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
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.
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