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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 747 · 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.?168 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.Take 84 and take away the sum of its digits. What do you get?
  3. 3.Take 60 and take away the sum of its digits. What do you get?
  4. 4.Take 78 and take away the sum of its digits. What do you get?
  5. 5.Take 49 and take away the sum of its digits. What do you get?
  6. 6.477? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.Take 48 and take away the sum of its digits. What do you get?
  8. 8.Take 72 and take away the sum of its digits. What do you get?
  9. 9.55?1 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  10. 10.98? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  11. 11.Take 96 and take away the sum of its digits. What do you get?
  12. 12.8?49 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.Take 37 and take away the sum of its digits. What do you get?
  14. 14.?974 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  15. 15.727? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.Take 18 and take away the sum of its digits. What do you get?
  17. 17.Take 24 and take away the sum of its digits. What do you get?
  18. 18.430? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.2?33 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.Take 82 and take away the sum of its digits. What do you get?
  21. 21.Take 17 and take away the sum of its digits. What do you get?
  22. 22.Take 66 and take away the sum of its digits. What do you get?
  23. 23.Take 70 and take away the sum of its digits. What do you get?
  24. 24.8?60 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  25. 25.Take 54 and take away the sum of its digits. What do you get?
  26. 26.1?32 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.?968 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.7?25 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.Take 94 and take away the sum of its digits. What do you get?
  30. 30.6?96 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.1?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.?173 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  33. 33.?825 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  34. 34.?061 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.Take 68 and take away the sum of its digits. What do you get?
  36. 36.6?00 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  37. 37.?993 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.Take 63 and take away the sum of its digits. What do you get?
  39. 39.Take 32 and take away the sum of its digits. What do you get?
  40. 40.?587 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?

Answer key

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

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