NCERT Solutions for Class 4 Maths Chapter 10


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NCERT Solutions for Class 4 Maths Chapter 10 Play With Patterns

Glimpses of Class 4 Maths Chapter 10 – Play with Patterns

Class 4 Maths Chapter 10 – Play with Patterns, teaches us how to recognize growing and reducing patterns in pictures and numbers. You will also be able to identify the rule for growing and reducing patterns and extend the patterns using rules. 

We see patterns everywhere around us. They could be in our clothes that we wear or bed sheets or curtains in our homes or in the toys that we play, etc. So what is a pattern? Patterns are created when figures, shapes, objects, etc. are arranged in a particular order and repeated over and over again. We must have seen different kinds of patterns in our daily life. 

Let us look at the pattern below.

ΟΔ• ------ ΟΔ• ----- ΟΔ•

↑          ⎯⎯⎯⎯⎯⎯

This is a Pattern this is repeated.


Maths is full of patterns. We find patterns in alphabets, numbers, shapes, etc. 

For example: Let us see the Table of 2.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20,……. We are skipping each number by 2. 

Once you know the rule for a pattern you can continue the pattern. 


Growing and Reducing patterns

Picture Patterns: A picture can be made by increasing or decreasing the number of objects.

     

This is a growing pattern. The rule followed in the pattern is that the number of squares increases by 1 each time. 

In the next picture

     

This is a reducing pattern. The rule followed is that the number of circles decreases by 1 each time. 


Number Patterns: Increasing and decreasing patterns can be formed with numbers also.

Example: 1, 3, 5, 7, 9, ….. ? What will be the next number ?

This is a growing pattern. The rule followed is that the next number is obtained by adding 2 to the previous number. 

So, the next number is: 9 + 2 = 11.

Let us see the reducing pattern. 

Example: What is the next number in the pattern: 20, 18, 16, 14, …..?

This is a reducing pattern. The rule followed is that the next number is obtained by subtracting 2 from the previous number. 

So, the next number is: 14 – 2 = 12.


What is a Number Tower?

Number Tower is a fun puzzle for children where numbers are arranged in a tower. We start calculating from the below of the tower and get to the number at the top of the tower following the rule of pattern. 

48

20      28

8       12         16

Let us check how we arranged the numbers in the above tower. We start from the below and get this number pattern. Can you follow the rule of this pattern?

We added 2 numbers in the below boxes to get the number in the box above them.

We add 8 + 12 = 20; 12 + 16 = 28; 20 + 28 = 48


Same Sum Rule

In this rule, we get the same result each time when we add two numbers.

Example:  10 + 5 = 15

11 + 4 = 15

12 + 3 = 15

We can use the pattern in creating secret messages like coding and decoding. 

Say, we code a particular word with a pattern of numbers and then the word is decoded. This can be used when we have to send some secret message to someone. 


Conclusion

Recognizing patterns for coding and decoding is important for the development of Mathematical skills. With these basic rules and concepts of patterns now you can solve any kind of reasoning questions. You just need to observe the pattern very carefully and then decode it. 


FAQs (Frequently Asked Questions)

1. What do you understand by pattern?

Patterns are created when figures, shapes, objects, etc. are arranged in a particular order and repeated over and over again.

2. How does CoolGyan help score well in exams?

CoolGyan provides detailed study of concepts and facts for all subjects along with NCERT solutions for each subject. You can download these study materials in pdf format available on CoolGyan platform and study at your convenient time. CoolGyan also has a team of experts and experienced teachers and you can always connect with them to clarify your academic doubts. You can also register online for taking Class 4 Maths tuition classes on CoolGyan.org to score good marks for forthcoming exams. 

3. How does patterns in NCERT Maths for Class 4 help children?

Recognizing patterns help children to develop mathematical and analytical skills. This will create a foundation of analyzing things that will help them to solve much tougher Mathematical questions in the higher classes.

4. What are the advantages of NCERT Solutions in CoolGyan?

CoolGyan has subject matter experts from CBSE background who are proficient in solving the problems as per the guidelines from the board. After an extensive research, our experienced teachers and subject experts have formulated the most accurate and appropriated NCERT solutions as per the guidelines of the Board syllabus. That is why when it comes to the quality then you can be rest assured. All the fourteen chapters in NCERT Maths for Class 4 are designed in such a way that children can strengthen their conceptual foundation and have immense confidence during the exams. 

5. Is Chapter 10 in Class 4 Maths important?

All chapters that are a part of your syllabus hold equal importance when preparing for your Class 4 Maths exam. Although, Chapter 10 - Play with Patterns is specifically essential to help students understand the concept of patterns formed by repetitions. This chapter is important to help build a student's base in applying logical reasoning to solve various problems. Identifying patterns is also helpful for students later as they appear for any competitive exams involving logical reasoning questions.

6. Where can I find accurate solutions for NCERT Questions in Chapter 10 of Class 4 Maths?

When preparing for any subject, it is important that students are provided with the study material that gives them accurate information which can help them score well. CoolGyan is one of the best places when looking for accurate and well-explained answers for easily understanding and solving questions provided in Class 4 Maths. Students can easily download NCERT Solutions for Chapter 10 Class 4 Maths for free from CoolGyan(CoolGyan.org), and also from the CoolGyan app.

7. What is Chapter 10 in Class 4 Maths about?

Chapter 10 in Class 4 Maths is called “Play with Patterns”, and as the name suggests, this chapter is meant to help students understand various patterns that are formed by repetitive pictures, geometric figures, numbers, or alphabets. Students shall be able to solve various questions in the chapter by recognizing the growth or reduction experienced by the patterns. You can mind more about the chapter through NCERT Solutions for Class 4 Maths Chapter 10 Play With Patterns -FREE PDF. 

8. How many questions have been covered in the NCERT Solutions for Chapter 10 in Class 4 Maths?

The chapter “Play with Patterns” covers a total of 21 questions that are provided in the Class 4 Maths NCERT. These include various types of questions that require students to do the following:

  • Create new patterns using particular shapes

  • Evaluate incomplete patterns made using pictures, alphabets, or numbers, and complete them

  • Make new patterns with numbers, and alphabets

  • Creating patterns based on different conditions using numbers and alphabets.

9. Give an example from Chapter 10 in Class 4 Maths.

Students can find various examples based on Chapter 10 in Class 4 Maths available in NCERT Solutions for Class 4 Maths Chapter 10 Play With Patterns -FREE PDF. One such example of an increasing pattern can be:

Questions: 1, 3, 5, 7, 9, ….. ? What will be the next number?

Answer:

Since this is a growing pattern, the rule to complete this pattern is that the next number is obtained by adding 2 to the previous number. 

So, the next number would be 9 + 2 = 11.