NCERT Solutions for Class 4 Maths Chapter 10 – Play With Patterns

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NCERT Solutions for Class 4 Maths Chapter 10 Play With Patterns

1. Can you see how Tinu has made different patterns using the same block? Now you too make 3 different patterns using (image will beuploaded soon) .

Pattern 1.

Pattern 2.

Pattern 3.

Ans: In this question we have to make 3 patterns such that they repeat after some blocks. So, the reference patterns are as follows.

Pattern 1:

Pattern 2.

Pattern 3.

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

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

Ans:

Pattern 1:

In this pattern the leaf is rotated by 90 degrees each time as we move forward and attached to the previous one until we get the same pattern as 1^st. so this pattern continues as follows.

Pattern 2:

In this pattern in the 1st row 1 column there are 2 sticks having an upward arrow and in the 1st row 2 column there are 2 sticks having a downward arrow and the pattern continues with an increase of 1 stick having one upward and 1 downward pattern respectively. So this pattern continues as follows.

Pattern 3:

As we move forward in this pattern we see that the circle is rotated by 90 degrees each time. So this pattern continues as follows.

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

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Ans:Pattern 1: In this pattern the alphabets of the English language are written in the pair of 3 alphabets in one. So this pattern continues as follows.

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Pattern 2: In this pattern thecounting and the alphabet’s both are in reverse order as we move forward. So this pattern continues as follows.

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Pattern 3: In this pattern the upcoming triangle is filled by a number which is obtained by subtracting 100 from the previous one. So this pattern continues as follows.

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Pattern 4: In this pattern the upcoming triangle is filled by a number which is obtained by adding 100 in the previous one. So this pattern continues as follows.

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4. Now write your own number patterns.

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Ans: In this question, we have to make our own number patterns. This pattern are for

Reference only.

Pattern 1:

      In this pattern, we start with 100 and add 100 as we move forward.

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Pattern 2:

       In this pattern, we start with 850 and subtract 100 as we move forward.

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

5. Make a pattern without numbers.

Ans: In this question, we have to make a pattern which does not contain the numbers. 

So, In this pattern we write English alphabets in pairs of 2.

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

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

Ans:In this question, we have to fill the above squares with the letter’s A, B, and C. Such that no letter comes twice in any line. So, the pattern is as follows.

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

7. Now you fill these stars. Use numbers 1-9 and the rule that the number on each line adds up to 15.

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Ans: In this question, we have to fill the above stars with the numbers 1 to 10. Such that the number on each line adds up to 15. So, the pattern is as follows.

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

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

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Ans: In this question, we have to fill the above stars with the numbers 1 to 6. Such that the number on each side adds up to 10. So, the pattern is as follows.

(image will be uploaded soon)

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

9. Now you write any number and the three numbers after that. Make a pattern using the rule.

Ans: In this question, it is given that we have to write the numbers in series and we can start that series with any number. Such that the additional table given makes a rule for this particular question. So the pattern is as follows. And the rule is that the sum of the first and last number and the sum of 2^nd and 2^nd last number is equal in this case the sum in 15.

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

10. Using the same rule. Complete these number towers.

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Ans:

Pattern 1:

In this pattern, the rule is that the sum of numbers in the lower 2 circles is the number in the upper circle. So the pattern continues as follows.

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Pattern 2:

In this pattern, the rule is that the sum of numbers in the lower 2 squares is the number in the squares. So the pattern continues as follows.

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

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Ans: In this question, we have to make a pattern such that the sum of the first 5 numbers of a row is equal to the 6th number. And that 5 numbers and the respective sum also makes a pattern itself. So, the pattern is as follows.

(image will be uploaded soon)

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

12. Complete this list of letters and numbers to help you.

Ans: In this question, it is clearly seen that the 1^st row continues with English alphabets and the 2^nd row continues with the numbers of that alphabet according to the English language. So the pattern is as follows.

13. Teenu wants to write to his friend ‘Good Morning’. What will he write by using the same rule?

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Ans: In this question, we have to follow the rule of the previous question.

