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: 28 92 51 13 45 16. After step 3, what is the 5th 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: 57 93 19 56 13 79. After step 2, what is the 6th number from the left?
- 3.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 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 3?
- 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: 13 58 70 82 89 11. After step 4, what is the 5th 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: 36 39 49 20 80 46. After step 4, what is the 5th number from the left?
- 7.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: 40 14 20 49 37 23. After step 2, 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: 92 88 15 71 35 93. After step 2, what is the 5th 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: 28 67 30 19 76 84. After step 2, what is the 5th number from the left?
- 10.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 3?
- 11.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 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: 33 28 23 63 49 29. After step 4, what is the 2nd number from the left?
- 13.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 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: 74 60 58 49 75 12. After step 2, what is the 3rd 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: 12 63 21 57 30 34. After step 4, what is the 2nd number from the left?
- 16.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 17.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: 50 93 33 89 90 78. After step 4, what is the 1st number from the left?
- 18.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
- 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: 68 21 77 82 25 98. After step 4, what is the 2nd number from the left?
- 20.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 2?
- 21.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 3?
- 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: 98 61 16 43 28 17. After step 3, what is the 2nd number from the left?
- 23.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 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: 26 56 22 94 89 17. After step 2, what is the 1st number from the left?
- 25.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 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: 69 71 29 33 53 97. After step 4, what is the 5th number from the left?
- 27.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?
- 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: 88 85 50 16 58 53. After step 3, what is the 6th number from the left?
- 29.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?
- 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: 81 92 71 45 30 25. After step 2, 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: 75 41 99 90 71 32. After step 4, 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: 35 23 19 32 87 34. After step 3, what is the 1st number from the left?
- 33.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 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: 38 12 64 20 40 27. After step 2, what is the 2nd 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: 27 29 65 18 99 38. After step 3, what is the 4th number from the left?
- 36.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 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: 33 80 69 31 45 62. After step 2, what is the 2nd 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: 71 90 29 69 45 85. After step 2, what is the 3rd number from the left?
- 39.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?
- 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: 17 29 24 33 59 46. After step 2, what is the 2nd number from the left?
Answer key
- 13
- 79
- 133
- 31
- 82
- 49
- 23
- 71
- 30
- 15
- 110
- 28
- 9
- 60
- 57
- 50
- 93
- 11
- 25
- 84
- 97
- 61
- 16
- 17
- 174
- 29
- 49
- 58
- 6
- 81
- 41
- 87
- 69
- 40
- 27
- 30
- 33
- 71
- 10
- 46
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