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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 177 · 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 17. Double it, add 16, halve it, then take away 17. What number do you get?
  2. 2.I thought of a number, multiplied it by 3 and added 3. I got 45. What was my number?
  3. 3.I thought of a number, multiplied it by 3 and added 1. I got 40. What was my number?
  4. 4.I thought of a number, added 3 and then doubled it. I got 30. What was my number?
  5. 5.I thought of a number, added 1 and then doubled it. I got 24. What was my number?
  6. 6.I thought of a number, added 3 and then doubled it. I got 16. What was my number?
  7. 7.Think of 8. Multiply it by 5, then add 9. What number do you end with?
  8. 8.Think of 14. Multiply it by 4, then add 7. What number do you end with?
  9. 9.I thought of a number, multiplied it by 2 and added 3. I got 7. What was my number?
  10. 10.Think of 13. Multiply it by 5, then add 6. What number do you end with?
  11. 11.Magic trick! Think of 15. Double it, add 16, halve it, then take away 15. What number do you get?
  12. 12.Think of 8. Multiply it by 3, then add 1. What number do you end with?
  13. 13.I thought of a number, added 3 and then doubled it. I got 14. What was my number?
  14. 14.Think of 2. Multiply it by 3, then add 1. What number do you end with?
  15. 15.I thought of a number, multiplied it by 4 and added 1. I got 53. What was my number?
  16. 16.Think of 5. Multiply it by 2, then add 5. What number do you end with?
  17. 17.Magic trick! Think of 3. Double it, add 4, halve it, then take away 3. What number do you get?
  18. 18.Magic trick! Think of 13. Double it, add 4, halve it, then take away 13. What number do you get?
  19. 19.Magic trick! Think of 2. Double it, add 8, halve it, then take away 2. What number do you get?
  20. 20.I thought of a number, multiplied it by 2 and added 4. I got 26. What was my number?
  21. 21.I thought of a number, multiplied it by 4 and added 5. I got 21. What was my number?
  22. 22.Think of 8. Multiply it by 2, then add 3. What number do you end with?
  23. 23.Magic trick! Think of 17. Double it, add 4, halve it, then take away 17. What number do you get?
  24. 24.Magic trick! Think of 17. Double it, add 6, halve it, then take away 17. What number do you get?
  25. 25.I thought of a number, multiplied it by 2 and added 2. I got 18. What was my number?
  26. 26.Think of 8. Multiply it by 5, then add 3. What number do you end with?
  27. 27.Magic trick! Think of 12. Double it, add 6, halve it, then take away 12. What number do you get?
  28. 28.I thought of a number, added 8 and then doubled it. I got 28. What was my number?
  29. 29.I thought of a number, multiplied it by 5 and added 7. I got 42. What was my number?
  30. 30.Think of 11. Multiply it by 3, then add 9. What number do you end with?
  31. 31.I thought of a number, added 5 and then doubled it. I got 34. What was my number?
  32. 32.I thought of a number, added 9 and then doubled it. I got 56. What was my number?
  33. 33.Think of 3. Multiply it by 5, then add 3. What number do you end with?
  34. 34.Think of 2. Multiply it by 5, then add 9. What number do you end with?
  35. 35.Think of 4. Multiply it by 5, then add 3. What number do you end with?
  36. 36.Think of 9. Multiply it by 5, then add 6. What number do you end with?
  37. 37.Magic trick! Think of 5. Double it, add 12, halve it, then take away 5. What number do you get?
  38. 38.I thought of a number, multiplied it by 5 and added 9. I got 29. What was my number?
  39. 39.I thought of a number, multiplied it by 3 and added 9. I got 24. What was my number?
  40. 40.Think of 7. Multiply it by 5, then add 5. What number do you end with?

Answer key

  1. 8
  2. 14
  3. 13
  4. 12
  5. 11
  6. 5
  7. 49
  8. 63
  9. 2
  10. 71
  11. 8
  12. 25
  13. 4
  14. 7
  15. 13
  16. 15
  17. 2
  18. 2
  19. 4
  20. 11
  21. 4
  22. 19
  23. 2
  24. 3
  25. 8
  26. 43
  27. 3
  28. 6
  29. 7
  30. 42
  31. 12
  32. 19
  33. 18
  34. 19
  35. 23
  36. 51
  37. 6
  38. 4
  39. 5
  40. 40

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