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 adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
- 2.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: 39 18 44 93 41 17. After step 2, what is the 3rd number from the left?
- 3.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 4.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 5.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 6.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: 13 78 98 43 50 81. After step 4, what is the 6th number from the left?
- 7.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: 46 71 17 19 15 63. After step 4, what is the 6th number from the left?
- 8.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 49 73 40 18 57. After step 2, what is the 2nd number from the left?
- 9.A number machine multiplies a number by 2 and then adds 1. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 22 87 60 28 81 23. After step 3, what is the 2nd 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: 99 36 22 82 17 91. After step 2, what is the 1st number from the left?
- 12.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: 70 53 25 32 24 73. After step 2, what is the 4th number from the left?
- 13.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: 80 92 77 44 23 49. After step 4, what is the 4th number from the left?
- 14.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 4. What comes out after step 3?
- 15.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: 24 58 10 66 21 88. After step 2, what is the 2nd number from the left?
- 16.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: 52 41 18 83 62 54. After step 4, what is the 4th number from the left?
- 17.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 4. What comes out after step 3?
- 18.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 19.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 20.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 4. What comes out after step 3?
- 21.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: 24 82 87 90 56 27. After step 3, what is the 1st number from the left?
- 22.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 23.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 2?
- 24.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: 46 11 70 19 80 49. After step 2, what is the 5th number from the left?
- 25.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: 14 90 37 87 29 58. 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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 91 59 81 61 60 55. After step 3, what is the 4th number from the left?
- 27.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 32 84 80 36 35. After step 3, what is the 1st number from the left?
- 28.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: 26 95 90 55 56 71. After step 2, what is the 1st number from the left?
- 29.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: 82 27 86 84 30 14. After step 4, 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: 91 31 34 85 77 18. After step 4, what is the 4th number from the left?
- 31.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: 23 71 43 73 33 49. After step 4, what is the 1st number from the left?
- 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 13 21 91 39 11. After step 4, what is the 1st number from the left?
- 33.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: 89 22 69 13 71 45. After step 3, what is the 2nd 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: 89 78 90 30 28 94. After step 2, what is the 3rd number from the left?
- 35.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: 88 20 25 41 94 23. After step 4, what is the 1st number from the left?
- 36.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 37.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: 25 67 59 30 16 22. After step 3, what is the 3rd number from the left?
- 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: 45 10 26 75 88 15. After step 4, what is the 1st 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 39 10 42 59 65. After step 2, what is the 4th 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: 43 32 76 58 60 53. After step 3, what is the 4th number from the left?
Answer key
- 23
- 39
- 37
- 27
- 177
- 81
- 15
- 33
- 11
- 81
- 17
- 25
- 49
- 121
- 66
- 52
- 82
- 80
- 77
- 39
- 24
- 11
- 39
- 19
- 87
- 91
- 84
- 95
- 84
- 34
- 73
- 11
- 71
- 89
- 94
- 28
- 30
- 88
- 42
- 43
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