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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 47 · 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. 1.6775² =
  2. 2.297² =
  3. 3.6070² =
  4. 4.222² =
  5. 5.8165² =
  6. 6.572² =
  7. 7.360² =
  8. 8.386² =
  9. 9.1922² =
  10. 10.696² =
  11. 11.257² =
  12. 12.8614² =
  13. 13.733² =
  14. 14.785² =
  15. 15.631² =
  16. 16.269² =
  17. 17.679² =
  18. 18.5099² =
  19. 19.2041² =
  20. 20.292² =
  21. 21.631² =
  22. 22.343² =
  23. 23.9649² =
  24. 24.3237² =
  25. 25.5389² =
  26. 26.922² =
  27. 27.480² =
  28. 28.269² =
  29. 29.420² =
  30. 30.265² =
  31. 31.8495² =
  32. 32.162² =
  33. 33.8478² =
  34. 34.850² =
  35. 35.800² =
  36. 36.922² =
  37. 37.9883² =
  38. 38.284² =
  39. 39.233² =
  40. 40.6323² =

Answer key

  1. 45900625
  2. 88209
  3. 36844900
  4. 49284
  5. 66667225
  6. 327184
  7. 129600
  8. 148996
  9. 3694084
  10. 484416
  11. 66049
  12. 74200996
  13. 537289
  14. 616225
  15. 398161
  16. 72361
  17. 461041
  18. 25999801
  19. 4165681
  20. 85264
  21. 398161
  22. 117649
  23. 93103201
  24. 10478169
  25. 29041321
  26. 850084
  27. 230400
  28. 72361
  29. 176400
  30. 70225
  31. 72165025
  32. 26244
  33. 71876484
  34. 722500
  35. 640000
  36. 850084
  37. 97673689
  38. 80656
  39. 54289
  40. 39980329

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