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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 359 · 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. 1.1960² =
  2. 2.504² =
  3. 3.863² =
  4. 4.686² =
  5. 5.617² =
  6. 6.5351² =
  7. 7.747² =
  8. 8.256² =
  9. 9.944² =
  10. 10.1209² =
  11. 11.340² =
  12. 12.810² =
  13. 13.281² =
  14. 14.454² =
  15. 15.5172² =
  16. 16.7124² =
  17. 17.133² =
  18. 18.7425² =
  19. 19.2922² =
  20. 20.704² =
  21. 21.253² =
  22. 22.545² =
  23. 23.182² =
  24. 24.715² =
  25. 25.628² =
  26. 26.2335² =
  27. 27.953² =
  28. 28.969² =
  29. 29.5133² =
  30. 30.212² =
  31. 31.251² =
  32. 32.712² =
  33. 33.893² =
  34. 34.2246² =
  35. 35.625² =
  36. 36.7211² =
  37. 37.730² =
  38. 38.8240² =
  39. 39.671² =
  40. 40.568² =

Answer key

  1. 3841600
  2. 254016
  3. 744769
  4. 470596
  5. 380689
  6. 28633201
  7. 558009
  8. 65536
  9. 891136
  10. 1461681
  11. 115600
  12. 656100
  13. 78961
  14. 206116
  15. 26749584
  16. 50751376
  17. 17689
  18. 55130625
  19. 8538084
  20. 495616
  21. 64009
  22. 297025
  23. 33124
  24. 511225
  25. 394384
  26. 5452225
  27. 908209
  28. 938961
  29. 26347689
  30. 44944
  31. 63001
  32. 506944
  33. 797449
  34. 5044516
  35. 390625
  36. 51998521
  37. 532900
  38. 67897600
  39. 450241
  40. 322624

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