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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 28 · 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. 1.6931² =
  2. 2.870² =
  3. 3.346² =
  4. 4.4337² =
  5. 5.6093² =
  6. 6.143² =
  7. 7.1265² =
  8. 8.370² =
  9. 9.925² =
  10. 10.128² =
  11. 11.459² =
  12. 12.492² =
  13. 13.640² =
  14. 14.201² =
  15. 15.662² =
  16. 16.406² =
  17. 17.4705² =
  18. 18.234² =
  19. 19.7458² =
  20. 20.5912² =
  21. 21.7540² =
  22. 22.160² =
  23. 23.1163² =
  24. 24.5249² =
  25. 25.217² =
  26. 26.2862² =
  27. 27.618² =
  28. 28.112² =
  29. 29.385² =
  30. 30.2606² =
  31. 31.4312² =
  32. 32.2649² =
  33. 33.181² =
  34. 34.903² =
  35. 35.614² =
  36. 36.889² =
  37. 37.1643² =
  38. 38.483² =
  39. 39.3216² =
  40. 40.305² =

Answer key

  1. 48038761
  2. 756900
  3. 119716
  4. 18809569
  5. 37124649
  6. 20449
  7. 1600225
  8. 136900
  9. 855625
  10. 16384
  11. 210681
  12. 242064
  13. 409600
  14. 40401
  15. 438244
  16. 164836
  17. 22137025
  18. 54756
  19. 55621764
  20. 34951744
  21. 56851600
  22. 25600
  23. 1352569
  24. 27552001
  25. 47089
  26. 8191044
  27. 381924
  28. 12544
  29. 148225
  30. 6791236
  31. 18593344
  32. 7017201
  33. 32761
  34. 815409
  35. 376996
  36. 790321
  37. 2699449
  38. 233289
  39. 10342656
  40. 93025

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