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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 625 · 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.?911 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.92? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.8?32 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.1?12 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.83?5 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  6. 6.2?65 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.Take 72 and take away the sum of its digits. What do you get?
  8. 8.?346 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  9. 9.18?8 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  10. 10.?703 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  11. 11.Take 24 and take away the sum of its digits. What do you get?
  12. 12.52?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.Take 20 and take away the sum of its digits. What do you get?
  14. 14.20?7 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  15. 15.6?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.?007 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  17. 17.Take 84 and take away the sum of its digits. What do you get?
  18. 18.?00 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.97? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.?155 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.34?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.Take 79 and take away the sum of its digits. What do you get?
  23. 23.Take 28 and take away the sum of its digits. What do you get?
  24. 24.Take 85 and take away the sum of its digits. What do you get?
  25. 25.54? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  26. 26.Take 89 and take away the sum of its digits. What do you get?
  27. 27.?548 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.?116 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.Take 76 and take away the sum of its digits. What do you get?
  30. 30.3?51 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.43?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.?209 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  33. 33.Take 99 and take away the sum of its digits. What do you get?
  34. 34.63?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.Take 52 and take away the sum of its digits. What do you get?
  36. 36.630? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  37. 37.Take 11 and take away the sum of its digits. What do you get?
  38. 38.?749 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  39. 39.188? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  40. 40.?840 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?

Answer key

  1. 7
  2. 7
  3. 5
  4. 5
  5. 2
  6. 5
  7. 63
  8. 5
  9. 1
  10. 8
  11. 18
  12. 9
  13. 18
  14. 9
  15. 3
  16. 2
  17. 72
  18. 9
  19. 2
  20. 7
  21. 9
  22. 63
  23. 18
  24. 72
  25. 9
  26. 72
  27. 1
  28. 1
  29. 63
  30. 9
  31. 5
  32. 7
  33. 81
  34. 9
  35. 45
  36. 9
  37. 9
  38. 7
  39. 1
  40. 6

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