NCERT Solutions for Class 6 Maths 3.5 Exercise Chapter 3 Number Play - FREE PDF Download
The NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.5, "Number Play," are aligned with the CBSE Class 6 Maths Syllabus, providing students with essential practice and understanding of number patterns and sequences. These solutions offer clear explanations and step-by-step guidance, helping students grasp fundamental concepts and build a strong foundation in number theory.
- 3.1Exercise 3.5
Class 6 Maths NCERT Solutions are available as a FREE PDF download, making it easy for students to improve their problem-solving skills and prepare effectively for exams. These solutions include useful shortcuts and tips, making studying engaging and exam preparation more effective. With these resources, students can practice basic number skills, making learning more engaging and preparing them for more advanced maths topics.
Glance on NCERT Solutions Maths Chapter 3 Exercise 3.5 Class 6 | Vedantu
This exercise focuses on understanding palindromic patterns and sequences in numbers.
It covers concepts such as identifying and creating palindromic patterns and recognizing symmetry in numbers.
Step-by-step examples illustrate how to form and identify palindromic sequences.
Various practice problems are included to help students practice creating and analysing these patterns.
Key skills developed include pattern recognition and understanding number symmetry.
Clear, step-by-step solutions are provided to help students check their work and understand the process.
Exercise 3.5
1. What pattern do you see in these numbers: 66, 848, 575, 797, 1111?
These numbers read the same from left to right and from right to left.
Ans: The pattern in these numbers is that they are palindromes. A palindromic number reads the same from left to right as it does from right to left.
For example:
66 reads the same forward and backward.
848 is the same when reversed.
575 is identical when read from either direction.
797 reads the same both ways.
1111 is the same forwards and backwards.
2. Write all possible 3-digit palindromes using these digits.
Ans: Using the digits 1, 2, and 3, the possible 3-digit palindromes are:
111
121
131
222
232
333
3. Will reversing and adding numbers repeatedly, starting with a 2-digit number, always give a palindrome? Explore and find out.
Ans: Choose a 2-digit number (e.g., 47).
Reverse the digits of the number (e.g., 47 becomes 74).
Add the original number and the reversed number (e.g., 47 + 74 = 121).
Check if the result is a palindrome (e.g., 121 is a palindrome).
If not a palindrome, repeat the process with the new number (e.g., for 121, reversing it gives 121, and 121 + 121 = 242, which is a palindrome).
Exploration Examples:
Number: 23
Reverse: 32
Add: 23 + 32 = 55 (Palindrome)
Number: 56
Reverse: 65
Add: 56 + 65 = 121 (Palindrome)
Number: 87
Reverse: 78
Add: 87 + 78 = 165
Reverse: 561
Add: 165 + 561 = 726 (Palindrome)
Reversing and adding numbers does not always immediately give a palindrome, but with repeated steps, it often leads to one. This process is a fun way to see how numbers can transform into palindromes over time!
Puzzle time
I am a 5-digit palindrome.
I am an odd number.
My ‘t’ digit is double of my ‘u’ digit.
My ‘h’ digit is double of my ‘t’ digit.
Who am I? _________________
Ans: Form of the Palindrome: The number is in the format tth, th, h, t and u are digits.
1. Odd Number: The last digit (u) must be odd, so possible values for u are 1, 3, 5, 7, or 9.
2. Constraints:
t = 2u (The ‘t’ digit is double the ‘u’ digit)
h = 2t (The ‘h’ digit is double the ‘t’ digit)
3. Testing Values:
If u = 1:
t = 2 * 1 = 2
h = 2 * 2 = 4
The number is 22422, which is a valid palindrome and fits all constraints.
If u = 3:
t = 2 * 3 = 6
h = 2 * 6 = 12 (Not valid because h must be a single digit.)
If u = 5:
t = 2 * 5 = 10 (Not valid because t must be a single digit.)
If u = 7:
t = 2 * 7 = 14 (Not valid because t must be a single digit.)
If u = 9:
t = 2 * 9 = 18 (Not valid because t must be a single digit.)
The only valid 5-digit palindrome is 22422.
Class 6 Maths Chapter 3: Exercises Breakdown
Benefits of NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.5 Number Play
They provide detailed explanations and step-by-step solutions, helping students grasp complex concepts easily.
They offer a variety of practice problems to reinforce understanding and application of number patterns and sequences.
They ensure alignment with the CBSE Class 6 Maths syllabus, covering all required topics effectively.
They help in developing critical thinking and problem-solving skills by working through palindromic patterns and sequences.
They allow students to check their answers and understand the correct methods, improving their learning and confidence.
They are available as a free PDF download, making it easy for students to access and use for study and revision anytime, anywhere.
Important Study Material Links for Class 6 Maths Chapter 3 - Number Play
Conclusion
NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.5 "Number Play" is a great help for students. They provide clear and easy-to-follow explanations for solving problems related to number patterns and sequences. By working through these exercises, students can improve their understanding of palindromes and other number concepts in line with the CBSE syllabus. These solutions make it easier for students to practice and get better at problem-solving, which improves their confidence. The solutions are available as a free PDF download, making it convenient for students to study and revise whenever they need to.
Chapter-Specific NCERT Solutions for Class 6 Maths
Given below are the chapter-wise NCERT Solutions for Class 6 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
Related Important Links for Maths Class 6
Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6.
FAQs on NCERT Solutions for Class 6 Maths Chapter 3 Number Play Ex 3.5
1. What is the focus of Exercise 3.5 in Chapter 3 of Class 6 Maths?
Exercise 3.5 focuses on number patterns, specifically palindromic numbers, and understanding how these patterns work.
2. How can NCERT Solutions help with Exercise 3.5?
NCERT Solutions provide step-by-step explanations and solutions to help students understand and solve problems related to number patterns and sequences.
3. Are the solutions for Exercise 3.5 aligned with the latest CBSE syllabus?
Yes, the solutions are aligned with the latest CBSE syllabus for Class 6 Maths, ensuring they cover all relevant topics.
4. Can these solutions help in preparing for exams?
Yes, practising these solutions can help students get familiar with the types of problems they might encounter in exams and improve their problem-solving skills.
5. Is there a free PDF available for the NCERT Solutions for this exercise?
Yes, the solutions are available as a free PDF download, which can be accessed easily for study and revision.
6. How can I use the solutions to better understand palindromic numbers?
The solutions include clear explanations and examples of palindromic numbers, helping students understand how these numbers read the same forwards and backwards.
7. Are there any practice problems included in the solutions?
Yes, the solutions provide practice problems along with their answers to help reinforce understanding and application of the concepts.
8. How can I access the NCERT Solutions for Exercise 3.5?
The solutions can be accessed online through educational websites that offer NCERT materials or downloaded as a free PDF from these sites.
9. Do the solutions cover all questions from Exercise 3.5?
Yes, the NCERT Solutions cover all questions from Exercise 3.5, providing detailed answers and explanations for each one.
10. How can I improve my understanding of number patterns using these solutions?
By studying the solutions, practising the problems, and reviewing the explanations, students can develop a better grasp of number patterns and improve their overall understanding.
