**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?**

**Answer:**

**Question: 2**

**Now write your own number patterns.**

**Answer:**

**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.**

**Answer:**

**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.**

**Answer: **

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.**

**Answer:**

**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**

**Patterns with Addition**

**Question: 10**

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

**Answer:**

**Question: 11**

**Does the sum grow by 5 each time?**

**Answer: **Yes, the sum grows by 5

**NCERT book Page No: 115**

**Question: 12**

**Complete this list of letters and numbers to help you.**

**Answer:**

**Question: 13**

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

**What will he write by using the same rule?**

**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

**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

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, 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.**

**Answer: **

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

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**

**Question: 19**

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

**Answer: **The card when made upside down looks like as below

**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.**

**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.**

**Answer: **Do it yourself

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

**(c) Complete this tiling pattern.**

**Answer: **

Do it yourself

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

**Answer:** Do it yourself

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

**Answer: **

Do it yourself.