RBSE Solutions for Class 5 Maths Chapter 8 Patterns

Rajasthan Board RBSE Solutions for Class 5 Maths Chapter 8 Patterns Textbook Exercise Questions and Answers.

RBSE Class 5 Maths Solutions Chapter 8 Patterns

InText Questions:

Question 1.
Complete the following pattern:

Solution:

Question 2. 
In above question, excluding given pattern, can you form your own pattern?
Solution: 
Yes, we are can make our pattern, which is as follows:

Except this we can make by other way also.

Question 3. 
Complete the pattern:

Solution:
On moving pattern, below pattern is obtained by moving shaded part of circle in next quadrant.

Below pattern is obtained by rotating semi-circle in 90° clockwise.

Below pattern is same as above pattern.

Below pattern is obtained by arranging two figures in alternate order.

Below pattern is obtained after rotating 90° clockwise.

Question  4.
See number patterns, recognize and move forward: 

Solution. 
In the following pattern, next number is obtained by adding 3 in previous one.

In the following pattern, next number is obtained by subtracting 20 from previous one.

In the following pattern, next number is obtained by twice the previous one.

In the following pattern, next humber is obtained by adding 7 in previous one.

Question 5. 
See the patterns in numbers, recognize them and proceed further.

Solution. 
In the following pattern, next number is 3 more than previous one.

In the following pattern, next number is 6 more than previous one.

In the following pattern, next number is 5 more than previous one.

We can make any pattern below as:
Start from 1, add 2 to previous one.

Start from 1, multiply by 2 to previous one.

Start from 1, add 2 and multiply by 2 to previous one.

Question 6. 
Complete the pattern.
1 × 1= 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 =
11111 × 11111 =
111111 × 111111 =
1111111 × 1111111 =
Solution: 
Each time, we get 1 less fi total digits of L.H.S. and first ascenc and then descending order.
1111 × 1111 = 1234321
11111 × 11111 = 123454321
111111 × 111111 = 12345654321
1111111 × 1111111 = 1234567654

Question 7. 
Let’s play a game.
(1) Think of a number = ....................
(2) Add 5 to it = .................... + 5 =
(3) Multiply by 2 = x 2 = ....................
(4) Subtract 10 from it = .................... - 10 = ....................
(5) Divide it by 2 = .................... ÷ 2 = ....................
Is this the same number thought?
Solution:
Let we think number 25,
According to question, we will test.
(1) Let’s number. be = 25
(2) Add 5 = 25 + 5 = 30
(3) Multiply by 2 = 30 × 2 = 60
(4) Subtract 10 = 60 - 10 = 50
(5) Half it = 50 ÷ 2 = 25
Yes, this is the number which we had thought.

Question 8.
Understand the following patterns and fill in the blanks.

Solution: 
2 × 3 = , 
3 × 1 = , 
1 × 5 = ,
6 × 3 = ,
3 × 5 = ,
18 × 15 =

Question 9.
Fill in the blanks by doing addition instead of multiplication (as in above question).

Solution:

5 + 8 = 13,
8 + 7 =
7 + 6 =
13 + 15 = 28,
15 + 13 =
28 + 28 =

Question 10.
Let's have a look on December 2015 calendar and give the answer of following questions.

(1) Which pattern are you able to see in numbers of rectangular block. 
Extend it. 2, 9, 16, 23, 30,        
(2) Write sum of numbers, which lie on horizontal, vertical and diagonal line of square block.
Sum of horizontal numbers = 13 + 14 + 15 =
Sum of vertical numbers = 7 + 14 + 21 =
Sum of diagonal numbers = 6 + 14 + 22 =
Sum of diagonal numbers = 8 + 14 + 20 =

(3) Total of all 9 numbers in the square block = ............ + ............ + ............     
Is it equal to 9 × 14?
(4) Recognize the pattern of horizontal, vertical and both diagonal numbers of square block and extend them.
(5) Make square blocks of four x four. Recognize the pattern between horizontal, vertical and diagonal numbers of square block and extend it.
Solution: 
(1) In calendar, number in block under Wednesday is 7 more than previous one.
2, 9, 16, 23, 30
30 + 7, 30 + 7 + 7, 30 + 7 + 7 + 7,
30 + 7 + 7 + 7 + 7 
2, 9, 16, 23, 30, 37, 44, 51, 58, 65 

(2) Sum of horizontal numbers = 13 + 14 + 15 = 42
Sum of vertical numbers = 7 + 14 + 21 = 42
Sum of diagonal numbers = 6 + 14 + 22 = 42
Sum of diagonal numbers = 8 + 14 + 20 = 42 
(3) Total of all 9 numbers is the square box = 39 + 42 + 45 = 126
9 × 14 = 126
Yes, it is equal to 9 × 14.

