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Question 3 - Playing with Digits - Chapter 3 Class 6 - Number Play (Ganita Prakash)
Last updated at June 18, 2025 by Teachoo
Class 6 (Ganita Prakash & Old NCERT)
Chapter 3 Class 6 - Number Play (Ganita Prakash)
- Numbers can Tell us Things, Supercells,
- Supercells
- Supercells in a grid (Page 58)
- Patterns of Numbers on the Number Line, Playing with Digits
-
Playing with Digits
- Pretty Palindromic Patterns
- The Magic Number of Kaprekar
- Clock and Calendar Numbers
- Figure it out - Page 64, 65
- Mental Math
- Playing with Number Patterns, and Collatz Conjecture!
- Simple Estimation
- Estimate the answer - Page 70, 71
- Games and Winning Strategies
- Figure it out - Page 72, 73
- Teachoo Questions - MCQs
- Teachoo Questions - Mix
- Teachoo Questions - Assertion Reasoning
- Teachoo Questions - Case Based
Transcript
Question 3 Calculate the digit sums of 3-digit numbers whose digits are consecutive (for example, 345). Do you see a pattern? Will this pattern continue? Yes, there is a clear pattern. The Digit Sums: 123 → 1 + 2 + 3 = 6 234 → 2 + 3 + 4 = 9 345 → 3 + 4 + 5 = 12 456 → 4 + 5 + 6 = 15 567 → 5 + 6 + 7 = 18 678 → 6 + 7 + 8 = 21 789 → 7 + 8 + 9 = 24 The Pattern: The digit sum is always a multiple of 3. Specifically, the sum is always 3 times the middle digit. For example, in 345, the middle digit is 4, and the sum is 3 x 4 = 12. Will it Continue? The mathematical pattern (that the sum of three consecutive digits is 3 times the middle one) will always be true. However, you can no longer form 3-digit numbers with consecutive single digits after 789, as there is no digit after 9.
