Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 73 · 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, added 3 and then doubled it. I got 16. What was my number?
2. 2.I thought of a number, added 4 and then doubled it. I got 28. What was my number?
3. 3.I thought of a number, multiplied it by 2 and added 2. I got 26. What was my number?
4. 4.I thought of a number, multiplied it by 3 and added 2. I got 14. What was my number?
5. 5.Magic trick! Think of 9. Double it, add 14, halve it, then take away 9. What number do you get?
6. 6.Magic trick! Think of 8. Double it, add 8, halve it, then take away 8. What number do you get?
7. 7.I thought of a number, added 2 and then doubled it. I got 26. What was my number?
8. 8.Magic trick! Think of 6. Double it, add 6, halve it, then take away 6. What number do you get?
9. 9.Think of 15. Multiply it by 2, then add 4. What number do you end with?
10. 10.Think of 4. Multiply it by 5, then add 4. What number do you end with?
11. 11.Think of 6. Multiply it by 3, then add 9. What number do you end with?
12. 12.Think of 9. Multiply it by 5, then add 3. What number do you end with?
13. 13.I thought of a number, multiplied it by 3 and added 4. I got 40. What was my number?
14. 14.Think of 15. Multiply it by 4, then add 1. What number do you end with?
15. 15.Magic trick! Think of 13. Double it, add 4, halve it, then take away 13. What number do you get?
16. 16.I thought of a number, added 7 and then doubled it. I got 40. What was my number?
17. 17.I thought of a number, multiplied it by 2 and added 5. I got 11. What was my number?
18. 18.I thought of a number, multiplied it by 4 and added 3. I got 43. What was my number?
19. 19.Magic trick! Think of 7. Double it, add 6, halve it, then take away 7. What number do you get?
20. 20.Magic trick! Think of 8. Double it, add 10, halve it, then take away 8. What number do you get?
21. 21.I thought of a number, multiplied it by 2 and added 1. I got 9. What was my number?
22. 22.Magic trick! Think of 12. Double it, add 10, halve it, then take away 12. What number do you get?
23. 23.Magic trick! Think of 4. Double it, add 14, halve it, then take away 4. What number do you get?
24. 24.I thought of a number, multiplied it by 3 and added 8. I got 23. What was my number?
25. 25.Magic trick! Think of 16. Double it, add 12, halve it, then take away 16. What number do you get?
26. 26.Magic trick! Think of 8. Double it, add 18, halve it, then take away 8. What number do you get?
27. 27.I thought of a number, added 7 and then doubled it. I got 54. What was my number?
28. 28.Think of 9. Multiply it by 3, then add 8. What number do you end with?
29. 29.Magic trick! Think of 20. Double it, add 12, halve it, then take away 20. What number do you get?
30. 30.I thought of a number, added 9 and then doubled it. I got 28. What was my number?
31. 31.Think of 13. Multiply it by 2, then add 6. What number do you end with?
32. 32.I thought of a number, added 7 and then doubled it. I got 22. What was my number?
33. 33.Think of 5. Multiply it by 5, then add 6. What number do you end with?
34. 34.I thought of a number, multiplied it by 3 and added 2. I got 20. What was my number?
35. 35.Think of 11. Multiply it by 2, then add 2. What number do you end with?
36. 36.Magic trick! Think of 11. Double it, add 12, halve it, then take away 11. What number do you get?
37. 37.I thought of a number, added 7 and then doubled it. I got 20. What was my number?
38. 38.Magic trick! Think of 4. Double it, add 12, halve it, then take away 4. What number do you get?
39. 39.Magic trick! Think of 17. Double it, add 8, halve it, then take away 17. What number do you get?
40. 40.I thought of a number, added 3 and then doubled it. I got 26. What was my number?

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