(4) Diagonal numbers 13, 14, 15, ................
These becomes 1 more.
∴ 13, 14, 15, 16, 17, 18, 19
Vertical numbers 7, 14, 21, .................
Next numbers becomes 7 more than previous.
7, 14, 21, 28, 35,42,49, 56
First diagonal numbers 6, 14, 22, ...............
Next number becomes 8 more than previous one.
6, 14, 22, 30, 38, 46, 54, 62
Second diagonal numbers 8, 14, 20, ..............
Next number becomes 6 more than previous one.
8, 14, 20, 26, 32, 38, 44, 50

(5)

First diagonal numbers 9, 10, 11, 12, ............
becomes 1 more than previous number. 9, 10, 11 12, 13 14, 15, 16,
Second diagonal numbers 16, 17, 18, 19, ...............
becomes 1 more than previous one. 16, 17, 18, 19, 20, 21, 22, 23
First vertical numbers. 3, 10, 17, 24, ..................
becomes 7 more than previous one. 3, 10, 17, 24, 31, 38, 45, 52
Second vertical numbers. 4, 11, 18, 25, ...............
becomes 7 more than previous one 4, 11, 18, 25, 32, 39, 46, 53, 60
First diagonal numbers. 2, 10, 18, 26, ...............
becomes 8 more than previous one. 2, 10, 18, 26, 34, 42, 50, 58, 66
Second diagonal numbers 5, 11, 17, 23, ..............
becomes 6 more than previous one. 5, 11, 17, 23, 29, 35,41,47

Exercise:

Question 1. 
Understand the following patterns and complete them.

Solution: 
Following patterns is in alternate order.

Following patterns rotate at 90°  clockwise direction each time.

In the following pattern, each figure move towards corner is clockwise direction and triangle also rotate at 90° in clockwise direction each time.

 

Question 2. 
Complete the series.
(i) 7, 12, 17, 22, ............., .............
(ii) 10, 20, 30, 40 ............., .............
(iii) 29, 24, 19, 14 ............., .............
Solution:
(i) In this pattern, number exceeds the previous by 5 - 7, 12, 17, 22, 27, 32
(ii) In this pattern, number exceeds the previous by 10 - 10, 20, 30, 40, 50, 60
(iii) In this pattern, number decreased the previous by 5 - 29, 24, 19, 14, 9, 4

Question 3. 
Identify patterns and fill in the blanks.

Solution:

1 × 2 = 2, 
3 × 4 = 12,
2 × 3 = 6,
2 × 6 = 12,
6 × 12 = 72, 
12 × 72 = 784

(ii)

7 + 8 = 15,
9 + 10 = 19,
8 + 9 = 17,
15 + 17 = 32,
17 + 19 = 36
32 + 36 = 68

 

Important Questions:

Multiple Choice Questions:

Question 1. 
Next figure in given pattern wil

Solution:

Question 2. 
Next figure of this pattern will be:

Solution:

 

Question 3. 
Next figure of given pattern will be:

Solution:

Question 4. 
Next figure of given pattern will be:

(a)

(b)

(c)

(d) None
Solution:
(d) None

Question 5. 
Figure in blank space will be:

(a)  

(b)

(c)

(d) None
Solution:
(b)

Question 6.
Number in the blank box will be:
(a) 10, 14    
(b) 14, 18
(c) 7, 10    
(d) 9, 13
Solution:
(a) 10, 14    

Question 7.    
Next term of 3, 5, 7, 9 will be :
(a) 13    
(b) 12    
(c) 10    
(d) 11
Solution:
(d) 11

Question 8.    
Next term of 1, 5, 9, 13, 17 will be:
(a) 20    
(b) 21    
(c) 22    
(d) 23
Solution:
(b) 21    

Question 9.    
Next term of 2, 7, 12, 17, 22 will be :
(a) 27    
(b) 28    
(c) 29    
(d) 30
Solution:
(a) 27    

Short Answer Type Questions:
 
Question  1. 
Complete the following pattern. 

Solution:

                
Question 2. 
Complete the following pattern.

Solution: 
Completing the pattern,

Question 3. 
In this figure which pattern of Sari shoing?
Solution: 

Here, stars are shown at equal distance.

 

Question 4. 
To make your favourite pattern on the border of the sari, students should make three patterns in their copy and show it to their teacher.
Solution.

Question 5. 
Complete the following pattern.

Solution: 
For completing the given pattern:

Question 6. 
Fill in the blanks in following figure.

Solution: 

Question 7.
Complete the following pattern.

Solution:

 
 
Question 8. 
See the different patterns of following numbers and move forward.
1 + 3 = 4 = 2 × 2
1 + 3 + 5 = 9 = 3 × 3
1 + 3 + 5 + 7 = 16 = 4 × 4
l + 3 + 5 + 7 + 9 = ___ = 5 × 5

Solution:
1 + 3 + 5 + 7 + 9 = = 5 × 5 
1 + 3 + 5 + 7 + 9 + 11 = = 6 × 6 
1 + 3 + 5 + 7 + 9 + 11 + 13 = = 7 × 7

Question 9. 
In the given calender, by seeing the box, find.

(i) Which number is in mid of the box?
(ii) Draw a line which passes through this numbers and meets three numbers at a line.
(iii) In this way how many lines you can draw?
(iv) Add the 3 - 3 numbers, falling on all these lines.
Solution: 

(i) In calendar, mid of the box, number is 10.
(ii) Required line is shown in adjoining figure.
(iii) In this way, we can draw four lines, one line join 3 numbers. 9, 10 and 11.
And other line joins 3, 10 and 17 and third line joins 2, 10 and 18, fourth line joins 4, 10 and 16.
(iv) By adding 3-3 numbers, we see that
3 + 10 + 17 = 30 
9 + 10 + 11 = 30
4 + 10 + 16 = 30 
2 + 10 + 18 = 30
We see that all sums are equal.