case study for class 6th maths

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CBSE 6th Standard CBSE all question papers, important notes , study materials , Previuous Year questions, Syllabus and exam patterns. Free 6th Standard CBSE all books and syllabus online. Practice Online test for free in QB365 Study Material. Important keywords, Case Study Questions and Solutions. Updates about latest education news and Scholorships in one place.

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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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CBSE Class 6 Mathematics Knowing our Numbers Extra Questions

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CBSE Class 6 Mathematics Knowing our Numbers Extra Questions. myCBSEguide has just released Chapter Wise Question Answers for class 6 Maths. There chapter wise Practice Questions with complete solutions are available for download in myCBSEguide   website and mobile app. 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.

CBSE Class 6 Maths Extra Questions

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CBSE Class 6 Maths Chapter 1 Important Questions

Ch – 1 Knowing our Numbers

• None of these
• 10000000, 10000001, 10000002, 10000003, 10000004
• 10000001, 10000002, 10000003, 10000004, 10000005
• 10000004, 10000003, 10000002, 10000001, 10000000
• 7 8,92,10,92
• 7,89,21,092
• 1 2202, 7691

Match the following-

Fill in the blanks:

• 1 million = _____ hundred thousand.
• 1 crore = _____ ten lakh.
• 1 crore = _____ million.
• 1 million = _____ lakh.

State whether the following statements are true or false.

• 1 Thousand = 10 hundred.
• There are many Roman Numbers.
• You are using estimation to get rough idea.
• Standard unit of mass is centimetre.
• How many crores makes a billion?
• Find the greatest number from below number 763298 and 764298
• Place commas correctly and write the numerals : a) Seventy three lakh seventy five thousand three hundred seven. b) Nine crore five lakh forty one. c) Seven crore fifty two lakh twenty one thousand three hundred two. d) Fifty eight millions four hundred twenty three thousand two hundred two.
• On Sunday 6000 people visited a zoo. Among them 2615 were children then how many adult visited zoo?
• Kirti Bookstore sold books worth Rs.2,85,891 in the first week of June and books worth Rs.4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?
• Find the greatest and the smallest number. 42375, 42367, 42329, 42338.
• Write and solve the expression: Thirteen multiplied by sum of four and eleven. Now reverse the result and add it to earlier result, what you obtain multiply it by 13.
• 10000000, 10000001, 10000002, 10000003, 10000004 Explanation: The smallest 8-digit number is 1,00,00,000 and the next four numbers are 1,00,00,001, 1,00,00,002, 1,00,00,003 and 1,00,00,004
• 24657 Explanation: The number has 4 in thousands place and 6 in hundreds place
• 1410 Explanation: 567 + 843 = 1410
• 12202, 124 Explanation: The number containing 5 digits is greater than the numbers containing digits 4 or 3 in short 5 digit number > 4 digit number > 3 digit number The number containing 3 digits is smaller than the numbers containing digits 4 or 5 in short 3 digit number < 4 digit number < 5 digit number
• {tex} \to {/tex} q
• {tex} \to {/tex} p
• {tex} \to {/tex} s
• {tex} \to {/tex} r
• 1 million = ten hundred thousand.
• 1 crore = ten ten lakh.
• 1 crore = ten million.
• 1 million = ten lakh.
• 1 billion= 100 crore
• 764298 is the greatest number
• a) 73,75,307 b) 9,05,00,041 c) 7,52,21,302 d) 58,423,202
• Total number of people visited the zoo = 6000 people Total number of children = 2615 children Then number of adults = 6000 – 2615 = 3385
• Sale of books in the first week = Rs.2,85,891. Sale of books in the second week = Rs.4,00,768 ∴ Sale for the two weeks together = Rs.2,85,891 + Rs.4,00,768 = Rs.6,86,659. The sale was greater in the second week by Rs. 4,00,768 – Rs.2,85,891 i.e., by Rs.1,14,877.
• The greatest number is 42375 The smallest number is 42329
• Expression 13 {tex} \times {/tex} (4 + 11) = 13 {tex} \times {/tex} 15= 195 On reversing the answer = 591 Adding reversing number to the result i.e. 591 + 195 = 786 Multiplying it by 13 i.e. 786 {tex} \times {/tex} 13= 10218.

Chapter Wise Extra 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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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
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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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where is socail case based question ?????

