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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 582 · 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. 1.53?7 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.?501 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.Take 30 and take away the sum of its digits. What do you get?
  4. 4.4?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.Take 47 and take away the sum of its digits. What do you get?
  6. 6.?085 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.70?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  8. 8.?250 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  9. 9.359? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  10. 10.Take 71 and take away the sum of its digits. What do you get?
  11. 11.?211 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.606? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.210? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  14. 14.Take 58 and take away the sum of its digits. What do you get?
  15. 15.311? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.?422 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  17. 17.Take 28 and take away the sum of its digits. What do you get?
  18. 18.?05 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.?689 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.33?8 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.3?35 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.5?29 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  23. 23.?222 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  24. 24.Take 26 and take away the sum of its digits. What do you get?
  25. 25.Take 18 and take away the sum of its digits. What do you get?
  26. 26.654? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.Take 32 and take away the sum of its digits. What do you get?
  28. 28.810? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.Take 61 and take away the sum of its digits. What do you get?
  30. 30.53?8 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.22?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.?075 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  33. 33.Take 12 and take away the sum of its digits. What do you get?
  34. 34.688? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.5?19 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  36. 36.?080 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  37. 37.7?34 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.Take 41 and take away the sum of its digits. What do you get?
  39. 39.771? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  40. 40.7?33 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?

Answer key

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

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