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 3. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 2.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?
- 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: 60 57 44 41 68 94. 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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 79 30 64 41 44 69. After step 2, what is the 1st number from the left?
- 5.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 70 15 13 74 36. After step 2, what is the 4th number from the left?
- 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 3?
- 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: 19 21 87 34 23 82. After step 4, what is the 2nd number from the left?
- 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: 96 79 32 13 36 42. After step 2, what is the 2nd number from the left?
- 9.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: 19 77 12 14 27 52. After step 2, what is the 6th number from the left?
- 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: 27 63 56 30 97 88. After step 2, what is the 3rd number from the left?
- 11.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: 87 88 12 93 39 20. After step 4, what is the 1st 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: 16 79 17 11 36 33. After step 3, what is the 4th 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: 17 22 52 64 46 99. After step 3, what is the 5th number from the left?
- 14.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: 15 60 80 36 44 96. After step 2, what is the 5th number from the left?
- 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: 28 37 61 55 82 57. After step 2, what is the 6th number from the left?
- 16.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 17.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: 85 98 34 45 96 58. After step 2, what is the 5th number from the left?
- 18.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: 33 64 34 35 40 92. After step 4, what is the 5th 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: 12 69 72 83 56 76. After step 3, what is the 2nd number from the left?
- 20.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: 34 70 56 81 50 35. After step 3, what is the 1st number from the left?
- 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: 52 79 66 32 63 74. After step 2, what is the 5th number from the left?
- 22.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 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: 22 45 60 65 33 77. After step 4, what is the 6th number from the left?
- 24.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 25.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 26.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 27.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 5. What comes out after step 2?
- 28.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 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: 61 38 80 96 75 94. After step 2, what is the 1st number from the left?
- 30.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: 10 99 64 96 76 15. After step 2, what is the 3rd number from the left?
- 31.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 32.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 39 86 67 99 17. After step 2, what is the 5th 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: 87 54 69 38 55 17. 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: 30 92 16 74 72 95. After step 4, 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: 35 95 71 68 12 79. After step 4, what is the 5th number from the left?
- 36.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 95 19 92 10 36. After step 2, what is the 5th number from the left?
- 37.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 3?
- 38.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
- 39.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?
- 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 78 84 29 71 54. After step 3, what is the 2nd number from the left?
Answer key
- 23
- 63
- 44
- 30
- 70
- 10
- 82
- 79
- 27
- 63
- 93
- 79
- 64
- 36
- 57
- 163
- 96
- 33
- 76
- 81
- 63
- 67
- 77
- 80
- 215
- 150
- 25
- 149
- 38
- 99
- 16
- 67
- 69
- 74
- 35
- 10
- 242
- 49
- 86
- 44
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