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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 102 · 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. 1.815² =
  2. 2.9624² =
  3. 3.7028² =
  4. 4.385² =
  5. 5.574² =
  6. 6.196² =
  7. 7.299² =
  8. 8.988² =
  9. 9.135² =
  10. 10.206² =
  11. 11.7820² =
  12. 12.534² =
  13. 13.115² =
  14. 14.724² =
  15. 15.9320² =
  16. 16.840² =
  17. 17.851² =
  18. 18.334² =
  19. 19.805² =
  20. 20.363² =
  21. 21.9238² =
  22. 22.114² =
  23. 23.429² =
  24. 24.423² =
  25. 25.443² =
  26. 26.237² =
  27. 27.264² =
  28. 28.104² =
  29. 29.212² =
  30. 30.200² =
  31. 31.191² =
  32. 32.359² =
  33. 33.1375² =
  34. 34.304² =
  35. 35.799² =
  36. 36.271² =
  37. 37.2029² =
  38. 38.223² =
  39. 39.644² =
  40. 40.750² =

Answer key

  1. 664225
  2. 92621376
  3. 49392784
  4. 148225
  5. 329476
  6. 38416
  7. 89401
  8. 976144
  9. 18225
  10. 42436
  11. 61152400
  12. 285156
  13. 13225
  14. 524176
  15. 86862400
  16. 705600
  17. 724201
  18. 111556
  19. 648025
  20. 131769
  21. 85340644
  22. 12996
  23. 184041
  24. 178929
  25. 196249
  26. 56169
  27. 69696
  28. 10816
  29. 44944
  30. 40000
  31. 36481
  32. 128881
  33. 1890625
  34. 92416
  35. 638401
  36. 73441
  37. 4116841
  38. 49729
  39. 414736
  40. 562500

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