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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 335 · 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. 1.2041² =
  2. 2.865² =
  3. 3.4812² =
  4. 4.527² =
  5. 5.242² =
  6. 6.7009² =
  7. 7.543² =
  8. 8.542² =
  9. 9.174² =
  10. 10.7741² =
  11. 11.997² =
  12. 12.624² =
  13. 13.483² =
  14. 14.370² =
  15. 15.118² =
  16. 16.652² =
  17. 17.3065² =
  18. 18.800² =
  19. 19.1946² =
  20. 20.3176² =
  21. 21.319² =
  22. 22.736² =
  23. 23.2802² =
  24. 24.4758² =
  25. 25.581² =
  26. 26.9215² =
  27. 27.158² =
  28. 28.4479² =
  29. 29.5574² =
  30. 30.690² =
  31. 31.843² =
  32. 32.2974² =
  33. 33.344² =
  34. 34.2428² =
  35. 35.1578² =
  36. 36.124² =
  37. 37.3617² =
  38. 38.404² =
  39. 39.740² =
  40. 40.6460² =

Answer key

  1. 4165681
  2. 748225
  3. 23155344
  4. 277729
  5. 58564
  6. 49126081
  7. 294849
  8. 293764
  9. 30276
  10. 59923081
  11. 994009
  12. 389376
  13. 233289
  14. 136900
  15. 13924
  16. 425104
  17. 9394225
  18. 640000
  19. 3786916
  20. 10086976
  21. 101761
  22. 541696
  23. 7851204
  24. 22638564
  25. 337561
  26. 84916225
  27. 24964
  28. 20061441
  29. 31069476
  30. 476100
  31. 710649
  32. 8844676
  33. 118336
  34. 5895184
  35. 2490084
  36. 15376
  37. 13082689
  38. 163216
  39. 547600
  40. 41731600

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