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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 637 · 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. 1.176² =
  2. 2.5699² =
  3. 3.143² =
  4. 4.880² =
  5. 5.326² =
  6. 6.455² =
  7. 7.826² =
  8. 8.3124² =
  9. 9.173² =
  10. 10.260² =
  11. 11.3994² =
  12. 12.663² =
  13. 13.3181² =
  14. 14.9040² =
  15. 15.684² =
  16. 16.308² =
  17. 17.1551² =
  18. 18.336² =
  19. 19.726² =
  20. 20.531² =
  21. 21.854² =
  22. 22.474² =
  23. 23.456² =
  24. 24.656² =
  25. 25.973² =
  26. 26.593² =
  27. 27.385² =
  28. 28.763² =
  29. 29.9283² =
  30. 30.4293² =
  31. 31.1318² =
  32. 32.9796² =
  33. 33.171² =
  34. 34.5731² =
  35. 35.588² =
  36. 36.511² =
  37. 37.4670² =
  38. 38.638² =
  39. 39.252² =
  40. 40.107² =

Answer key

  1. 30976
  2. 32478601
  3. 20449
  4. 774400
  5. 106276
  6. 207025
  7. 682276
  8. 9759376
  9. 29929
  10. 67600
  11. 15952036
  12. 439569
  13. 10118761
  14. 81721600
  15. 467856
  16. 94864
  17. 2405601
  18. 112896
  19. 527076
  20. 281961
  21. 729316
  22. 224676
  23. 207936
  24. 430336
  25. 946729
  26. 351649
  27. 148225
  28. 582169
  29. 86174089
  30. 18429849
  31. 1737124
  32. 95961616
  33. 29241
  34. 32844361
  35. 345744
  36. 261121
  37. 21808900
  38. 407044
  39. 63504
  40. 11449

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