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NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7 Number Play

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NCERT Solutions for Class 6 Exercise 3.7 Maths FREE PDF Download

Class 6 Maths Chapter 3 students explore exciting patterns and sequences through different exercises, it focuses on enhancing logical thinking by identifying and creating patterns. The chapter 3 helps students understand how patterns can be formed, recognized, and continued based on specific rules. These exercises are vital in laying the foundation for mathematical reasoning, developing a sense of logic, and preparing students for advanced mathematical concepts. Exercise 3.7 explains Clock and Calendar Numbers, which is useful in recognising time formats.

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Table of Content
1. NCERT Solutions for Class 6 Exercise 3.7 Maths FREE PDF Download
2. Glance on Class 6 Maths Chapter 3 Number Play Exercise 3.7
3. Access NCERT Solutions for Class 6 Maths Chapter 3 Number Play
    3.1Exercise 3.7 
4. Benefits of NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7
5. Class 6 Maths Chapter 3: Exercises Breakdown
6. Important Study Material Links for Maths Chapter 3 Class 6
7. Conclusion 
8. Chapter-wise NCERT Solutions Class 6 Maths
9. 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 Maths Chapter 3 Number Play Exercise 3.7

  • Numbers on a clock follow a cyclic pattern, where after 12 (or 24 for a 24-hour clock), the next number resets back to 1.

  • Understanding how to add, subtract, and perform other operations with numbers in a cyclic manner.

  • Days, months, and years also follow a cyclic pattern.

  • Calculating the number of days between two dates or determining the day of the week based on a specific date.

Access NCERT Solutions for Class 6 Maths Chapter 3 Number Play

Exercise 3.7 

1. Try and find out all possible times on a 12-hour clock of each of these types.

Answer :This is asking you to explore the possible arrangements of digits on a 12-hour clock where the digits repeat in a specific order (such as 2, 0, 1, and 2 in the given example). You can experiment with different combinations to match this arrangement.


2. Manish has his birthday on 20/12/2012 where the digits '2', '0', '1', and '2' repeat in that order.

Answer: Manish’s birthday forms a unique pattern where the digits repeat in the specific order of '2', '0', '1', and '2'. This repetition of digits can be used to find more such dates by identifying other years with similar repeating digits.


3. Find some other dates of this form from the past.

Answer: You can find other dates where the digits repeat in a specific pattern such as:

  • 10/02/2001

  • 21/02/2012

  • 01/02/2010 Experimenting with other years could give more such examples.


4. His sister Meghana has her birthday on 11/02/2011 where the digits read the same from left to right and right to left.

Answer: This is a palindromic date where the digits form the same pattern when read forward and backward (11/02/2011). Other examples of such palindromic dates could include:

  • 10/01/2001

  • 21/02/2012

  • 12/11/2112


5. Find all possible dates of this form from the past.

Answer: Possible palindromic dates could be:

  • 01/02/2010

  • 21/02/2012

  • 02/02/2020

  • 11/11/2011


6. Jeevan was looking at this year's calendar. He started wondering, "Why should we change the calendar every year? Can we not reuse a calendar?"

Answer: Calendars repeat after a specific number of years. A calendar can be reused when the days of the week align again with the dates. This typically happens in cycles of 6, 11, or 28 years, depending on whether leap years are involved.


7. Will any year's calendar repeat again after some years?

Answer: Yes, calendars do repeat after a certain number of years. For example, a common year will repeat every 6 or 11 years, while a leap year might repeat after 28 years.


8. Will all dates and days in a year match exactly with that of another year?

Answer: Not always immediately, but after a certain number of years (like 28 years for leap years), the calendar will exactly match the dates and days of a previous year.


Figure It Out

1. Pratibha uses the digits ‘4’, ‘7’, ‘3’, and ‘2’ and makes the smallest and largest 4-digit numbers with them: 2347 and 7432. The difference between these two numbers is 7432 - 2347 = 5085. The sum of these two numbers is 9779. Choose 4-digits to make:


a. The difference between the largest and smallest numbers greater than 5085.

Answer: The largest number that can be formed using the digits would be 7432, and the smallest would be 2347. The difference is 5085.


b. The difference between the largest and smallest numbers less than 5085.

Answer: If you consider numbers smaller than 5085, the difference would be between 3472 and 2347, resulting in 1125.


c. The sum of the largest and smallest numbers greater than 9779.

Answer: In this case, there are no numbers greater than 9779 using the same set of digits.


d. The sum of the largest and smallest numbers less than 9779.

Answer: The sum of the largest (7432) and smallest (2347) is 9779.


