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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 60 · 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, added 3 and then doubled it. I got 38. What was my number?
  2. 2.Magic trick! Think of 4. Double it, add 18, halve it, then take away 4. What number do you get?
  3. 3.I thought of a number, multiplied it by 3 and added 3. I got 9. What was my number?
  4. 4.I thought of a number, multiplied it by 2 and added 2. I got 16. What was my number?
  5. 5.I thought of a number, multiplied it by 2 and added 1. I got 11. What was my number?
  6. 6.I thought of a number, added 3 and then doubled it. I got 18. What was my number?
  7. 7.I thought of a number, multiplied it by 3 and added 2. I got 44. What was my number?
  8. 8.Magic trick! Think of 7. Double it, add 4, halve it, then take away 7. What number do you get?
  9. 9.Magic trick! Think of 6. Double it, add 14, halve it, then take away 6. What number do you get?
  10. 10.I thought of a number, added 1 and then doubled it. I got 14. What was my number?
  11. 11.Think of 7. Multiply it by 2, then add 6. What number do you end with?
  12. 12.I thought of a number, added 7 and then doubled it. I got 30. What was my number?
  13. 13.Magic trick! Think of 19. Double it, add 4, halve it, then take away 19. What number do you get?
  14. 14.Magic trick! Think of 20. Double it, add 12, halve it, then take away 20. What number do you get?
  15. 15.Magic trick! Think of 18. Double it, add 12, halve it, then take away 18. What number do you get?
  16. 16.Magic trick! Think of 4. Double it, add 12, halve it, then take away 4. What number do you get?
  17. 17.Magic trick! Think of 13. Double it, add 4, halve it, then take away 13. What number do you get?
  18. 18.I thought of a number, added 1 and then doubled it. I got 40. What was my number?
  19. 19.I thought of a number, multiplied it by 4 and added 1. I got 13. What was my number?
  20. 20.I thought of a number, multiplied it by 5 and added 7. I got 42. What was my number?
  21. 21.Think of 2. Multiply it by 5, then add 7. What number do you end with?
  22. 22.I thought of a number, multiplied it by 5 and added 8. I got 18. What was my number?
  23. 23.I thought of a number, added 5 and then doubled it. I got 38. What was my number?
  24. 24.Magic trick! Think of 19. Double it, add 10, halve it, then take away 19. What number do you get?
  25. 25.I thought of a number, added 2 and then doubled it. I got 36. What was my number?
  26. 26.Think of 3. Multiply it by 3, then add 8. What number do you end with?
  27. 27.I thought of a number, multiplied it by 3 and added 1. I got 19. What was my number?
  28. 28.Think of 2. Multiply it by 4, then add 9. What number do you end with?
  29. 29.I thought of a number, added 3 and then doubled it. I got 30. What was my number?
  30. 30.I thought of a number, multiplied it by 5 and added 6. I got 16. What was my number?
  31. 31.I thought of a number, added 3 and then doubled it. I got 24. What was my number?
  32. 32.I thought of a number, added 2 and then doubled it. I got 14. What was my number?
  33. 33.Think of 10. Multiply it by 2, then add 8. What number do you end with?
  34. 34.I thought of a number, added 1 and then doubled it. I got 38. What was my number?
  35. 35.I thought of a number, multiplied it by 4 and added 2. I got 54. What was my number?
  36. 36.I thought of a number, added 5 and then doubled it. I got 42. What was my number?
  37. 37.Think of 5. Multiply it by 3, then add 6. What number do you end with?
  38. 38.I thought of a number, multiplied it by 2 and added 9. I got 23. What was my number?
  39. 39.Think of 6. Multiply it by 5, then add 3. What number do you end with?
  40. 40.I thought of a number, multiplied it by 3 and added 5. I got 44. What was my number?

Answer key

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

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