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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 862 · 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. 1.949² =
  2. 2.218² =
  3. 3.499² =
  4. 4.183² =
  5. 5.1597² =
  6. 6.6580² =
  7. 7.822² =
  8. 8.119² =
  9. 9.514² =
  10. 10.176² =
  11. 11.1217² =
  12. 12.219² =
  13. 13.1617² =
  14. 14.493² =
  15. 15.862² =
  16. 16.470² =
  17. 17.254² =
  18. 18.3429² =
  19. 19.827² =
  20. 20.191² =
  21. 21.4164² =
  22. 22.505² =
  23. 23.8709² =
  24. 24.2962² =
  25. 25.484² =
  26. 26.399² =
  27. 27.297² =
  28. 28.6734² =
  29. 29.996² =
  30. 30.155² =
  31. 31.134² =
  32. 32.260² =
  33. 33.2351² =
  34. 34.180² =
  35. 35.6539² =
  36. 36.880² =
  37. 37.762² =
  38. 38.731² =
  39. 39.4600² =
  40. 40.373² =

Answer key

  1. 900601
  2. 47524
  3. 249001
  4. 33489
  5. 2550409
  6. 43296400
  7. 675684
  8. 14161
  9. 264196
  10. 30976
  11. 1481089
  12. 47961
  13. 2614689
  14. 243049
  15. 743044
  16. 220900
  17. 64516
  18. 11758041
  19. 683929
  20. 36481
  21. 17338896
  22. 255025
  23. 75846681
  24. 8773444
  25. 234256
  26. 159201
  27. 88209
  28. 45346756
  29. 992016
  30. 24025
  31. 17956
  32. 67600
  33. 5527201
  34. 32400
  35. 42758521
  36. 774400
  37. 580644
  38. 534361
  39. 21160000
  40. 139129

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