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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 167 · 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. 1.8?26 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.6?66 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.?694 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.Take 65 and take away the sum of its digits. What do you get?
  5. 5.87?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  6. 6.Take 23 and take away the sum of its digits. What do you get?
  7. 7.173? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  8. 8.?42 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  9. 9.?13 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  10. 10.46?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  11. 11.5?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.220? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.2?65 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  14. 14.Take 32 and take away the sum of its digits. What do you get?
  15. 15.Take 31 and take away the sum of its digits. What do you get?
  16. 16.Take 84 and take away the sum of its digits. What do you get?
  17. 17.?061 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  18. 18.Take 49 and take away the sum of its digits. What do you get?
  19. 19.68?4 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.40?5 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.?772 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.?403 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  23. 23.Take 22 and take away the sum of its digits. What do you get?
  24. 24.?665 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  25. 25.?854 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  26. 26.626? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.Take 60 and take away the sum of its digits. What do you get?
  28. 28.74?7 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.?568 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  30. 30.58?3 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.Take 35 and take away the sum of its digits. What do you get?
  32. 32.402? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  33. 33.?165 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  34. 34.77?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.7?59 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  36. 36.Take 71 and take away the sum of its digits. What do you get?
  37. 37.803? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.22?7 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  39. 39.1?00 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  40. 40.Take 50 and take away the sum of its digits. What do you get?

Answer key

  1. 2
  2. 9
  3. 8
  4. 54
  5. 3
  6. 18
  7. 7
  8. 3
  9. 5
  10. 8
  11. 4
  12. 5
  13. 5
  14. 27
  15. 27
  16. 72
  17. 2
  18. 36
  19. 9
  20. 9
  21. 2
  22. 2
  23. 18
  24. 1
  25. 1
  26. 4
  27. 54
  28. 9
  29. 8
  30. 2
  31. 27
  32. 3
  33. 6
  34. 4
  35. 6
  36. 63
  37. 7
  38. 7
  39. 8
  40. 45

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