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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 504 · 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. 1.468? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.?974 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  3. 3.?03 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.?700 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.?924 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  6. 6.Take 65 and take away the sum of its digits. What do you get?
  7. 7.35?1 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  8. 8.Take 80 and take away the sum of its digits. What do you get?
  9. 9.18?5 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  10. 10.?148 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  11. 11.1?26 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.Take 67 and take away the sum of its digits. What do you get?
  13. 13.43?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  14. 14.Take 83 and take away the sum of its digits. What do you get?
  15. 15.8?70 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  16. 16.Take 45 and take away the sum of its digits. What do you get?
  17. 17.Take 63 and take away the sum of its digits. What do you get?
  18. 18.20?5 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.22?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  20. 20.Take 13 and take away the sum of its digits. What do you get?
  21. 21.36?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  22. 22.?458 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  23. 23.Take 34 and take away the sum of its digits. What do you get?
  24. 24.27? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  25. 25.26?1 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  26. 26.83?2 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.2?90 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.30? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  29. 29.Take 33 and take away the sum of its digits. What do you get?
  30. 30.55?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.50?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  32. 32.?13 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  33. 33.?088 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  34. 34.?19 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  35. 35.61?9 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  36. 36.Take 17 and take away the sum of its digits. What do you get?
  37. 37.100? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.5?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  39. 39.Take 90 and take away the sum of its digits. What do you get?
  40. 40.4?43 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?

Answer key

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

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