Input Output Reasoning Worksheet
How to think it through (One step, one line): Read the rule carefully: what moves (or changes) in each step? Write the list (or number) after step 1, step 2, step 3 … each on a new line. Stop at the step asked and read the answer.
NameDateTime takenScore ___ / 40
- 1.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 2.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 3.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 12 24 94 71 52 79. After step 4, what is the 2nd number from the left?
- 4.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 5.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
- 6.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 7.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 8.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 90 45 25 55 78 15. After step 2, what is the 4th number from the left?
- 9.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 10.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 93 32 18 14 31 22. After step 3, what is the 4th number from the left?
- 11.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 79 22 44 25 43 54. After step 4, what is the 2nd number from the left?
- 12.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 33 64 60 52 83 25. After step 4, what is the 2nd number from the left?
- 13.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 14.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 64 34 26 79 41 69. After step 3, what is the 3rd number from the left?
- 15.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 73 23 97 80 20 74. After step 2, what is the 6th number from the left?
- 16.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 17.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 18.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 25 48 17 20 71 24. After step 2, what is the 1st number from the left?
- 19.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 30 65 79 33 71 93. After step 2, what is the 5th number from the left?
- 20.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 91 92 63 86 17 53. After step 4, what is the 6th number from the left?
- 21.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 22.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 73 84 90 99 17 60. After step 3, what is the 6th number from the left?
- 23.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 34 37 68 43 67 16. After step 3, what is the 1st number from the left?
- 24.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 25.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 44 54 65 34 85 14. After step 2, what is the 5th number from the left?
- 26.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 66 84 48 60 46 67. After step 3, what is the 2nd number from the left?
- 27.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 72 82 60 65 70 35. After step 2, what is the 1st number from the left?
- 28.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 29.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 56 29 79 54 11 31. After step 3, what is the 6th number from the left?
- 30.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 59 27 25 71 52 69. After step 2, what is the 2nd number from the left?
- 31.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 32.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 94 67 52 44 17 25. After step 3, what is the 1st number from the left?
- 33.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 40 51 18 28 27 55. After step 2, what is the 5th number from the left?
- 34.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 27 78 54 85 38 64. After step 3, what is the 3rd number from the left?
- 35.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 36.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 37.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 38.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 55 54 28 57 63 15. After step 2, what is the 2nd number from the left?
- 39.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 25 84 15 37 36 62. After step 3, what is the 1st number from the left?
- 40.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 57 72 81 73 75 33. After step 2, what is the 3rd number from the left?
Answer key
- 9
- 200
- 24
- 23
- 53
- 6
- 21
- 25
- 10
- 93
- 25
- 33
- 59
- 41
- 74
- 63
- 161
- 17
- 33
- 92
- 28
- 99
- 16
- 71
- 34
- 67
- 35
- 19
- 31
- 69
- 83
- 17
- 28
- 64
- 83
- 92
- 86
- 57
- 15
- 57
Free logical reasoning lessons, practice and worksheets at talentjr.in/logical-reasoning