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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 951 · 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. 1.51?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.?911 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.?014 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.?265 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.6?05 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  6. 6.824? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.Take 66 and take away the sum of its digits. What do you get?
  8. 8.111? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  9. 9.?30 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  10. 10.Take 46 and take away the sum of its digits. What do you get?
  11. 11.Take 43 and take away the sum of its digits. What do you get?
  12. 12.297? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.Take 75 and take away the sum of its digits. What do you get?
  14. 14.Take 48 and take away the sum of its digits. What do you get?
  15. 15.863? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.?538 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  17. 17.22?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  18. 18.2?24 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.Take 38 and take away the sum of its digits. What do you get?
  20. 20.6?38 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.Take 99 and take away the sum of its digits. What do you get?
  22. 22.Take 14 and take away the sum of its digits. What do you get?
  23. 23.11?3 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  24. 24.39?4 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  25. 25.Take 13 and take away the sum of its digits. What do you get?
  26. 26.1?07 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.108? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.168? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.Take 25 and take away the sum of its digits. What do you get?
  30. 30.21?5 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.Take 74 and take away the sum of its digits. What do you get?
  32. 32.Take 69 and take away the sum of its digits. What do you get?
  33. 33.1?61 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  34. 34.Take 71 and take away the sum of its digits. What do you get?
  35. 35.?99 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  36. 36.Take 53 and take away the sum of its digits. What do you get?
  37. 37.Take 87 and take away the sum of its digits. What do you get?
  38. 38.Take 40 and take away the sum of its digits. What do you get?
  39. 39.1?84 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  40. 40.?084 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. 4
  4. 5
  5. 7
  6. 4
  7. 54
  8. 6
  9. 6
  10. 36
  11. 36
  12. 9
  13. 63
  14. 36
  15. 1
  16. 2
  17. 5
  18. 1
  19. 27
  20. 1
  21. 81
  22. 9
  23. 4
  24. 2
  25. 9
  26. 1
  27. 9
  28. 3
  29. 18
  30. 1
  31. 63
  32. 54
  33. 1
  34. 63
  35. 9
  36. 45
  37. 72
  38. 36
  39. 5
  40. 6

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