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: 84 58 32 64 87 55. After step 4, what is the 1st number from the left?
- 2.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: 98 65 17 76 47 34. After step 2, what is the 6th number from the left?
- 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: 30 73 98 38 58 77. After step 2, what is the 6th 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: 69 75 66 27 58 26. After step 4, what is the 5th 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: 74 57 39 13 18 55. After step 2, what is the 3rd 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: 51 34 97 88 72 47. After step 2, what is the 2nd number from the left?
- 7.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 2?
- 8.A number machine multiplies a number by 3 and then adds 4. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 59 44 48 49 68 25. After step 3, what is the 2nd number from the left?
- 10.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 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: 38 59 65 47 77 37. After step 2, what is the 5th 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: 34 64 50 71 85 40. After step 4, what is the 2nd 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: 54 43 82 28 55 75. After step 2, what is the 6th number from the left?
- 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: 31 16 57 42 72 33. After step 3, what is the 4th number from the left?
- 15.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 3. 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: 97 19 94 57 87 91. After step 3, what is the 2nd number from the left?
- 17.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 2?
- 18.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 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: 44 53 73 93 17 50. After step 2, what is the 5th number from the left?
- 20.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 21.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 3?
- 22.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 2?
- 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: 95 50 82 35 81 97. After step 2, what is the 4th number from the left?
- 24.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 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: 13 95 45 36 65 15. After step 3, what is the 1st 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: 42 17 76 77 20 36. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 44 80 40 79 47 12. After step 2, what is the 4th 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 12 10 85 63 23. After step 3, what is the 2nd number from the left?
- 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: 11 52 46 57 12 22. After step 3, what is the 1st 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: 13 11 73 54 69 68. After step 3, what is the 6th 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: 69 21 54 82 30 65. After step 3, what is the 4th number from the left?
- 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: 21 49 36 16 94 33. After step 2, what is the 4th 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: 68 83 58 50 91 85. After step 2, what is the 3rd number from the left?
- 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: 78 48 24 71 45 83. After step 4, what is the 2nd number from the left?
- 35.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?
- 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: 31 51 79 42 75 67. After step 2, what is the 2nd number from the left?
- 37.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: 55 35 44 21 45 88. After step 4, what is the 2nd number from the left?
- 38.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 39.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 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: 72 64 50 14 82 25. After step 4, what is the 2nd number from the left?
Answer key
- 87
- 47
- 58
- 69
- 74
- 47
- 40
- 34
- 59
- 13
- 47
- 40
- 75
- 57
- 38
- 94
- 32
- 46
- 93
- 34
- 44
- 35
- 82
- 18
- 13
- 76
- 40
- 85
- 57
- 54
- 69
- 36
- 68
- 45
- 86
- 42
- 35
- 31
- 148
- 25
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