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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 165 · 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. 1.743² =
  2. 2.113² =
  3. 3.552² =
  4. 4.5863² =
  5. 5.1249² =
  6. 6.439² =
  7. 7.641² =
  8. 8.3383² =
  9. 9.962² =
  10. 10.346² =
  11. 11.8032² =
  12. 12.834² =
  13. 13.985² =
  14. 14.335² =
  15. 15.170² =
  16. 16.785² =
  17. 17.606² =
  18. 18.242² =
  19. 19.5656² =
  20. 20.486² =
  21. 21.788² =
  22. 22.646² =
  23. 23.971² =
  24. 24.167² =
  25. 25.160² =
  26. 26.715² =
  27. 27.4642² =
  28. 28.5601² =
  29. 29.6525² =
  30. 30.656² =
  31. 31.8404² =
  32. 32.6995² =
  33. 33.166² =
  34. 34.407² =
  35. 35.161² =
  36. 36.850² =
  37. 37.777² =
  38. 38.9263² =
  39. 39.4274² =
  40. 40.479² =

Answer key

  1. 552049
  2. 12769
  3. 304704
  4. 34374769
  5. 1560001
  6. 192721
  7. 410881
  8. 11444689
  9. 925444
  10. 119716
  11. 64513024
  12. 695556
  13. 970225
  14. 112225
  15. 28900
  16. 616225
  17. 367236
  18. 58564
  19. 31990336
  20. 236196
  21. 620944
  22. 417316
  23. 942841
  24. 27889
  25. 25600
  26. 511225
  27. 21548164
  28. 31371201
  29. 42575625
  30. 430336
  31. 70627216
  32. 48930025
  33. 27556
  34. 165649
  35. 25921
  36. 722500
  37. 603729
  38. 85803169
  39. 18267076
  40. 229441

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