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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 83 · 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 3 and added 7. I got 25. What was my number?
  2. 2.I thought of a number, added 4 and then doubled it. I got 30. What was my number?
  3. 3.I thought of a number, added 4 and then doubled it. I got 36. What was my number?
  4. 4.I thought of a number, multiplied it by 3 and added 7. I got 16. What was my number?
  5. 5.Magic trick! Think of 2. Double it, add 4, halve it, then take away 2. What number do you get?
  6. 6.I thought of a number, multiplied it by 5 and added 7. I got 67. What was my number?
  7. 7.Magic trick! Think of 14. Double it, add 8, halve it, then take away 14. What number do you get?
  8. 8.Think of 15. Multiply it by 2, then add 9. What number do you end with?
  9. 9.Magic trick! Think of 13. Double it, add 10, halve it, then take away 13. What number do you get?
  10. 10.Magic trick! Think of 2. Double it, add 16, halve it, then take away 2. What number do you get?
  11. 11.Magic trick! Think of 15. Double it, add 4, halve it, then take away 15. What number do you get?
  12. 12.Magic trick! Think of 6. Double it, add 18, halve it, then take away 6. What number do you get?
  13. 13.Magic trick! Think of 20. Double it, add 10, halve it, then take away 20. What number do you get?
  14. 14.I thought of a number, multiplied it by 2 and added 8. I got 24. What was my number?
  15. 15.Think of 4. Multiply it by 2, then add 4. What number do you end with?
  16. 16.Think of 6. Multiply it by 4, then add 6. What number do you end with?
  17. 17.Think of 15. Multiply it by 3, then add 9. What number do you end with?
  18. 18.Think of 7. Multiply it by 4, then add 2. What number do you end with?
  19. 19.Think of 2. Multiply it by 3, then add 8. What number do you end with?
  20. 20.I thought of a number, added 6 and then doubled it. I got 50. What was my number?
  21. 21.Magic trick! Think of 5. Double it, add 6, halve it, then take away 5. What number do you get?
  22. 22.I thought of a number, added 2 and then doubled it. I got 10. What was my number?
  23. 23.Magic trick! Think of 10. Double it, add 6, halve it, then take away 10. What number do you get?
  24. 24.Magic trick! Think of 3. Double it, add 4, halve it, then take away 3. What number do you get?
  25. 25.I thought of a number, multiplied it by 3 and added 1. I got 43. What was my number?
  26. 26.I thought of a number, multiplied it by 5 and added 3. I got 43. What was my number?
  27. 27.Magic trick! Think of 2. Double it, add 14, halve it, then take away 2. What number do you get?
  28. 28.I thought of a number, multiplied it by 2 and added 7. I got 13. What was my number?
  29. 29.I thought of a number, added 8 and then doubled it. I got 54. What was my number?
  30. 30.I thought of a number, added 5 and then doubled it. I got 20. What was my number?
  31. 31.Magic trick! Think of 2. Double it, add 6, halve it, then take away 2. What number do you get?
  32. 32.I thought of a number, added 1 and then doubled it. I got 42. What was my number?
  33. 33.I thought of a number, multiplied it by 5 and added 3. I got 18. What was my number?
  34. 34.Think of 12. Multiply it by 2, then add 5. What number do you end with?
  35. 35.Magic trick! Think of 10. Double it, add 4, halve it, then take away 10. What number do you get?
  36. 36.Magic trick! Think of 16. Double it, add 6, halve it, then take away 16. What number do you get?
  37. 37.Magic trick! Think of 14. Double it, add 6, halve it, then take away 14. What number do you get?
  38. 38.Magic trick! Think of 3. Double it, add 12, halve it, then take away 3. What number do you get?
  39. 39.Think of 3. Multiply it by 3, then add 1. What number do you end with?
  40. 40.Magic trick! Think of 17. Double it, add 4, halve it, then take away 17. What number do you get?

Answer key

  1. 6
  2. 11
  3. 14
  4. 3
  5. 2
  6. 12
  7. 4
  8. 39
  9. 5
  10. 8
  11. 2
  12. 9
  13. 5
  14. 8
  15. 12
  16. 30
  17. 54
  18. 30
  19. 14
  20. 19
  21. 3
  22. 3
  23. 3
  24. 2
  25. 14
  26. 8
  27. 7
  28. 3
  29. 19
  30. 5
  31. 3
  32. 20
  33. 3
  34. 29
  35. 2
  36. 3
  37. 3
  38. 6
  39. 10
  40. 2

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