Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 98 · 40 questions

The trick (Undo the steps): Going forwards: do the steps in order. Going backwards: start from the result and undo each step, last one first. Undo + with −, × with ÷, and doubling with halving.

1. 1.I thought of a number, multiplied it by 3 and added 4. I got 28. What was my number?
2. 2.Magic trick! Think of 5. Double it, add 10, halve it, then take away 5. What number do you get?
3. 3.Think of 12. Multiply it by 3, then add 1. What number do you end with?
4. 4.I thought of a number, added 6 and then doubled it. I got 22. What was my number?
5. 5.Magic trick! Think of 16. Double it, add 8, halve it, then take away 16. What number do you get?
6. 6.Magic trick! Think of 7. Double it, add 6, halve it, then take away 7. What number do you get?
7. 7.Magic trick! Think of 2. Double it, add 6, halve it, then take away 2. What number do you get?
8. 8.Think of 9. Multiply it by 5, then add 9. What number do you end with?
9. 9.I thought of a number, added 1 and then doubled it. I got 12. What was my number?
10. 10.Think of 8. Multiply it by 4, then add 7. What number do you end with?
11. 11.I thought of a number, multiplied it by 5 and added 8. I got 58. What was my number?
12. 12.Think of 2. Multiply it by 2, then add 7. What number do you end with?
13. 13.Magic trick! Think of 19. Double it, add 16, halve it, then take away 19. What number do you get?
14. 14.Think of 5. Multiply it by 3, then add 8. What number do you end with?
15. 15.I thought of a number, added 4 and then doubled it. I got 42. What was my number?
16. 16.I thought of a number, added 7 and then doubled it. I got 32. What was my number?
17. 17.I thought of a number, added 8 and then doubled it. I got 42. What was my number?
18. 18.I thought of a number, added 1 and then doubled it. I got 20. What was my number?
19. 19.I thought of a number, added 3 and then doubled it. I got 34. What was my number?
20. 20.Magic trick! Think of 8. Double it, add 14, halve it, then take away 8. What number do you get?
21. 21.Magic trick! Think of 16. Double it, add 6, halve it, then take away 16. What number do you get?
22. 22.I thought of a number, multiplied it by 2 and added 6. I got 24. What was my number?
23. 23.Think of 14. Multiply it by 2, then add 7. What number do you end with?
24. 24.I thought of a number, multiplied it by 4 and added 8. I got 68. What was my number?
25. 25.Think of 12. Multiply it by 4, then add 4. What number do you end with?
26. 26.Think of 15. Multiply it by 3, then add 2. What number do you end with?
27. 27.Think of 3. Multiply it by 2, then add 2. What number do you end with?
28. 28.I thought of a number, multiplied it by 4 and added 5. I got 37. What was my number?
29. 29.Magic trick! Think of 17. Double it, add 16, halve it, then take away 17. What number do you get?
30. 30.Think of 10. Multiply it by 4, then add 3. What number do you end with?
31. 31.I thought of a number, multiplied it by 4 and added 7. I got 39. What was my number?
32. 32.Think of 10. Multiply it by 2, then add 4. What number do you end with?
33. 33.Think of 2. Multiply it by 2, then add 5. What number do you end with?
34. 34.Magic trick! Think of 9. Double it, add 6, halve it, then take away 9. What number do you get?
35. 35.Magic trick! Think of 19. Double it, add 10, halve it, then take away 19. What number do you get?
36. 36.Magic trick! Think of 3. Double it, add 14, halve it, then take away 3. What number do you get?
37. 37.I thought of a number, added 7 and then doubled it. I got 44. What was my number?
38. 38.Magic trick! Think of 3. Double it, add 10, halve it, then take away 3. What number do you get?
39. 39.I thought of a number, multiplied it by 3 and added 2. I got 35. What was my number?
40. 40.I thought of a number, added 2 and then doubled it. I got 20. What was my number?

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