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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 34 · 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 4 and added 5. I got 41. What was my number?
  2. 2.Magic trick! Think of 3. Double it, add 14, halve it, then take away 3. What number do you get?
  3. 3.I thought of a number, added 9 and then doubled it. I got 36. What was my number?
  4. 4.Magic trick! Think of 17. Double it, add 18, halve it, then take away 17. What number do you get?
  5. 5.I thought of a number, multiplied it by 4 and added 7. I got 35. What was my number?
  6. 6.I thought of a number, multiplied it by 4 and added 2. I got 30. What was my number?
  7. 7.Magic trick! Think of 11. Double it, add 10, halve it, then take away 11. What number do you get?
  8. 8.I thought of a number, multiplied it by 4 and added 5. I got 61. What was my number?
  9. 9.I thought of a number, multiplied it by 5 and added 7. I got 77. What was my number?
  10. 10.I thought of a number, multiplied it by 2 and added 1. I got 23. What was my number?
  11. 11.Magic trick! Think of 19. Double it, add 16, halve it, then take away 19. What number do you get?
  12. 12.Magic trick! Think of 2. Double it, add 10, halve it, then take away 2. What number do you get?
  13. 13.I thought of a number, added 3 and then doubled it. I got 18. What was my number?
  14. 14.I thought of a number, added 4 and then doubled it. I got 16. What was my number?
  15. 15.I thought of a number, multiplied it by 3 and added 7. I got 25. What was my number?
  16. 16.I thought of a number, multiplied it by 4 and added 9. I got 25. What was my number?
  17. 17.I thought of a number, multiplied it by 2 and added 6. I got 18. What was my number?
  18. 18.Magic trick! Think of 12. Double it, add 12, halve it, then take away 12. What number do you get?
  19. 19.I thought of a number, multiplied it by 2 and added 7. I got 17. What was my number?
  20. 20.I thought of a number, added 8 and then doubled it. I got 50. What was my number?
  21. 21.I thought of a number, multiplied it by 4 and added 4. I got 20. What was my number?
  22. 22.Think of 11. Multiply it by 5, then add 7. What number do you end with?
  23. 23.Think of 10. Multiply it by 3, then add 5. What number do you end with?
  24. 24.Magic trick! Think of 6. Double it, add 14, halve it, then take away 6. What number do you get?
  25. 25.Magic trick! Think of 4. Double it, add 10, halve it, then take away 4. What number do you get?
  26. 26.Think of 14. Multiply it by 4, then add 5. What number do you end with?
  27. 27.Magic trick! Think of 14. Double it, add 8, halve it, then take away 14. What number do you get?
  28. 28.I thought of a number, added 9 and then doubled it. I got 48. What was my number?
  29. 29.Magic trick! Think of 6. Double it, add 8, halve it, then take away 6. What number do you get?
  30. 30.Magic trick! Think of 8. Double it, add 18, halve it, then take away 8. What number do you get?
  31. 31.Think of 2. Multiply it by 3, then add 8. What number do you end with?
  32. 32.Think of 3. Multiply it by 3, then add 2. What number do you end with?
  33. 33.Think of 3. Multiply it by 2, then add 2. What number do you end with?
  34. 34.Think of 4. Multiply it by 2, then add 3. What number do you end with?
  35. 35.I thought of a number, added 5 and then doubled it. I got 38. What was my number?
  36. 36.Magic trick! Think of 5. Double it, add 6, halve it, then take away 5. What number do you get?
  37. 37.I thought of a number, added 8 and then doubled it. I got 46. What was my number?
  38. 38.Think of 5. Multiply it by 5, then add 4. What number do you end with?
  39. 39.Magic trick! Think of 20. Double it, add 18, halve it, then take away 20. What number do you get?
  40. 40.I thought of a number, added 2 and then doubled it. I got 36. What was my number?

Answer key

  1. 9
  2. 7
  3. 9
  4. 9
  5. 7
  6. 7
  7. 5
  8. 14
  9. 14
  10. 11
  11. 8
  12. 5
  13. 6
  14. 4
  15. 6
  16. 4
  17. 6
  18. 6
  19. 5
  20. 17
  21. 4
  22. 62
  23. 35
  24. 7
  25. 5
  26. 61
  27. 4
  28. 15
  29. 4
  30. 9
  31. 14
  32. 11
  33. 8
  34. 11
  35. 14
  36. 3
  37. 15
  38. 29
  39. 9
  40. 16

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