As,

G=7; O=15; O=15; D=4

And M=13; O15; R=18; N=14; I=9; N=14; G=7;

So, by using the same rule ‘Good Morning’ is written as.

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14. 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’?

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Ans: In this question, it is mentioned that ‘B’ is coded as ‘1’ and ‘D’ is coded as ‘3’

That means the counting of letters starts from ‘0’ for this question.

So, L=11; E=4; T=19

U=20; S=18

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

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15. 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.

Ans: We are friends.

Shablu wrote “hello! How are you?” on his right hand and will you play with me? On her left hand. 

Jaggu also wrote 2 messages, one is “Fine, thank you” and the other one is “Yes”!

‘Meet me on the moon’ is written as ‘NFFU NF PO UIF NPPO’.

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

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Ans:After changing the orientation of the card by 180 degrees the card will look like this.

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17. Now, you cover this floor with this tile. Can you make such a floor design with a tile like a circle?

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Ans: After completing this pattern the floor design looks like.

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

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Ans:After repeating this circle the pattern of green tile will look like this.

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19.

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Complete this tiling pattern.

Ans:

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

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Ans:

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21. Renu began to paint this wall. Now you help her to complete it.

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Ans:

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Glimpses of Class 4 Maths Chapter 10 – Play with Patterns

Class 4 Maths Chapter 10 – Play with Patterns, teaches us how to recognize growing and reducing patterns in pictures and numbers. You will also be able to identify the rule for growing and reducing patterns and extend the patterns using rules. 

We see patterns everywhere around us. They could be in our clothes that we wear or bed sheets or curtains in our homes or in the toys that we play, etc. So what is a pattern? Patterns are created when figures, shapes, objects, etc. are arranged in a particular order and repeated over and over again. We must have seen different kinds of patterns in our daily life. 

Let us look at the pattern below.

ΟΔ• —— ΟΔ• —– ΟΔ•

↑          ⎯⎯⎯⎯⎯⎯

This is a Pattern      this is repeated.

Maths is full of patterns. We find patterns in alphabets, numbers, shapes, etc. 

For example: Let us see the Table of 2.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20,……. We are skipping each number by 2. 

Once you know the rule for a pattern you can continue the pattern. 

Growing and Reducing patterns

Picture Patterns: A picture can be made by increasing or decreasing the number of objects.

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This is a growing pattern. The rule followed in the pattern is that the number of squares increases by 1 each time. 

In the next picture

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This is a reducing pattern. The rule followed is that the number of circles decreases by 1 each time. 

Number Patterns: Increasing and decreasing patterns can be formed with numbers also.

Example: 1, 3, 5, 7, 9, ….. ? What will be the next number ?

This is a growing pattern. The rule followed is that the next number is obtained by adding 2 to the previous number. 

So, the next number is: 9 + 2 = 11.

Let us see the reducing pattern. 

Example: What is the next number in the pattern: 20, 18, 16, 14, …..?

This is a reducing pattern. The rule followed is that the next number is obtained by subtracting 2 from the previous number. 

So, the next number is: 14 – 2 = 12.

What is a Number Tower?

Number Tower is a fun puzzle for children where numbers are arranged in a tower. We start calculating from the below of the tower and get to the number at the top of the tower following the rule of pattern. 

48

20      28

8       12         16

Let us check how we arranged the numbers in the above tower. We start from the below and get this number pattern. Can you follow the rule of this pattern?

We added 2 numbers in the below boxes to get the number in the box above them.

We add 8 + 12 = 20; 12 + 16 = 28; 20 + 28 = 48

Same Sum Rule

In this rule, we get the same result each time when we add two numbers.

Example:  10 + 5 = 15

        11 + 4 = 15

        12 + 3 = 15

We can use the pattern in creating secret messages like coding and decoding. 

Say, we code a particular word with a pattern of numbers and then the word is decoded. This can be used when we have to send some secret message to someone. 

Conclusion

Recognizing patterns for coding and decoding is important for the development of Mathematical skills. With these basic rules and concepts of patterns now you can solve any kind of reasoning questions. You just need to observe the pattern very carefully and then decode it.