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NCERT: Math-Magic Solutions for Class-3, Chapter-10: Play with Patterns

**Play with Patterns** deals with patterns in geometrical shapes,
patterns in even and odd numbers. This chapter have exercises on symmetrical
shapes and patterns, patterns and designs with straight lines and geometrical
shapes, patterns in even and odd numbers

The solutions for Math-Magic Chapter-10 have been created and verified by our experienced subject matter experts, according to the CBSE syllabus and guidelines of NCERT. For practice, our subject matter experts have created very interactive, activity-based, and Image-based worksheets on these topics to enhance learning..

Download Chapter 10 Play with Patterns in PDF format for free here.

**Chapter 10:Play with Patterns**

**Patterns Around Us**

**Question 1 : **Look around you and list three things
in which you find some pattern.

**Answer : **Do it by yourself. Answers may vary. You
can find patterns in tiling, designs in sarees, grills, etc..

**Question 2 : ** some patterns which you have found
around yourself

**Answer : **Do it by yourself. A sample answer is:

**Question 3 : **Can you see a pattern in the way each
block is repeated?

**Answer : **Observe the blocks in the given image.
Blocks are placed upwards and downwards in a pattern. So, there is a
pattern.

**Practice Time**

**Question 4 : **Given below are some patterns. Figure
out the rule for each and continue the pattern.

f. Morning, afternoon, evening, night, morning, ........

**Answer : **

a. In this pattern, a blue pot and a pink pot are repeated
alternatively.

b. In this pattern, one â€˜Bâ€™ appears after every two â€˜Aâ€™

c. In this pattern, the number of petals of the flower increases
from 1 to 3 and then to 5. After that, the pattern repeats itself.

d. In this pattern, the blue colour triangle is rotating in an
anticlockwise direction.

e. In this pattern, the half-circle is rotating in a clockwise
direction.

f. In this pattern, the different times of a day are repeated in a
manner as they arrive one by one in a day. Morning, afternoon,
evening, night, morning, afternoon, evening, night.

**Growing Patterns**

**Question 5 : **Can you see the rule and continue the
pattern?

**Answer : **Observe the given pattern, the arrowheads
are given in the opposite direction from the previous one and the
number of arrowheads are increasing after every two ovals.

**Question 6 : **
Try these also.

**Answer : **The complete patterns are shown below.

**My Own Patterns**

**Question 7 : **Here is your space to make your own
patterns:

**Answer : **Do it by yourself. Answers may vary. Some
sample patterns are drawn below.

1

2

3

4

**Number Patterns**

**Question 8 : **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. Observe the given pattern, the difference between each pair of
numbers is:

56 â€“ 51 = 5, 61 â€“ 56 = 5, 66 â€“ 61 = 5

The numbers are increasing as well.

Therefore, the next numbers in the given patterns are:

66 + 5 = 71, 71 + 5 = 76

Hence, the pattern is:

51, 56, 61, 66, 71, 76, 81, 86 â€¦

b.Observe the given pattern, the difference between each pair of
numbers is:

28 â€“ 21 = 7, 35 â€“ 28 = 7

The numbers are increasing as well.

Therefore, the missing numbers are:

7 +7 = 14, 35 + 7 = 42, 42 + 7 = 49

Hence, the complete pattern is:

7, 14, 21, 28, 35, 42, 49, 56, â€¦

c. Observe the given pattern, each number is double of the previous
number.

4 = 2 Ã— 2, 8 = 2 Ã— 4, 16 = 2 Ã— 8

Therefore, the missing numbers are:

2 Ã— 32 = 64, 2 Ã— 64 = 128, 2 Ã— 128 = 256

Hence, the complete pattern is:

2, 4, 8, 16, 32, 64, 128, 256, â€¦

d. Observe the given pattern, the difference between each pair of
numbers is:

13 â€“ 12 = 1,14 â€“ 13 = 1

Also, there are capital letters of the English alphabet as a suffix
with each number in the pattern A, B, Câ€¦.

Therefore, the missing entries are:

(14 + 1) D = 15D, (15 + 1) E = 16E

Hence, the pattern is:

12A, 13B, 14C, 15D, 16E, 17Fâ€¦

**Question 9 : **B. 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. Observe the difference between each pair of numbers in the
given pattern.

3 â€“ 1 = 2, 6 â€“ 3 =3, 10 â€“ 6 = 4

The difference is increasing in the pattern:

2, 3, 4, â€¦

Therefore, the next numbers in thee given pattern are:

10 + 5 = 15, 15 + 6 = 21, 21 + 7 = 28, 28 + 8 = 36, 36 + 9 = 45.

Hence, the complete pattern is:

1, 3, 6, 10, 15, 21, 28, 36, 45.

b. Observe the difference between each pair of numbers in the given
pattern.

2 â€“ 0 = 2, 6 â€“ 2 = 4, 12 â€“ 6 = 6

The difference is increasing in the pattern:

2, 4, 6, â€¦

Therefore, the next numbers in the given patterns are:

12 + 8 = 20, 20 + 10 = 30, 30 + 12 = 42, 42 + 14 = 56, 56 + 16 =
72.

