In Text Questions Try These (Text Book Page No.91, 92,96) - Chapter 5 Information Processing Term 2 7th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

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On April 24, 2024, 11:35 AM

Text Questions : Chapter 5 Information Processing Term 2 Class 7th std Maths Guide Samacheer Kalvi Solutions
Activity (Text book Page No. 91)
Question 1.
Observe the pattern given below. Continue the pattern for three more steps.

Let, ' $x$ ' be the number of steps and ' $y$ ' be the number of match sticks. Tabulate the values of ' $x$ ' and ' $y$ ' and verify the relationship $y=7 x+5$.
Solution:
Three more patterns are

Try These (Text book Page No. 92)
Question 1.
In the given figure, let $\mathrm{Y}$ denote the number of steps and $y$ denote its area. Find the relationship between $x$ and $y$ by tabulation.

Solution:
Let $x$ denote the number of steps and $y$ denote the area.
In the first shape let $x=1$ and the area be $1 \mathrm{~cm}^{2}$
when $x=2$ : Area $=22=4 \mathrm{~cm}^{2}$
when $x=3$ : Area $=32=9 \mathrm{~cm}^{2}$ and so on.
Tabulating the values of $x$ and $y$

From the table:
$\begin{aligned}
&x=1 \Rightarrow y=1^{2} \\
&x=2 \Rightarrow y=2^{2} \\
&x=4 \Rightarrow y=4^{2} \\
&x=5 \Rightarrow y=5^{2}
\end{aligned}$
Hence the relationship between $x$ and $y$ is $y=x^{2}$
 

Question 2.
In the figure, let $x$ denotes the number of steps and $y$ denotes the number of matchsticks used. Find the relationship between $Y$ and $y$ by tabulation.

Solution:
Let $x$ denote the number of steps and $y$ denote the number of matchsticks used.

In step $1, x=1 \Rightarrow y=$ number of mathsticks used is 1
In step $2, x=2 \Rightarrow y=$ number of mathsticks used is 4
In step $3, x=3 \Rightarrow y=$ number of mathsticks used is 7 and so on.
The values of $v$ andy are tabulated as

$\begin{aligned}
&x=1 \Rightarrow y=1=3(1)-2 \\
&x=2 \Rightarrow y=4=3(2)-2 \\
&x=3 \Rightarrow y=7=3(3)-2 \\
&x=4 \Rightarrow y=10=3(4)-2
\end{aligned}$
From the table $y=3 x-2$

Question $3 .$
Observe the table given below.

Find the relationship between $x$ and $y$. What will be the value of $y$, when $x=8$.
Solution:
Soil When $x=-2 y=2(-2)=-4$
When $x=-1 \quad y=2(-1)=-2$
When $x=0 y=2(0)=0$
When $x=1 y=2(1)=2$
When $x=2 y=2(2)=4$
When $x=8 y=2(8)=16$.
Also $\mathrm{y}=2 \mathrm{x}$ is the relation between $\mathrm{x}$ and $\mathrm{y}$.
 

Try These (Text book Page No. 96)
Question 1.
Observe the pattern of numbers given in the slanting rows earlier and complete the Pascal's Triangle.

Question $2 .$
Complete the given Pascal's Triangle. Find the common property of the numbers filled by you. Can you relate this pattern with the pattern discussed in situation 2. Discuss.