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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 575 · 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. 1.997² =
  2. 2.815² =
  3. 3.4113² =
  4. 4.546² =
  5. 5.981² =
  6. 6.930² =
  7. 7.313² =
  8. 8.7763² =
  9. 9.9555² =
  10. 10.272² =
  11. 11.369² =
  12. 12.355² =
  13. 13.930² =
  14. 14.504² =
  15. 15.5334² =
  16. 16.656² =
  17. 17.113² =
  18. 18.846² =
  19. 19.4345² =
  20. 20.466² =
  21. 21.429² =
  22. 22.769² =
  23. 23.3696² =
  24. 24.638² =
  25. 25.2060² =
  26. 26.821² =
  27. 27.539² =
  28. 28.217² =
  29. 29.418² =
  30. 30.793² =
  31. 31.7294² =
  32. 32.4667² =
  33. 33.384² =
  34. 34.8300² =
  35. 35.6201² =
  36. 36.9174² =
  37. 37.3329² =
  38. 38.7903² =
  39. 39.796² =
  40. 40.200² =

Answer key

  1. 994009
  2. 664225
  3. 16916769
  4. 298116
  5. 962361
  6. 864900
  7. 97969
  8. 60264169
  9. 91298025
  10. 73984
  11. 136161
  12. 126025
  13. 864900
  14. 254016
  15. 28451556
  16. 430336
  17. 12769
  18. 715716
  19. 18879025
  20. 217156
  21. 184041
  22. 591361
  23. 13660416
  24. 407044
  25. 4243600
  26. 674041
  27. 290521
  28. 47089
  29. 174724
  30. 628849
  31. 53202436
  32. 21780889
  33. 147456
  34. 68890000
  35. 38452401
  36. 84162276
  37. 11082241
  38. 62457409
  39. 633616
  40. 40000

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