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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 561 · 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.?352 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.20? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.42? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.?06 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.Take 18 and take away the sum of its digits. What do you get?
  6. 6.699? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.8?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  8. 8.599? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  9. 9.Take 21 and take away the sum of its digits. What do you get?
  10. 10.Take 31 and take away the sum of its digits. What do you get?
  11. 11.?251 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.Take 34 and take away the sum of its digits. What do you get?
  13. 13.3?11 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  14. 14.29?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  15. 15.2?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.?72 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  17. 17.528? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  18. 18.134? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.Take 50 and take away the sum of its digits. What do you get?
  20. 20.?330 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.44?3 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.Take 59 and take away the sum of its digits. What do you get?
  23. 23.Take 86 and take away the sum of its digits. What do you get?
  24. 24.Take 40 and take away the sum of its digits. What do you get?
  25. 25.7?21 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  26. 26.Take 73 and take away the sum of its digits. What do you get?
  27. 27.Take 94 and take away the sum of its digits. What do you get?
  28. 28.?670 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.Take 75 and take away the sum of its digits. What do you get?
  30. 30.Take 36 and take away the sum of its digits. What do you get?
  31. 31.?61 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.Take 19 and take away the sum of its digits. What do you get?
  33. 33.Take 13 and take away the sum of its digits. What do you get?
  34. 34.Take 29 and take away the sum of its digits. What do you get?
  35. 35.Take 28 and take away the sum of its digits. What do you get?
  36. 36.Take 80 and take away the sum of its digits. What do you get?
  37. 37.?476 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.500? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  39. 39.Take 82 and take away the sum of its digits. What do you get?
  40. 40.Take 35 and take away the sum of its digits. What do you get?

Answer key

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

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