Digit Sum Magic Worksheet

Maths tricks trick 10: Digit-sum magic · Set 160 · 40 questions

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.)

1. 1.?312 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
2. 2.38?0 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
3. 3.Take 65 and take away the sum of its digits. What do you get?
4. 4.Take 37 and take away the sum of its digits. What do you get?
5. 5.Take 17 and take away the sum of its digits. What do you get?
6. 6.Take 61 and take away the sum of its digits. What do you get?
7. 7.Take 41 and take away the sum of its digits. What do you get?
8. 8.86? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
9. 9.Take 20 and take away the sum of its digits. What do you get?
10. 10.Take 36 and take away the sum of its digits. What do you get?
11. 11.70? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
12. 12.602? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
13. 13.Take 74 and take away the sum of its digits. What do you get?
14. 14.Take 33 and take away the sum of its digits. What do you get?
15. 15.57?3 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
16. 16.?093 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
17. 17.Take 66 and take away the sum of its digits. What do you get?
18. 18.Take 31 and take away the sum of its digits. What do you get?
19. 19.Take 35 and take away the sum of its digits. What do you get?
20. 20.84?4 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
21. 21.?021 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
22. 22.851? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
23. 23.Take 96 and take away the sum of its digits. What do you get?
24. 24.Take 49 and take away the sum of its digits. What do you get?
25. 25.5?48 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
26. 26.Take 84 and take away the sum of its digits. What do you get?
27. 27.185? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
28. 28.6?50 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
29. 29.?596 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
30. 30.76?1 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
31. 31.Take 89 and take away the sum of its digits. What do you get?
32. 32.Take 71 and take away the sum of its digits. What do you get?
33. 33.17?7 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
34. 34.Take 99 and take away the sum of its digits. What do you get?
35. 35.6?65 is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
36. 36.Take 12 and take away the sum of its digits. What do you get?
37. 37.273? is in the 9 times table. One digit is hidden, and it is not 0. What is the hidden digit?
38. 38.Take 46 and take away the sum of its digits. What do you get?
39. 39.Take 55 and take away the sum of its digits. What do you get?
40. 40.Take 28 and take away the sum of its digits. What do you get?

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