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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 112 · 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. 1.854? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.Take 45 and take away the sum of its digits. What do you get?
  3. 3.Take 17 and take away the sum of its digits. What do you get?
  4. 4.Take 85 and take away the sum of its digits. What do you get?
  5. 5.Take 24 and take away the sum of its digits. What do you get?
  6. 6.11?1 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.6?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  8. 8.Take 72 and take away the sum of its digits. What do you get?
  9. 9.Take 37 and take away the sum of its digits. What do you get?
  10. 10.Take 95 and take away the sum of its digits. What do you get?
  11. 11.?016 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.Take 31 and take away the sum of its digits. What do you get?
  13. 13.Take 59 and take away the sum of its digits. What do you get?
  14. 14.8?04 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  15. 15.Take 54 and take away the sum of its digits. What do you get?
  16. 16.15?4 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  17. 17.3?18 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  18. 18.?347 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.63?1 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.17?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.894? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.?091 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  23. 23.46?8 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  24. 24.Take 28 and take away the sum of its digits. What do you get?
  25. 25.85?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  26. 26.31?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.430? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.Take 23 and take away the sum of its digits. What do you get?
  29. 29.2?57 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  30. 30.Take 35 and take away the sum of its digits. What do you get?
  31. 31.8?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.16?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  33. 33.3?33 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  34. 34.5?98 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.8?1 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  36. 36.?113 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  37. 37.1?53 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.Take 22 and take away the sum of its digits. What do you get?
  39. 39.Take 16 and take away the sum of its digits. What do you get?
  40. 40.Take 36 and take away the sum of its digits. What do you get?

Answer key

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

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