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NCERT · Class 4 · Maths

Chapter 10: Play with Patterns

Practice each question, then open the answer or worked solution.

Questions

20 questions
Q11Written answer

Question: 11

Does the sum grow by 5 each time?

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Worked solution

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

NCERT Book Page No: 115

NCERT Solutions Mathematics Class 4 Chapter 10 - 25

Q12Written answer

Question: 12

Complete this list of letters and numbers to help you.

NCERT Solutions Mathematics Class 4 Chapter 10 - 26

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Worked solution

NCERT Solutions Mathematics Class 4 Chapter 10 - 27

Q13Written answer

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

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Worked solution

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

Q14Written answer

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

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Worked solution

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

Q15Written answer

Question: 15

What was Kahuli’s secret message?

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Worked solution

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

Q16Written answer

Question: 16

What did Shablu and Jaggu write?

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Worked solution

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!

Q17Written answer

Question: 17

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

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Worked solution

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

Q18Written answer

Question: 18

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

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Worked solution

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

Q19Written answer

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

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Worked solution

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

Q20Written answer

Question: 20

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

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Worked solution

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.