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Class 7 Maths case study besed questions

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Unit 3: Basic geometrical ideas

Point, line segment, line and ray.

• Basic Geometrical terms (Opens a modal)
• Terms & labels in geometry (Opens a modal)
• Rays, lines and line segments (challenge problems) Get 3 of 4 questions to level up!

Intersecting and parallel lines

• Parallel and Intersecting lines (Opens a modal)

Curves and polygons

• Intro to curves (Opens a modal)
• Polygons as special curves (Opens a modal)
• Open and closed curves Get 3 of 4 questions to level up!
• Position of a point in curves and polygons Get 3 of 4 questions to level up!
• Angles: introduction (Opens a modal)
• Naming angles (Opens a modal)
• Name angles Get 3 of 4 questions to level up!
• Identify parts of an angle Get 3 of 4 questions to level up!

• প্রবিধানমালা
• স্থাবর অস্থাবর সম্পত্তির তালিকা
• প্রতিষ্ঠানের লক্ষ্য ও উদ্দেশ্য
• ভিশন ও মিশন
• সিটিজেন চার্টার
• অর্গানোগ্রাম
• কর্মকর্তাবৃন্দ
• টেলিফোন ইন্ডেক্স
• প্রাক প্রাথমিক
• উচ্চ মাধ্যমিক
• জাতীয় শিক্ষাক্রম রূপরেখা
• সম্পূরক পঠনসামগ্রী প্রণয়ন ও নির্বাচন নীতিমালা

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• জেএসসি পরীক্ষার মান বন্টন ও নমুনা প্রশ্ন
• নীতিমালা ও নোটিশ
• শিখন ঘাটতি চিহ্নিতকরণ ও নিরাময়যোগ্য পাঠ পরিকল্পনা

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• প্রাথমিক শিক্ষাক্রম মূল্যায়ন

নতুন বছরের পাঠ্যপুস্তক

• ২০২৪ শিক্ষাবর্ষের সকল স্তরের পাঠ্যপুস্তক
• English for Today Listening Text
• পাঠ্যপুস্তক সংক্রান্ত মতামত
• ২০২৩ শিক্ষাবর্ষের সকল স্তরের পাঠ্যপুস্তক
• ২০২২ শিক্ষাবর্ষের সকল স্তরের পাঠ্যপুস্তক
• ২০২১ শিক্ষাবর্ষের সকল স্তরের পাঠ্যপুস্তক
• ২০২০ শিক্ষাবর্ষের সকল স্তরের পাঠ্যপুস্তক
• ২০১৯ শিক্ষাবর্ষের সকল স্তরের পাঠ্যপুস্তক
• ২০১৮ শিক্ষাবর্ষের সকল স্তরের পাঠ্যপুস্তকের তালিকা
• ২০১৭ শিক্ষাবর্ষের সকল স্তরের পাঠ্যপুস্তকের তালিকা

নতুন বছরের শিক্ষক সহায়িকা

• ২০২৪ শিক্ষাবর্ষের শিক্ষক সহায়িকা

শিক্ষক সহায়িকা আর্কাইভ

• ২০২৩ শিক্ষাবর্ষের শিক্ষক সহায়িকা
• প্রাথমিক স্তর

শিক্ষক ডায়েরি

• ২০২৩ শিক্ষাবর্ষের শিক্ষক ডায়েরি

আইডিটি ও ই-লার্নিং

• ই-লার্নিং ও ই-ম্যানুয়েল
• আইডিটি ষষ্ঠ শ্রেণি

ডিজিটাইজেশন

• পাঠ্যপুস্তকের চাহিদা গ্রহণ/বিতরণ সিস্টেম
• ডিজিটাল স্বাক্ষর

মাল্টিমিডিয়া টকিং বুক

• ২০২৩ শিক্ষাবর্ষের ব্রেইল এর সকল শ্রেণির মাল্টিমিডিয়া টকিং বুক
• উদ্ভাবনী কমিটি
• নতুন আইডিয়া
• প্রাথমিক স্তরের মূল্যায়ন নির্দেশিকা
• এনওসি ও বিদেশ ভ্রমন
• পদন্নোতি/বেতন নির্ধারণ
• বিদেশ ভ্রমন
• অন্যান্য অফিস আদেশ
• গুরুত্বপূর্ণ ডকুমেন্টসমূহ
• আর্কাইভ নোটিশ
• ঋণদান নীতিমালা ২০২০

