Chapter 10 – Play with Patterns

Page No 144:

Question 1:

Look around you and list three things in which you find some pattern. ____________ ____________ ____________

Answer:

I can find patterns on the tiles in my bathroom, my mother’s saree, and my friend’s shirt.

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

Question 2:

Draw some patterns which you have found around yourself.

Answer:

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

Page No 146:

Question 1:

Practice Time • Given below are some patterns. Figure out the rule for each and continue the pattern.

(a) 

(b)

(c) 

(d) 

(e) 

(f) Morning, afternoon, evening, night, morning, ________…….

Answer:

(a) Rule: There is one red pot after every blue pot.

(b) Rule: There is a B after every two A.

(c) Rule: First 3 images are repeated in the pattern.

(d) Rule: The blue triangle in the square changes its position in an anti-clockwise direction. The same pattern of first 4 images is repeated after that.

(e) Rule: The pattern is moving in a clockwise direction. The same pattern of first 4 images is repeated after that.

(f) Rule: The four parts of the day are repeated. Morning, afternoon, evening, night, morning, afternoon, evening, night.

Page No 147:

Question 1:

Growing Patterns 

Can you see the rule and continue the pattern?

Answer:

In 1st image, there is only 1 arrow head pointing in the upward direction. In 2nd image, there is only 1 arrow head and is pointing in the downward direction. In 3rd image, there are only 2 arrow heads pointing in the upward direction. In 4th image, there are only 2 arrow heads pointing in the downward direction.

Similarly, the arrowheads become 3 in 5th and 6th image, pointing upward and downward alternately. So, in 7th and 8th image of the pattern, there will be 4 arrowheads, pointing upward and downward alternately.

Page No 148:

Question 1:

Try these also.

 

Answer:

Question 2:

My Own Patterns • Here is your space to make your own patterns: (i)

(ii)

(iii)

(iv)

Answer:

Some of the patterns are given below for reference:

 Disclaimer: The patterns may vary from student to student. It is highly recommended that the student prepares the answer on their own.

Question 3:

Ask your friends to continue the patterns made by you. Number Patterns We have made some patterns with pictures. We can make patterns with numbers too. Like 21, 41, 61, 81, 101, …….. You know the next number, don’t you? This is a growing pattern. It can go on and on. 21, 41, 61, 81, 101, 121, 141, 161, ………

Answer:

21, 41, 61, 81, 101, 121, 141, 161, 181, 201, 221, 241, 261, 281, 301………….

Page No 149:

Question 1:

A Look for the rules and continue these growing patterns: (a) 51, 56, 61, 66, _____, _____ ……. (b) 7, _____, 21, 28, 35, _____, _____ …… (c) 2, 4, 8, 16, 32, _____, _____, _____ (d) 12A, 13B, 14C, _____, _____.

Answer:

(a) 51 + 5 = 56 56 + 5 = 61 So, we keep adding 5 in the next number to complete the pattern further. 51, 56, 61, 66, 71, 76, 77 …….

(b) 7

×1 = 7 7

×2 = 14 7

×3 = 21 So, we keep writing table of 7 to complete the pattern further. 7, 14, 21, 28, 35,42, 49, ……

(c) 2

×1 = 2 2

×2 = 4 2

×4 = 8 2

×8 = 16 So, we keep multiplying 2 with the previous answer received to complete the pattern further. 2, 4, 8, 16, 32, 64, 128, 256

(d) Here each number increases by 1 and alphabets are written in their order along with the increasing numbers. 12A, 13B, 14C, 15D, 16E.

Question 2:

Look at these growing patterns. Find out what to add to each number to get the next one: (a) 1, 3, 6, 10, _____, _____, _____, _____, _____ (b) 0, 2, 6, 12, _____, _____, _____, _____, _____ (c) 1, 3, 7, 13, _____, _____, _____, _____, _____ (d) 2, 3, 6, 11, 18, _____, _____, _____, _____, _____

Answer:

(a) 1 + 2 = 3 3 + 3 = 6 6 + 4 = 10 10 + 5 = 15 1, 3, 6, 10, 15, 21, 28, 36, 45.

(b) 0 + 2 = 2 2 + 4 = 6 6 + 6 = 12 12 + 8 = 20 0, 2, 6, 12, 20, 30, 42, 56, 72.

(c) 1 + 2 = 3 3 + 4 = 7 7 + 6 = 13 13 + 8 = 21 1, 3, 7, 13, 21, 31, 43, 57, 73

(d) 2 + 1 = 3 3 + 3 = 6 6 + 5 = 11 11 + 7 = 18 2, 3, 6, 11, 18, 27, 38, 51, 66, 83.

Page No 150:

Question 1:

Now you also make your own secret messages. _______________________________________________ _______________________________________________ _______________________________________________

Answer:

4 I 5 L 4 O 5 V 4 E 5 M 4 A 5 T 4 H 5 S 4

Disclaimer: The answer may vary from student to student. It is highly recommended that the student prepare their answer on their own.

Page No 151:

Question 1:

Even and Odd Number Patterns

91 81 71 61 51 41 31 21 11 1

92 82 72 62 52 42 32 22 12 2

93 83 73 63 53 43 33 23 13 3

94 84 74 64 54 44 34 24 14 4

95 85 75 65 55 45 35 25 15 5

96 86 76 66 56 46 36 26 16 6

97 87 77 67 57 47 37 27 17 7

98 88 78 68 58 48 38 28 18 8

99 89 79 69 59 49 39 29 19 9

100 90 80 70 60 50 40 30 20 10

Half these numbers are in yellow. What patterns do you see in these numbers? Continue the same pattern and fill in the blanks: 96, 98, _____, 102, _____, _____, _____, _____, _____ How far can you continue this pattern? These numbers have a special name. They are called even numbers. Do any of these even numbers end with 3 or 5? What do even numbers end with? Look at the pattern of numbers in blue. Continue the pattern and fill in the blanks: 99, 101, _____, 105, 107, _____, _____, _____ What do the numbers in blue end with? All numbers that end with 1, 3, 5, 7 or 9 are called odd numbers. Write all odd numbers between 400 and 410. _________________________________________________________________ Write all even numbers between 155 and 165. _________________________________________________________________ If we add 1 to any odd number we get an _________ (even/odd) number. If we add 1 to any even number we get an _________ (even/odd) number. What do you get if you add an even number to an odd number?

Answer:

All these numbers have either 0, 2, 4, 6 or 8 at their units place. 96, 98, 100, 102, 104, 106, 108, 110, 112……

This can be continued without any end.

No, none of these even numbers end with 3 or 5.

Even numbers end with 2, 4, 6, 8 or 0. 99, 101, 103, 105, 107, 109, 111, 113…….

Numbers in blue end with 1, 3, 5, 7 or 9.

Page No 152:

Question 1:

Names in an Order Adil has to arrange this list so that the names starting with A come first and then come those with B, C, D and so on. Number these names in the order in which they will come. Sharada

Mahadevan

Tsering

Adil

Gurinder

Baichung

Harsha

Raja

Narayan

Kavita

Warsha

Elvis

Jalaj

Answer:

Sharada

11  Mahadevan

8  Tsering

12Adil

1

Gurinder

4  Baichung

2  Harsha

5  Raja

10

Narayan

9  Kavita

7  Warsha

13  Elvis

3  Jalaj

6

Question 2:

Which of the following names have the same pattern? Mark ✓. Harsh, Anna, Kanak, Munna, Ongbi

Answer:

Harsh, Anna, Kanak, Munna, Ongbi ✓        ✓

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