# NCERT Class 4 Maths Chapter 10 Play with Patterns

### 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?

Question: 2

Now write your own number patterns.

Question: 3

Make a pattern without numbers.

Answer: A pattern without numbers are given below

NCERT book Page No: 110

No Number Comes Twice

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

Question: 4

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

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.

In the given figure below, the numbers are filled in the stars from 1 to 9 which add upto 15 in each line.

• Magic Triangles
• Look at this number pattern.
• Rule: Numbers on each side of the triangle add up to 9

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

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

NCERT book Page No: 113

Number Towers

Question: 8

Using the same rule, completer these number towers.

The Same Sum Rule

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

Question: 9

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

See if you get the same sum.

Answer: The numbers using the same pattern are

NCERT book Page No: 114

Question: 10

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

Question: 11

Does the sum grow by 5 each time?

Answer: Yes, the sum grows by 5

NCERT book Page No: 115

Question: 12

Question: 13

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

What will he write by using the same rule?

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

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’?

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 book Page No: 116

Question: 15

What was Kahuli’s secret message?

Answer: New arrangement of letters for secret message is given below

Hence, the secret message of Kahuli is ‘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!’

This secret message becomes – 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.

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

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

Question: 19

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

Floor Patterns

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.

(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.

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

(c) Complete this tiling pattern.

Do it yourself

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

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