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• ফটোগ্যালারি
• ভিডিও গ্যালারি

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২০১৮ শিক্ষাবর্ষের নবম ও দশম শ্রেণির পাঠ্যপুস্তক

পরিকল্পনা ও বাস্তবায়নে:  মন্ত্রিপরিষদ বিভাগ ,  এটুআই ,  বিসিসি ,  ডিওআইসিটি  ও  বেসিস ।

কারিগরি সহায়তায়:

• 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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Can music education boost grades, attendance? A new case study suggests it might

A new case study that included hundreds of Tennessee public schools suggests that music education may be tied to better math and reading scores, along with better attendance and positive social, emotional and behavioral effects.

The study, titled "Face the Music: A Case Study for Expanding Music and Arts in Schools," was the result of a joint effort between the CMA Foundation and the Mr. Holland's Opus Foundation. It examined the challenges and benefits stemming from music and arts education across 589 schools and 23 districts in Tennessee, and also included feedback from music and arts teachers, students and lifelong learners.

“Music and arts education are playing a key role in helping students catch up after the pandemic, from helping with math and reading proficiency to coping with stress and trauma. The research is clear: arts and music classes are a must-have, not a nice-to-have," CMA Foundation Executive Director Tiffany Kerns said in a news release.

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The foundations behind the study hope it will serve as a model for other states to boost music and arts education at the state and district level, along with gaining support from nonprofit organizations and philanthropy.

Here are key takeaways from the study.

Related: TN high school band gets surprise invite to perform at CMA Fest as director wins award

A connection between music, arts, math and reading

Data from the majority of districts in the study showed that students enrolled in music and arts programs demonstrated significantly higher proficiency rates in math and literacy. The majority of districts also saw better attendance rates from music and arts students, compared to schoolwide averages. These outcomes align with a handful of other studies. However, the case study report did note an important caveat: Most studies on music and arts participation don't prove it's the cause of improved academics.

Here's a look at the proficiency and attendance numbers the study revealed:

• Roughly 1-in-4 school districts reported 47% of students enrolled in music and arts programs showed reading proficiency, compared to an overall school average of 36%.
• Roughly 7-in-10 school districts reported 46% of students enrolled in music and arts programs excelled in math, compared to an overall school average of 35%.
• Roughly 3-in-4 districts reported increased attendance rates for students enrolled in music and arts programs. The study noted that schools where music and arts students outpaced the school average for attendance saw an average attendance boost of 12%.

Systemic barriers to music and arts education

The case study also outlined factors that hamper access to music and arts education for students and schools. They largely align with trends reported in the most recent National Arts Education Status Report and historical data from the Tennessee Arts Education Data Project, the study said.

The barriers for students identified in the study are:

• Participation requirements, including after-school attendance and prerequisites or auditions
• Housing insecurity
• Transportation challenges
• Participation fees
• Equipment costs

The study also showed that curriculum scheduling is a primary issue facing schools. That can disrupt the ability to offer sequential music and arts classes in every grade, allowing students to explore a variety of options and build upon their skills each year.

Recommendations for action

The study mapped out a series of recommendations for how everyone from parents and students to educators and lawmakers can take action to bolster music and arts education in Tennessee.

For school community members like parents, students and educators, that can range from simply attending music and arts events to show support to advocating for more funding for programs. The study also calls on school and state leaders to partner to fund music and arts education, train teachers and develop partnerships that help sustain those programs in schools. It also challenges philanthropic organizations to fund grants, promote advocacy and awareness and take other steps to partner with and support schools.

"Each of us can support a system of change to enhance music and arts education for a more well-rounded education for our students," the study stated.

