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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 748 · 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. 1.412² =
  2. 2.171² =
  3. 3.5446² =
  4. 4.4475² =
  5. 5.964² =
  6. 6.6355² =
  7. 7.2605² =
  8. 8.700² =
  9. 9.889² =
  10. 10.709² =
  11. 11.237² =
  12. 12.6917² =
  13. 13.2787² =
  14. 14.900² =
  15. 15.353² =
  16. 16.747² =
  17. 17.6828² =
  18. 18.3349² =
  19. 19.481² =
  20. 20.909² =
  21. 21.8542² =
  22. 22.591² =
  23. 23.532² =
  24. 24.359² =
  25. 25.2743² =
  26. 26.4867² =
  27. 27.294² =
  28. 28.1381² =
  29. 29.136² =
  30. 30.948² =
  31. 31.430² =
  32. 32.488² =
  33. 33.836² =
  34. 34.794² =
  35. 35.652² =
  36. 36.523² =
  37. 37.270² =
  38. 38.105² =
  39. 39.2249² =
  40. 40.560² =

Answer key

  1. 169744
  2. 29241
  3. 29658916
  4. 20025625
  5. 929296
  6. 40386025
  7. 6786025
  8. 490000
  9. 790321
  10. 502681
  11. 56169
  12. 47844889
  13. 7767369
  14. 810000
  15. 124609
  16. 558009
  17. 46621584
  18. 11215801
  19. 231361
  20. 826281
  21. 72965764
  22. 349281
  23. 283024
  24. 128881
  25. 7524049
  26. 23687689
  27. 86436
  28. 1907161
  29. 18496
  30. 898704
  31. 184900
  32. 238144
  33. 698896
  34. 630436
  35. 425104
  36. 273529
  37. 72900
  38. 11025
  39. 5058001
  40. 313600

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