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: 53 61 30 22 98 11. After step 3, what is the 4th number from the left?
- 2.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?
- 3.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 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: 17 54 52 73 22 15. After step 2, what is the 6th number from the left?
- 5.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 6.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?
- 7.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 8.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 9.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 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: 10 49 68 52 40 29. After step 3, what is the 1st 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: 52 20 96 92 11 16. After step 2, what is the 3rd number from the left?
- 12.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 72 29 30 96 13. After step 3, what is the 6th number from the left?
- 13.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 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: 22 43 25 41 74 28. After step 4, what is the 6th 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: 65 78 89 17 81 12. After step 2, what is the 1st number from the left?
- 16.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 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: 18 26 79 67 49 80. After step 4, what is the 5th number from the left?
- 18.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 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: 10 85 37 67 49 38. After step 4, what is the 6th number from the left?
- 20.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 21.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 22.A number machine multiplies a number by 3 and then adds 1. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 18 66 34 76 15 44. After step 3, what is the 3rd number from the left?
- 24.A number machine multiplies a number by 3 and then takes away 5. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 61 85 92 78 59 49. After step 2, what is the 5th 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: 20 48 89 34 82 59. After step 3, what is the 1st 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: 10 53 85 16 51 74. After step 4, what is the 2nd 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: 20 37 23 31 11 76. After step 4, what is the 1st number from the left?
- 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: 94 88 83 59 95 47. After step 2, what is the 4th 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: 22 80 96 19 71 93. After step 2, what is the 5th number from the left?
- 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: 53 23 17 33 95 12. After step 2, what is the 2nd 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: 37 66 50 68 94 31. After step 3, 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: 47 38 45 30 28 11. After step 4, 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: 59 51 38 17 61 46. After step 4, what is the 5th 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: 57 50 37 19 90 86. After step 2, what is the 6th number from the left?
- 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: 63 27 48 30 22 75. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 24 75 88 27 22 82. After step 4, what is the 2nd number from the left?
- 38.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 2?
- 39.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 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: 19 49 83 96 20 60. After step 2, what is the 4th number from the left?
Answer key
- 53
- 5
- 14
- 22
- 217
- 30
- 151
- 66
- 255
- 10
- 52
- 13
- 178
- 25
- 89
- 21
- 79
- 37
- 37
- 99
- 42
- 31
- 44
- 34
- 59
- 89
- 16
- 76
- 88
- 71
- 53
- 37
- 38
- 59
- 19
- 27
- 82
- 17
- 23
- 49
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