Last Updated on December 14, 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.
| Chapter | Number play |
| Type of Questions | Case Study Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 6 |
| Subject | Maths |
| Useful for | Class 6 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 6 Maths Chapterwise Case Study |
Case Study Questions on Number play
Questions
Passage 1:
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
Difficulty Level: Easy
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.
Difficulty Level: Medium
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
- Supercells
- 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.
