Students can Download Maths Chapter 5 Information Processing Intext Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions

Activity (Text book Page No. 91)

Question 1.
Observe the pattern given below. Continue the pattern for three more steps.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 1
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 = 7x + 5.
Solution:
Three more patterns are
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 2
From the table y = 7x + 5 is verified.

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions

Try These (Text book Page No. 92)

Question 1.
In the given figure, let Y denote the number of steps and y denote its area. Find the relationship between x and y by tabulation.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 3
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 cm2
when x = 2 : Area = 22 = 4 cm2
whenx = 3 : Area = 32 = 9 cm2 and so on.
Tabulating the values of x and y
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 4
From the table:
x = 1 ⇒ y = 12
x = 2 ⇒ y = 22
x = 4 ⇒ y = 42
x = 5 ⇒ y = 52
Hence the relationship between x and y is y = x2

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions

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.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 5
Solution:
Let x denote the number of steps and y denote the number of matchsticks used.
In step 1, x = 1 ⇒ y = number of mathsticks used is 1
In step 2, x = 2 ⇒ y = number of mathsticks used is 4
In step 3, x = 3 ⇒ y = number of mathsticks used is 7 and so on.
The values of v andy are tabulated as
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 6
x = 1 ⇒ y = 1 = 3(1) – 2
x = 2 ⇒ y = 4 = 3(2) – 2
x = 3 ⇒ y = 7 = 3(3) – 2
x = 4 ⇒ y = 10 = 3(4) – 2
From the table y = 3x – 2

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions

Question 3.
Observe the table given below.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 7
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 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 y = 2x is the relation between x and y.

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions

Activity (Text book Page No. 93 & 94)

Question 1.
Complete the following Pascal’s Triangle by observing the number pattern.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 8
Solution:
Pascal’s triangle is given by
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 9

Question 2.
Observe the above completed and r find the sequence that you see in it and complete them.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 10
(i) 1,2, 3, 4, 5, 6, 7.
(ii) 1, 3, _____, _____, _____, _____.
(iii) 1, _____, _____, _____, _____,
(iv) _____, _____, _____, _____.
Solution:
(i) 1,2, 3, 4, 5, 6, 7.
(ii) 1,3,6,10,15,21.
(iii) 1,4,10,20,35.
(iv) 1,5,15,35.

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions

Question 3.
Observe the sequence of numbers obtained in the 3rd and 4th slanting rows of Pascal’s Triangle and find the difference between the consecutive numbers and complete the table given below.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 11
Solution:
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 12

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.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 13
Solution:
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 14

Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions

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.
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 15
Solution:
Samacheer Kalvi 7th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions 16
Common Properties:
The numbers filled by me are even numbers. Also they make triangular shape.
Yes, this pattern and the pattern given in situation 2 have the same properties.

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