Hence, the complete pattern is:

0, 2, 6, 12, 20, 30, 42, 56, 72

c. Observe the difference between each pair of numbers in the given
pattern.

3 â€“ 1 = 2, 7 â€“ 3 = 4, 13 â€“ 7 = 6

The difference is increasing in the pattern:

2, 4, 6, â€¦

Therefore, the next numbers in the given pattern are:

13 + 8 = 21, 21 + 10 = 31, 31 + 12 = 43, 43 + 14 = 57, 57 + 16 =
73.

Hence, the complete pattern is:

1, 3, 7, 13, 21, 31, 43, 57, 73.

d. Observe the difference between each pair of numbers in the given
pattern.

3 â€“ 2 = 1, 6 â€“ 3 = 3, 11 â€“ 6 = 5, 18 â€“ 11 = 7

The differences are increasing odd numbers in the pattern:

1, 3, 5, 7, â€¦

Therefore, the next numbers in the given pattern are:

18 + 9 = 27, 27 + 11 = 38, 38 + 13 = 51, 51 + 15 = 66, 66 + 17 =
83.

Hence, the complete pattern is:

2, 3, 6, 11, 18, 27, 38, 51, 66, 83.

**Secret Messages**

**Question 10: **Can you tell what they are trying to
say?

**Answer : **

Observe the secret messages. After
each 3 there is an English alphabet in the messages. Remove all 3s
to decode the message.

Secret message:

â€˜3W3H3E3R3E

3A3R3E 3Y3O3Uâ€™

After removing 3s, the decoded message is:

â€˜WHERE ARE YOUâ€™

Secret message:

â€˜3I3N 3T3H3E

3C3A3N3T3E3E3Nâ€™

After removing 3s, the decoded message is:

â€˜IN THE CANTEENâ€™

**Question 11 : **These are two secret messages. Look
for the patterns and find the hidden sentences.

**Answer : **Observe the first secret message. After
each number there is an English alphabet in the message. Remove all
the numbers to decode the message.

Secret message:

â€˜1 I 2 L 3 O 4 V 5 E 6 Y 7 O 8 Uâ€™

After removing numbers, the decoded message is:

I LOVE

Observe the second secret message. Between continuous English

alphabets there are secret letters for the message. Remove the

continuous alphabets to decode the message.

Secret message:

â€˜ATBHCIDS EBFOGOHK IIJS KFLUMNâ€™

Decoded message:

â€˜THIS BOOK IS FUNâ€™

**Question 12 : **Now you also make your own secret
messages.

**Answer : **Do it by yourself. Answers may vary.

**Even and Odd Number Patterns**

**Question 13 : **What patterns do you see in these
numbers? Continue the same pattern and fill in the blanks:

96, 98, ___, 102, ___, ___, ___, ___,

**Answer : ** Observe the pattern in the given numbers.
Numbers are ending with 2, 4, 6, 8, or 0. These numbers are called
even numbers. The pattern is: 96, 98, 100, 102, 104, 106, 108, 110

**Question 14 : **How far can you continue this
pattern?

**Answer : **
There is no end to even numbers, this pattern can be continued
without any end.

**Question 15 : **Look at the pattern of numbers in
blue. Continue the pattern and fill in the blanks: 99, 101, ___,105,
107, ___, ___.

**Answer : **
Observe the patterns in the numbers given in blue. These numbers are
called odd numbers. These numbers end with 1, 3, 5, 7, or 9. The
complete pattern is: 99, 101, 103, 105, 107, 109, 111, 113.

**Question 16 : **What do the numbers in the blue end
with?

**Answer : **
The numbers in the blue are odd numbers and they end with 1, 3, 5,
7, or 9.

**Question 17 : **Write all odd numbers between 400 and
410

**Answer : **The odd numbers between 400 and 410 are:
401, 403, 405, 407, 409

**Question 18 : **
Write all even numbers between 155 and 165.

**Answer : **
The even numbers between 155 and 165 are: 156, 158, 160, 162, 164.

**Question 19 : **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 : **
If 1 is added to an even number, then the resultant number is an odd
number. If 1 is added to an odd number, then the resultant number is
an even number. If an even number is added to an odd number, then
the resultant number is an odd number..

**Names in an Order**

**Question 20 : **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

**Answer : **
According to the sequence of the English alphabet, the names will
come in the following order..

1 | Aditi | 3 | Baichung |

3 | Elvis | 4 | Gurinder |

5 | Harsha | 6 | Jalaj |

7 | Kavitha | 8 | Mahadevan |

9 | Narayan | 10 | Raja |

11 | Sharada | 12 | Tsering |

13 | Warsha | 14 | 15 |

**Question 20 : **Which of the following names have the
same pattern? Mark ïƒ¼. Harsh, Anna, Kanak, Munna, Ongbi

**Answer : **
From the given names you can observe that the names Anna Kanak can
be read the same from the opposite direction as well.