RBSE Solutions for Class 5 Maths Chapter 8 Patterns In Text Exercise

RBSE Solutions for Class 5 Maths Chapter 8 Patterns In Text Exercise is part of RBSE Solutions for Class 5 Maths. Here we have given Rajasthan Board RBSE Class 5 Maths Chapter 8 Patterns In Text Exercise.

Board	RBSE
Textbook	SIERT, Rajasthan
Class	Class 5
Subject	Maths
Chapter	Chapter 8
Chapter Name	Patterns
Exercise	In Text Exercise
Number of Questions	11
Category	RBSE Solutions

Rajasthan Board RBSE Class 5 Maths Chapter 8 Patterns In Text Exercise

Page No. 39

Question 1.
Proceed the given pattern

Solution:

Question 2.
Recognize the pattern and proceed further.

Solution:
Above pattern can be proceed like given below-

You also make your own pattern-

Solution:
Based on above, following pattern can be formed-

Page No. 40

Question 1.
Complete the pattern
1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = ………………..
11111 × 11111 = ………………..
11111! × 111111 = ………………..
1111111 × 1111111 = ………………..
Solution.
Above pattern is like given below
1 × 1 = 1
11 × = 121
111 × = 12321
1111 × 1111 = 1234321
11111 × 11111 = 123454321
111111 × 111111 = 12345654321
1111111 × 1111111 = 1234567654321

Question 2.
1. Think of a number =
2. Add 5 to it = + 5 =
3. Multiply by 2 = × 2 =
4. Subtract 10 from it = – 10 =
5. Now divide it by 2 = ÷ 2 =
6. Is this the same(RBSESolutions.com)number you thought of ?
Solution.
1. Let this number is = 4
2. On adding 5 = 4 + 5 = 9
3. On multiplying by 2 = 9 × 2 = 18 .
4. On subtracting 10 from it =18 – 10 = 8
5. On dividing itby2 = 8 ÷ 2 = 4
6. This is the number we thought of.

Question 3.
Understand the following patterns and fill in the blanks.

Solution:

Question 4.
Similarly, fill in the blanks(RBSESolutions.com)by doing addition instead of multiplication.

Solution.

Page No. 41

Let’s have a look on(RBSESolutions.com)December 2015 calendar

Question 1.
Which pattern are you able to see in numbers of rectangular block. Extend it 2, 9, 16, 23, 30, ………………
Solution.
A pattern of difference 7 is see between the numbers written(RBSESolutions.com)in the block below Wednesday of calendar. Therefore. Succeding number is comes on adding 7 to its preceding number.
2, 9, 16, 23, 30,
30 + 7 = 37, 37 + 7 = 44, 44 + 7 = 51, 51 + 7 = 58 ……………
Therefore, 2, 9, 16, 23,30, 37, 44, 51, 58,….

Question 2.
Write sum of numbers, which lie on horizontal, vertical and diagonal line of square block.
(i) Sum of horizontal numbers = 13 + 14 + 15 =
(ii) Sum of vertical numbers = 7 + 14 + 21 =
(iii) Sum of diagonal numbers= 6 + 14 + 22 =
(iv) Sum of diagonal numbers= 8 + 14 + 20 =
Solution:
(i) Sum of horizontal numbers =
= 13 + 14 + 15 = 42
(ii) Sum of vertical numbers =
= 7 + 14 + 21 = 42
(iii) Sum of diagonal numbers =
= 6 + 14 + 22 = 42
(iv) Sum of diagonal numbers =
= 8+14 + 20 = 42

Question 3.
Total of all 9 numbers(RBSESolutions.com)in the square block = …………… + …………… + …………… + …………… is it equal to 9 × 14 ?
Solution:
6 + 7 + 8 + 13 + 14 + 15 + 20 + 21 + 22 =126
Yes, this sum is equal to 9 × 14 = 126

Question 4.
Recognize the pattern of horizontal, vertical and both diagonal numbers of square block and extend them.
Solution.
(i) Horizontal numbers 13, 14, 15 are in above square block which are obtained by adding 1 to each number. Therefore, pattern of these are as follows-
13, 14, 15, 16, 17, 18, 19, 20, ………..
(ii) Vertical numbers 7, 14, 21 are in above square block which are multiple of 7 or ob-tained by adding 7 to each number. Therefore, pattern of these are as follows-
7, 14, 21, 28, 35, 42^49, 56, ………..
(iii) First diagonal numbers 6.14 and 22 are in above(RBSESolutions.com)block which are obtained by adding 8 to each number. Therefore, pattern of these are as follows-
6. 14, 22, 30, 38, 46, 54, 62,
(iv) Second diagonal numbers 8,14 and 20 in above block which are obtained by adding 6 to each number. Therefore pattern of these are as follows
8, 14, 20, 26, 32, 38, 44, 50, 56,

Question 5.
Make square blocks of Four × Four. Recognize the(RBSESolutions.com)pattern between horizontal, vertical and diagonal numbers of square block and extend it.
Solution.
Block of 4 × 4 numbers is as follows-

(i) Two patterns of horizontal numbers are there in above 4 × 4 block which is obtained by adding 1 to each number. Therefore pattern of these are as follows-
(a) 9, 10, 11, 12, 13, 14, 15, 16, ……….
(b) 16, 17, 18, 19, 20, 21, 22, 23, ……….
(ii) Two patterns of vertical numbers are(RBSESolutions.com)there in above 4 × 4 block which is obtained by adding 7 to each number. Therefore pattern of these are as follows-
(a) 3, 10, 17, 24, 31, 38, 45, 52, 59, 66, ……….
(b) 4, 11, 18, 25, 32, 39,’ 46, 53, 60, 67, ……….
(iii) First diagonal numbers in above 4 × 4 block are 2, 10, 18, 26. Which are(RBSESolutions.com)obtained by adding 8 to each number. Therefore, pat-tern of these are as follows-
2, 10, 18, 26, 34, 42, 50, 58, ……….
(iv) Second diagonal numbers in above 4 × 4 block are 5, 11, 17, 23. Which are obtained by adding 6 to each number. Therefore, pattern of these are as follows-
5, 11, 17, 23, 29, 35, 41, 47, 53, ……….

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