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 4. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 2.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 3.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: 72 35 93 28 62 40. After step 4, what is the 5th number from the left?
- 4.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: 42 58 14 76 66 24. After step 2, what is the 5th number from the left?
- 5.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: 32 60 82 72 15 30. After step 2, what is the 6th number from the left?
- 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: 21 36 39 30 43 24. After step 4, what is the 2nd number from the left?
- 7.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: 22 26 85 73 12 65. After step 4, what is the 1st 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: 88 91 16 64 53 15. After step 4, what is the 6th number from the left?
- 9.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 10.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 11.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 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: 80 49 64 45 29 85. After step 4, what is the 5th number from the left?
- 13.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: 44 60 57 16 80 13. After step 2, what is the 6th number from the left?
- 14.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 15.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?
- 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: 39 90 41 81 94 10. After step 2, what is the 3rd number from the left?
- 17.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: 62 32 84 54 24 36. After step 4, what is the 3rd number from the left?
- 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: 38 94 61 44 33 11. After step 4, what is the 3rd number from the left?
- 19.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: 97 20 56 11 16 64. After step 4, what is the 6th number from the left?
- 20.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 21.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 94 16 75 58 53. After step 3, what is the 2nd number from the left?
- 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: 19 35 99 63 90 24. After step 2, what is the 1st number from the left?
- 23.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: 78 20 41 12 91 79. After step 4, what is the 3rd number from the left?
- 24.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 25.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 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: 38 76 96 39 98 77. After step 4, what is the 6th 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: 36 76 12 58 22 66. After step 4, what is the 3rd 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: 83 48 64 31 82 45. After step 2, what is the 6th number from the left?
- 29.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 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: 52 55 79 29 94 31. After step 2, what is the 1st number from the left?
- 31.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: 86 94 74 33 23 77. After step 2, what is the 3rd 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 82 50 84 79 75. After step 2, what is the 6th number from the left?
- 33.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?
- 34.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: 30 10 34 19 68 62. After step 4, what is the 3rd number from the left?
- 35.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 36.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 8. 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: 86 71 81 59 98 97. After step 3, what is the 5th 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: 35 36 97 88 98 31. After step 3, what is the 5th number from the left?
- 39.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: 76 46 45 92 11 31. 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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 44 63 99 55 96 66. After step 3, what is the 2nd number from the left?
Answer key
- 76
- 124
- 35
- 14
- 30
- 24
- 12
- 91
- 61
- 68
- 26
- 80
- 80
- 15
- 28
- 39
- 54
- 38
- 64
- 40
- 75
- 19
- 78
- 5
- 27
- 39
- 36
- 45
- 30
- 94
- 86
- 79
- 83
- 30
- 45
- 88
- 81
- 36
- 92
- 55
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