Home | | Maths 7th Std | Exercise 5.3

Questions with Answers, Solution | Information Processing | Term 2 Chapter 5 | 7th Maths - Exercise 5.3 | 7th Maths : Term 2 Unit 5 : Information Processing

Chapter: 7th Maths : Term 2 Unit 5 : Information Processing

Exercise 5.3

7th Maths : Term 2 Unit 5 : Information Processing : Miscellaneous Practice problems, Challenge Problems, Text Book Back Exercises Questions with Answers, Solution

Exercise 5.3

 

Miscellaneous Practice problems

 

1. Choose the correct relationship between x and y from the given table.


(i) y = x+4

(ii) y = x + 5

(iii) y = x + 6

(iv) y = x + 7

Answer: (iii) y = x + 6

 

2. Find the trianglular numbers from the Pascal’s Triangle and colour them.


Solution: 


 

3. Write the first five numbers in the third slanting row of the Pascal’s Triangle and find their squares. What do you infer?

Solution: 

The first five numbers in the third slanting rows are 1, 3, 6,10,15 .

Their squares 1, 9, 36,100, 225.

 

Challenge Problems

 

4. Tabulate and find the relationship between the variables (x and y) for the following patterns.


Solution: 


The relationship between x and y is,

y = x2


The relationship between x and y is,

y = 2x – l

 

5. Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.


Solution: 

i) 1 × 13 × 66 = 858

 11 × 1 × 78 = 858

1 × 13 × 66 = 11 × 1 × 78

ii) 5 × 21 × 20 = 2100

10 × 8 × 35 = 2100

5 × 21 × 20 = 10 × 6 × 35

iii) 8 × 45 × 84 = 30240

28 × 9 × 120 = 30240

8 × 45 × 84 = 28 × 9 × 120

iv) 56 × 210 × 126 = 1481760

70 × 84 × 252 = 1481760

56 × 210 × 126 = 70 × 84 × 252

These hexagonal shapes form a part of the Pascal's Triangle. 

 

ANSWERS:

Exercise 5.3

1. (iii) y = x + 6

2. 

3. Five numbers in third slanting rows are 1, 3, 6, 10, 15 ; Their squares are 1, 9, 36, 100, 225.

Challenge Problems

4. (i) steps (x) 1 2 3 4

   shapes (y) 1 4 9 16

   (ii) steps (x) 1 2 3 4 5

    shapes (y) 1 3 5 7 9

 5. (i) 1 × 13 × 66 = 11 × 1 × 78

    (ii) 5 × 21 × 20 = 10 × 6 × 35

    (iii) 8 × 45 × 84 = 28 × 9 × 120

     (iv) 56 × 210 × 126 = 70 × 84 × 252

 

ICT Corner

Expected Result is shown in this picture


Step-1 :

Open the Browser type the URL Link given below (or) Scan the QR Code. GeoGebra work sheet named “Information and Processing” will open. There are two activities named “Pascal Triangle” and “ Sequence pattern-Learn by fun”

Step-2 :

1. In pascal triangle move the slider to scroll over each row and check the row total. 2. In sequence pattern move each slider a, n and i to generate the pattern.


Browse in the link

Information Processing : https://www.geogebra.org/m/f4w7csup#material/benwdadh or Scan the QR Code.


Tags : Questions with Answers, Solution | Information Processing | Term 2 Chapter 5 | 7th Maths , 7th Maths : Term 2 Unit 5 : Information Processing
Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
7th Maths : Term 2 Unit 5 : Information Processing : Exercise 5.3 | Questions with Answers, Solution | Information Processing | Term 2 Chapter 5 | 7th Maths


Privacy Policy, Terms and Conditions, DMCA Policy and Compliant

Copyright © 2018-2023 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.