A look at the demographics and schools

The demographics of the schools that participated were similar to the state of Tennessee as a whole, but they differed slightly when it came to the population of public school students statewide. Students in the study were:

• 16% Black or African American
• 9% Hispanic or Latino
• 2% other racial identities
• 24% socioeconomically disadvantaged
• 13% engaged in special education services
• 9% English language learners
• 2% experiencing homelessness or in foster care
• 1% identified as migrants or refugees

According to 2022-23 academic year data from the Tennessee Department of Education, here's how Tennessee schools demographics broke down:

• 24% Black and African American
• 14% Hispanic
• 3% other racial identities
• 30% economically disadvantaged
• 14% students with disabilities
• 8% English learners
• Less than 1% in foster care
• 2% experiencing homelessness
• Less than 1% identified as migrants

Here's the full list of districts that participated in the case study:

• Arlington Community Schools
• Bartlett City Schools
• Benton County Schools
• Chester County School District
• Clarksville-Montgomery County School System
• Coffee County School District
• Germantown Municipal School District
• Giles County School System
• Greene County Schools
• Hamilton County Schools
• Jackson-Madison County School District
• Knox County Schools
• Lincoln County Schools
• Marion County Schools
• Maury County Public Schools
• Metro Nashville Public Schools
• Paris Special School District
• Robertson County Schools
• Rutherford County Schools
• Tullahoma City Schools
• Weakley County Schools
• Williamson County School 
• Wilson County Schools

The CMA Foundation is the philanthropic arm of the Country Music Association. More information, along with the foundation's extensive research and initiatives, can be found at cmafoundation.org . Learn more about the Mr. Holland's Opus Foundation at mhopus.org .

This article originally appeared on Nashville Tennessean: Can music education boost grades, attendance? A new case study suggests it might

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Case Study Questions for Class 6 Maths Chapter 6 Integers

• Last modified on: 9 months ago
• Reading Time: 9 Minutes

Here in this article, we are providing case study questions for class 6 maths. Here you will find case study questions for class 6 maths Chapter 6 Integers .

Case Study Question 1:

A child was given 5 quiz tests and the scores of his were recorded as follows : -3, +7, 0, -2, 6

(i) What is the lowest score the child got? (a) -3 (b) -2 (c) 0 (d) 6 Ans. Option (a) is correct. Explanation: -3 is the smallest integer in the given set of scores.

(ii) What is the difference between the highest and the lowest score? (a) 4 (b) -4 (c) -10 (d) 10 Ans. Option (d) is correct. Explanation: The highest score is 7 , the lowest score is -3 . Difference =7 – (-3) =7 + 3 = 10

(iii) Which integer lies to the extreme left on the number line? (a) -2 (b) 0 (c) -3 (d) 7 Ans. Option (c) is correct. Explanation:

-3 lies to the extreme left. (iv) Find the sum of -3, +7, 0, -2, 6. Sol. -4

(v) Write the predecessor of positive number and successor of negative number of -3, +7, -2, 6. Sol. Predecessor of 7 = 6 Predecessor of 6 = 5 Successor of -3 = -2 Successor of -2 = -1

Related Posts

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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Important Questions for CBSE Class 6 Maths Chapter 10 - Mensuration

• Class 6 Important Question
• Chapter 10: Mensuration

CBSE Class 6 Maths Important Questions Chapter 10 - Mensuration - Free PDF Download

In Mathematics, mensuration deals with measurements of various shapes and patterns along with their dimensions, volume, area, perimeter, etc. Being in class 6, it is essential for every scholar to be well aware of each of the chapters to score high marks in exams. So, try and devote as much time in practising mensuration related problems.

As a helping guide, you can refer to important questions for class 6 maths chapter 10 solutions and get familiar with the techniques to solve the problems faster.

Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students.You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in CBSE board examination. 

Download CBSE Class 6 Maths Important Questions 2024-25 PDF

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

Mensuration Class 6 Important Questions Free PDF Download

Very short answer questions. 1 mark .

Q1. Length of boundary of a plane figure is called_____

Q2. Perimeter of rectangle \[=\] ____?

We know that Perimeter of rectangle $=2(l+b),$

Here, 

\[\begin{align} & l=\text{length} \\ & b=\text{breadth} \\ \end{align}\]

Q3. Perimeter of square = ___?

We know that perimeter is the length of the boundaries of a figure.

Square has four sides. 

Therefore, Perimeter of square $=4\times \text{side}$

Q4. The ratio of circumference of a circle and it’s ______ is always constant.

The ratio of circumference of a circle and it’s diameter is always constant.

We know that, circumference of a circle \[=2\pi r\]

Diameter of a circle $=d=2r$

Ratio will be \[\begin{align} & \frac{2\pi r}{2r} \\ & =2 \\ \end{align}\]

Hence, the ratio is constant.

Q5. Circumference of a circle, $C=$ ________?

