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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 506 · 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. 1.567² =
  2. 2.630² =
  3. 3.6621² =
  4. 4.529² =
  5. 5.2282² =
  6. 6.501² =
  7. 7.461² =
  8. 8.8593² =
  9. 9.336² =
  10. 10.416² =
  11. 11.318² =
  12. 12.330² =
  13. 13.192² =
  14. 14.317² =
  15. 15.503² =
  16. 16.696² =
  17. 17.7927² =
  18. 18.762² =
  19. 19.9539² =
  20. 20.192² =
  21. 21.574² =
  22. 22.815² =
  23. 23.115² =
  24. 24.3965² =
  25. 25.699² =
  26. 26.927² =
  27. 27.809² =
  28. 28.9804² =
  29. 29.455² =
  30. 30.2289² =
  31. 31.201² =
  32. 32.226² =
  33. 33.473² =
  34. 34.7123² =
  35. 35.9350² =
  36. 36.1740² =
  37. 37.982² =
  38. 38.106² =
  39. 39.383² =
  40. 40.2600² =

Answer key

  1. 321489
  2. 396900
  3. 43837641
  4. 279841
  5. 5207524
  6. 251001
  7. 212521
  8. 73839649
  9. 112896
  10. 173056
  11. 101124
  12. 108900
  13. 36864
  14. 100489
  15. 253009
  16. 484416
  17. 62837329
  18. 580644
  19. 90992521
  20. 36864
  21. 329476
  22. 664225
  23. 13225
  24. 15721225
  25. 488601
  26. 859329
  27. 654481
  28. 96118416
  29. 207025
  30. 5239521
  31. 40401
  32. 51076
  33. 223729
  34. 50737129
  35. 87422500
  36. 3027600
  37. 964324
  38. 11236
  39. 146689
  40. 6760000

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