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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 500 · 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. 1.1202² =
  2. 2.552² =
  3. 3.3451² =
  4. 4.615² =
  5. 5.429² =
  6. 6.351² =
  7. 7.456² =
  8. 8.9676² =
  9. 9.7081² =
  10. 10.2079² =
  11. 11.168² =
  12. 12.168² =
  13. 13.847² =
  14. 14.656² =
  15. 15.483² =
  16. 16.9779² =
  17. 17.7880² =
  18. 18.943² =
  19. 19.9627² =
  20. 20.478² =
  21. 21.978² =
  22. 22.827² =
  23. 23.178² =
  24. 24.8214² =
  25. 25.143² =
  26. 26.720² =
  27. 27.800² =
  28. 28.8666² =
  29. 29.301² =
  30. 30.1202² =
  31. 31.998² =
  32. 32.266² =
  33. 33.2935² =
  34. 34.121² =
  35. 35.5937² =
  36. 36.7082² =
  37. 37.501² =
  38. 38.469² =
  39. 39.189² =
  40. 40.342² =

Answer key

  1. 1444804
  2. 304704
  3. 11909401
  4. 378225
  5. 184041
  6. 123201
  7. 207936
  8. 93624976
  9. 50140561
  10. 4322241
  11. 28224
  12. 28224
  13. 717409
  14. 430336
  15. 233289
  16. 95628841
  17. 62094400
  18. 889249
  19. 92679129
  20. 228484
  21. 956484
  22. 683929
  23. 31684
  24. 67469796
  25. 20449
  26. 518400
  27. 640000
  28. 75099556
  29. 90601
  30. 1444804
  31. 996004
  32. 70756
  33. 8614225
  34. 14641
  35. 35247969
  36. 50154724
  37. 251001
  38. 219961
  39. 35721
  40. 116964

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