We know that circumference is the total length of the boundary of a figure.

So, $C=2\pi r$

Q6. Value of $\pi $:

(a) In fractions is ________

(b) In decimals is ________

(a) Value of $\pi $ in fraction is $\frac{22}{7}.$

(b) Value of $\pi $ in decimals is $3.14$

Q7. Area of rectangle \[=(a)\_\_\_\_\_\_\_\times (b)\_\_\_\_\_\_\text{square}\text{units}.\]

We know that area of rectangle $=\text{length}\times \text{breadth}$

Q8. Area of square \[=(a)\_\_\_\_\_\_\_\times (b)\_\_\_\_\_\_\text{square}\text{units}.\]

We know that area of a square is $=\text{side}\times \text{side}$

Short Answer Questions.                                         2 Marks

Q1. Length and breadth of a rectangle are \[12.3\text{cm}\] and \[9.6\text{cm}\]respectively. Find its perimeter.

Given: Length $=12.3\text{cm}$

Breadth $=9.6\,\,\text{cm}$

We know perimeter $=2(l+b)$

\[\begin{align} & =2(12.3+9.6) \\ & =31.5\text{cm} \\ \end{align}\]

Q2. Find the cost of fencing a square field of \[175\text{m}\] at Rs.\[60\text{ per metre}.\]

Given: Perimeter of square field $=175\text{m}$

We need to find the cost of fencing the field.

Perimeter $=175\,\,\text{m}$

Cost of fencing per metre $=\text{Rs}\text{.}60$

So, total cost of fencing will be

\[\begin{align} & =175\times 60 \\ & =\text{Rs}\text{. 10,500} \\ \end{align}\]

Q3. Find the perimeter of a square whose has sides measuring $6.4\text{cm}$

Given: Side of square $=6.4\text{cm}$

We need to find the perimeter of the square.

We know that the perimeter of the square $=4\times \text{side}$ So, Perimeter of square will be

\[\begin{align} & \text{P}=4\times 6.4 \\ & =25.6\text{cm} \\ \end{align}\]

Q4. Find circumference of a circle of radius \[13\text{cm}.\]

Given: Radius $=13\text{cm}$

We need to find the circumference of the circle.

We know, Circumference $=2\pi r$

$\begin{align} & =2\times \frac{22}{7}\times 13 \\ & =81.714\text{cm} \\ \end{align}$

Q5. Find the diameter of a circle whose circumference is \[88\text{cm}.\]

Given: Circumference of a circle $=88\text{cm}$

We need to find the diameter of the circle.

We know that circumference $=\pi d$

\[\begin{align} & \Rightarrow d=\frac{C}{\pi } \\ & =\frac{88}{\pi } \\ & =\frac{88}{22}\times 7 \\ & =4\times 7 \\ & =28\text{cm} \\ \end{align}\]

Short Answer Questions. 3 Marks

Q1. The length and breadth of a rectangle field are \[340\text{m}\] and \[160\text{m}\text{.}\] A watchman walked $5$ rounds around the field. Find the distance covered by him.

Given: length of rectangular field, $l=340\text{m}$

Breadth of rectangular field, $b=160\text{cm}$

We need to find the distance covered by the watchman.

We know that Perimeter, $\text{P}=2(l+b)$

\[\begin{align} & =2(340+160) \\ & =2(500) \\ & =1000\text{cm} \\ \end{align}\]

This is the length of one round but watchman walked 5 rounds.

So, distance covered by watchman will be

\[\begin{align} & =5\times 1000 \\ & =5000\text{cm} \\ \end{align}\]

Q2 . The length and breadth of a rectangular box is in the ratio \[4:5.\] If its perimeter \[4\text{m }40\text{cm}.\] Find its dimensions.

Given: $\frac{l}{b}=\frac{4}{5}$

Perimeter $=4\,\text{m }40\,\text{cm}$

We need to find the length and breadth of the rectangular box.

