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NCERT
SOLUTIONS
CLASS - 3rd
aglase .co
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Book - Math-Magic Ncert Solutions | Chapter- 10 Maths
Class : 3
Subject : Maths
Chapter : 10
Chapter Name : Play With Patterns
Q1 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.
Page : 144 , Block Name : Patterns Around Us
Q2 Draw some patterns which you have found around yourself.
Page : 144 , Block Name : Patterns Around Us
Q1 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, ________…….
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Book - Math-Magic Ncert Solutions | Chapter- 10 Maths
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 : 146 , Block Name : Practice Time
Q1 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 : 147 , Block Name : Growing Patterns
Q1
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Book - Math-Magic Ncert Solutions | Chapter- 10 Maths
Page : 148 , Block Name : My Own Patterns
Q2 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:
Page : 148 , Block Name : My Own Patterns
Q3 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 : 148 , Block Name : My Own Patterns
Q1 A Look for the rules and continue these growing patterns: (a) 51, 56, 61, 66, _____, _____ ……. (b)
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Book - Math-Magic Ncert Solutions | Chapter- 10 Maths
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.
Page : 149 , Block Name : Number Patterns
Q2 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, _____, _____, _____, _____,
_____
(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 : 149 , Block Name : Number Patterns
Q1 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
Page : 149 , Block Name : Secret Messages
Q1 Even and Odd Number Patterns
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
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Book - Math-Magic Ncert Solutions | Chapter- 10 Maths
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 : 151 , Block Name : Even And Odd Number Patterns
Q1 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
Sharada 11
Mahadevan 8
Tsering 12
Adil 1
Gurinder 4
Baichung 2
Harsha 5
Raja 10
Narayan 9
Kavita 7
Warsha 13
Elvis 3
Jalaj 6
Page : 152 , Block Name : Names In An Order
Q2 Which of the following names have the same pattern? Mark ✓. Harsh, Anna, Kanak, Munna, Ongbi
Answer. Harsh, Anna, Kanak, Munna, Ongbi ✓
Page : 152 , Block Name : Names In An Order
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Book - Math-Magic Ncert Solutions | Chapter- 10 Maths
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