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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 708 · 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. 1.1407² =
  2. 2.2570² =
  3. 3.7065² =
  4. 4.4149² =
  5. 5.3003² =
  6. 6.394² =
  7. 7.3629² =
  8. 8.639² =
  9. 9.761² =
  10. 10.831² =
  11. 11.5898² =
  12. 12.311² =
  13. 13.571² =
  14. 14.515² =
  15. 15.260² =
  16. 16.1667² =
  17. 17.434² =
  18. 18.547² =
  19. 19.327² =
  20. 20.749² =
  21. 21.280² =
  22. 22.924² =
  23. 23.606² =
  24. 24.5934² =
  25. 25.397² =
  26. 26.201² =
  27. 27.9082² =
  28. 28.804² =
  29. 29.408² =
  30. 30.7877² =
  31. 31.519² =
  32. 32.373² =
  33. 33.624² =
  34. 34.490² =
  35. 35.462² =
  36. 36.169² =
  37. 37.114² =
  38. 38.722² =
  39. 39.254² =
  40. 40.729² =

Answer key

  1. 1979649
  2. 6604900
  3. 49914225
  4. 17214201
  5. 9018009
  6. 155236
  7. 13169641
  8. 408321
  9. 579121
  10. 690561
  11. 34786404
  12. 96721
  13. 326041
  14. 265225
  15. 67600
  16. 2778889
  17. 188356
  18. 299209
  19. 106929
  20. 561001
  21. 78400
  22. 853776
  23. 367236
  24. 35212356
  25. 157609
  26. 40401
  27. 82482724
  28. 646416
  29. 166464
  30. 62047129
  31. 269361
  32. 139129
  33. 389376
  34. 240100
  35. 213444
  36. 28561
  37. 12996
  38. 521284
  39. 64516
  40. 531441

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