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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 308 · 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. 1.963² =
  2. 2.411² =
  3. 3.251² =
  4. 4.1968² =
  5. 5.517² =
  6. 6.680² =
  7. 7.455² =
  8. 8.300² =
  9. 9.546² =
  10. 10.109² =
  11. 11.2699² =
  12. 12.903² =
  13. 13.810² =
  14. 14.4498² =
  15. 15.121² =
  16. 16.207² =
  17. 17.607² =
  18. 18.299² =
  19. 19.512² =
  20. 20.5586² =
  21. 21.267² =
  22. 22.9785² =
  23. 23.439² =
  24. 24.664² =
  25. 25.7582² =
  26. 26.700² =
  27. 27.9898² =
  28. 28.2363² =
  29. 29.2076² =
  30. 30.306² =
  31. 31.250² =
  32. 32.3350² =
  33. 33.7727² =
  34. 34.467² =
  35. 35.402² =
  36. 36.4483² =
  37. 37.4919² =
  38. 38.482² =
  39. 39.3556² =
  40. 40.525² =

Answer key

  1. 927369
  2. 168921
  3. 63001
  4. 3873024
  5. 267289
  6. 462400
  7. 207025
  8. 90000
  9. 298116
  10. 11881
  11. 7284601
  12. 815409
  13. 656100
  14. 20232004
  15. 14641
  16. 42849
  17. 368449
  18. 89401
  19. 262144
  20. 31203396
  21. 71289
  22. 95746225
  23. 192721
  24. 440896
  25. 57486724
  26. 490000
  27. 97970404
  28. 5583769
  29. 4309776
  30. 93636
  31. 62500
  32. 11222500
  33. 59706529
  34. 218089
  35. 161604
  36. 20097289
  37. 24196561
  38. 232324
  39. 12645136
  40. 275625

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