NCERT Solutions Class 6 Maths Chapter 3 Number Play Exercise 3.4

Exercise 3.4 of Chapter 3 - Playing with Numbers helps you learn to find the Highest Common Factor (HCF) from two or more numbers. You will learn how to find common factors and select the largest factor using methods such as listing or prime factorisation and this information will be very useful in many of the topics in maths you will be studying later on.

These exercises are consistent with the latest NCERT syllabus and follow the CBSE Class 6 guidelines. You will need to practice these exercises in order for you to learn how to use numbers better.

You can download free NCERT Solutions for Exercise 3.4 in a PDF format on this page. These solutions provide a step by step process so you can do the questions and check the answers easily. 

1.0Download NCERT Solutions Class 6 Maths Chapter 3 Number Play Exercise 3.4: Free PDF

Exercise 3.4 of the NCERT Solutions for Class 6 Maths Chapter 3 provides clear and accurate answers to the questions involving HCF. The solutions are based on the latest NCERT syllabus and will help you prepare effectively for your exams. Click below to download thefree NCERT Solutions PDF:

2.0NCERT Solutions Class 6 Chapter 3 Number Play: All Exercises

3.0NCERT Class 6 Maths Chapter 3 Number Play Exercise 3.4: Detailed Solutions

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 number whose digit sum is 14 ?

d. How big a number can you form having the digit sum 14? Can you make an even bigger number?

Sol.

a. Some numbers whose digits add up to 14 are:

59, 77, 86, 95, 149, 158, 167, 185, 194, 239, 248, 257, 266, 275, 284, 293, 329,

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.

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

Sol. Digit Sums from 40 to 70:

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?

Sol.

Yes, we observe a Pattern.

i.e., (First digit +1 ) ×3= Digit sum.

For number 123,

(1+1)×3=6= Digit sum

4.0Key Features and benefits for Class 6 Maths Chapter 3 Exercise 3.4

• The exercise has questions about finding the Highest Common Factor (HCF) of given numbers.
• Methods like listing and prime factorisation are used to solve HCF questions in a simple and clear way.
• When you practice NCERT solutions, you improve your speed and accuracy for questions related to HCF.
• These solutions develop your understanding for competitive exams such as the maths Olympiad.
• By practicing regular revision, you will be able to perform better in your CBSE school test and more advanced maths topics.