NCERT Solutions for Class 6 Maths Chapter 3 Number Play Ex 3.4

Chapter 3 Number Play Exercise 3.4

NCERT Solutions for Class 6 Excercise 3.4 Maths FREE PDF Download

Chapter 3 Number Play of Class 6 Maths, students continue their exploration of number properties through Exercise 3.4. This exercise focuses on finding the divisibility of numbers and understanding how these rules help in simplifying complex calculations. The NCERT Solutions for Exercise 3.4 provide detailed explanations and step-by-step methods to ensure students understand the core concepts easily. Vedantu's solutions make learning enjoyable while also helping students improve their performance in Maths.

Table of Content

1. Access NCERT Solutions for Class 6 Maths Ex 3.4 Number Play

2. Class 6 Maths Chapter 3: Exercises Breakdown

3. Benefits of NCERT Solutions for Class 6 Maths Ex 3.4

4. Important Study Material Links for Maths Chapter 3 Class 6

5. Chapter-wise NCERT Solutions Class 6 Maths

6. Related Important Links for Class 6 Maths

FAQs

Our Class 6 Maths NCERT Solutions PDF breaks the lesson into easy-to-understand explanations, making learning fun and interactive. Students will develop essential language skills with engaging activities and exercises. Check out the revised CBSE Class 6 Maths Syllabus and start practising the Maths Class 6 Chapter 3.

Glance on Class 6 Number Play Ex 3.4 Number Play

Understanding divisibility rules for different numbers.
Applying divisibility rules to simplify calculations.
Solving problems based on divisibility.
Learning how divisibility helps in factorisation.
Using examples to strengthen understanding of divisibility.

Access NCERT Solutions for Class 6 Maths Ex 3.4 Number Play

Question 1. Digit sum 14
(a) Write other numbers whose digits add up to 14.
(b) What is the smallest number whose digit sum is 14?
(c) What is the largest 5-digit whose digit sum is 14?
(b) How big a number can you form having the digit sum 14? Can you make an even bigger number?
Solution:
(a) Some numbers whose digits add up to 14 are: 59, 68, 77, 86, 95, 149, 158, 167, 176, 185, 194, 239, 248, 257, 266, 275, 281, 293

(b) The smallest number whose digit sum is 14 = 59.

(c) The largest 5 digit number containing 0 whose digit sum is 14 = 95,000.
The largest 5 digit number not containing 0 whose digit sum is 14 = 92,111.

(d) A very big number having the digit sum 14 can be made. e.g. 95000000000000.
Yes, we can make even bigger number e.g. 9500000000000000000000.

Question 2. Find out the digit sums of all the numbers from 40 to 70. Share your observations with the class.
Solution:

Number	Digit Sum
40	4
41	5
42	6
43	7
44	8
45	9
46	10
47	11
48	12
49	13
50	5
51	6
52	7
53	8
54	9
55	10
56	11
57	12
58	13
59	14
60	06
61	1
62	8
63	9
64	10
65	11
66	12
67	13
68	14
69	15
70	7

Question 3. Calculate the digit sums of 3-digit numbers whose digits are consecutive (for example, 345). Do you see a pattern? Will this pattern continue?
Solution:

Number	123	234	345	456	567	678	789
Sum of Digits	6	9	12	15	18	21	24

If we take numbers in reverse order, sum of digits will remain same.
Yes, we observe a pattern.
i. e. (first number + 1) × 3 = digit sum.

Class 6 Maths Chapter 3: Exercises Breakdown

Exercise	Topic
Exercise 3.1	Numbers Can Tell Us Things
Exercise 3.2	Supercells
Exercise 3.3	Patterns of Numbers on the Number Line
Exercise 3.5	Pretty Palindromic Patterns
Exercise 3.6	The Magic Number of Kaprekar
Exercise 3.7	Clock and Calendar Numbers
Exercise 3.8	Mental Math
Exercise 3.9	Playing with Number Patterns
Exercise 3.10	An Unsolved Mystery — the Collatz Conjecture!
Exercise 3.11	Simple Estimation
Exercise 3.12	Games and Winning Strategies

Benefits of NCERT Solutions for Class 6 Maths Ex 3.4

Helps in mastering divisibility rules, which are helpful in problem-solving.
Enhances understanding of number properties, making it easier to factorise numbers.
Prepares students for advanced concepts in higher classes.
Builds a strong foundation in mathematics by improving calculation speed and accuracy.
Simplifies the process of solving complex arithmetic problems.

Important Study Material Links for Maths Chapter 3 Class 6

S.No.	Important Study Material Links for Chapter 3
1.	Class 6 Number Play Important Questions
2.	Class 6 Number Play Notes

Conclusion

Chapter 3 Number Play in Class 6 Maths emphasises the importance of divisibility rules in simplifying mathematical calculations. The NCERT Solutions for Exercise 3.4 offer clear guidance and help students build a solid foundation in understanding divisibility. By practising these solutions, students can enhance their problem-solving skills and perform better in exams. Vedantu’s resources provide step-by-step explanations to ensure students grasp the concepts easily.

Chapter-wise NCERT Solutions Class 6 Maths

After familiarising yourself with the Class 6 Maths Chapters Question Answers, you can access comprehensive NCERT Solutions from all Class 6 Maths textbook chapters.

S. No	NCERT Solutions Class 6 Chapter-wise Maths PDF
1.	Chapter 1 - Patterns in Mathematics Solutions
2.	Chapter 2 - Lines and Angles Solutions
3.	Chapter 3 - Number Play Solutions
4.	Chapter 4 - Data Handling and Presentation Solutions
5.	Chapter 5 - Prime Time Solutions
6.	Chapter 6 - Perimeter and Area Solutions
7.	Chapter 7 - Fractions Solutions
8.	Chapter 8 - Playing with Constructions Solutions
9.	Chapter 9 - Symmetry Solutions
10.	Chapter 10 - The Other Side of Zero Solutions

FAQs on NCERT Solutions for Class 6 Maths Chapter 3 Number Play Ex 3.4

1. What is the main concept of NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.4?

It focuses on divisibility rules and their application in solving problems.

2. How do NCERT Solutions for Chapter 3 Exercise 3.4 help students?

They provide clear explanations for divisibility rules, making problem-solving easier.

3. What are divisibility rules, as explained in Chapter 3 Number Play?

Divisibility rules are guidelines to determine if one number is divisible by another without performing division.

4. How do divisibility rules help in calculations, as per Chapter 3?

They simplify calculations by eliminating the need for actual division.

5. Why is learning divisibility important in Class 6 Chapter 3 Number Play?

Understanding divisibility helps solve problems related to factors, multiples, and division.

6. How does Vedantu’s NCERT Solutions for Chapter 3 assist students?

Vedantu’s solutions offer step-by-step guidance, helping students understand and apply divisibility rules effectively.

7. What problems are covered in Exercise 3.4 of Chapter 3 Number Play?

The exercise includes questions related to the application of divisibility rules.

8. How do Vedantu’s NCERT Solutions help in preparing for exams?

Vedantu’s solutions provide detailed explanations and practice exercises, helping in better preparation.

9. What are the divisibility rules for 2, 3, and 5 in Chapter 3 of Class 6 Maths?

A number is divisible by 2 if it is even, by 3 if the sum of its digits is divisible by 3, and by 5 if its last digit is 0 or 5.

10. Are Vedantu’s NCERT Solutions for Class 6 Maths Chapter 3 available for FREE?

Yes, Vedantu provides FREE access to the NCERT Solutions for Chapter 3 including Exercise 3.4.