NCERT Solutions | Class 4 Maths Chapter 10 | Play With Patterns

CBSE Solutions | Maths Class 4

Check the below NCERT Solutions for Class 4 Maths Chapter 10 Play With Patterns Pdf free download. NCERT Solutions Class 4 Maths were prepared based on the latest exam pattern. We have Provided Play With Patterns Class 4 Maths NCERT Solutions to help students understand the concept very well.

NCERT | Class 4 Maths

NCERT Solutions Class 4 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	4
Subject:	Maths
Chapter:	10
Chapters Name:	Play With Patterns
Medium:	English

Play With Patterns | Class 4 Maths | NCERT Books Solutions

You can refer to MCQ Questions for Class 4 Maths Chapter 10 Play With Patterns to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

NCERT Solutions for Class 4 Maths Chapter 10 Play With Patterns

In the magic box, 1, 2, and 3 is arranged in such a way that no number comes twice In any line.
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 107 Q1
In the magic box, there are 9 boxes and the digits from 1 to 9 are arranged in such a way that the sums of all line are equal.

In the magic pattern given here the number from 1 to 9 is used and the numbers ‘ on each line add up to 12.
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 107 Q1.2
This is a magic triangle. In the number from 1 to 6 are used. The sum of all sides are 9.

In secret message the numbers denoting the alphabet are used to form a message.
A = 1, B = 2, C = 3, D = 4, E = 5, F = 6, G = 7, H = 8,1 = 9, J = 10, K = 11, L = 12,
M = 13, N =14, O = 15, P = 16, Q = 17, R = 18, S = 19, T = 20, U = 21, V = 22, W = 23,
X = 24, Y = 25, Z = 26.

1. Can you see how Tinu has made different patterns using the same block? Now
you too make 3 different patterns using
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 108 Q1

Ans. -
Pattern-1
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 108 Q1.1

Pattern-2
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 108 Q1.2

Pattern-3
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 108 Q1.3

NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 108 Q1.4

1. Yamini has used her blocks to make a few patterns. Help her to take these patterns forward.
Ans. - Do yourself.

2. We can also make patterns with numbers and letters. Below are a few examples. Can you take them forward?
Ans. - . Do yourself. ‘

3. Now write your own number patterns.
Ans. - Do yourself.

4. Make a pattern without numbers.
Ans. - Pattern without numbers is as follows:
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 109 Q4

No Number Comes Twice
1. Now you try writing the letters-A, B, C in the box so that no letter comes twice in any line.
Ans. - In the following pattern no letters repeat in a line.
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 110 Q1

NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 110 Q1

Magic Patterns
1. Now you fill these stars. Use numbers 1-9 and the
rule that the numbers on each line add up to 15.
Ans. - The number from 1 to 9 are filled in the stars. Which added upto 15 in each line.
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 111 Q1

NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 111 Q1

Magic Triangles
Look at this number pattern.
Rule: Numbers on each side of the triangle add up to
9. 3 + 4 + 2 = 9

2. See if the other sides-of the triangle also add up to 9.
Ans. - Yes, numbers on the other sides of triangle add up to 9.
3 + 5 + 1 = 9 2 + 6 + 1 = 9

1. Now use numbers 1-6 to make your own magic triangle.
Rule: Numbers on each side must add up to It
Ans. - The numbers from 1—6 can be arranged as follows which will be added up to 10.
1 + 6 + 3 = 10 1 + 4 + 5 = 10 3 + 2 + 5 = 10

1. Using the same rule, complete these number towers.
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 113 Q1

Ans. - In the circle towers, numbers at the base is added and form the number of the above circle.
5 + 10 = 15 15 + 20 = 35 15 + 25 = 40
25 + 35 = 60 60 + 40 = 100
In the rectangle number tower:
1 + 2 = 3 2+3=5 3+4=7
4 + 5 = 9
In the third level
3 + 5 = 8 5 + 7 = 12 7 + 9 = 16
In the fourth level
8 + 12 = 20 12 + 16 = 28 On the fourth level (top)
20 + 28 = 48

The Same Sum Rule
1. Now you write any number and the three numbers after that. Make a pattern using the rule.
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 113 Q1.1
See if you get the same sum

Ans. - The number using the same pattern is as follows:

Patterns with Addition
1. Now you try to make such a pattern with 5 numbers in order.
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 114 Q1

NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 114 Q1

Ans. -
1 + 2 + 3 + 4 + 5 = 15 2 + 3 + 4 + 5 + 6 = 20
3 + 4 + 5 + 6 + 7 = 25 4 + 5 + 6 + 7 + 8 = 30
5 + 6 + 7 + 8 + 9 = 35

2. Does the sum grow by 5 each time?
Ans. - Yes, the sum grows by 5 each time.

Secret Messages
1. Complete this list of letters and numbers to help you.
Ans. -
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 115 Q1

2. Teenu wants to write to his friend ‘Good Morning’. What will he write by using the same rule?
Ans. - 7 15 15 4 13 15 18 14 9 14 7

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’?
Ans. -

Let Us Dance will be-11 4 19 20 18 3 26 1324

More Secret Messages
Jaggu-You see, we have changed each letter by its next letter. That is, we write ‘G’ in place of ‘F’, ‘O’ in place of‘N’. So ‘YES’-becomes ‘ZFT’.
Kahuli-See what I have written-‘XF BSF GSJFOET?

1. What was Kahuli’s secret message?
Ans. - New arrangement of letters for secret message is as follows:
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 116 Q1
Therefore, secret message written by Kahuli ‘
‘XF BSF GSJFOET’ will be-WE ARE FRIENDS

2. What did Shablu and Jaggu write?
Ans. - . Shablu’s secret message is-TFMMP! IPX BSF ZPV?’ And ‘XJMM ZPV QMBZ XJUI NF?’
Therefore
‘IFMMP! IPX BSF ZPV?’ will be – Hello! How are you?
And ‘XJMM ZPV QMBZ XJUI NF?’ will be – Will you play with me?
Jaggu’s secret message is-‘GJOF UIBOL ZPV. ZFT!’
This will become-Fine thank you. Yes!

3. Use the same rule to write-Meet me on the moon’.
Ans. - The secret message for ‘Meet me on the moon’ will become-Nffu nf po uif nppo.

4. Make different rules and ask your friends to crack the secret message.
Ans. - New rule-Write ‘A’ at the place of ‘C’, B at the place of‘D’ and so on. Following this rule the new key will be
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 116 Q4
Write the ‘I am going to play’ using this new rule This message will become-G yk emgle tm njyw.

1. Anisha is playing with this card. Draw what it will look like when upside down.
Ans. - This card looks like as follows when keep upside down.
NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 117 Q1

NCERT Solutions for Class 4 Mathematics Unit-10 Play With Patterns Page 117 Q1

Floor Patterns
2. Have you ever seen a floor with tiles of these shapes?
Ans. - No, I did not see this type of floor tiles.
(a) Now, you cover this floor with this tile.
Ans. - For self attempt.
(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.
Ans. - For self attempt.
Now we cannot make the design without leaving a gap using circular tiles.
(c) Complete this tiling pattern.
Ans. For self attempt.
(d) Ramaiya has made a wall with his blocks. Can you complete this for him?
Ans. - For self attempt.
(e) Renu began to paint this wall. Now you help her to complete it.
Ans. - For self attempt.