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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 285 · 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. 1.587² =
  2. 2.166² =
  3. 3.8398² =
  4. 4.549² =
  5. 5.250² =
  6. 6.571² =
  7. 7.1239² =
  8. 8.286² =
  9. 9.402² =
  10. 10.486² =
  11. 11.236² =
  12. 12.4751² =
  13. 13.302² =
  14. 14.4161² =
  15. 15.1357² =
  16. 16.326² =
  17. 17.755² =
  18. 18.253² =
  19. 19.531² =
  20. 20.746² =
  21. 21.465² =
  22. 22.914² =
  23. 23.5916² =
  24. 24.277² =
  25. 25.645² =
  26. 26.900² =
  27. 27.1077² =
  28. 28.284² =
  29. 29.8842² =
  30. 30.785² =
  31. 31.120² =
  32. 32.775² =
  33. 33.689² =
  34. 34.1674² =
  35. 35.6650² =
  36. 36.109² =
  37. 37.273² =
  38. 38.524² =
  39. 39.2648² =
  40. 40.1798² =

Answer key

  1. 344569
  2. 27556
  3. 70526404
  4. 301401
  5. 62500
  6. 326041
  7. 1535121
  8. 81796
  9. 161604
  10. 236196
  11. 55696
  12. 22572001
  13. 91204
  14. 17313921
  15. 1841449
  16. 106276
  17. 570025
  18. 64009
  19. 281961
  20. 556516
  21. 216225
  22. 835396
  23. 34999056
  24. 76729
  25. 416025
  26. 810000
  27. 1159929
  28. 80656
  29. 78180964
  30. 616225
  31. 14400
  32. 600625
  33. 474721
  34. 2802276
  35. 44222500
  36. 11881
  37. 74529
  38. 274576
  39. 7011904
  40. 3232804

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