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NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns

Here we have provided NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns for the ease of students so that they can prepare well.
authorImageAnanya Gupta14 Sept, 2024
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NCERT Solutions for Class 4 Maths Chapter 10

NCERT Solutions for Class 4 Maths Chapter 10: NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns helps students to learn various patterns found in numbers, shapes, and designs. This chapter encourages students to identify and create patterns, promoting their logical and creative thinking skills.

The exercise contains questions that guide students in recognizing these patterns and our NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns provide simple and clear explanations to help students easily grasp the concepts. By using these solutions students can improve their understanding of patterns and enjoy the process of learning through play.

NCERT Solutions for Class 4 Maths

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns Overview

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns are prepared by subject experts of Physics Wallah to ensure that students grasp the fundamental concepts of patterns in numbers, shapes, and designs. This chapter introduces young learners to the world of patterns, encouraging them to recognize, create, and extend patterns in an engaging way. The solutions provide clear and easy-to-follow explanations for all exercises making it easier for students to understand and apply the concepts. With these solutions students can enhance their logical thinking and creativity while mastering the topic of patterns.

CBSE Class 4 Maths Syllabus

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns PDF

The solutions for NCERT Class 4 Maths Chapter 10 Play with Patterns are designed to make understanding patterns easy and enjoyable for students. Students can use these solutions to improve their understanding of patterns in numbers, shapes, and designs. The complete solutions are available in PDF format. You can download the PDF using the link provided below.

NCERT Solutions for Class 4 Maths Chapter 10 PDF

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns

Here we have provided NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns-

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns Page No: 109

Question: 1

We can also make patterns with numbers and letters. Below are a few examples. Can you take them forward?

NCERT Solutions Mathematics Class 4 Chapter 10 - 1

Answer:

NCERT Solutions Mathematics Class 4 Chapter 10 - 2

Question: 2

Now write your own number patterns.

NCERT Solutions Mathematics Class 4 Chapter 10 - 3

Answer:

NCERT Solutions Mathematics Class 4 Chapter 10 - 4

Question: 3

Make a pattern without numbers.

NCERT Solutions Mathematics Class 4 Chapter 10 - 5

Answer: A pattern without numbers is given below:

NCERT Solutions Mathematics Class 4 Chapter 10 - 6

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns Page No: 110

No Number Comes Twice

Look at the number box. Can you see a pattern?

NCERT Solutions Mathematics Class 4 Chapter 10 - 7

Question: 4

Now, you try writing the letters – A, B, and C in the box so that no letter comes twice in any line.

NCERT Solutions Mathematics Class 4 Chapter 10 - 8

Answer:

NCERT Solutions Mathematics Class 4 Chapter 10 - 9

NCERT Books for Class 4 Maths 2024-25

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns Page No: 111

Magic Patterns

Question: 5

Now you fill these stars. Use numbers 1 – 9 and the rule that the numbers on each line add up to 15.

NCERT Solutions Mathematics Class 4 Chapter 10 - 10

Answer: In the figure given below, the numbers are filled in the stars from 1 to 9, which adds up to 15 in each line.

NCERT Solutions Mathematics Class 4 Chapter 10 - 11

Magic Triangles

Look at this number pattern.

Rule: Numbers on each side of the triangle add up to 9.

NCERT Solutions Mathematics Class 4 Chapter 10 - 12 NCERT Solutions Mathematics Class 4 Chapter 10 - 13

Question: 6

See if the other sides of the triangle also add up to 9.

Answer: Yes, the numbers on the other sides of the triangle add up to 9.

3 + 5 + 1 = 9, and 2 + 6 + 1 = 9.

Related Links -

NCERT Solutions for Class 4 Maths Chapter 1 NCERT Solutions for Class 4 Maths Chapter 8
NCERT Solutions for Class 4 Maths Chapter 2 NCERT Solutions for Class 4 Maths Chapter 9
NCERT Solutions for Class 4 Maths Chapter 3 NCERT Solutions for Class 4 Maths Chapter 10
NCERT Solutions for Class 4 Maths Chapter 4 NCERT Solutions for Class 4 Maths Chapter 11
NCERT Solutions for Class 4 Maths Chapter 5 NCERT Solutions for Class 4 Maths Chapter 12
NCERT Solutions for Class 4 Maths Chapter 6 NCERT Solutions for Class 4 Maths Chapter 13
NCERT Solutions for Class 4 Maths Chapter 7 NCERT Solutions for Class 4 Maths Chapter 14

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns Page No: 112

Question: 7

Now, use numbers 1 – 6 to make your own magic triangle.

