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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 253 · 40 questions
TalentJR

The trick (Digits add to the 9 table): Add the digits you can see. Find the next number in the 9 table (9, 18, 27 …) above that total. The hidden digit is the difference. (Any number minus its digit sum is in the 9 table too.)

NameDateTime takenScore ___ / 40
  1. 1.?782 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.64?7 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.?499 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.855? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.3?51 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  6. 6.?868 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.Take 21 and take away the sum of its digits. What do you get?
  8. 8.78?3 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  9. 9.Take 20 and take away the sum of its digits. What do you get?
  10. 10.Take 83 and take away the sum of its digits. What do you get?
  11. 11.19?4 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.Take 11 and take away the sum of its digits. What do you get?
  13. 13.12?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  14. 14.Take 22 and take away the sum of its digits. What do you get?
  15. 15.35?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.Take 63 and take away the sum of its digits. What do you get?
  17. 17.Take 32 and take away the sum of its digits. What do you get?
  18. 18.?45 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.614? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.Take 29 and take away the sum of its digits. What do you get?
  21. 21.23?4 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.?723 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  23. 23.88?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  24. 24.6?93 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  25. 25.656? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  26. 26.Take 68 and take away the sum of its digits. What do you get?
  27. 27.?020 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.3?4 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.?795 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  30. 30.Take 93 and take away the sum of its digits. What do you get?
  31. 31.171? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.?905 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  33. 33.Take 96 and take away the sum of its digits. What do you get?
  34. 34.66?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.Take 16 and take away the sum of its digits. What do you get?
  36. 36.?242 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  37. 37.?033 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.20?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  39. 39.400? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  40. 40.7?73 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?

Answer key

  1. 1
  2. 1
  3. 5
  4. 9
  5. 9
  6. 5
  7. 18
  8. 9
  9. 18
  10. 72
  11. 4
  12. 9
  13. 6
  14. 18
  15. 8
  16. 54
  17. 27
  18. 9
  19. 7
  20. 18
  21. 9
  22. 6
  23. 9
  24. 9
  25. 1
  26. 54
  27. 7
  28. 2
  29. 6
  30. 81
  31. 9
  32. 4
  33. 81
  34. 9
  35. 9
  36. 1
  37. 3
  38. 7
  39. 5
  40. 1

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