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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 431 · 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. 1.8065² =
  2. 2.556² =
  3. 3.778² =
  4. 4.545² =
  5. 5.2030² =
  6. 6.3386² =
  7. 7.749² =
  8. 8.765² =
  9. 9.653² =
  10. 10.5133² =
  11. 11.1208² =
  12. 12.840² =
  13. 13.4668² =
  14. 14.9297² =
  15. 15.258² =
  16. 16.362² =
  17. 17.464² =
  18. 18.973² =
  19. 19.573² =
  20. 20.7518² =
  21. 21.9947² =
  22. 22.6491² =
  23. 23.616² =
  24. 24.676² =
  25. 25.689² =
  26. 26.6352² =
  27. 27.7723² =
  28. 28.692² =
  29. 29.370² =
  30. 30.201² =
  31. 31.288² =
  32. 32.2932² =
  33. 33.4709² =
  34. 34.797² =
  35. 35.853² =
  36. 36.432² =
  37. 37.871² =
  38. 38.735² =
  39. 39.7124² =
  40. 40.390² =

Answer key

  1. 65044225
  2. 309136
  3. 605284
  4. 297025
  5. 4120900
  6. 11464996
  7. 561001
  8. 585225
  9. 426409
  10. 26347689
  11. 1459264
  12. 705600
  13. 21790224
  14. 86434209
  15. 66564
  16. 131044
  17. 215296
  18. 946729
  19. 328329
  20. 56520324
  21. 98942809
  22. 42133081
  23. 379456
  24. 456976
  25. 474721
  26. 40347904
  27. 59644729
  28. 478864
  29. 136900
  30. 40401
  31. 82944
  32. 8596624
  33. 22174681
  34. 635209
  35. 727609
  36. 186624
  37. 758641
  38. 540225
  39. 50751376
  40. 152100

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