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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 786 · 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. 1.2705² =
  2. 2.288² =
  3. 3.1783² =
  4. 4.663² =
  5. 5.4257² =
  6. 6.734² =
  7. 7.169² =
  8. 8.1797² =
  9. 9.619² =
  10. 10.458² =
  11. 11.669² =
  12. 12.5890² =
  13. 13.512² =
  14. 14.290² =
  15. 15.687² =
  16. 16.245² =
  17. 17.287² =
  18. 18.454² =
  19. 19.2401² =
  20. 20.794² =
  21. 21.830² =
  22. 22.131² =
  23. 23.1567² =
  24. 24.2316² =
  25. 25.3915² =
  26. 26.172² =
  27. 27.9766² =
  28. 28.303² =
  29. 29.711² =
  30. 30.796² =
  31. 31.292² =
  32. 32.231² =
  33. 33.8133² =
  34. 34.695² =
  35. 35.6809² =
  36. 36.564² =
  37. 37.4236² =
  38. 38.6826² =
  39. 39.149² =
  40. 40.716² =

Answer key

  1. 7317025
  2. 82944
  3. 3179089
  4. 439569
  5. 18122049
  6. 538756
  7. 28561
  8. 3229209
  9. 383161
  10. 209764
  11. 447561
  12. 34692100
  13. 262144
  14. 84100
  15. 471969
  16. 60025
  17. 82369
  18. 206116
  19. 5764801
  20. 630436
  21. 688900
  22. 17161
  23. 2455489
  24. 5363856
  25. 15327225
  26. 29584
  27. 95374756
  28. 91809
  29. 505521
  30. 633616
  31. 85264
  32. 53361
  33. 66145689
  34. 483025
  35. 46362481
  36. 318096
  37. 17943696
  38. 46594276
  39. 22201
  40. 512656

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