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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 995 · 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. 1.3072² =
  2. 2.176² =
  3. 3.607² =
  4. 4.431² =
  5. 5.734² =
  6. 6.256² =
  7. 7.503² =
  8. 8.1252² =
  9. 9.230² =
  10. 10.374² =
  11. 11.913² =
  12. 12.878² =
  13. 13.527² =
  14. 14.686² =
  15. 15.820² =
  16. 16.914² =
  17. 17.899² =
  18. 18.180² =
  19. 19.8556² =
  20. 20.541² =
  21. 21.637² =
  22. 22.355² =
  23. 23.2036² =
  24. 24.587² =
  25. 25.840² =
  26. 26.402² =
  27. 27.526² =
  28. 28.656² =
  29. 29.1339² =
  30. 30.772² =
  31. 31.809² =
  32. 32.8429² =
  33. 33.312² =
  34. 34.3085² =
  35. 35.725² =
  36. 36.3493² =
  37. 37.2408² =
  38. 38.324² =
  39. 39.1327² =
  40. 40.7088² =

Answer key

  1. 9437184
  2. 30976
  3. 368449
  4. 185761
  5. 538756
  6. 65536
  7. 253009
  8. 1567504
  9. 52900
  10. 139876
  11. 833569
  12. 770884
  13. 277729
  14. 470596
  15. 672400
  16. 835396
  17. 808201
  18. 32400
  19. 73205136
  20. 292681
  21. 405769
  22. 126025
  23. 4145296
  24. 344569
  25. 705600
  26. 161604
  27. 276676
  28. 430336
  29. 1792921
  30. 595984
  31. 654481
  32. 71048041
  33. 97344
  34. 9517225
  35. 525625
  36. 12201049
  37. 5798464
  38. 104976
  39. 1760929
  40. 50239744

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