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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 365 · 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. 1.3?54 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.5?69 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.2?63 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.17?8 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.Take 35 and take away the sum of its digits. What do you get?
  6. 6.283? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.Take 36 and take away the sum of its digits. What do you get?
  8. 8.?456 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  9. 9.Take 97 and take away the sum of its digits. What do you get?
  10. 10.26?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  11. 11.695? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.8?31 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.5?49 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  14. 14.?678 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  15. 15.5?03 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.Take 48 and take away the sum of its digits. What do you get?
  17. 17.Take 69 and take away the sum of its digits. What do you get?
  18. 18.?53 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.181? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.1?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.Take 22 and take away the sum of its digits. What do you get?
  22. 22.4?8 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  23. 23.5?78 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  24. 24.2?03 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  25. 25.Take 42 and take away the sum of its digits. What do you get?
  26. 26.5?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.?186 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.?107 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.Take 37 and take away the sum of its digits. What do you get?
  30. 30.4?5 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.180? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.Take 62 and take away the sum of its digits. What do you get?
  33. 33.Take 77 and take away the sum of its digits. What do you get?
  34. 34.184? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.559? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  36. 36.?096 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  37. 37.?794 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.10?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  39. 39.10?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  40. 40.Take 82 and take away the sum of its digits. What do you get?

Answer key

  1. 6
  2. 7
  3. 7
  4. 2
  5. 27
  6. 5
  7. 27
  8. 3
  9. 81
  10. 4
  11. 7
  12. 6
  13. 9
  14. 6
  15. 1
  16. 36
  17. 54
  18. 1
  19. 8
  20. 8
  21. 18
  22. 6
  23. 7
  24. 4
  25. 36
  26. 4
  27. 3
  28. 1
  29. 27
  30. 9
  31. 9
  32. 54
  33. 63
  34. 5
  35. 8
  36. 3
  37. 7
  38. 8
  39. 6
  40. 72

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