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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 969 · 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. 1.5747² =
  2. 2.835² =
  3. 3.6118² =
  4. 4.367² =
  5. 5.523² =
  6. 6.302² =
  7. 7.9093² =
  8. 8.720² =
  9. 9.205² =
  10. 10.4610² =
  11. 11.9420² =
  12. 12.2101² =
  13. 13.421² =
  14. 14.568² =
  15. 15.3286² =
  16. 16.249² =
  17. 17.247² =
  18. 18.164² =
  19. 19.638² =
  20. 20.1693² =
  21. 21.282² =
  22. 22.445² =
  23. 23.155² =
  24. 24.230² =
  25. 25.1232² =
  26. 26.412² =
  27. 27.373² =
  28. 28.506² =
  29. 29.4853² =
  30. 30.662² =
  31. 31.3866² =
  32. 32.167² =
  33. 33.2183² =
  34. 34.720² =
  35. 35.507² =
  36. 36.979² =
  37. 37.1766² =
  38. 38.781² =
  39. 39.894² =
  40. 40.3724² =

Answer key

  1. 33028009
  2. 697225
  3. 37429924
  4. 134689
  5. 273529
  6. 91204
  7. 82682649
  8. 518400
  9. 42025
  10. 21252100
  11. 88736400
  12. 4414201
  13. 177241
  14. 322624
  15. 10797796
  16. 62001
  17. 61009
  18. 26896
  19. 407044
  20. 2866249
  21. 79524
  22. 198025
  23. 24025
  24. 52900
  25. 1517824
  26. 169744
  27. 139129
  28. 256036
  29. 23551609
  30. 438244
  31. 14945956
  32. 27889
  33. 4765489
  34. 518400
  35. 257049
  36. 958441
  37. 3118756
  38. 609961
  39. 799236
  40. 13868176

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