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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 644 · 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. 1.1732² =
  2. 2.1617² =
  3. 3.226² =
  4. 4.238² =
  5. 5.231² =
  6. 6.381² =
  7. 7.211² =
  8. 8.904² =
  9. 9.9355² =
  10. 10.9636² =
  11. 11.964² =
  12. 12.511² =
  13. 13.216² =
  14. 14.494² =
  15. 15.744² =
  16. 16.930² =
  17. 17.989² =
  18. 18.444² =
  19. 19.604² =
  20. 20.943² =
  21. 21.511² =
  22. 22.397² =
  23. 23.5530² =
  24. 24.6021² =
  25. 25.5467² =
  26. 26.4683² =
  27. 27.472² =
  28. 28.4037² =
  29. 29.3686² =
  30. 30.242² =
  31. 31.167² =
  32. 32.1692² =
  33. 33.266² =
  34. 34.342² =
  35. 35.654² =
  36. 36.768² =
  37. 37.4100² =
  38. 38.4522² =
  39. 39.6534² =
  40. 40.503² =

Answer key

  1. 2999824
  2. 2614689
  3. 51076
  4. 56644
  5. 53361
  6. 145161
  7. 44521
  8. 817216
  9. 87516025
  10. 92852496
  11. 929296
  12. 261121
  13. 46656
  14. 244036
  15. 553536
  16. 864900
  17. 978121
  18. 197136
  19. 364816
  20. 889249
  21. 261121
  22. 157609
  23. 30580900
  24. 36252441
  25. 29888089
  26. 21930489
  27. 222784
  28. 16297369
  29. 13586596
  30. 58564
  31. 27889
  32. 2862864
  33. 70756
  34. 116964
  35. 427716
  36. 589824
  37. 16810000
  38. 20448484
  39. 42693156
  40. 253009

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