Number Play Class 7 Maths Chapter 6 Generalising a 3 x 3 Magic Square Figure It Out 1-5 Pg 136-137
Maths with Vinita Mam
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Number Play Class 7 Maths Chapter 6 Generalising a 3 x 3 Magic Square Figure It Out 1-5 Pg 136-137
85 просмотров · 5 дней назад
Maths with Vinita Mam
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85 просмотров · 5 дней назад
In this video, Maths with Vinita Mam explains Class 7th Maths Ganita Prakash Chapter 6 Number Play Pages 136 and 137 on Generalising a 3 x 3 Magic Square using algebra and solving Figure It Out Questions 1 to 5 step-by-step.
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Topics and Questions Solved:
Class 7th Maths Ganita Prakash Chapter 6 Number Play Pages 136-137:
1. Concept of Generalising a 3 x 3 Magic Square:
Representing the central number as variable m.
Expressing all other 8 cells in terms of m (like m minus 4, m plus 4, m minus 1, m plus 1, etc.).
Deriving the algebraic structure of the 3 x 3 magic square grid.
2. Figure It Out Questions Solved (Pages 136-137):
Question 1: Finding a magic square when the centre number m is 25 (Magic sum equals 75).
Question 2: Algebraic expression obtained by adding the 3 terms of any row, column, or diagonal (Expression equals 3m).
Question 3:
(a) Adding 1 to every term in generalised form (New magic sum becomes 3m plus 3).
(b) Doubling every term in generalised form (New magic sum becomes 6m).
Question 4: Creating a magic square whose magic sum is 60 (Centre number m equals 20).
Question 5: Is it possible to get a magic square using non-consecutive numbers? (Yes, using arithmetic progressions like odd numbers, even numbers, or multiples).
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