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: 65 16 31 46 62 13. After step 2, what is the 6th 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: 38 35 20 63 64 28. After step 4, what is the 6th 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: 85 96 21 61 39 86. After step 2, what is the 1st number from the left?
- 4.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?
- 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: 21 90 36 76 38 65. After step 4, what is the 1st number from the left?
- 6.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?
- 7.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 8.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?
- 9.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?
- 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: 98 49 71 85 80 20. After step 3, what is the 4th number from the left?
- 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: 10 41 71 74 25 19. After step 4, what is the 3rd 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: 98 57 55 26 43 18. After step 4, what is the 3rd 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: 39 11 31 87 63 27. After step 3, what is the 6th number from the left?
- 14.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 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 12 18 74 81 25. After step 3, what is the 5th number from the left?
- 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: 75 18 79 55 97 67. After step 2, what is the 3rd number from the left?
- 17.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 5. 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: 12 63 71 20 31 61. After step 4, what is the 4th number from the left?
- 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: 77 23 17 53 50 35. After step 4, what is the 3rd number from the left?
- 20.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 21.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 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: 14 99 60 13 12 86. After step 2, what is the 4th number from the left?
- 23.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 24.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 9. 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: 44 72 12 64 25 69. After step 4, what is the 4th 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 3. What comes out after step 3?
- 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: 99 54 53 42 67 91. After step 4, what is the 3rd 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: 86 95 12 88 35 10. After step 4, what is the 6th 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: 65 87 21 72 83 12. After step 4, what is the 6th number from the left?
- 30.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?
- 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: 88 39 63 38 65 34. After step 3, 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: 19 56 72 82 16 73. After step 2, what is the 6th number from the left?
- 33.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 97 67 85 37 24. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 51 20 62 71 14 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: 25 98 82 30 33 11. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 39 40 54 49 87 35. After step 3, what is the 6th number from the left?
- 37.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 38.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 3?
- 39.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 11 28 48 86 49. After step 2, what is the 2nd number from the left?
- 40.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 3. What comes out after step 2?
Answer key
- 62
- 28
- 21
- 44
- 21
- 48
- 55
- 9
- 69
- 49
- 25
- 43
- 27
- 173
- 12
- 75
- 37
- 31
- 50
- 122
- 44
- 60
- 25
- 282
- 64
- 52
- 67
- 10
- 83
- 32
- 38
- 16
- 97
- 62
- 11
- 35
- 15
- 62
- 86
- 23
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