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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 125 · 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. 1.4180² =
  2. 2.2128² =
  3. 3.2015² =
  4. 4.6154² =
  5. 5.604² =
  6. 6.7475² =
  7. 7.115² =
  8. 8.416² =
  9. 9.617² =
  10. 10.984² =
  11. 11.266² =
  12. 12.259² =
  13. 13.856² =
  14. 14.550² =
  15. 15.6716² =
  16. 16.652² =
  17. 17.799² =
  18. 18.889² =
  19. 19.683² =
  20. 20.806² =
  21. 21.181² =
  22. 22.143² =
  23. 23.421² =
  24. 24.410² =
  25. 25.824² =
  26. 26.995² =
  27. 27.983² =
  28. 28.964² =
  29. 29.795² =
  30. 30.765² =
  31. 31.769² =
  32. 32.3460² =
  33. 33.5694² =
  34. 34.380² =
  35. 35.4352² =
  36. 36.928² =
  37. 37.902² =
  38. 38.1320² =
  39. 39.2663² =
  40. 40.191² =

Answer key

  1. 17472400
  2. 4528384
  3. 4060225
  4. 37871716
  5. 364816
  6. 55875625
  7. 13225
  8. 173056
  9. 380689
  10. 968256
  11. 70756
  12. 67081
  13. 732736
  14. 302500
  15. 45104656
  16. 425104
  17. 638401
  18. 790321
  19. 466489
  20. 649636
  21. 32761
  22. 20449
  23. 177241
  24. 168100
  25. 678976
  26. 990025
  27. 966289
  28. 929296
  29. 632025
  30. 585225
  31. 591361
  32. 11971600
  33. 32421636
  34. 144400
  35. 18939904
  36. 861184
  37. 813604
  38. 1742400
  39. 7091569
  40. 36481

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