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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 729 · 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. 1.801² =
  2. 2.328² =
  3. 3.587² =
  4. 4.449² =
  5. 5.111² =
  6. 6.3045² =
  7. 7.243² =
  8. 8.928² =
  9. 9.745² =
  10. 10.301² =
  11. 11.2321² =
  12. 12.878² =
  13. 13.945² =
  14. 14.6662² =
  15. 15.980² =
  16. 16.908² =
  17. 17.167² =
  18. 18.9951² =
  19. 19.266² =
  20. 20.566² =
  21. 21.1214² =
  22. 22.9023² =
  23. 23.516² =
  24. 24.769² =
  25. 25.6382² =
  26. 26.293² =
  27. 27.892² =
  28. 28.249² =
  29. 29.421² =
  30. 30.4580² =
  31. 31.484² =
  32. 32.703² =
  33. 33.791² =
  34. 34.265² =
  35. 35.2781² =
  36. 36.7292² =
  37. 37.134² =
  38. 38.741² =
  39. 39.507² =
  40. 40.323² =

Answer key

  1. 641601
  2. 107584
  3. 344569
  4. 201601
  5. 12321
  6. 9272025
  7. 59049
  8. 861184
  9. 555025
  10. 90601
  11. 5387041
  12. 770884
  13. 893025
  14. 44382244
  15. 960400
  16. 824464
  17. 27889
  18. 99022401
  19. 70756
  20. 320356
  21. 1473796
  22. 81414529
  23. 266256
  24. 591361
  25. 40729924
  26. 85849
  27. 795664
  28. 62001
  29. 177241
  30. 20976400
  31. 234256
  32. 494209
  33. 625681
  34. 70225
  35. 7733961
  36. 53173264
  37. 17956
  38. 549081
  39. 257049
  40. 104329

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