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 = x^{2}

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

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