Let length of the box $=4x$

Breadth of the box $=5x$

So, we know that

\[\begin{align} & \text{P}=2(l+b)=4\text{m }40\text{cm} \\ & =2(4x+5x)=4\text{m }40\text{cm} \\ & =2(9x)=4.4\text{m} \\ & =18x=4.4\text{m} \\ & \Rightarrow x=\frac{4.4}{18} \\ & =0.244\text{m} \\ \end{align}\]

Therefore, the dimensions of the rectangular box will be

\[\begin{align} & l=4x \\ & =4\times 0.244 \\ & =0.976\text{ cm} \\ & =97.6\text{ m} \\ & b=5x \\ & =5\times 0.244 \\ & =1.22\text{ cm} \\ & =122\text{ m} \\ \end{align}\]

Q3. How many square tiles each of side \[0.25\,\text{m}\] will be required to pane the floor of a room which is \[4\,\text{m}\]broad and \[3\,\text{m}\] long?

Ans:  

Given: Length of room, $l=4\,\text{m}$

Breadth of the room, $b=3\,\text{m}$

Area of the room will be

\[\begin{align} & =4\times 3\,\text{square meters} \\ & =12\,\text{square meters} \\ \end{align}\]

Side of square tile =0.25 m

\[\begin{align} & =\frac{1}{4}\,\text{m} \\ \end{align}\]

Area of each square tile will be

\[\begin{align} & =\left( \frac{1}{4}\times \frac{1}{4} \right)\,\text{sq}\text{. meters} \\ & =\frac{1}{16}\,\text{sq}\text{. meters} \\ \end{align}\]

Therefore, number of tiles needed to pane the floor of the room will be

\[\begin{align} & =12\div \frac{1}{16} \\ & =12\times 16 \\ & =192\,\,\text{tiles} \\ \end{align}\]

Q4. Calculate area( all units are in m)

We need to find the area of the figure.

We know that area of rectangle $=l\times b$

So, area of rectangle, $1={{A}_{1}}=l\times b$

\[\begin{align} & =3\times 1 \\ & =3\text{ sq}\text{. meters} \\ \end{align}\]

Area of rectangle, $2={{A}_{2}}=l\times b$

\[\begin{align} & =6\times 1 \\ & =6\text{ sq}\text{. meters} \\ \end{align}\]

Area of rectangle, $3={{A}_{3}}=l\times b$

Therefore, area of the figure will be

\[\begin{align} & A={{A}_{1}}+{{A}_{2}}+{{A}_{3}} \\ & =3+6+3 \\ & =12\text{ sq}\text{. meters} \\ \end{align}\]

Long Answer Questions. 4 Marks                               

Q1. Find the perimeter of a regular heptagon having each side equal to \[5.5\text{ cm}\]

Given: A regular heptagon with side \[5.5\text{ cm}\]

We need to find the perimeter of the heptagon.

We know that perimeter is the length of outer sides of a figure.

Regular heptagon means a figure of $7$ sides and all sides are equal.

Therefore, the perimeter of the heptagon will be

\[\begin{align} & =7\times \text{side} \\ & =7\times 5.5 \\ & =38.5\text{ cm} \\ \end{align}\]

Q2. Find the perimeter of the below figure and the figure is symmetrical about its horizontal axis.

Given: the figure which is symmetrical about its horizontal axis.

We need to find the perimeter of the given figure.

We know that the perimeter is the total length of all sides of the given figure.

Therefore, perimeter of the given figure will be

\[\begin{align} & =8+16+4+12+12+4+16 \\ & =8+20+21+20 \\ & =70\text{ cm} \\ \end{align}\]

Q3. Find the area of the following figure with each square of area \[1\text{ c}{{\text{m}}^{\text{2}}}\].

Given: The figure having each square of area \[1\text{ c}{{\text{m}}^{\text{2}}}\]

Total number of squares the figure have $=16$

Area of one square \[=1\text{ c}{{\text{m}}^{\text{2}}}\]

Therefore, the area of the figure will be

\[\begin{align} & =16\times 1\text{ c}{{\text{m}}^{\text{2}}} \\ & =16\text{ c}{{\text{m}}^{\text{2}}} \\ \end{align}\]

Q4. Find area of rectangle whose length and breadth are \[35\text{ cm}\] and \[15\text{ cm}\]. Find the perimeter of the rectangle.

Given: length of rectangle, \[l=35\text{ cm}\]

Breadth of rectangle, $b=15\text{ cm}$

We need to find the area and perimeter of the rectangle.

