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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 66 · 40 sums
TalentJR

The trick (Dwandwa Yoga): For abc: columns D(a) | D(ab) | D(abc) | D(bc) | D(c). D(a) = a², D(ab) = 2ab, D(abc) = 2ac + b², D(abcd) = 2ad + 2bc. Combine from the right with carries.

NameDateTime takenScore ___ / 40
  1. 1.323² =
  2. 2.378² =
  3. 3.760² =
  4. 4.1334² =
  5. 5.4210² =
  6. 6.311² =
  7. 7.834² =
  8. 8.516² =
  9. 9.949² =
  10. 10.259² =
  11. 11.599² =
  12. 12.406² =
  13. 13.251² =
  14. 14.113² =
  15. 15.5663² =
  16. 16.275² =
  17. 17.3645² =
  18. 18.680² =
  19. 19.8647² =
  20. 20.6422² =
  21. 21.1984² =
  22. 22.782² =
  23. 23.791² =
  24. 24.845² =
  25. 25.425² =
  26. 26.5531² =
  27. 27.4359² =
  28. 28.9674² =
  29. 29.365² =
  30. 30.144² =
  31. 31.5312² =
  32. 32.553² =
  33. 33.352² =
  34. 34.5073² =
  35. 35.413² =
  36. 36.4964² =
  37. 37.3829² =
  38. 38.484² =
  39. 39.984² =
  40. 40.995² =

Answer key

  1. 104329
  2. 142884
  3. 577600
  4. 1779556
  5. 17724100
  6. 96721
  7. 695556
  8. 266256
  9. 900601
  10. 67081
  11. 358801
  12. 164836
  13. 63001
  14. 12769
  15. 32069569
  16. 75625
  17. 13286025
  18. 462400
  19. 74770609
  20. 41242084
  21. 3936256
  22. 611524
  23. 625681
  24. 714025
  25. 180625
  26. 30591961
  27. 19000881
  28. 93586276
  29. 133225
  30. 20736
  31. 28217344
  32. 305809
  33. 123904
  34. 25735329
  35. 170569
  36. 24641296
  37. 14661241
  38. 234256
  39. 968256
  40. 990025

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