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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 456 · 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. 1.6346² =
  2. 2.748² =
  3. 3.1358² =
  4. 4.255² =
  5. 5.544² =
  6. 6.1650² =
  7. 7.240² =
  8. 8.2294² =
  9. 9.534² =
  10. 10.652² =
  11. 11.390² =
  12. 12.225² =
  13. 13.537² =
  14. 14.357² =
  15. 15.5453² =
  16. 16.895² =
  17. 17.144² =
  18. 18.2628² =
  19. 19.9001² =
  20. 20.598² =
  21. 21.4919² =
  22. 22.2541² =
  23. 23.578² =
  24. 24.236² =
  25. 25.927² =
  26. 26.920² =
  27. 27.4838² =
  28. 28.580² =
  29. 29.9355² =
  30. 30.936² =
  31. 31.823² =
  32. 32.766² =
  33. 33.5695² =
  34. 34.3624² =
  35. 35.3595² =
  36. 36.288² =
  37. 37.614² =
  38. 38.2081² =
  39. 39.2052² =
  40. 40.855² =

Answer key

  1. 40271716
  2. 559504
  3. 1844164
  4. 65025
  5. 295936
  6. 2722500
  7. 57600
  8. 5262436
  9. 285156
  10. 425104
  11. 152100
  12. 50625
  13. 288369
  14. 127449
  15. 29735209
  16. 801025
  17. 20736
  18. 6906384
  19. 81018001
  20. 357604
  21. 24196561
  22. 6456681
  23. 334084
  24. 55696
  25. 859329
  26. 846400
  27. 23406244
  28. 336400
  29. 87516025
  30. 876096
  31. 677329
  32. 586756
  33. 32433025
  34. 13133376
  35. 12924025
  36. 82944
  37. 376996
  38. 4330561
  39. 4210704
  40. 731025

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