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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 118 · 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 1. I got 53. What was my number?
  2. 2.Think of 2. Multiply it by 5, then add 5. What number do you end with?
  3. 3.Think of 12. Multiply it by 3, then add 3. What number do you end with?
  4. 4.Magic trick! Think of 4. Double it, add 8, halve it, then take away 4. What number do you get?
  5. 5.Think of 14. Multiply it by 5, then add 2. What number do you end with?
  6. 6.Think of 11. Multiply it by 4, then add 2. What number do you end with?
  7. 7.Think of 8. Multiply it by 4, then add 3. What number do you end with?
  8. 8.Think of 15. Multiply it by 3, then add 6. What number do you end with?
  9. 9.Magic trick! Think of 16. Double it, add 18, halve it, then take away 16. What number do you get?
  10. 10.I thought of a number, added 9 and then doubled it. I got 58. What was my number?
  11. 11.I thought of a number, multiplied it by 2 and added 5. I got 11. What was my number?
  12. 12.Magic trick! Think of 12. Double it, add 6, halve it, then take away 12. What number do you get?
  13. 13.I thought of a number, multiplied it by 2 and added 7. I got 15. What was my number?
  14. 14.Magic trick! Think of 4. Double it, add 12, halve it, then take away 4. What number do you get?
  15. 15.I thought of a number, added 9 and then doubled it. I got 24. What was my number?
  16. 16.Magic trick! Think of 16. Double it, add 6, halve it, then take away 16. What number do you get?
  17. 17.Magic trick! Think of 13. Double it, add 6, halve it, then take away 13. What number do you get?
  18. 18.Magic trick! Think of 6. Double it, add 18, halve it, then take away 6. What number do you get?
  19. 19.Magic trick! Think of 6. Double it, add 12, halve it, then take away 6. What number do you get?
  20. 20.I thought of a number, multiplied it by 2 and added 8. I got 14. What was my number?
  21. 21.I thought of a number, added 9 and then doubled it. I got 34. What was my number?
  22. 22.Magic trick! Think of 10. Double it, add 12, halve it, then take away 10. What number do you get?
  23. 23.I thought of a number, multiplied it by 5 and added 8. I got 23. What was my number?
  24. 24.Think of 13. Multiply it by 3, then add 3. What number do you end with?
  25. 25.I thought of a number, added 8 and then doubled it. I got 46. What was my number?
  26. 26.Think of 9. Multiply it by 4, then add 5. What number do you end with?
  27. 27.I thought of a number, multiplied it by 5 and added 4. I got 69. What was my number?
  28. 28.Magic trick! Think of 9. Double it, add 16, halve it, then take away 9. What number do you get?
  29. 29.Think of 10. Multiply it by 5, then add 3. What number do you end with?
  30. 30.Magic trick! Think of 14. Double it, add 16, halve it, then take away 14. What number do you get?
  31. 31.Think of 7. Multiply it by 5, then add 7. What number do you end with?
  32. 32.I thought of a number, added 3 and then doubled it. I got 22. What was my number?
  33. 33.I thought of a number, multiplied it by 2 and added 5. I got 19. What was my number?
  34. 34.I thought of a number, multiplied it by 2 and added 3. I got 11. What was my number?
  35. 35.I thought of a number, added 7 and then doubled it. I got 48. What was my number?
  36. 36.Magic trick! Think of 2. Double it, add 8, halve it, then take away 2. What number do you get?
  37. 37.Think of 5. Multiply it by 3, then add 2. What number do you end with?
  38. 38.I thought of a number, multiplied it by 4 and added 4. I got 24. What was my number?
  39. 39.I thought of a number, multiplied it by 3 and added 6. I got 42. What was my number?
  40. 40.Think of 4. Multiply it by 2, then add 6. What number do you end with?

Answer key

  1. 13
  2. 15
  3. 39
  4. 4
  5. 72
  6. 46
  7. 35
  8. 51
  9. 9
  10. 20
  11. 3
  12. 3
  13. 4
  14. 6
  15. 3
  16. 3
  17. 3
  18. 9
  19. 6
  20. 3
  21. 8
  22. 6
  23. 3
  24. 42
  25. 15
  26. 41
  27. 13
  28. 8
  29. 53
  30. 8
  31. 42
  32. 8
  33. 7
  34. 4
  35. 17
  36. 4
  37. 17
  38. 5
  39. 12
  40. 14

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