2. What is the sum of the smallest and largest 5-digit palindrome? What is their difference?

Answer: The smallest 5-digit palindrome is 10001, and the largest is 99999. The sum of these two numbers is 110000. The difference is 89998.


3. The time now is 10:01. How many minutes until the clock shows the next palindromic time? What about the one after that?

Answer: The next palindromic time after 10:01 is 11:11. The number of minutes between 10:01 and 11:11 is 70 minutes. The palindromic time after 11:11 would be 12:21, which is 70 minutes after 11:11.


4. How many rounds does the number 5683 take to reach the Kaprekar constant?

Answer: To reach the Kaprekar constant (6174), you would perform the subtraction process by rearranging the digits of 5683 from highest to lowest and lowest to highest. This process typically takes a few rounds, but since the exact steps aren't given here, you would follow the Kaprekar process iteratively until reaching 6174.


Benefits of NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7

  • Develops logical reasoning and problem-solving skills.

  • Enhances understanding of sequences and patterns in mathematics.

  • Prepares students for higher-level concepts like arithmetic progression.

  • Builds a strong foundation in number manipulation and recognition.

  • Encourages analytical thinking through pattern-based exercises.


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 3.4

Playing with Digits

Exercise 3.5

Pretty Palindromic Patterns

Exercise 3.6

The Magic Number of Kaprekar

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



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

3.

Class 6 Maths Number Play Worksheets



Conclusion 

Class 6 Maths Exercise 3.7 is a crucial part of the curriculum as it helps students sharpen their logical thinking through the exploration of patterns and sequences. By practising these exercises, students not only develop problem-solving skills but also learn to think critically. The understanding of patterns gained from this chapter will benefit students as they advance into more complex mathematical concepts in future classes.


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

Chapterwise Links for Class 6 Maths NCERT Solutions

1

Chapter 1 Patterns In Mathematics NCERT Solutions 

2

Chapter 2 Lines and Angles NCERT Solutions 

3

Chapter 3 Number Play NCERT Solutions 

4

Chapter 4 Data Handling and Presentation NCERT Solutions 

5

Chapter 5 Prime Time NCERT Solutions 

6

Chapter 6 Perimeter and Area NCERT Solutions 

7

Chapter 7 Fractions NCERT Solutions 

8

Chapter 8 Playing with Constructions NCERT Solutions 

9

Chapter 9 Symmetry NCERT Solutions 

10

Chapter 10 The Other Side of Zero NCERT Solutions 



Related Important Links for Class 6  Maths 

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 Exercise 3.7 Number Play

1. What is a clock number?

A clock number is a number system based on the 12-hour or 24-hour clock. The numbers are cyclic, meaning after reaching the highest number (12 or 24), they reset to 1.

2. How does the 12-hour clock system work?

In the 12-hour clock system, time is represented in hours from 1 to 12, and after 12, it resets back to 1. This cycle repeats twice in a day—once for AM (midnight to noon) and once for PM (noon to midnight).

3. How do you find the sum of clock numbers?

To find the sum of two clock numbers, you add them together and subtract 12 if the result exceeds 12, bringing the number back within the 1-12 range.

4. What is a calendar number?

A calendar number refers to days, months, or years in a calendar. For example, a month has 30 or 31 days (except February), and a year typically has 365 days.

5. How can you solve problems involving the number of days between two dates?

To solve problems involving the number of days between two dates, count the days in each month between the two dates, accounting for whether the year is a leap year (February has 29 days) or a common year (February has 28 days).

6. What is meant by the term "number pattern" in Chapter 3: Number Play?

A number pattern is a sequence of numbers that follow a specific rule or formula. For example, 2, 4, 6, 8 is a pattern where each number increases by 2.

7. How are odd and even numbers explained in NCERT Solutions for Class 6 Maths, Chapter 3: Number Play?

Even numbers are divisible by 2, while odd numbers are not divisible by 2. Examples include 2, 4, 6 (even) and 1, 3, 5 (odd).

8. What are prime numbers in Chapter 3: Number Play?

Prime numbers are numbers that have exactly two factors – 1 and the number itself. Examples include 2, 3, 5, and 7.

9. What are composite numbers as explained in NCERT Solutions for Class 6 Maths, Chapter 3: Number Play?

Composite numbers have more than two factors. For example, 4, 6, 8, and 9 are composite numbers because they can be divided by numbers other than 1 and themselves.

10. What is the difference between a factor and a multiple in Chapter 3: Number Play?

A factor divides a number exactly without leaving a remainder, while a multiple is the product of a number and any other whole number.