NCERT Class 4 Maths Chapter 10 Play with Patterns

NCERT Solutions for Chapter 10 Play with Patterns are provided here for all the types of questions in the textbook. The NCERT Solutions consist of solved questions that are helpful for students to understand each and every concept in a better way. These solutions are designed by the subject-matter experts at BYJU’S as per the latest CBSE syllabus (2023-2024).

The question papers for the final exam are prepared according to the exercise questions in Chapter 10 of the Maths Class 4 NCERT Book. Therefore, the solutions provided here give a thorough understanding of all the types of questions asked in the exams.

NCERT Solutions Class 4 Maths Chapter 10 Play with Patterns

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Access NCERT Solutions Class 4 Maths Chapter 10 Play with Patterns

NCERT Book 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 Book 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 Book 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.

NCERT Book 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 Book 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 Book 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 Book Page No: 115

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 Book Page No: 116

NCERT Solutions Mathematics Class 4 Chapter 10 - 32

Question: 15

What was Kahuli’s secret message?

Answer: The new 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 Book 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.

Frequently Asked Questions on NCERT Solutions for Class 4 Maths Chapter 10

Q1

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

It is a number box in which the pattern of filling numbers is according to the condition that no number comes twice in any line (both row and column). For example, numbers 1, 2 and 3 are to be filled in a 3×3 square, then the pattern will be as follows:
line 1 – 1, 2, 3
line 2 – 3, 1, 2
line 3 – 2, 3, 1.
Q2

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?

The rule for creating a magic square using numbers 1 to 9 is that the numbers on each line (both row-wise and column-wise) should add up to 15.
Q3

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

When numbers are arranged as a tower, it becomes a number tower. Number filling starts from below to the top according to a particular number pattern. The rule for creating a number tower is 2 numbers below are added to get the number in the box above them.
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