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Think of a Number Puzzles Worksheet

Maths tricks trick 6: Think of a number · Set 156 · 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 2. Double it, add 10, halve it, then take away 2. What number do you get?
  2. 2.Magic trick! Think of 3. Double it, add 16, halve it, then take away 3. What number do you get?
  3. 3.I thought of a number, multiplied it by 4 and added 9. I got 41. What was my number?
  4. 4.I thought of a number, multiplied it by 5 and added 5. I got 65. What was my number?
  5. 5.Magic trick! Think of 5. Double it, add 10, halve it, then take away 5. What number do you get?
  6. 6.Think of 8. Multiply it by 2, then add 5. What number do you end with?
  7. 7.Magic trick! Think of 8. Double it, add 12, halve it, then take away 8. What number do you get?
  8. 8.Think of 9. Multiply it by 4, then add 2. What number do you end with?
  9. 9.Magic trick! Think of 8. Double it, add 10, halve it, then take away 8. What number do you get?
  10. 10.I thought of a number, added 1 and then doubled it. I got 8. What was my number?
  11. 11.Magic trick! Think of 20. Double it, add 4, halve it, then take away 20. What number do you get?
  12. 12.I thought of a number, multiplied it by 4 and added 1. I got 45. What was my number?
  13. 13.Think of 4. Multiply it by 2, then add 8. What number do you end with?
  14. 14.Think of 13. Multiply it by 3, then add 2. What number do you end with?
  15. 15.I thought of a number, multiplied it by 2 and added 1. I got 13. What was my number?
  16. 16.Magic trick! Think of 8. Double it, add 8, halve it, then take away 8. What number do you get?
  17. 17.I thought of a number, added 3 and then doubled it. I got 16. What was my number?
  18. 18.I thought of a number, multiplied it by 3 and added 2. I got 20. What was my number?
  19. 19.Think of 6. Multiply it by 2, then add 6. What number do you end with?
  20. 20.Magic trick! Think of 6. Double it, add 6, halve it, then take away 6. What number do you get?
  21. 21.I thought of a number, multiplied it by 4 and added 9. I got 65. What was my number?
  22. 22.Think of 5. Multiply it by 2, then add 4. What number do you end with?
  23. 23.Think of 2. Multiply it by 3, then add 1. What number do you end with?
  24. 24.I thought of a number, multiplied it by 3 and added 7. I got 28. What was my number?
  25. 25.I thought of a number, added 4 and then doubled it. I got 14. What was my number?
  26. 26.I thought of a number, multiplied it by 4 and added 2. I got 10. What was my number?
  27. 27.I thought of a number, multiplied it by 2 and added 2. I got 26. What was my number?
  28. 28.I thought of a number, multiplied it by 4 and added 1. I got 53. What was my number?
  29. 29.I thought of a number, multiplied it by 2 and added 6. I got 16. What was my number?
  30. 30.I thought of a number, multiplied it by 4 and added 1. I got 29. What was my number?
  31. 31.Think of 3. Multiply it by 4, then add 9. What number do you end with?
  32. 32.Magic trick! Think of 18. Double it, add 6, halve it, then take away 18. What number do you get?
  33. 33.Magic trick! Think of 15. Double it, add 10, halve it, then take away 15. What number do you get?
  34. 34.I thought of a number, multiplied it by 3 and added 2. I got 11. What was my number?
  35. 35.Magic trick! Think of 2. Double it, add 16, halve it, then take away 2. What number do you get?
  36. 36.Magic trick! Think of 4. Double it, add 4, halve it, then take away 4. What number do you get?
  37. 37.I thought of a number, added 5 and then doubled it. I got 44. What was my number?
  38. 38.I thought of a number, added 5 and then doubled it. I got 50. What was my number?
  39. 39.Magic trick! Think of 18. Double it, add 16, halve it, then take away 18. What number do you get?
  40. 40.I thought of a number, added 3 and then doubled it. I got 18. What was my number?

Answer key

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

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