Think of a Number Puzzles Worksheet

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

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