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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 554 · 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. 1.763² =
  2. 2.474² =
  3. 3.1284² =
  4. 4.5825² =
  5. 5.381² =
  6. 6.129² =
  7. 7.428² =
  8. 8.356² =
  9. 9.340² =
  10. 10.253² =
  11. 11.290² =
  12. 12.9809² =
  13. 13.6358² =
  14. 14.248² =
  15. 15.910² =
  16. 16.9570² =
  17. 17.2300² =
  18. 18.447² =
  19. 19.669² =
  20. 20.799² =
  21. 21.8554² =
  22. 22.7373² =
  23. 23.890² =
  24. 24.701² =
  25. 25.360² =
  26. 26.2757² =
  27. 27.6353² =
  28. 28.8549² =
  29. 29.323² =
  30. 30.530² =
  31. 31.4677² =
  32. 32.146² =
  33. 33.6450² =
  34. 34.596² =
  35. 35.911² =
  36. 36.2327² =
  37. 37.302² =
  38. 38.606² =
  39. 39.408² =
  40. 40.203² =

Answer key

  1. 582169
  2. 224676
  3. 1648656
  4. 33930625
  5. 145161
  6. 16641
  7. 183184
  8. 126736
  9. 115600
  10. 64009
  11. 84100
  12. 96216481
  13. 40424164
  14. 61504
  15. 828100
  16. 91584900
  17. 5290000
  18. 199809
  19. 447561
  20. 638401
  21. 73170916
  22. 54361129
  23. 792100
  24. 491401
  25. 129600
  26. 7601049
  27. 40360609
  28. 73085401
  29. 104329
  30. 280900
  31. 21874329
  32. 21316
  33. 41602500
  34. 355216
  35. 829921
  36. 5414929
  37. 91204
  38. 367236
  39. 166464
  40. 41209

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