Rule: Numbers on each side must add up to 10

NCERT Solutions Mathematics Class 4 Chapter 10 - 14

Answer: The numbers from 1 to 6 are arranged in the figure below, which add up to 10 in each line.

NCERT Solutions Mathematics Class 4 Chapter 10 - 15

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns Page No: 113

Number Towers

Question: 8

Using the same rule, completer these number towers.

NCERT Solutions Mathematics Class 4 Chapter 10 - 16

Answer:

NCERT Solutions Mathematics Class 4 Chapter 10 - 17

The Same Sum Rule

Some friends are playing with number cards. See how they add.

NCERT Solutions Mathematics Class 4 Chapter 10 - 18

Question: 9

Now you write any number and the three numbers after that. Make a pattern using the rule.

NCERT Solutions Mathematics Class 4 Chapter 10 - 19

See if you get the same sum.

NCERT Solutions Mathematics Class 4 Chapter 10 - 20

Answer: The numbers using the same pattern are given below:

NCERT Solutions Mathematics Class 4 Chapter 10 - 21

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns Page No: 114

Patterns with Addition

NCERT Solutions Mathematics Class 4 Chapter 10 - 22

Question: 10

Now, you try to make such a pattern with 5 numbers in order.

NCERT Solutions Mathematics Class 4 Chapter 10 - 23

Answer:

NCERT Solutions Mathematics Class 4 Chapter 10 - 24

Question: 11

Does the sum grow by 5 each time?

Answer: Yes, the sum grows by 5 each time.

NCERT Solutions Mathematics Class 4 Chapter 10 - 25

Question: 12

Complete this list of letters and numbers to help you.

NCERT Solutions Mathematics Class 4 Chapter 10 - 26

Answer:

NCERT Solutions Mathematics Class 4 Chapter 10 - 27

Question: 13

Teenu wants to write to his friend ‘Good Morning’.

What will he write by using the same rule?

NCERT Solutions Mathematics Class 4 Chapter 10 - 28

Answer:

G = 7 O = 15 O = 15 D = 4 M = 13 O = 15 R = 18 N = 14 I = 9 N = 14 G = 7 Hence, Good Morning can be written as follows NCERT Solutions Mathematics Class 4 Chapter 10 - 29

Question: 14

If we change the rule and write 1 in place of ‘B’, 3 in place of ‘D’ and so on, then how will we write ‘let us dance’?

NCERT Solutions Mathematics Class 4 Chapter 10 - 30

Answer: L = 11 E = 4 T = 19

U = 20 S = 18 D = 3 A = 26 N = 13 C = 2 E = 4 Therefore, ‘let us dance’ can be written as follows NCERT Solutions Mathematics Class 4 Chapter 10 - 31 NCERT Solutions Mathematics Class 4 Chapter 10 - 32

Question: 15

What was Kahuli’s secret message?

Answer: The n ew arrangement of letters for the secret message is given below:

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
Hence, Kahuli’s secret message was ‘XF BSF GSJFOET’, i.e. WE ARE FRIENDS

Question: 16

What did Shablu and Jaggu write?

Answer: The secret message written by Shablu is ‘IFMMP! IPX BSF ZPV?’ And ‘XJMM ZPV QMBZ XJUI NF?’

Hence, ‘IFMMP! IPX BSF ZPV?’ becomes – Hello! How are you? And ‘XJMM ZPV QMBZ XJUI NF?’ becomes – Will you play with me? The secret message written by Jaggu is ‘GJOF, UIBOL ZPV ZFT!’ Hence, the secret message written by Jaggu is – Fine, thank you. Yes!

Question: 17

Use the same rule to write – ‘Meet me on the moon’.

Answer: ‘Meet me on the moon’ secret message will be NFFU NF PO UIF NPPO.

