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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 57 · 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 9 and then doubled it. I got 34. What was my number?
  2. 2.Think of 3. Multiply it by 2, then add 1. What number do you end with?
  3. 3.Magic trick! Think of 3. Double it, add 8, halve it, then take away 3. What number do you get?
  4. 4.I thought of a number, added 1 and then doubled it. I got 32. What was my number?
  5. 5.I thought of a number, multiplied it by 3 and added 3. I got 21. What was my number?
  6. 6.Magic trick! Think of 18. Double it, add 4, halve it, then take away 18. What number do you get?
  7. 7.I thought of a number, multiplied it by 2 and added 3. I got 11. What was my number?
  8. 8.I thought of a number, added 3 and then doubled it. I got 28. What was my number?
  9. 9.Think of 5. Multiply it by 5, then add 1. What number do you end with?
  10. 10.Think of 14. Multiply it by 3, then add 5. What number do you end with?
  11. 11.Magic trick! Think of 18. Double it, add 12, halve it, then take away 18. What number do you get?
  12. 12.Magic trick! Think of 4. Double it, add 12, halve it, then take away 4. What number do you get?
  13. 13.I thought of a number, multiplied it by 4 and added 1. I got 41. What was my number?
  14. 14.Magic trick! Think of 18. Double it, add 16, halve it, then take away 18. What number do you get?
  15. 15.Magic trick! Think of 19. Double it, add 18, halve it, then take away 19. What number do you get?
  16. 16.Magic trick! Think of 4. Double it, add 4, halve it, then take away 4. What number do you get?
  17. 17.I thought of a number, multiplied it by 3 and added 9. I got 36. What was my number?
  18. 18.Magic trick! Think of 9. Double it, add 18, halve it, then take away 9. What number do you get?
  19. 19.Magic trick! Think of 7. Double it, add 6, halve it, then take away 7. What number do you get?
  20. 20.Magic trick! Think of 3. Double it, add 4, halve it, then take away 3. What number do you get?
  21. 21.I thought of a number, added 9 and then doubled it. I got 50. What was my number?
  22. 22.I thought of a number, multiplied it by 4 and added 2. I got 50. What was my number?
  23. 23.Think of 11. Multiply it by 5, then add 4. What number do you end with?
  24. 24.Magic trick! Think of 18. Double it, add 10, halve it, then take away 18. What number do you get?
  25. 25.Magic trick! Think of 16. Double it, add 10, halve it, then take away 16. What number do you get?
  26. 26.I thought of a number, multiplied it by 3 and added 2. I got 32. What was my number?
  27. 27.I thought of a number, added 1 and then doubled it. I got 36. What was my number?
  28. 28.I thought of a number, added 4 and then doubled it. I got 26. What was my number?
  29. 29.I thought of a number, multiplied it by 3 and added 1. I got 40. What was my number?
  30. 30.Magic trick! Think of 14. Double it, add 8, halve it, then take away 14. What number do you get?
  31. 31.Magic trick! Think of 18. Double it, add 14, halve it, then take away 18. What number do you get?
  32. 32.I thought of a number, multiplied it by 4 and added 1. I got 61. What was my number?
  33. 33.Magic trick! Think of 17. Double it, add 16, halve it, then take away 17. What number do you get?
  34. 34.Magic trick! Think of 2. Double it, add 8, halve it, then take away 2. What number do you get?
  35. 35.Think of 15. Multiply it by 3, then add 7. What number do you end with?
  36. 36.Magic trick! Think of 15. Double it, add 6, halve it, then take away 15. What number do you get?
  37. 37.I thought of a number, multiplied it by 3 and added 6. I got 33. What was my number?
  38. 38.I thought of a number, added 3 and then doubled it. I got 32. What was my number?
  39. 39.Think of 6. Multiply it by 2, then add 5. What number do you end with?
  40. 40.I thought of a number, multiplied it by 2 and added 3. I got 25. What was my number?

Answer key

  1. 8
  2. 7
  3. 4
  4. 15
  5. 6
  6. 2
  7. 4
  8. 11
  9. 26
  10. 47
  11. 6
  12. 6
  13. 10
  14. 8
  15. 9
  16. 2
  17. 9
  18. 9
  19. 3
  20. 2
  21. 16
  22. 12
  23. 59
  24. 5
  25. 5
  26. 10
  27. 17
  28. 9
  29. 13
  30. 4
  31. 7
  32. 15
  33. 8
  34. 4
  35. 52
  36. 3
  37. 9
  38. 13
  39. 17
  40. 11

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