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Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 120 · 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.?33 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  2. 2.Take 53 and take away the sum of its digits. What do you get?
  3. 3.?002 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  4. 4.427? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  5. 5.?997 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  6. 6.269? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  7. 7.69?6 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  8. 8.Take 64 and take away the sum of its digits. What do you get?
  9. 9.Take 44 and take away the sum of its digits. What do you get?
  10. 10.?169 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  11. 11.9?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  12. 12.?804 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  13. 13.50?3 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  14. 14.?259 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  15. 15.Take 20 and take away the sum of its digits. What do you get?
  16. 16.1?85 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  17. 17.Take 21 and take away the sum of its digits. What do you get?
  18. 18.?843 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  19. 19.Take 30 and take away the sum of its digits. What do you get?
  20. 20.Take 56 and take away the sum of its digits. What do you get?
  21. 21.Take 38 and take away the sum of its digits. What do you get?
  22. 22.Take 48 and take away the sum of its digits. What do you get?
  23. 23.Take 67 and take away the sum of its digits. What do you get?
  24. 24.Take 79 and take away the sum of its digits. What do you get?
  25. 25.Take 66 and take away the sum of its digits. What do you get?
  26. 26.4?10 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  27. 27.3?18 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  28. 28.Take 88 and take away the sum of its digits. What do you get?
  29. 29.Take 57 and take away the sum of its digits. What do you get?
  30. 30.?19 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  31. 31.Take 32 and take away the sum of its digits. What do you get?
  32. 32.3?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  33. 33.349? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  34. 34.Take 60 and take away the sum of its digits. What do you get?
  35. 35.6?87 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  36. 36.2?87 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  37. 37.?480 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  38. 38.?937 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  39. 39.?462 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
  40. 40.14?6 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. 45
  3. 7
  4. 5
  5. 2
  6. 1
  7. 6
  8. 54
  9. 36
  10. 2
  11. 9
  12. 6
  13. 1
  14. 2
  15. 18
  16. 4
  17. 18
  18. 3
  19. 27
  20. 45
  21. 27
  22. 36
  23. 54
  24. 63
  25. 54
  26. 4
  27. 6
  28. 72
  29. 45
  30. 8
  31. 27
  32. 6
  33. 2
  34. 54
  35. 6
  36. 1
  37. 6
  38. 8
  39. 6
  40. 7

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