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 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: 11 37 13 25 12 93. After step 3, what is the 5th number from the left?
- 2.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 6. 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: 14 16 29 65 12 31. After step 4, what is the 2nd 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: 51 27 62 57 29 61. After step 4, what is the 1st 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: 27 58 32 42 37 54. After step 4, what is the 2nd 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: 68 42 92 77 57 53. After step 3, 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: 61 97 34 22 79 87. After step 2, what is the 6th number from the left?
- 8.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 9.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: 62 16 94 20 77 83. After step 3, what is the 2nd number from the left?
- 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: 86 82 27 23 41 60. After step 2, what is the 4th number from the left?
- 11.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 12.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 3?
- 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: 66 35 62 79 87 48. After step 4, what is the 1st number from the left?
- 14.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?
- 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: 19 28 72 68 54 78. After step 3, what is the 2nd number from the left?
- 16.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 32 96 66 52 49. After step 2, what is the 4th number from the left?
- 17.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 3?
- 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: 40 84 26 43 88 62. After step 3, what is the 5th 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: 45 94 83 27 71 60. After step 2, what is the 1st 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: 21 13 88 81 48 76. After step 2, what is the 2nd number from the left?
- 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: 85 57 20 18 48 95. After step 3, what is the 1st number from the left?
- 22.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?
- 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: 31 22 10 28 47 43. After step 3, what is the 2nd number from the left?
- 24.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: 60 32 69 38 92 97. After step 4, what is the 2nd number from the left?
- 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: 31 39 61 75 62 73. After step 3, what is the 2nd 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: 33 18 17 46 11 93. After step 4, what is the 3rd 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: 73 15 39 76 96 28. After step 4, what is the 6th 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: 92 87 67 98 73 39. After step 4, what is the 2nd number from the left?
- 29.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 30.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 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: 13 18 62 88 31 34. After step 4, what is the 1st number from the left?
- 32.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 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: 76 79 20 88 26 48. 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: 63 80 44 95 65 40. After step 4, what is the 3rd number from the left?
- 35.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 36.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: 43 23 42 45 12 39. After step 3, what is the 4th number from the left?
- 37.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 2?
- 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: 32 94 89 69 90 22. After step 3, 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: 64 24 34 20 15 17. After step 4, what is the 6th 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: 39 60 58 13 47 41. After step 4, what is the 4th number from the left?
Answer key
- 13
- 69
- 14
- 27
- 54
- 77
- 79
- 6
- 20
- 23
- 41
- 51
- 35
- 161
- 72
- 96
- 47
- 26
- 27
- 81
- 95
- 6
- 22
- 38
- 73
- 18
- 28
- 92
- 20
- 33
- 88
- 56
- 26
- 65
- 10
- 43
- 51
- 90
- 34
- 41
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