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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 147 · 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. 1.3712² =
  2. 2.729² =
  3. 3.1175² =
  4. 4.115² =
  5. 5.2090² =
  6. 6.770² =
  7. 7.264² =
  8. 8.8228² =
  9. 9.324² =
  10. 10.352² =
  11. 11.478² =
  12. 12.7318² =
  13. 13.400² =
  14. 14.598² =
  15. 15.328² =
  16. 16.1060² =
  17. 17.308² =
  18. 18.535² =
  19. 19.4599² =
  20. 20.432² =
  21. 21.530² =
  22. 22.5946² =
  23. 23.625² =
  24. 24.1502² =
  25. 25.266² =
  26. 26.383² =
  27. 27.299² =
  28. 28.5556² =
  29. 29.134² =
  30. 30.1230² =
  31. 31.7137² =
  32. 32.512² =
  33. 33.690² =
  34. 34.240² =
  35. 35.996² =
  36. 36.475² =
  37. 37.732² =
  38. 38.334² =
  39. 39.443² =
  40. 40.528² =

Answer key

  1. 13778944
  2. 531441
  3. 1380625
  4. 13225
  5. 4368100
  6. 592900
  7. 69696
  8. 67699984
  9. 104976
  10. 123904
  11. 228484
  12. 53553124
  13. 160000
  14. 357604
  15. 107584
  16. 1123600
  17. 94864
  18. 286225
  19. 21150801
  20. 186624
  21. 280900
  22. 35354916
  23. 390625
  24. 2256004
  25. 70756
  26. 146689
  27. 89401
  28. 30869136
  29. 17956
  30. 1512900
  31. 50936769
  32. 262144
  33. 476100
  34. 57600
  35. 992016
  36. 225625
  37. 535824
  38. 111556
  39. 196249
  40. 278784

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