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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 38 96 90 92 97 35. After step 4, what is the 2nd number from the left?
- 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: 96 14 76 78 45 27. After step 4, what is the 1st number from the left?
- 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: 84 31 12 93 94 40. After step 3, what is the 5th number from the left?
- 4.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 2?
- 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: 58 31 74 45 59 71. 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: 11 30 14 86 26 92. After step 3, what is the 3rd 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: 19 20 10 46 61 35. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 24 71 70 28 92 64. After step 4, what is the 2nd number from the left?
- 9.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 10.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 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: 25 42 32 61 83 82. 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: 61 15 63 30 88 57. After step 3, what is the 1st 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: 94 11 42 28 29 10. After step 3, what is the 1st number from the left?
- 14.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 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: 69 50 43 75 36 56. After step 4, what is the 6th 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: 33 72 45 60 65 77. After step 3, what is the 3rd number from the left?
- 17.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 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: 15 30 78 25 67 55. After step 3, what is the 4th number from the left?
- 19.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 20.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 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: 86 45 27 10 36 91. After step 2, what is the 3rd number from the left?
- 22.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 88 42 37 23 85. After step 4, what is the 6th number from the left?
- 23.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 2?
- 24.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 3?
- 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: 31 38 25 93 76 44. After step 2, what is the 1st number from the left?
- 26.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 27.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?
- 28.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: 53 69 80 27 88 10. After step 2, what is the 5th 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: 39 72 56 62 13 38. 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: 67 41 33 10 26 51. After step 4, what is the 3rd 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: 26 23 37 39 65 81. After step 4, what is the 4th 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: 85 43 71 31 40 32. After step 4, what is the 6th number from the left?
- 33.A number machine multiplies a number by 2 and then takes away 4. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 34.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
- 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: 59 88 40 76 45 28. After step 3, 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: 30 32 38 74 14 51. After step 4, 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: 51 46 41 85 11 80. 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: 81 58 13 82 62 42. After step 4, what is the 4th 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: 26 95 59 55 92 12. After step 4, what is the 4th number from the left?
- 40.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 9. What comes out after step 3?
Answer key
- 38
- 96
- 93
- 15
- 58
- 26
- 10
- 71
- 89
- 30
- 83
- 15
- 94
- 24
- 36
- 60
- 31
- 15
- 48
- 20
- 86
- 23
- 10
- 268
- 25
- 100
- 5
- 80
- 72
- 33
- 39
- 71
- 12
- 53
- 45
- 51
- 85
- 58
- 59
- 65
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