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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 405 · 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. 1.3093² =
  2. 2.272² =
  3. 3.1132² =
  4. 4.2291² =
  5. 5.125² =
  6. 6.770² =
  7. 7.9224² =
  8. 8.9571² =
  9. 9.713² =
  10. 10.799² =
  11. 11.5187² =
  12. 12.7000² =
  13. 13.266² =
  14. 14.563² =
  15. 15.816² =
  16. 16.666² =
  17. 17.756² =
  18. 18.623² =
  19. 19.300² =
  20. 20.456² =
  21. 21.652² =
  22. 22.192² =
  23. 23.935² =
  24. 24.666² =
  25. 25.445² =
  26. 26.638² =
  27. 27.200² =
  28. 28.914² =
  29. 29.4782² =
  30. 30.199² =
  31. 31.423² =
  32. 32.146² =
  33. 33.932² =
  34. 34.365² =
  35. 35.4732² =
  36. 36.494² =
  37. 37.117² =
  38. 38.442² =
  39. 39.101² =
  40. 40.274² =

Answer key

  1. 9566649
  2. 73984
  3. 1281424
  4. 5248681
  5. 15625
  6. 592900
  7. 85082176
  8. 91604041
  9. 508369
  10. 638401
  11. 26904969
  12. 49000000
  13. 70756
  14. 316969
  15. 665856
  16. 443556
  17. 571536
  18. 388129
  19. 90000
  20. 207936
  21. 425104
  22. 36864
  23. 874225
  24. 443556
  25. 198025
  26. 407044
  27. 40000
  28. 835396
  29. 22867524
  30. 39601
  31. 178929
  32. 21316
  33. 868624
  34. 133225
  35. 22391824
  36. 244036
  37. 13689
  38. 195364
  39. 10201
  40. 75076

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