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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 690 · 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.?332 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.?302 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.2?00 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.1?52 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.813? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  6. 6.27?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.8?42 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  8. 8.?431 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  9. 9.Take 42 and take away the sum of its digits. What do you get?
  10. 10.Take 53 and take away the sum of its digits. What do you get?
  11. 11.39?5 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.5?26 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.Take 83 and take away the sum of its digits. What do you get?
  14. 14.Take 56 and take away the sum of its digits. What do you get?
  15. 15.6?06 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.370? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  17. 17.?884 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  18. 18.?745 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.89?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.50?7 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  21. 21.Take 65 and take away the sum of its digits. What do you get?
  22. 22.1?44 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  23. 23.Take 47 and take away the sum of its digits. What do you get?
  24. 24.Take 27 and take away the sum of its digits. What do you get?
  25. 25.?048 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  26. 26.?689 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.Take 34 and take away the sum of its digits. What do you get?
  28. 28.1?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.14?3 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  30. 30.603? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.2?07 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.Take 23 and take away the sum of its digits. What do you get?
  33. 33.Take 14 and take away the sum of its digits. What do you get?
  34. 34.35?4 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.3?80 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  36. 36.Take 38 and take away the sum of its digits. What do you get?
  37. 37.35?3 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.384? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  39. 39.Take 61 and take away the sum of its digits. What do you get?
  40. 40.Take 95 and take away the sum of its digits. What do you get?

Answer key

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

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