# NCERT Solutions Class 4 Maths Chapter 10

## NCERT solutions for Class 4 Mathematics Chapter 10 – Play with Patterns.

NCERT solutions for Class 4 Mathematics Chapter 10 – Play with Patterns helps students understand the concept of patterns formed by repetition. Play with Patterns teaches students to identify the rule for increasing and decreasing patterns in numbers and pictures and extend the pattern using rules. This chapter helps build a student’s foundation in applying analytical reasoning to solve various problems. Identifying patterns will help students develop their analytical skills, and it is helpful as they appear for competitive exams later.

NCERT solutions for Class 4 Mathematics Chapter 10 – Play with Patterns is helpful. Subject matter experts provide the solutions to all exercise questions given here to help students prepare better for their examinations. In addition, students may refer to chapter-wise NCERT notes, which will be very useful for understanding the subject and its chapter in a reasonable manner. All the study materials are prepared efficiently and better to help students understand the topics well. NCERT solutions for Class 4 Mathematics Chapter 10 – Play with Patterns, if practised well, can help students get  good marks in exams.

Key Topics Covered in NCERT Solutions for Class 4 Mathematics Chapter 10 – Play with Patterns

Patterns

Tinu has used a block pattern to make a sari. He has used the same design to make three different patterns. Another three designs that students can make with the same block are below:

Pattern 1:

Pattern 2:

Pattern 3:

Students can also make many such designs using the NCERT Solutions For Class 4 Maths Chapter 10 provided by Extramarks.Similarly, students can also look at the following design patterns.

1. In the first design, each leaf is rotated by 90 degrees as it moves forward and joins to the previous one until the same pattern as the first is achieved, and the pattern continues.
2. In the second pattern, the first row 1 column contains two sticks with an upward arrow, and the second row 2 column contains two sticks with a downward arrow. The pattern continues with an increase of one stick with one upward and one downward pattern, respectively. As a result, this pattern keeps repeating.
3. In the third pattern, as it progresses, we notice that the circle is rotated by 90 degrees each time. As a result, this pattern keeps repeating.

1. In the first pattern, the alphabet of the English language is written. The alphabets are written in a pair of three alphabets in one in this pattern. As a result, this pattern continues, with the next alphabets in order.
2. In the second pattern, the counting and the alphabet are reversed as one progresses through it. As a result, the design is thus created in the backwards order, starting from 28Z.
3. In the third pattern, the next triangle is filled with a number calculated by subtracting 100 from the preceding one. As a result, the pattern continues as 100 less than the preceding number.
4. In the fourth pattern, the upcoming shape is filled with a number produced by adding 100 to the previous one. As a result, this pattern keeps repeating with each number greater than 100 than the last number.

No Number Comes Twice

Looking at the box below, students can easily observe that a certain pattern is being followed. According to the design, in any of the given three lines, any number does not repeat.

The solution to the above pattern may vary from student to student.

Magic Patterns

In the above pattern, students can notice the magic. Each line in the design adds up to the number 12. Using this as a reference, students can also try out a different combination of numbers to ensure that each line of the magic pattern adds up to 12.

Magic Triangle

Similar to the previous magic pattern, this pattern represents a magic triangle.

Students can notice that each side of this magic triangle adds up to the number 9. Using this as a reference, students can make their magic triangles with the sides matching other numbers. For example, you can try to match each side of the magic triangle to get the sum of 10. They can use numbers from one to six for this exercise.

Number Towers

The above image depicts a number tower. It does not represent any random number order. If one observes closely, a pattern is being followed here. For a detailed explanation, look at the description below:

Figure A                                                                                                    Figure B

The figures given above represent three highlighted cells. In figure A and B, the two numbers in the row below add up to the number in the box above them.

Using it as a reference, students can make their number towers, where the two numbers add to make up the number above them.

The Same Sum Rule

A group of friends have come together to play the same sum game. There is a pattern that is being followed here. If we look closely, there will be two numbers that, when added similarly, give the same number.

The pattern goes as follows; we get the same sum when we add numbers in the order of; one from the left and one from the right. For example, if we add the first number from the left and the first number from the right, we get the sum of 27; similarly, if we add the second number from the left to the second number from the right, we also get the same sum, that is 27.

The NCERT Solutions For Class 4 Maths Chapter 10 also contains other patterns with addition. Students can access the resource from the NCERT website to access the resource and start learning.

