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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 22 · 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.Magic trick! Think of 6. Double it, add 6, halve it, then take away 6. What number do you get?
  2. 2.I thought of a number, multiplied it by 5 and added 2. I got 52. What was my number?
  3. 3.I thought of a number, multiplied it by 3 and added 3. I got 15. What was my number?
  4. 4.I thought of a number, multiplied it by 5 and added 1. I got 16. What was my number?
  5. 5.I thought of a number, added 7 and then doubled it. I got 54. What was my number?
  6. 6.I thought of a number, multiplied it by 3 and added 2. I got 41. What was my number?
  7. 7.Think of 5. Multiply it by 3, then add 8. What number do you end with?
  8. 8.Magic trick! Think of 18. Double it, add 14, halve it, then take away 18. What number do you get?
  9. 9.I thought of a number, added 3 and then doubled it. I got 30. What was my number?
  10. 10.Magic trick! Think of 16. Double it, add 14, halve it, then take away 16. What number do you get?
  11. 11.I thought of a number, multiplied it by 3 and added 3. I got 48. What was my number?
  12. 12.Think of 15. Multiply it by 3, then add 8. What number do you end with?
  13. 13.Magic trick! Think of 9. Double it, add 8, halve it, then take away 9. What number do you get?
  14. 14.Think of 11. Multiply it by 4, then add 6. What number do you end with?
  15. 15.Think of 14. Multiply it by 2, then add 5. What number do you end with?
  16. 16.Magic trick! Think of 6. Double it, add 18, halve it, then take away 6. What number do you get?
  17. 17.I thought of a number, multiplied it by 2 and added 5. I got 27. What was my number?
  18. 18.Think of 8. Multiply it by 4, then add 7. What number do you end with?
  19. 19.I thought of a number, multiplied it by 5 and added 5. I got 70. What was my number?
  20. 20.I thought of a number, added 7 and then doubled it. I got 50. What was my number?
  21. 21.I thought of a number, multiplied it by 3 and added 4. I got 13. What was my number?
  22. 22.Think of 11. Multiply it by 3, then add 7. What number do you end with?
  23. 23.I thought of a number, added 3 and then doubled it. I got 38. What was my number?
  24. 24.I thought of a number, multiplied it by 4 and added 7. I got 55. What was my number?
  25. 25.I thought of a number, multiplied it by 2 and added 1. I got 21. What was my number?
  26. 26.Think of 15. Multiply it by 4, then add 3. What number do you end with?
  27. 27.I thought of a number, added 6 and then doubled it. I got 30. What was my number?
  28. 28.Think of 6. Multiply it by 3, then add 9. What number do you end with?
  29. 29.Think of 14. Multiply it by 4, then add 2. What number do you end with?
  30. 30.Think of 4. Multiply it by 4, then add 3. What number do you end with?
  31. 31.I thought of a number, added 3 and then doubled it. I got 16. What was my number?
  32. 32.Magic trick! Think of 17. Double it, add 18, halve it, then take away 17. What number do you get?
  33. 33.I thought of a number, added 8 and then doubled it. I got 26. What was my number?
  34. 34.I thought of a number, multiplied it by 4 and added 8. I got 68. What was my number?
  35. 35.I thought of a number, added 6 and then doubled it. I got 20. What was my number?
  36. 36.I thought of a number, multiplied it by 2 and added 7. I got 25. What was my number?
  37. 37.I thought of a number, added 9 and then doubled it. I got 58. What was my number?
  38. 38.Think of 4. Multiply it by 2, then add 2. What number do you end with?
  39. 39.Think of 6. Multiply it by 2, then add 7. What number do you end with?
  40. 40.Magic trick! Think of 5. Double it, add 14, halve it, then take away 5. What number do you get?

Answer key

  1. 3
  2. 10
  3. 4
  4. 3
  5. 20
  6. 13
  7. 23
  8. 7
  9. 12
  10. 7
  11. 15
  12. 53
  13. 4
  14. 50
  15. 33
  16. 9
  17. 11
  18. 39
  19. 13
  20. 18
  21. 3
  22. 40
  23. 16
  24. 12
  25. 10
  26. 63
  27. 9
  28. 27
  29. 58
  30. 19
  31. 5
  32. 9
  33. 5
  34. 15
  35. 4
  36. 9
  37. 20
  38. 10
  39. 19
  40. 7

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