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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 569 · 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. 1.877² =
  2. 2.201² =
  3. 3.6195² =
  4. 4.558² =
  5. 5.8788² =
  6. 6.8697² =
  7. 7.8298² =
  8. 8.280² =
  9. 9.8463² =
  10. 10.6883² =
  11. 11.940² =
  12. 12.412² =
  13. 13.464² =
  14. 14.7351² =
  15. 15.895² =
  16. 16.506² =
  17. 17.2765² =
  18. 18.1814² =
  19. 19.930² =
  20. 20.9965² =
  21. 21.297² =
  22. 22.230² =
  23. 23.152² =
  24. 24.722² =
  25. 25.7144² =
  26. 26.343² =
  27. 27.211² =
  28. 28.463² =
  29. 29.265² =
  30. 30.7533² =
  31. 31.1656² =
  32. 32.606² =
  33. 33.610² =
  34. 34.4067² =
  35. 35.204² =
  36. 36.546² =
  37. 37.4807² =
  38. 38.708² =
  39. 39.168² =
  40. 40.2251² =

Answer key

  1. 769129
  2. 40401
  3. 38378025
  4. 311364
  5. 77228944
  6. 75637809
  7. 68856804
  8. 78400
  9. 71622369
  10. 47375689
  11. 883600
  12. 169744
  13. 215296
  14. 54037201
  15. 801025
  16. 256036
  17. 7645225
  18. 3290596
  19. 864900
  20. 99301225
  21. 88209
  22. 52900
  23. 23104
  24. 521284
  25. 51036736
  26. 117649
  27. 44521
  28. 214369
  29. 70225
  30. 56746089
  31. 2742336
  32. 367236
  33. 372100
  34. 16540489
  35. 41616
  36. 298116
  37. 23107249
  38. 501264
  39. 28224
  40. 5067001

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