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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 45 · 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. 1.1906² =
  2. 2.280² =
  3. 3.462² =
  4. 4.8483² =
  5. 5.902² =
  6. 6.638² =
  7. 7.108² =
  8. 8.125² =
  9. 9.635² =
  10. 10.140² =
  11. 11.142² =
  12. 12.854² =
  13. 13.472² =
  14. 14.610² =
  15. 15.8056² =
  16. 16.207² =
  17. 17.6130² =
  18. 18.5857² =
  19. 19.486² =
  20. 20.800² =
  21. 21.3276² =
  22. 22.984² =
  23. 23.497² =
  24. 24.7753² =
  25. 25.581² =
  26. 26.138² =
  27. 27.160² =
  28. 28.306² =
  29. 29.975² =
  30. 30.837² =
  31. 31.600² =
  32. 32.195² =
  33. 33.140² =
  34. 34.483² =
  35. 35.7654² =
  36. 36.108² =
  37. 37.493² =
  38. 38.8817² =
  39. 39.324² =
  40. 40.890² =

Answer key

  1. 3632836
  2. 78400
  3. 213444
  4. 71961289
  5. 813604
  6. 407044
  7. 11664
  8. 15625
  9. 403225
  10. 19600
  11. 20164
  12. 729316
  13. 222784
  14. 372100
  15. 64899136
  16. 42849
  17. 37576900
  18. 34304449
  19. 236196
  20. 640000
  21. 10732176
  22. 968256
  23. 247009
  24. 60109009
  25. 337561
  26. 19044
  27. 25600
  28. 93636
  29. 950625
  30. 700569
  31. 360000
  32. 38025
  33. 19600
  34. 233289
  35. 58583716
  36. 11664
  37. 243049
  38. 77739489
  39. 104976
  40. 792100

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