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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 414 · 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. 1.418² =
  2. 2.7172² =
  3. 3.997² =
  4. 4.272² =
  5. 5.1615² =
  6. 6.986² =
  7. 7.939² =
  8. 8.2789² =
  9. 9.920² =
  10. 10.691² =
  11. 11.312² =
  12. 12.850² =
  13. 13.273² =
  14. 14.851² =
  15. 15.419² =
  16. 16.8210² =
  17. 17.1460² =
  18. 18.1935² =
  19. 19.150² =
  20. 20.5425² =
  21. 21.956² =
  22. 22.333² =
  23. 23.414² =
  24. 24.2199² =
  25. 25.516² =
  26. 26.805² =
  27. 27.752² =
  28. 28.205² =
  29. 29.5982² =
  30. 30.825² =
  31. 31.423² =
  32. 32.7543² =
  33. 33.347² =
  34. 34.923² =
  35. 35.147² =
  36. 36.255² =
  37. 37.8131² =
  38. 38.3067² =
  39. 39.4349² =
  40. 40.263² =

Answer key

  1. 174724
  2. 51437584
  3. 994009
  4. 73984
  5. 2608225
  6. 972196
  7. 881721
  8. 7778521
  9. 846400
  10. 477481
  11. 97344
  12. 722500
  13. 74529
  14. 724201
  15. 175561
  16. 67404100
  17. 2131600
  18. 3744225
  19. 22500
  20. 29430625
  21. 913936
  22. 110889
  23. 171396
  24. 4835601
  25. 266256
  26. 648025
  27. 565504
  28. 42025
  29. 35784324
  30. 680625
  31. 178929
  32. 56896849
  33. 120409
  34. 851929
  35. 21609
  36. 65025
  37. 66113161
  38. 9406489
  39. 18913801
  40. 69169

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