text{kg}}\,750\;{\text{g}}$ of mangoes, $5\;{\text{kg}}\,80\;{\text{g}}$ of apples is $22\;{\text{kg}}$ $200\;{\text{g}}$. How much is the weight of the empty box? 

Ans: Weight of mangoes $ = 14\;{\text{kg}}\,750\;{\text{g}}$

Weight of Apples $ = 5\;{\text{kg}}\,80\;{\text{g}}$

Total weight of box $ = 22\;{\text{kg}}\,200\;{\text{g}}$  

$\;14\;{\text{kg 750g}}$

$\dfrac{{ + 5\;{\text{kg }}\;\;{\text{80g}}}}{{19\;{\text{kg}}\;830\;{\text{g}}}}$

So, the weight of empty box = total box weight - total weight of fruits

$\Rightarrow 22\,{\text{kg 200 g  -  19 kg 830 g  =  }}2\;{\text{kg}}\,370\;{\text{g}}$ .

Chapter 8 - Decimals

The basic method for denoting integer and non-integer numbers is the decimal numeral system. It is the extension of the Hindu–Arabic numeral system to non-integer numbers. The decimal system's way of denoting numbers is often referred to as decimal notation.

Ex: 5.5, 24.65, 0.5, 100.18 etc.

Representing Decimals on a Number Line

A number line can be defined as a straight line with numbers positioned along its length at equal intervals or segments. In any direction, a number line can be extended indefinitely and is usually represented horizontally.

Ex: Represent the decimal number 3.75 on a number line.

Ans: 3.75 lies between 3 and 4 on a number line which is represented as follow:

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Fractions to Decimal

Multiply the bottom of the fraction to find a number to make it 10, or 100, or 1000, or any 1 followed by 0s.

By that number, multiply both top and bottom.

Then write down the top number only, placing the decimal point in the right position

Ex: Convert 1the fraction 4/5 into decimal notation.

Ans: 14/5 can be written as 28/10 which is obtained by multiplying 2 on both numerator and denominator. 

Now 28/10 = 2.8 is the decimal equivalent of the fraction 14/5.

Decimals to Fraction

Rewrite the decimal number as a fraction over one, where the numerator is the decimal number and one is the denominator.

Multiply both the numerator and the denominator by 10 to the power after the decimal point of the number of digits.

Ex: Convert the decimal number 2.4 into a fraction.

Ans: 2.4 can be written as 2 + 4/10. 

Further, we can write 2 as 20/10.

So 2.4 = 2 + 4/10 = 20/10 + 4/10 = 24/10 is the fractional notation of the decimal number 2.4.

Comparing Decimals

Start at the tenth position when comparing decimals. The decimal is higher for the largest value there. Shift to the hundredth position if they are the same and compare these values. Keep going to the right until you find one that is better or until you find that they are equal if the values are still the same.

Ex: Compare the decimal values and arrange them in ascending order.

2.49, 1.54, 3.65, 3.68, 4.12, 1.48, 2.44.

Ans: In the given series the least number is 1.48 and the greatest number is 4.12. 

So 1.48 < 1.54 < 2.44 < 2.49 < 3.65 < 3.68 < 4.12

Therefore ascending order of the given decimal numbers are

1.48, 1.54, 2.44, 2.49, 3.65, 3.68, 4.12.

Addition of Decimals

Mark the numbers up vertically such that they all sit on a vertical line with the decimal points.

To the right of the number, add extra zeros, so that each number has the same number of digits to the right of the decimal place.

Place the result's decimal point in line with the other decimal points.

Ex: Add 2.46 and 1.72.

Ans: First add the numbers in Hundredth place and next move to tenths place and finally add the numbers in one place.

So, sum of 2 decimal numbers 2.46 + 1.72 = 4.18.

Subtraction of Decimals

As you would whole numbers, deduct the numbers. Place the result's decimal point in line with the other decimal points.

Ex: Subtract 1.57 from 3.24.

Ans: Start subtracting from Hundredth place and next move to tenths place and finally ones place.

So the subtraction of the two decimals is 3.24 - 1.57 = 1.67.

Benefits of Class 6 Maths Chapter 8 Decimals Important Questions

Proper practice is essential before any examination. With the help of important questions for Class 6 Maths Chapter 8 , students will be able to practise more before their examination.

The experts at Vedantu have studied the previous years’ question papers in order to formulate these important questions. Thus, students can figure out the most important topics from the chapter by referring to the questions.

Vedantu experts have also provided solutions to important questions. These solutions have been explained using descriptions, examples, tables, and much more in order to develop an interest in students. They can strengthen their concepts with the help of important questions.

During exams, revision is essential for students. These important questions will help students revise the chapter. By solving the questions, they can complete the chapter easily and save some time for revision.

Experts at Vedantu have created these solutions according to the CBSE guidelines. Thus, students can refer to the solutions and understand the proper answering format that they have to follow in order to score good marks in the examinations. Referring to the questions and solutions will help them improve their answering skills as well.

To study more important questions and solutions on Decimals, students can download the free PDF available on Vedantu which provides top-notch solutions. These solutions provide a step by step solution to all the questions such that all the doubts of students are getting solved. Also, the extra questions in PDF provide a practice exercise for the students to improve their subject knowledge.

Important Related Links for CBSE Class 6 Maths 

FAQs on Important Questions for CBSE Class 6 Maths Chapter 8 - Decimals

1. What is a decimal?

Decimal numbers are a type of number in Maths.  A Decimal is depicted by a dot. A decimal number consists of a whole number and a fractional part. Decimal forms an important concept in math. Decimal numbers can be placed on a number line. Decimals are used in weights, as a measure of distance and even the products that we buy have a maximum retail price that contains a decimal. Examples of decimal numbers are 0.5, 1.85, and 27.578.

2. Can we depict a decimal number on a number line?

Yes. Decimal numbers can be depicted on a number line. Each decimal number will have a unique place on the number line just like the whole numbers. When you draw a number line, you mark certain points as representing the whole numbers. The space between them represents various small and infinite numbers that come between them. A decimal number will come between two whole numbers when drawn on a number line. For example, if you want to draw a number, say 3.5, the number will be placed in the middle of the number 3 and number 4.

3. Is Chapter 8 of Class 6 Maths important?

Decimals help us to express various quantities or measures. We use decimals in our daily life knowingly or unknowingly. The chapter on decimals will help you understand the need and basis of decimals. In your higher classes, it will be expected of you that you have a basic knowledge and understanding of decimals. Decimals will form an important part of not only your math curriculum. They will also be crucial in your science and economics. The chapter is important because it helps you develop your foundation for the whole world of decimals, numbers and measures that you will be exploring later in your school life.

4. How do you show 0.2 on a number line?

The number line allows us to depict various numbers. The ruler you use will give you an idea about how a number line works and helps us in our daily life. Various numbers are marked on the number line. The space between them tells us that several smaller numbers exist between two numbers. If you want to draw 0.5 on a number line, you will know that the number is greater than 0 but smaller than 1. The 5 after the decimal tells you how much it is away from the 0 or how much it is closer to 1. It is 5 away from 0 and 1. This means that it will be placed in the middle of 0 and 1.

5. How should I approach Chapter 8 of Class 6 Maths?

Chapter 8 of Class 6 describes decimals to you. To understand the concept, make sure that you are regular to your classes. Go through the text once in your free time after it has been taught by the teacher. The language of the book is such that you understand the concepts easily. Make short notes. Practice the examples and the questions given in the textbook. Revise the notes daily. Seek your teacher’s help when you have a doubt.

Chapter wise Important Questions for CBSE Class 6 Maths

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