Question: 18

Make different rules and ask your friends to crack the secret message.

Answer: Let the new rule be – write ‘A’ in the place of ‘C’, ‘B’ in the place of ‘D’ and so on. The new key for this new rule will be as follows:

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
Y Z A B C D E F G H I J K L M N O P Q R S T U V W X
Now, write ‘I am Sorry’ by using this new rule. The secret message for ‘I am Sorry’ will be ‘G YK QMPPW

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns Page No: 117-119

NCERT Solutions Mathematics Class 4 Chapter 10 - 33

Question: 19

Now, Anisha is playing with this card. Draw what it will look like when upside down.

NCERT Solutions Mathematics Class 4 Chapter 10 - 34

Answer: The card, when made upside down, will look like as shown below:

NCERT Solutions Mathematics Class 4 Chapter 10 - 35

Floor Patterns

NCERT Solutions Mathematics Class 4 Chapter 10 - 36

Question: 20

Have you ever seen a floor with tiles of these shapes?

Answer: No, I have never seen these shapes of tiles on the floor.

(a) Now, you cover this floor with this tile.

NCERT Solutions Mathematics Class 4 Chapter 10 - 37

Answer: Do it yourself.

(b) Can you make such a floor design with a tile like a circle?

Try with this green tile without leaving a gap. Could you do it? Discuss with your friends.

NCERT Solutions Mathematics Class 4 Chapter 10 - 38

Answer: Do it yourself.

We cannot make a design without leaving a gap by using circular tiles.

(c) Complete this tiling pattern.

NCERT Solutions Mathematics Class 4 Chapter 10 - 39

Answer: Do it yourself.

(d) Ramaiya has made a wall with his blocks. Can you complete this for him?

NCERT Solutions Mathematics Class 4 Chapter 10 - 40

Answer: Do it yourself.

(e) Renu began to paint this wall. Now you help her to complete it.

NCERT Solutions Mathematics Class 4 Chapter 10 - 41

Answer: Do it yourself.

Benefits of NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns

  • Clear Understanding : The solutions provide step-by-step explanations making it easier for students to grasp the concept of patterns in numbers and shapes.
  • Strengthens Logical Thinking : By solving pattern-related problems students can improve their logical reasoning and problem-solving abilities.
  • Fun Learning : The chapter encourages creativity by allowing students to learn and create their own patterns, making learning enjoyable.
  • Concept Clarity : The solutions simplify complex ideas, helping students better understand patterns and how they work.
  • Easy Access : The solutions are available in a convenient PDF format making it easy for students to download and study anytime.

NCERT Solutions for Class 4 Maths Chapter 10 Play with Patterns FAQs

What is a 'no number comes twice' number box as discussed in Chapter 10 of NCERT Solutions for Class 4 Maths?

A 'no number comes twice' number box is a grid where numbers are arranged so that no number repeats in any row or column. For example, in a 3×3 square with numbers 1, 2, and 3, the pattern could be: Line 1: 1, 2, 3 Line 2: 3, 1, 2 Line 3: 2, 3, 1

What is the rule for creating a magic square using numbers 1 to 9, as covered in Chapter 10 of NCERT Solutions for Class 4 Maths?

In a magic square, the rule is that the sum of the numbers in each row and each column must equal 15 when using numbers 1 to 9.

What are number towers, as mentioned in Chapter 10 of NCERT Solutions for Class 4 Maths?

A number tower is formed when numbers are arranged in a tower shape. The numbers in the boxes are calculated by adding the two numbers directly below them, starting from the bottom to the top.

How can students identify a pattern in numbers as explained in Chapter 10 of NCERT Solutions for Class 4 Maths?

To identify a pattern in numbers, students should observe how numbers change as they progress. This could involve addition, subtraction, multiplication, or other regular changes. For example, in a sequence like 2, 4, 6, 8, the pattern is an increase by 2.

What is a mirror pattern, as described in Chapter 10 of NCERT Solutions for Class 4 Maths?

A mirror pattern is when a design or shape is reflected along a line, creating a symmetrical pattern. For example, if a shape is drawn on one side of a line, its mirror image can be created on the other side, following the same design.
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