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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 686 · 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.?327 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.?47 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.Take 68 and take away the sum of its digits. What do you get?
  4. 4.?03 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.204? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  6. 6.41?1 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.?014 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  8. 8.?390 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  9. 9.Take 36 and take away the sum of its digits. What do you get?
  10. 10.Take 16 and take away the sum of its digits. What do you get?
  11. 11.7?24 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.Take 69 and take away the sum of its digits. What do you get?
  13. 13.1?5 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  14. 14.?14 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  15. 15.6?09 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.Take 59 and take away the sum of its digits. What do you get?
  17. 17.Take 94 and take away the sum of its digits. What do you get?
  18. 18.2?17 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.Take 98 and take away the sum of its digits. What do you get?
  20. 20.?902 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.117? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.529? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  23. 23.Take 37 and take away the sum of its digits. What do you get?
  24. 24.?362 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  25. 25.?604 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  26. 26.?496 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.61?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.59? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.865? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  30. 30.?59 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.?589 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.?091 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  33. 33.41?7 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  34. 34.?713 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.Take 53 and take away the sum of its digits. What do you get?
  36. 36.Take 60 and take away the sum of its digits. What do you get?
  37. 37.Take 67 and take away the sum of its digits. What do you get?
  38. 38.4?78 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  39. 39.Take 58 and take away the sum of its digits. What do you get?
  40. 40.1?06 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?

Answer key

  1. 6
  2. 7
  3. 54
  4. 6
  5. 3
  6. 3
  7. 4
  8. 6
  9. 27
  10. 9
  11. 5
  12. 54
  13. 3
  14. 4
  15. 3
  16. 45
  17. 81
  18. 8
  19. 81
  20. 7
  21. 9
  22. 2
  23. 27
  24. 7
  25. 8
  26. 8
  27. 2
  28. 4
  29. 8
  30. 4
  31. 5
  32. 8
  33. 6
  34. 7
  35. 45
  36. 54
  37. 54
  38. 8
  39. 45
  40. 2

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