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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 412 · 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. 1.370² =
  2. 2.772² =
  3. 3.757² =
  4. 4.431² =
  5. 5.801² =
  6. 6.683² =
  7. 7.135² =
  8. 8.911² =
  9. 9.641² =
  10. 10.530² =
  11. 11.668² =
  12. 12.6773² =
  13. 13.220² =
  14. 14.786² =
  15. 15.270² =
  16. 16.335² =
  17. 17.322² =
  18. 18.2095² =
  19. 19.900² =
  20. 20.660² =
  21. 21.166² =
  22. 22.500² =
  23. 23.3084² =
  24. 24.354² =
  25. 25.926² =
  26. 26.789² =
  27. 27.2866² =
  28. 28.885² =
  29. 29.7943² =
  30. 30.385² =
  31. 31.6827² =
  32. 32.828² =
  33. 33.592² =
  34. 34.6514² =
  35. 35.3632² =
  36. 36.609² =
  37. 37.1217² =
  38. 38.982² =
  39. 39.663² =
  40. 40.979² =

Answer key

  1. 136900
  2. 595984
  3. 573049
  4. 185761
  5. 641601
  6. 466489
  7. 18225
  8. 829921
  9. 410881
  10. 280900
  11. 446224
  12. 45873529
  13. 48400
  14. 617796
  15. 72900
  16. 112225
  17. 103684
  18. 4389025
  19. 810000
  20. 435600
  21. 27556
  22. 250000
  23. 9511056
  24. 125316
  25. 857476
  26. 622521
  27. 8213956
  28. 783225
  29. 63091249
  30. 148225
  31. 46607929
  32. 685584
  33. 350464
  34. 42432196
  35. 13191424
  36. 370881
  37. 1481089
  38. 964324
  39. 439569
  40. 958441

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