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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 657 · 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. 1.710² =
  2. 2.3220² =
  3. 3.326² =
  4. 4.395² =
  5. 5.8998² =
  6. 6.599² =
  7. 7.1822² =
  8. 8.5530² =
  9. 9.250² =
  10. 10.750² =
  11. 11.775² =
  12. 12.3886² =
  13. 13.535² =
  14. 14.875² =
  15. 15.314² =
  16. 16.9417² =
  17. 17.689² =
  18. 18.144² =
  19. 19.419² =
  20. 20.166² =
  21. 21.233² =
  22. 22.617² =
  23. 23.342² =
  24. 24.9157² =
  25. 25.222² =
  26. 26.577² =
  27. 27.950² =
  28. 28.512² =
  29. 29.154² =
  30. 30.3649² =
  31. 31.272² =
  32. 32.210² =
  33. 33.181² =
  34. 34.8268² =
  35. 35.210² =
  36. 36.139² =
  37. 37.637² =
  38. 38.677² =
  39. 39.5874² =
  40. 40.989² =

Answer key

  1. 504100
  2. 10368400
  3. 106276
  4. 156025
  5. 80964004
  6. 358801
  7. 3319684
  8. 30580900
  9. 62500
  10. 562500
  11. 600625
  12. 15100996
  13. 286225
  14. 765625
  15. 98596
  16. 88679889
  17. 474721
  18. 20736
  19. 175561
  20. 27556
  21. 54289
  22. 380689
  23. 116964
  24. 83850649
  25. 49284
  26. 332929
  27. 902500
  28. 262144
  29. 23716
  30. 13315201
  31. 73984
  32. 44100
  33. 32761
  34. 68359824
  35. 44100
  36. 19321
  37. 405769
  38. 458329
  39. 34503876
  40. 978121

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