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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 117 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.I thought of a number, multiplied it by 2 and added 7. I got 15. What was my number?
  2. 2.I thought of a number, added 8 and then doubled it. I got 26. What was my number?
  3. 3.I thought of a number, added 5 and then doubled it. I got 38. What was my number?
  4. 4.Magic trick! Think of 2. Double it, add 4, halve it, then take away 2. What number do you get?
  5. 5.I thought of a number, multiplied it by 3 and added 4. I got 34. What was my number?
  6. 6.Think of 11. Multiply it by 4, then add 5. What number do you end with?
  7. 7.I thought of a number, added 7 and then doubled it. I got 40. What was my number?
  8. 8.Magic trick! Think of 11. Double it, add 8, halve it, then take away 11. What number do you get?
  9. 9.I thought of a number, added 2 and then doubled it. I got 16. What was my number?
  10. 10.I thought of a number, added 1 and then doubled it. I got 18. What was my number?
  11. 11.I thought of a number, added 5 and then doubled it. I got 24. What was my number?
  12. 12.I thought of a number, multiplied it by 2 and added 1. I got 7. What was my number?
  13. 13.I thought of a number, added 5 and then doubled it. I got 18. What was my number?
  14. 14.Magic trick! Think of 17. Double it, add 18, halve it, then take away 17. What number do you get?
  15. 15.I thought of a number, added 2 and then doubled it. I got 36. What was my number?
  16. 16.Think of 3. Multiply it by 4, then add 3. What number do you end with?
  17. 17.I thought of a number, multiplied it by 5 and added 3. I got 43. What was my number?
  18. 18.I thought of a number, multiplied it by 5 and added 7. I got 62. What was my number?
  19. 19.Think of 13. Multiply it by 3, then add 2. What number do you end with?
  20. 20.Think of 10. Multiply it by 2, then add 7. What number do you end with?
  21. 21.Think of 13. Multiply it by 2, then add 3. What number do you end with?
  22. 22.I thought of a number, added 8 and then doubled it. I got 38. What was my number?
  23. 23.Think of 10. Multiply it by 2, then add 2. What number do you end with?
  24. 24.I thought of a number, added 3 and then doubled it. I got 46. What was my number?
  25. 25.I thought of a number, added 5 and then doubled it. I got 32. What was my number?
  26. 26.Magic trick! Think of 12. Double it, add 4, halve it, then take away 12. What number do you get?
  27. 27.I thought of a number, multiplied it by 3 and added 6. I got 12. What was my number?
  28. 28.I thought of a number, added 9 and then doubled it. I got 52. What was my number?
  29. 29.Think of 2. Multiply it by 3, then add 8. What number do you end with?
  30. 30.Think of 13. Multiply it by 5, then add 2. What number do you end with?
  31. 31.Think of 14. Multiply it by 2, then add 1. What number do you end with?
  32. 32.Magic trick! Think of 13. Double it, add 8, halve it, then take away 13. What number do you get?
  33. 33.I thought of a number, multiplied it by 3 and added 1. I got 34. What was my number?
  34. 34.I thought of a number, multiplied it by 3 and added 5. I got 23. What was my number?
  35. 35.Think of 5. Multiply it by 2, then add 7. What number do you end with?
  36. 36.Think of 2. Multiply it by 4, then add 5. What number do you end with?
  37. 37.Think of 6. Multiply it by 5, then add 3. What number do you end with?
  38. 38.I thought of a number, multiplied it by 5 and added 5. I got 45. What was my number?
  39. 39.Magic trick! Think of 15. Double it, add 6, halve it, then take away 15. What number do you get?
  40. 40.Think of 2. Multiply it by 2, then add 1. What number do you end with?

Answer key

  1. 4
  2. 5
  3. 14
  4. 2
  5. 10
  6. 49
  7. 13
  8. 4
  9. 6
  10. 8
  11. 7
  12. 3
  13. 4
  14. 9
  15. 16
  16. 15
  17. 8
  18. 11
  19. 41
  20. 27
  21. 29
  22. 11
  23. 22
  24. 20
  25. 11
  26. 2
  27. 2
  28. 17
  29. 14
  30. 67
  31. 29
  32. 4
  33. 11
  34. 6
  35. 17
  36. 13
  37. 33
  38. 8
  39. 3
  40. 5

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