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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 706 · 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. 1.7938² =
  2. 2.321² =
  3. 3.682² =
  4. 4.799² =
  5. 5.8026² =
  6. 6.193² =
  7. 7.368² =
  8. 8.9084² =
  9. 9.968² =
  10. 10.745² =
  11. 11.964² =
  12. 12.963² =
  13. 13.261² =
  14. 14.806² =
  15. 15.278² =
  16. 16.308² =
  17. 17.3956² =
  18. 18.350² =
  19. 19.6306² =
  20. 20.404² =
  21. 21.5566² =
  22. 22.632² =
  23. 23.8709² =
  24. 24.4374² =
  25. 25.4395² =
  26. 26.1944² =
  27. 27.3281² =
  28. 28.1050² =
  29. 29.807² =
  30. 30.6986² =
  31. 31.9979² =
  32. 32.201² =
  33. 33.192² =
  34. 34.196² =
  35. 35.437² =
  36. 36.9821² =
  37. 37.850² =
  38. 38.606² =
  39. 39.990² =
  40. 40.733² =

Answer key

  1. 63011844
  2. 103041
  3. 465124
  4. 638401
  5. 64416676
  6. 37249
  7. 135424
  8. 82519056
  9. 937024
  10. 555025
  11. 929296
  12. 927369
  13. 68121
  14. 649636
  15. 77284
  16. 94864
  17. 15649936
  18. 122500
  19. 39765636
  20. 163216
  21. 30980356
  22. 399424
  23. 75846681
  24. 19131876
  25. 19316025
  26. 3779136
  27. 10764961
  28. 1102500
  29. 651249
  30. 48804196
  31. 99580441
  32. 40401
  33. 36864
  34. 38416
  35. 190969
  36. 96452041
  37. 722500
  38. 367236
  39. 980100
  40. 537289

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