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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 178 · 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. 1.155² =
  2. 2.596² =
  3. 3.553² =
  4. 4.870² =
  5. 5.3895² =
  6. 6.325² =
  7. 7.189² =
  8. 8.434² =
  9. 9.361² =
  10. 10.1934² =
  11. 11.2710² =
  12. 12.6703² =
  13. 13.456² =
  14. 14.3924² =
  15. 15.612² =
  16. 16.606² =
  17. 17.689² =
  18. 18.9920² =
  19. 19.573² =
  20. 20.2829² =
  21. 21.3910² =
  22. 22.499² =
  23. 23.875² =
  24. 24.461² =
  25. 25.411² =
  26. 26.596² =
  27. 27.6222² =
  28. 28.182² =
  29. 29.5614² =
  30. 30.612² =
  31. 31.517² =
  32. 32.366² =
  33. 33.2391² =
  34. 34.5651² =
  35. 35.433² =
  36. 36.914² =
  37. 37.550² =
  38. 38.293² =
  39. 39.697² =
  40. 40.3351² =

Answer key

  1. 24025
  2. 355216
  3. 305809
  4. 756900
  5. 15171025
  6. 105625
  7. 35721
  8. 188356
  9. 130321
  10. 3740356
  11. 7344100
  12. 44930209
  13. 207936
  14. 15397776
  15. 374544
  16. 367236
  17. 474721
  18. 98406400
  19. 328329
  20. 8003241
  21. 15288100
  22. 249001
  23. 765625
  24. 212521
  25. 168921
  26. 355216
  27. 38713284
  28. 33124
  29. 31516996
  30. 374544
  31. 267289
  32. 133956
  33. 5716881
  34. 31933801
  35. 187489
  36. 835396
  37. 302500
  38. 85849
  39. 485809
  40. 11229201

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