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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 13 · 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. 1.961² =
  2. 2.3907² =
  3. 3.8346² =
  4. 4.536² =
  5. 5.834² =
  6. 6.363² =
  7. 7.914² =
  8. 8.7284² =
  9. 9.319² =
  10. 10.247² =
  11. 11.8080² =
  12. 12.340² =
  13. 13.906² =
  14. 14.566² =
  15. 15.131² =
  16. 16.463² =
  17. 17.337² =
  18. 18.172² =
  19. 19.297² =
  20. 20.734² =
  21. 21.873² =
  22. 22.136² =
  23. 23.753² =
  24. 24.234² =
  25. 25.111² =
  26. 26.2795² =
  27. 27.548² =
  28. 28.396² =
  29. 29.757² =
  30. 30.8169² =
  31. 31.984² =
  32. 32.442² =
  33. 33.402² =
  34. 34.194² =
  35. 35.463² =
  36. 36.412² =
  37. 37.763² =
  38. 38.2007² =
  39. 39.799² =
  40. 40.4576² =

Answer key

  1. 923521
  2. 15264649
  3. 69655716
  4. 287296
  5. 695556
  6. 131769
  7. 835396
  8. 53056656
  9. 101761
  10. 61009
  11. 65286400
  12. 115600
  13. 820836
  14. 320356
  15. 17161
  16. 214369
  17. 113569
  18. 29584
  19. 88209
  20. 538756
  21. 762129
  22. 18496
  23. 567009
  24. 54756
  25. 12321
  26. 7812025
  27. 300304
  28. 156816
  29. 573049
  30. 66732561
  31. 968256
  32. 195364
  33. 161604
  34. 37636
  35. 214369
  36. 169744
  37. 582169
  38. 4028049
  39. 638401
  40. 20939776

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