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: 55 88 73 25 44 71. After step 2, what is the 5th number from the left?
- 2.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?
- 3.A number machine multiplies a number by 2 and then takes away 4. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 4.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 55 44 32 26 19. After step 3, what is the 3rd number from the left?
- 5.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 6.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 7.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 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: 76 52 39 30 73 23. After step 4, what is the 6th number from the left?
- 9.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: 83 14 25 16 76 68. After step 3, what is the 4th number from the left?
- 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: 95 21 15 67 85 77. After step 2, what is the 3rd 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: 28 49 99 34 71 55. After step 2, what is the 4th 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 51 69 63 42 66. After step 2, what is the 3rd 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: 70 62 71 72 25 33. After step 3, what is the 6th number from the left?
- 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: 62 44 47 97 96 27. After step 2, what is the 4th 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: 70 36 67 35 96 27. After step 3, what is the 5th 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 4. 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: 75 30 26 17 49 12. After step 4, what is the 4th number from the left?
- 18.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?
- 19.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?
- 20.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 5. What comes out after step 2?
- 21.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 81 80 38 60 24. After step 3, what is the 6th number from the left?
- 22.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 67 22 84 73 17. After step 4, what is the 1st number from the left?
- 23.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 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: 87 34 33 18 24 93. After step 2, what is the 1st number from the left?
- 25.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?
- 26.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 3?
- 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: 83 29 55 21 57 36. After step 3, what is the 1st 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: 71 40 85 66 86 88. After step 3, what is the 2nd number from the left?
- 29.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?
- 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: 73 78 86 99 80 42. After step 4, what is the 2nd number from the left?
- 31.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?
- 32.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 3?
- 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: 56 34 14 29 89 43. After step 3, what is the 5th 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: 42 70 60 58 30 80. 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: 53 98 40 63 17 95. 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: 41 83 23 76 38 53. After step 3, what is the 5th number from the left?
- 37.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 2?
- 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: 32 96 28 77 19 97. After step 2, what is the 1st number from the left?
- 39.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 40.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
Answer key
- 73
- 133
- 36
- 32
- 67
- 69
- 26
- 23
- 83
- 95
- 49
- 51
- 72
- 44
- 35
- 10
- 30
- 5
- 25
- 25
- 24
- 17
- 134
- 18
- 11
- 94
- 21
- 86
- 21
- 86
- 31
- 201
- 89
- 42
- 40
- 23
- 48
- 97
- 51
- 17
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