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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 415 · 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.?916 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.?750 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.798? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.75?4 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.?251 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  6. 6.?112 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.Take 63 and take away the sum of its digits. What do you get?
  8. 8.Take 17 and take away the sum of its digits. What do you get?
  9. 9.Take 99 and take away the sum of its digits. What do you get?
  10. 10.1?17 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  11. 11.Take 11 and take away the sum of its digits. What do you get?
  12. 12.449? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.Take 31 and take away the sum of its digits. What do you get?
  14. 14.Take 16 and take away the sum of its digits. What do you get?
  15. 15.539? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.1?65 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  17. 17.45?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  18. 18.Take 75 and take away the sum of its digits. What do you get?
  19. 19.Take 23 and take away the sum of its digits. What do you get?
  20. 20.76? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.770? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.3?1 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  23. 23.21?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  24. 24.Take 41 and take away the sum of its digits. What do you get?
  25. 25.Take 87 and take away the sum of its digits. What do you get?
  26. 26.?464 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.Take 71 and take away the sum of its digits. What do you get?
  28. 28.?133 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.Take 84 and take away the sum of its digits. What do you get?
  30. 30.5?56 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.10?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.Take 20 and take away the sum of its digits. What do you get?
  33. 33.?685 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  34. 34.27?7 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.Take 21 and take away the sum of its digits. What do you get?
  36. 36.Take 77 and take away the sum of its digits. What do you get?
  37. 37.Take 79 and take away the sum of its digits. What do you get?
  38. 38.Take 18 and take away the sum of its digits. What do you get?
  39. 39.Take 38 and take away the sum of its digits. What do you get?
  40. 40.62?8 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?

Answer key

  1. 2
  2. 6
  3. 3
  4. 2
  5. 1
  6. 5
  7. 54
  8. 9
  9. 81
  10. 9
  11. 9
  12. 1
  13. 27
  14. 9
  15. 1
  16. 6
  17. 7
  18. 63
  19. 18
  20. 5
  21. 4
  22. 5
  23. 6
  24. 36
  25. 72
  26. 4
  27. 63
  28. 2
  29. 72
  30. 2
  31. 8
  32. 18
  33. 8
  34. 2
  35. 18
  36. 63
  37. 63
  38. 9
  39. 27
  40. 2

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