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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 203 · 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 6, halve it, then take away 16. What number do you get?
  2. 2.I thought of a number, multiplied it by 4 and added 6. I got 46. What was my number?
  3. 3.Magic trick! Think of 5. Double it, add 10, halve it, then take away 5. What number do you get?
  4. 4.Think of 4. Multiply it by 3, then add 8. What number do you end with?
  5. 5.I thought of a number, multiplied it by 3 and added 2. I got 41. What was my number?
  6. 6.Think of 11. Multiply it by 2, then add 5. What number do you end with?
  7. 7.I thought of a number, added 9 and then doubled it. I got 46. What was my number?
  8. 8.Think of 13. Multiply it by 4, then add 8. What number do you end with?
  9. 9.Magic trick! Think of 15. Double it, add 10, halve it, then take away 15. What number do you get?
  10. 10.I thought of a number, multiplied it by 2 and added 2. I got 20. What was my number?
  11. 11.Think of 4. Multiply it by 4, then add 6. What number do you end with?
  12. 12.I thought of a number, multiplied it by 3 and added 1. I got 31. What was my number?
  13. 13.I thought of a number, added 3 and then doubled it. I got 12. What was my number?
  14. 14.Think of 7. Multiply it by 5, then add 1. What number do you end with?
  15. 15.I thought of a number, multiplied it by 5 and added 4. I got 59. What was my number?
  16. 16.Think of 11. Multiply it by 5, then add 1. What number do you end with?
  17. 17.I thought of a number, multiplied it by 2 and added 5. I got 31. What was my number?
  18. 18.Magic trick! Think of 2. Double it, add 18, halve it, then take away 2. What number do you get?
  19. 19.Think of 12. Multiply it by 4, then add 3. What number do you end with?
  20. 20.I thought of a number, multiplied it by 4 and added 8. I got 16. What was my number?
  21. 21.I thought of a number, multiplied it by 3 and added 2. I got 35. What was my number?
  22. 22.I thought of a number, added 5 and then doubled it. I got 18. What was my number?
  23. 23.I thought of a number, multiplied it by 5 and added 5. I got 55. What was my number?
  24. 24.Think of 14. Multiply it by 3, then add 6. What number do you end with?
  25. 25.I thought of a number, added 5 and then doubled it. I got 36. What was my number?
  26. 26.Magic trick! Think of 18. Double it, add 6, halve it, then take away 18. What number do you get?
  27. 27.Magic trick! Think of 20. Double it, add 6, halve it, then take away 20. What number do you get?
  28. 28.Magic trick! Think of 17. Double it, add 16, halve it, then take away 17. What number do you get?
  29. 29.Think of 15. Multiply it by 2, then add 2. What number do you end with?
  30. 30.Magic trick! Think of 3. Double it, add 6, halve it, then take away 3. What number do you get?
  31. 31.I thought of a number, multiplied it by 4 and added 9. I got 37. What was my number?
  32. 32.I thought of a number, added 5 and then doubled it. I got 38. What was my number?
  33. 33.Think of 10. Multiply it by 2, then add 9. What number do you end with?
  34. 34.Magic trick! Think of 16. Double it, add 8, halve it, then take away 16. What number do you get?
  35. 35.Magic trick! Think of 3. Double it, add 8, halve it, then take away 3. What number do you get?
  36. 36.I thought of a number, added 3 and then doubled it. I got 40. What was my number?
  37. 37.Think of 4. Multiply it by 4, then add 1. What number do you end with?
  38. 38.I thought of a number, multiplied it by 2 and added 3. I got 7. What was my number?
  39. 39.I thought of a number, multiplied it by 2 and added 2. I got 6. What was my number?
  40. 40.Magic trick! Think of 7. Double it, add 6, halve it, then take away 7. What number do you get?

Answer key

  1. 3
  2. 10
  3. 5
  4. 20
  5. 13
  6. 27
  7. 14
  8. 60
  9. 5
  10. 9
  11. 22
  12. 10
  13. 3
  14. 36
  15. 11
  16. 56
  17. 13
  18. 9
  19. 51
  20. 2
  21. 11
  22. 4
  23. 10
  24. 48
  25. 13
  26. 3
  27. 3
  28. 8
  29. 32
  30. 3
  31. 7
  32. 14
  33. 29
  34. 4
  35. 4
  36. 17
  37. 17
  38. 2
  39. 2
  40. 3

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