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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 14 · 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 16. Double it, add 10, halve it, then take away 16. What number do you get?
  2. 2.I thought of a number, multiplied it by 2 and added 8. I got 20. What was my number?
  3. 3.I thought of a number, added 4 and then doubled it. I got 16. What was my number?
  4. 4.Think of 12. Multiply it by 2, then add 9. What number do you end with?
  5. 5.Magic trick! Think of 6. Double it, add 14, halve it, then take away 6. What number do you get?
  6. 6.I thought of a number, added 3 and then doubled it. I got 12. What was my number?
  7. 7.I thought of a number, multiplied it by 5 and added 5. I got 15. What was my number?
  8. 8.Magic trick! Think of 3. Double it, add 6, halve it, then take away 3. What number do you get?
  9. 9.Magic trick! Think of 7. Double it, add 6, halve it, then take away 7. What number do you get?
  10. 10.Think of 7. Multiply it by 4, then add 3. What number do you end with?
  11. 11.Magic trick! Think of 16. Double it, add 14, halve it, then take away 16. What number do you get?
  12. 12.I thought of a number, multiplied it by 4 and added 8. I got 68. What was my number?
  13. 13.I thought of a number, multiplied it by 5 and added 8. I got 53. What was my number?
  14. 14.Magic trick! Think of 7. Double it, add 18, halve it, then take away 7. What number do you get?
  15. 15.Magic trick! Think of 4. Double it, add 12, halve it, then take away 4. What number do you get?
  16. 16.Think of 2. Multiply it by 2, then add 6. What number do you end with?
  17. 17.Magic trick! Think of 2. Double it, add 10, halve it, then take away 2. What number do you get?
  18. 18.Think of 7. Multiply it by 2, then add 5. What number do you end with?
  19. 19.I thought of a number, multiplied it by 5 and added 9. I got 29. What was my number?
  20. 20.I thought of a number, added 1 and then doubled it. I got 32. What was my number?
  21. 21.I thought of a number, multiplied it by 2 and added 9. I got 31. What was my number?
  22. 22.I thought of a number, added 1 and then doubled it. I got 8. What was my number?
  23. 23.I thought of a number, added 6 and then doubled it. I got 46. What was my number?
  24. 24.I thought of a number, multiplied it by 2 and added 5. I got 9. What was my number?
  25. 25.I thought of a number, added 3 and then doubled it. I got 40. What was my number?
  26. 26.I thought of a number, multiplied it by 3 and added 5. I got 35. What was my number?
  27. 27.I thought of a number, added 1 and then doubled it. I got 16. What was my number?
  28. 28.Think of 14. Multiply it by 2, then add 2. What number do you end with?
  29. 29.I thought of a number, multiplied it by 2 and added 1. I got 7. What was my number?
  30. 30.Think of 8. Multiply it by 4, then add 1. What number do you end with?
  31. 31.I thought of a number, multiplied it by 5 and added 9. I got 54. What was my number?
  32. 32.I thought of a number, multiplied it by 4 and added 5. I got 65. What was my number?
  33. 33.I thought of a number, multiplied it by 3 and added 4. I got 40. What was my number?
  34. 34.I thought of a number, multiplied it by 3 and added 7. I got 28. What was my number?
  35. 35.Magic trick! Think of 14. Double it, add 16, halve it, then take away 14. What number do you get?
  36. 36.I thought of a number, multiplied it by 2 and added 3. I got 25. What was my number?
  37. 37.I thought of a number, multiplied it by 5 and added 4. I got 69. What was my number?
  38. 38.Magic trick! Think of 6. Double it, add 8, halve it, then take away 6. What number do you get?
  39. 39.I thought of a number, added 7 and then doubled it. I got 22. What was my number?
  40. 40.I thought of a number, added 8 and then doubled it. I got 40. What was my number?

Answer key

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

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