Therefore, area will be

\[\begin{align} & =35\times 15 \\ & =525\text{ c}{{\text{m}}^{2}} \\ \end{align}\]

Also, we know that perimeter of a rectangle $=2(l+b)$

Therefore, perimeter will be

\[\begin{align} & =2(35+15) \\ & =2\times 50 \\ & =100\text{ cm} \\ \end{align}\]

Long Answer Questions.                                              5 Marks                               

Q1. The cost of cultivating a square field is \[\text{Rs}.130\text{ per meter}\] is \[\text{Rs}\text{. }8,450\] . Find the length of each side of the field.

Given: Cost of cultivating a square field $=\text{Rs}.130\text{ per meter}$

Total cost of cultivating the square field $=\text{Rs}\text{. }8,450$

We need to find the length of the side of square field.

Area of square field $=\frac{\text{Total cost of cultivating}}{\text{Per meter cost of cultivating}}$

\[\begin{align} & =\frac{8450}{130} \\ & =65\text{ }{{\text{m}}^{2}} \\ \end{align}\]

Now, we know that area of a square $=\text{side}\times \text{side}$

Therefore, the length of the each side of square field will be

\[\begin{align} & 65=\text{side}\times \text{side} \\ & {{\text{s}}^{\text{2}}}=65 \\ & \text{s}=\sqrt{65} \\ & \text{s}=8.06\text{ cm} \\ \end{align}\]

Class 6 maths chapter 10 important questions set can be downloaded in PDF format entirely free of cost. However, you can even study the same from Vedantu's website. All the problems are worked out as per the latest CBSE rules and written in a step by step manner, making it feasible for everyone to understand.

Mensuration Questions for Class 6 Overview

Important questions for class 6 maths chapter 10: questions carrying 1 mark.

In the first section of class 6 mensuration questions PDF, you will see eight fill in the blank questions of 1 mark each. It is one of the easiest portions, and you must be thorough with the formulas and concepts to precisely answer these questions.

Important Questions for Class 6 Maths Chapter 10: Questions Carrying 2 Marks

This segment in the PDF of important questions for class 6 maths mensuration contains 5 questions of 2 marks each. Here, you are supposed to solve the problems and find out the perimeter, area, cost of fencing a field, etc. of different shapes like square, rectangle and circle. Hence, knowing the right formula is immensely important to get correct answers. 

You can refer to the solutions provided in this PDF and recapitulate knowledge of the mensuration chapter.

Important Questions for Class 6 Maths Chapter 10: Questions Carrying 3 Marks

Here, in questions on mensuration for class 6 PDF, the questions are complicated than the previous ones. For instance, a rectangular field's length and width are provided, and it is said that a watchman has walked 5 rounds. You are asked to find out the total distance he covered.

Similar type of questions are there in the important question material, and you must go through each sum to be thorough with the solution procedures.

Important Questions for Class 6 Maths Chapter 10: Questions Carrying 4 Marks

This section in CBSE class 6 maths mensuration questions consist of four questions, out of which three of them are diagram based. Figures with some of the dimensions are given, and you are required to find out the perimeter, area, etc. of the same.

Important Questions for Class 6 Maths Chapter 10: Questions Carrying 5 Marks

The final section contains only three questions. First one is related to finding the length of one side of a field, the second one is about evaluating the perimeter of a given rectangle, and the last one requires you to calculate the breadth of a room.

All the necessary dimensions are provided; all you need to do is take the right approach and put the right formula to solve the sums.

So, make sure to download Vedantu's important questions for class 6 maths chapter 10 and revise the techniques to solve problems more quickly.

What are the Benefits of Important Questions from Vedantu for Class 6 Maths Chapter 10 - Mensuration

Explore the advantages of Vedantu's Important Questions for Class 6 Maths Chapter 10 - "Mensuration." Tailored to the chapter's essence, these benefits include focusing on key topics for efficient study, alleviating exam anxiety, reinforcing fundamental concepts, imparting effective time management skills, enabling self-assessment and progress tracking, fostering a strategic approach for higher scores, covering a broad range of topics for comprehensive understanding, and providing crucial support for exam preparation, instilling confidence in class 7 students with simplicity and clarity.

Important Related Links for CBSE Class 6 Maths 

Delve into the key questions of Class 6 Maths Chapter 10 - "Mensuration" for a comprehensive understanding. The additional and crucial questions engage in focused discussions, covering all themes of the chapter. This method, centred on questions and answers, proves efficient for exam preparation, saving time, aiding in chapter revision, and enhancing comprehension. Regular practice of these essential questions simplifies preparation and instils confidence for upcoming exams.

