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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 123 · 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. 1.6651² =
  2. 2.273² =
  3. 3.640² =
  4. 4.358² =
  5. 5.7846² =
  6. 6.664² =
  7. 7.5039² =
  8. 8.704² =
  9. 9.270² =
  10. 10.384² =
  11. 11.669² =
  12. 12.420² =
  13. 13.6378² =
  14. 14.232² =
  15. 15.448² =
  16. 16.463² =
  17. 17.4419² =
  18. 18.1983² =
  19. 19.7877² =
  20. 20.9769² =
  21. 21.953² =
  22. 22.797² =
  23. 23.216² =
  24. 24.918² =
  25. 25.2227² =
  26. 26.770² =
  27. 27.700² =
  28. 28.861² =
  29. 29.128² =
  30. 30.347² =
  31. 31.845² =
  32. 32.655² =
  33. 33.767² =
  34. 34.379² =
  35. 35.2937² =
  36. 36.284² =
  37. 37.294² =
  38. 38.274² =
  39. 39.968² =
  40. 40.150² =

Answer key

  1. 44235801
  2. 74529
  3. 409600
  4. 128164
  5. 61559716
  6. 440896
  7. 25391521
  8. 495616
  9. 72900
  10. 147456
  11. 447561
  12. 176400
  13. 40678884
  14. 53824
  15. 200704
  16. 214369
  17. 19527561
  18. 3932289
  19. 62047129
  20. 95433361
  21. 908209
  22. 635209
  23. 46656
  24. 842724
  25. 4959529
  26. 592900
  27. 490000
  28. 741321
  29. 16384
  30. 120409
  31. 714025
  32. 429025
  33. 588289
  34. 143641
  35. 8625969
  36. 80656
  37. 86436
  38. 75076
  39. 937024
  40. 22500

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