case study for maths class 6

Number play Class 6 Case Study Questions Maths Chapter 3

Last Updated on November 21, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 6 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 6 maths. In this article, you will find case study questions for CBSE Class 8 Maths Chapter 3 Number play. It is a part of Case Study Questions for CBSE Class 6 Maths Series.

Table of Contents

Case Study Questions on Number play

The concept of palindromic numbers involves numbers that read the same forwards and backwards. Examples of such numbers include 121, 1331, and 12321. These numbers are symmetrical and have interesting mathematical properties. Palindromes are not just visually appealing; they also exhibit unique behaviours when manipulated through certain mathematical processes. For instance, you can create a palindrome by reversing the digits of a number and adding it to itself until a palindromic number is obtained. This process often leads to surprising results and highlights the beauty of symmetry in numbers.

Q. 1. What is the defining characteristic of a palindromic number? (a) It is divisible by 10. (b) It has no repeated digits. (c) It reads the same forwards and backwards. (d) It is always a prime number.

Difficulty Level: Easy

Ans. Option (c) is correct. Explanation: A palindromic number reads the same forwards and backwards.

Q.2. Which of the following is an example of a palindromic number? (a) 123 (b) 112 (c) 1331 (d) 245

Ans. Option (c) is correct. Explanation: 1331 is a palindromic number because it reads the same forwards and backwards.

Q. 3. What happens when you reverse the digits of a number and add it to itself? (a) The result is always a prime number. (b) The result is always a multiple of 10. (c) You may obtain a palindromic number. (d) The result is always larger than the original number.

Difficulty Level: Medium

Ans. Option (c) is correct. Explanation: Reversing the digits and adding it to the original number can lead to a palindromic number.

Q. 4. Describe a mathematical process that can result in a palindromic number.

Ans. To create a palindromic number, you can start with any number, reverse its digits, and then add the reversed number to the original number. Repeating this process often leads to a palindromic number. For example, starting with 56, reversing the digits gives 65. Adding 56 and 65 results in 121, which is a palindrome.

Topics from which case study questions may be asked

• Numbers can Tell us Things
• Pattern of Numbers on a Number Line
• Playing with Digits
• Pretty Palindromic Patterns
• The Magic Number of Kaprekar
• Clock and Calendar Numbers
• Mental Math
• Playing with Number Patterns
• An Unsolved Mystery
• Simple Estimation
• Games and Winning Strategies

Case study questions from the above given topic may be asked.

Understanding Number play

Numbers play a vital role in our daily lives, helping us to organize and manage various tasks. Whether we are counting, shopping, or planning, numbers are involved. You’ve already learned how to use basic operations like addition, subtraction, multiplication, and division to solve everyday problems.

Frequently Asked Questions (FAQs) on Number play Case Study

Q1: what is the smallest four-digit number that can be used in kaprekar’s process.

A1: 1000 is the smallest four-digit number that can be used in Kaprekar’s process, where digits are rearranged and subtracted.

Q2: In a 12-hour clock, what is the angle between the hour and minute hands at 6:00?

A2: At 6:00, the hour and minute hands are opposite to each other, forming a 180-degree angle.

Q3: Which number pattern involves increasing or decreasing by a fixed amount?

A3: An arithmetic sequence involves numbers increasing or decreasing by a fixed amount.

Q4: Why are mental math techniques important for performing arithmetic calculations quickly?

A4: Mental math techniques allow for faster and more efficient calculations without needing paper or a calculator.

Q5: Explain the significance of digit sums in identifying divisible numbers.

A5: Digit sums are useful in identifying divisibility by certain numbers. For instance, if the sum of the digits of a number is divisible by 9, the original number is also divisible by 9. This property allows for quick divisibility checks and simplifies arithmetic operations. For example, the digit sum of 234 is 2 + 3 + 4 = 9, which is divisible by 9, so 234 is also divisible by 9.

Q6: How can you use the concept of digit sums to check if a number is divisible by 9?

A6: If the digit sum of a number is divisible by 9, the original number is also divisible by 9.

Q7: What mathematical concept explains the symmetry seen in palindromic numbers?

A7: Symmetry in palindromic numbers is explained by their property of being the same forwards and backwards.

Q8: Are there any online resources or tools available for practicing “Number play” case study questions?

A8: We provide case study questions for CBSE Class 6 Maths on our  website . Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.

Related Posts

Patterns in mathematics class 6 case study questions maths chapter 1, lines and angles class 6 case study questions maths chapter 2.

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Case Study Questions for Class 6 Maths Chapter 1 Knowing Our Numbers

• Last modified on: 1 year ago
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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 1 Chapter 1 Knowing Our Numbers.

Knowing Our Numbers Case Study Questions

Case Study Question 1:

The population of Delhi in 2017 was 19072564 and it increased to 25704625 in 2021.

(i) Write the population of 2021 in words. (a) two crore fifty seven lakh four thousand six hundred twenty five (b) twenty five lakh seventy thousand six hundred twenty five (c) two hundred fifty seven thousand four hundred twenty five. (d) twenty five crore seventy lakh forty six thousand and twenty five.

(ii) The successor of 19072564 is. (a) 19072563 (b) 19072565 (c) 29072564 (d) 19072574

(iii) What is the place value of ‘ 7 ‘ in 19072564 (a) 7 (b) 70000 (c) 7000 (d) 700

(iv) Write the population of 2017 in words according to International system of numeration.

(v) Write the population of 2021 in expanded form.

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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