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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 764 · 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. 1.513² =
  2. 2.3918² =
  3. 3.6086² =
  4. 4.354² =
  5. 5.704² =
  6. 6.802² =
  7. 7.427² =
  8. 8.326² =
  9. 9.434² =
  10. 10.6501² =
  11. 11.160² =
  12. 12.7511² =
  13. 13.285² =
  14. 14.704² =
  15. 15.644² =
  16. 16.385² =
  17. 17.6570² =
  18. 18.2657² =
  19. 19.795² =
  20. 20.8635² =
  21. 21.9290² =
  22. 22.186² =
  23. 23.816² =
  24. 24.439² =
  25. 25.2766² =
  26. 26.695² =
  27. 27.617² =
  28. 28.300² =
  29. 29.277² =
  30. 30.121² =
  31. 31.360² =
  32. 32.5391² =
  33. 33.177² =
  34. 34.223² =
  35. 35.405² =
  36. 36.1485² =
  37. 37.165² =
  38. 38.135² =
  39. 39.462² =
  40. 40.7287² =

Answer key

  1. 263169
  2. 15350724
  3. 37039396
  4. 125316
  5. 495616
  6. 643204
  7. 182329
  8. 106276
  9. 188356
  10. 42263001
  11. 25600
  12. 56415121
  13. 81225
  14. 495616
  15. 414736
  16. 148225
  17. 43164900
  18. 7059649
  19. 632025
  20. 74563225
  21. 86304100
  22. 34596
  23. 665856
  24. 192721
  25. 7650756
  26. 483025
  27. 380689
  28. 90000
  29. 76729
  30. 14641
  31. 129600
  32. 29062881
  33. 31329
  34. 49729
  35. 164025
  36. 2205225
  37. 27225
  38. 18225
  39. 213444
  40. 53100369

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