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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 407 · 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. 1.7224² =
  2. 2.335² =
  3. 3.256² =
  4. 4.275² =
  5. 5.700² =
  6. 6.463² =
  7. 7.803² =
  8. 8.198² =
  9. 9.536² =
  10. 10.2884² =
  11. 11.651² =
  12. 12.4401² =
  13. 13.4264² =
  14. 14.869² =
  15. 15.477² =
  16. 16.721² =
  17. 17.690² =
  18. 18.547² =
  19. 19.531² =
  20. 20.283² =
  21. 21.220² =
  22. 22.317² =
  23. 23.584² =
  24. 24.959² =
  25. 25.487² =
  26. 26.886² =
  27. 27.122² =
  28. 28.877² =
  29. 29.259² =
  30. 30.286² =
  31. 31.135² =
  32. 32.215² =
  33. 33.849² =
  34. 34.7394² =
  35. 35.4498² =
  36. 36.778² =
  37. 37.5458² =
  38. 38.1286² =
  39. 39.336² =
  40. 40.9975² =

Answer key

  1. 52186176
  2. 112225
  3. 65536
  4. 75625
  5. 490000
  6. 214369
  7. 644809
  8. 39204
  9. 287296
  10. 8317456
  11. 423801
  12. 19368801
  13. 18181696
  14. 755161
  15. 227529
  16. 519841
  17. 476100
  18. 299209
  19. 281961
  20. 80089
  21. 48400
  22. 100489
  23. 341056
  24. 919681
  25. 237169
  26. 784996
  27. 14884
  28. 769129
  29. 67081
  30. 81796
  31. 18225
  32. 46225
  33. 720801
  34. 54671236
  35. 20232004
  36. 605284
  37. 29789764
  38. 1653796
  39. 112896
  40. 99500625

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