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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 724 · 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.?314 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.Take 31 and take away the sum of its digits. What do you get?
  3. 3.Take 47 and take away the sum of its digits. What do you get?
  4. 4.?118 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.Take 89 and take away the sum of its digits. What do you get?
  6. 6.Take 94 and take away the sum of its digits. What do you get?
  7. 7.Take 51 and take away the sum of its digits. What do you get?
  8. 8.Take 54 and take away the sum of its digits. What do you get?
  9. 9.579? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  10. 10.?813 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  11. 11.Take 12 and take away the sum of its digits. What do you get?
  12. 12.656? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.146? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  14. 14.Take 11 and take away the sum of its digits. What do you get?
  15. 15.Take 36 and take away the sum of its digits. What do you get?
  16. 16.Take 58 and take away the sum of its digits. What do you get?
  17. 17.Take 97 and take away the sum of its digits. What do you get?
  18. 18.4?26 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.7?02 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.Take 71 and take away the sum of its digits. What do you get?
  21. 21.?024 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.Take 95 and take away the sum of its digits. What do you get?
  23. 23.?717 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  24. 24.?762 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  25. 25.?57 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  26. 26.Take 82 and take away the sum of its digits. What do you get?
  27. 27.?191 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.?941 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.1?63 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  30. 30.467? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.?952 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.Take 63 and take away the sum of its digits. What do you get?
  33. 33.Take 80 and take away the sum of its digits. What do you get?
  34. 34.17? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.525? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  36. 36.71?3 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  37. 37.?570 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.Take 27 and take away the sum of its digits. What do you get?
  39. 39.?286 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  40. 40.Take 22 and take away the sum of its digits. What do you get?

Answer key

  1. 1
  2. 27
  3. 36
  4. 8
  5. 72
  6. 81
  7. 45
  8. 45
  9. 6
  10. 6
  11. 9
  12. 1
  13. 7
  14. 9
  15. 27
  16. 45
  17. 81
  18. 6
  19. 9
  20. 63
  21. 3
  22. 81
  23. 3
  24. 3
  25. 6
  26. 72
  27. 7
  28. 4
  29. 8
  30. 1
  31. 2
  32. 54
  33. 72
  34. 1
  35. 6
  36. 7
  37. 6
  38. 18
  39. 2
  40. 18

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