FAQs on Important Questions for CBSE Class 6 Maths Chapter 10 - Mensuration

1. What is the syllabus of class 10 CBSE maths?

Class 10 CBSE maths syllabus comprises of fourteen chapters in total. The unit names are Whole numbers, Basic Geometrical Ideas, Knowing Our Numbers, Understanding Elementary Shapes, Playing with Numbers, Integers, Fractions, Decimals, Algebra, Data Handling, Symmetry, Ratio and Proportion, Mensuration and Practical Geometry.

2. What are the uses of mensuration in day to day life?

Mensuration has a vast number of uses in real life. For instance, measurement of land, sites, floors for real estate purposes, evaluation of item quantities like milk, solid items, other edible or non-edible items, etc. Furthermore, mensuration is also necessary for estimating the cost of fencing, painting, covering a floor with carpet, etc.

Apart from these, mensuration is essential for constructing overhead tanks and knowing the water level and quantity in lakes or rivers.

3. What are the kinds of 2-D and 3-D geometrical shapes used in mathematics?

2-D objects or shapes consist of only two dimensions: length and breadth, whereas 3-D objects have three dimensions – length, breadth and thickness. However, 2-D objects are not available in the real world and can be only depicted on paper or plane surfaces. Some of the widely used 2-D shapes are circle, square, triangle, rectangle, hexagon and pentagon.

On the other hand, 3-D objects have volume and total surface area, and some of its examples are the pyramid, cone, triangle prism, cuboid, cube, cylinder, etc.

4. How many exercises are there in Chapter 10 ‘Mensuration’ of Class 6 Maths?

Ans: There are three exercises in Chapter 10 ‘Mensuration’ of Class 6 Maths. These exercises are listed as Exercise 10.1, Exercise 10.2 and Exercise 10.3. You can check out Vedantu’s official website (vedantu.com) if you want the answers to textbook questions. Additionally, this website will provide you with a lot of study material including important questions and answers, notes of the chapter, mock test papers, etc absolutely free of cost. It explains every single concept of the chapter in detail.

5. What steps do I need to follow to get important questions of Chapter 10 of Class 6 Maths?

Ans: To get important questions of Chapter 10 ‘Mensuration’ of Class 6 Maths, you need to go through the mentioned steps. 

Check out Vendantus's website . 

This link will land you on the important questions webpage of Vedantu where you will find all the study stuff related to Chapter 10 ‘Mensuration’ of Class 6 Mathematics book. 

On this page, you’ll find the icon of download PDF. 

Click on that icon and the questions will be downloaded.

6. What should I do to prepare well for the Chapter 10 of Class 6 Maths exam?

Ans: If you want to prepare well for the Chapter 10 ‘Mensuration’ of Class Maths exam then you must attend your school lectures regularly. You must not lose focus when your Maths teacher is teaching the chapter or solving the textbook questions. You are required to revise this chapter at your home. While understanding the chapter, you can make a separate notebook for formula and solving textbook exercises questions. These notebooks will help you to revise the chapter at a faster pace during your exam and you’ll be able to recall things easily.

7. What is Mensuration according to Chapter 10 of Class 6 Maths?

Ans: Mensuration is a branch of Mathematics that is related to the study of geometric figures. It involves the calculation of important parameters of the figures including length, volume, area, surface area, lateral surface area, etc. This branch of maths deals with the methods of calculation, important equations and properties of different geometric figures and shapes along with their applications. Mensuration helps to identify the size, density and region of both two-dimensional and three-dimensional figures.

8. Explain some important terms of Mensuration as mentioned in Chapter 10 of Class 6 Maths.

Ans: The important terms of Mensuration are as follows.  

Area- It is defined as the surface occupied by any object. It is represented with the letter A. It has an SI unit in squares. For example, meter square, centimetre square, etc. 

Perimeter- It is defined as the boundary’s total length. It is expressed with the letter P and is represented with a square unit. 

Volume- It is the space occupied by a three-dimensional object. This property is only found in 3-D shapes or objects that include an additional parameter of height. It is denoted with the symbol V and is represented with cube units. For example- metre cube, centimetre cube, etc.

Chapter wise Important Questions for CBSE Class 6 Maths