Samacheer Class 7 Maths - Information Processing Intext Questions
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Chapter-wise textbook exercise answers for Information Processing Intext Questions with step-by-step solutions.
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1Activity (Text book Page No. 91)3 questions
Q.1Observe 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 = 7x + 5.v
Answer:
Three more patterns areFrom the table y = 7x + 5 is verified.Try These (Text book Page No. 92)
2Activity (Text book Page No. 93 & 94)3 questions
Q.2Observe the above completed and r find the sequence that you see in it and complete them. (i) 1,2, 3, 4, 5, 6, 7. (ii) 1, 3, _____, _____, _____, _____. (iii) 1, _____, _____, _____, _____, (iv) _____, _____, _____, _____.v
Q.3Observe 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. v
Answer:
Try These (Text book Page No. 96)
Q.4Complete 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. v
Answer:
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. About Us Privacy Policy Disclaimer Contact Us
3Book Back Questions7 questions
Q.5Match the given patterns of shapes with the appropriate number pattern and its generalization. v
Answer:
(i) (d) (ii) (a) (iii) (c) (iv) (c) (v) (b) Objective Type Questions
Q.6The following hexagonal shapes are taken from Pascal’s Triangle. Fill in the missing numbers. v
Answer:
Q.7The elements along the sixth row of the Pascal’s Triangle is (i) 1,5,10,5,1 (ii) 1,5,5,1 (iii) 1,5,5,10,5,5,1 (iv) 1,5,10,10,5,1v
Answer:
(iv) 1,5,10,10,5,1
Q.8The difference between the consecutive terms of the fifth slanting row containing four elements of a Pascal’s Triangle is (i) 3,6,10,… (ii) 4,10,20,… (iii) 1,4,10,… (iv) 1,3,6,…v
Answer:
(ii) 4,10,20,…
Q.9What is the sum of the elements of ninth row in the Pascal’s Triangle? (i) 128 (ii) 254 (iii) 256 (iv) 126v
Answer:
(iii) 256 About Us Privacy Policy Disclaimer Contact Us
Q.10Write the first five numbers in the third slanting row of the Pascal’s Triangle and find their squares. What do you infer?v
Answer:
Numbers in the 3rd slanding row are 1, 3, 6, 10, 15, 21,…. The squares are 1 2 , 3 2 , 6 2 , 10 2 . 15 2 , 21 2 ,…. = 1, 9, 36, 100, 225, 441,…From the above table we can conclude that the squares of the triangular numbers are the sum of cubes of natural numbers.Challenge Problems
Q.11Tabulate and find the relationship between the variables (x and y) for the following patterns. v
Answer:
(i) Let the number of steps be x and the number of shapes be y. Tabulating the values of x and yFrom the table x = 1 ⇒ y = 1 = 12 x = 2 ⇒ y = 4 = 22 x = 3 ⇒ y = 9 = 32 x = 4 ⇒ y = 16 = 42 Hence the relationship between x and y is y = x2. (ii) Let the number of steps be x and the number of shapes be y. Tabulating the values of x and yFrom the table x = 1 ⇒ y = 1 = 1 x = 2 ⇒ y = 2 + 1 = 3 x = 3 ⇒ y = 3 + 2 = 5 x = 4 ⇒ y = 4 + 3 = 7 x = 5 ⇒ y = 5 + 4 = 9 Hence the relationship between x and y is y = 2x-1.