When the numbers are added, it can be observed in the image above that the sum of each line forms a pattern. The sum of each line grows by a particular number. In the first part of the image, the sum of each line increases by 3 (6, 9, 12). In contrast, in the second part of the image, the sum grows by 4 (10,14,18).

Students can use this as a reference to make their own pattern with the addition.

Secret Messages

The above image hides a secret message. Understanding the hidden meaning, one can understand what the message is trying to tell. The secret lies in no magic, but students must figure out a hidden pattern.

Each number represents the alphabet. For example, J is 10, as J is the tenth number in the alphabet.

Similarly, P is 16, as it is the sixteenth letter of the alphabet.

 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

Following the same rule and taking the help of the table above, the secret message in the image would read, Good night.

The Extramarks NCERT Solutions For Class 4 Maths Chapter 10 also has other patterns in which secret messages can be drafted and uncoded. Students can access them from the NCERT website and learn more about such secret messages.

More Secret Messages

In the above image, two friends are playing a game. Like solving the secret message involves a special pattern, friends also have a specific pattern for their messages. Here the letters are changed with the next letter. For example, in the place of ‘F’, the letter ‘G’ is written. Similarly, in the place of ‘N’, the next letter, ‘O’, is written. Following this rule, YES becomes ZFT. Using the below table, students can easily understand the message in the table:

 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z B C D E F G H I J K L M N O P Q R S T U V W X Y Z A

The message of ‘XF BSF GSJFOE T’ translates to We Are Friends.

Upside Down

In the image below, a girl shows her friend that she can stand on her head in an upside-down position.

We can make an upside-down pattern with a card following the same reference.

Figure 1                        Figure 2

Figure 1 represents a straight pattern of 7 spade cards, whereas figure 2 depicts an upside-down design of the same card.

All the concepts of Patterns are provided in the NCERT Solutions For Class 4 Maths Chapter 10 in great detail.

NCERT Solutions for Class 4 Mathematics Chapter 10 Exercises & Answer Solutions

To go through our excellent content prepared by our Extramarks teachers based on the NCERT syllabus of Class 4, students need to register on our website and peruse the solutions notes and all other aids from our Extramarks website.

Students may click on the below links to answer exercise-specific questions and solutions for NCERT Solutions for Class 4 Mathematics Chapter 10: Play with Patterns.

Apart from NCERT solutions for Class 4 Mathematics Chapter 10, students can access solutions for different classes and subjects.

• NCERT solutions class 1
• NCERT solutions class 2
• NCERT solutions class 3
• NCERT solutions Class 4
• NCERT solutions class 5
• NCERT solutions class 6
• NCERT solutions class 7
• NCERT solutions class 8
• NCERT solutions class 9
• NCERT solutions class 10
• NCERT solutions class 11
• NCERT solutions class 12

Key Features of NCERT Solutions for Class 4 Mathematics Chapter 10 – Play with Patterns

• NCERT solutions for Class 4 Mathematics Chapter 10 consists of solved questions that are useful for students to understand each concept.
• A subject matter expert prepares the questions with respect to the latest CBSE syllabus.
•  These solutions help build a student’s base in applying logical reasoning to solve various problems.
• Solving these solutions for all the exercise questions will boost the students’ confidence and help them during their exams.
1. How do these NCERT solutions for Class 4 Mathematics Chapter 10 help to score well in exams?

The subject matter expert prepares the questions and solutions to understand each concept, a detailed study of these concepts will help students score well in exams.

2. Is Class 4 Mathematics Chapter 10 important?

All chapters are important from the exam point of view, though Chapter 10, Play with Patterns, is vital as it helps students understand the basics and practice very well. With so much practice, there is a very high recall value of the chapter concept of patterns. Studying this chapter helps build a student’s foundation and helps them apply analytical reasoning to solve various problems. Recognising patterns will help students develop their analytical skills, and it is helpful as they appear for competitive exams later.

3. What questions are covered in NCERT Solutions for Class 4 Mathematics Chapter 10?

There are different types of questions covered in NCERT Solutions for Class 4 Mathematics Chapter 10 – Play with Patterns. It covers

• Forming new patterns using a particular shape.
• Create new patterns with numbers and the alphabet.
• Assess incomplete patterns made using numbers, pictures or the alphabet and complete them.
• Create new patterns with the alphabet, numbers, or any design