# MATHEMATICS IV

## Solutions Chapter 10 – Play with Patterns

#### Question 1:

Can you see how Tinu has made different patterns using the same block? Now you too make 3 different patterns using  Pattern 1

Pattern 2

Pattern 3

Disclaimer: The answer may vary from student to student. The answer provided here is only for reference.

#### Question 1:

Yamini has used her blocks to make a few patterns. Help her to take these patterns forward.

#### Question 2:

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

#### Question 3:

Now write your own number patterns.

Disclaimer: The answer may vary from student to student, based on his/her experience. The answer provided here is only for reference.

#### Question 1:

Make a pattern without numbers.

Disclaimer: The answer may vary from student to student, based on his/her experience. The answer provided here is only  for reference.

#### Question 2:

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

#### Question 1:

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

#### Question 1:

Now use numbers 1 – 6 to make your own magic triangle. Rule: Numbers on each side must add up to 10.

#### Question 2:

Now you write any number and the three numbers after that. Make a pattern using the rule. See if you get the same sum.

Disclaimer: The answer may vary from student to student. The answer provided here is only for reference.

#### Question 1:

Using the same rule, complete these number towers.

#### Question 1:

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

Does the sum grow by 5 each time?

#### Question 2:

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

Thus, ‘Good Morning’ is written as

#### Question 3:

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’?

L = 11; E = 4;  T = 19

U = 20; S = 18

D = 3; A = 26; N = 13; C = 2; E = 4

#### Question 1:

• What was Kahuli’s secret message? ____________ • What did Shablu and Jaggu write? _____________________________________________________________ • Use the same rule to write — ‘Meet me on the moon’. ______________________________________________________________ • Make different rules and ask your friends to crack the secret message.

• We are friends.
• Shablu wrote 2 messages, which are given below:

In her left hand, she held a paper in which following message was written. Hello! how are you? In her right hand, she held a paper in which following message was written. Will you play with me?

Jaggu also wrote 2 messages, which are given below:

In his left hand, he held a newspaper in which the following message was written. Fine, thank you. In his right hand, he held a newspaper in which the following message was written. Yes!

• NFFU NF PO UIF NPPO.

Disclaimer: The answer may vary from student to student. It is highly recommended that students prepare the answer on their own. The answer provided here is for reference only.

#### Question 1:

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

#### Question 1:

Now, you cover this floor with this tile.

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

#### Question 2:

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

We cannot cover the floor with this green tile without leaving a gap.

#### Question 3:

Complete this tiling pattern.

#### Question 1:

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