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: 76 24 34 54 96 27. After step 2, what is the 1st number from the left?
- 2.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 3?
- 3.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?
- 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: 76 93 72 83 32 97. After step 3, what is the 6th number from the left?
- 5.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 56 25 23 48 82. After step 2, what is the 6th 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: 71 53 33 57 96 72. After step 2, what is the 4th 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: 56 24 77 70 12 35. After step 4, what is the 2nd 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: 22 61 15 80 55 33. After step 4, what is the 3rd 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: 98 75 41 85 63 62. After step 3, what is the 3rd number from the left?
- 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: 56 81 34 97 82 51. After step 4, what is the 1st number from the left?
- 11.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?
- 12.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?
- 13.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 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: 35 79 20 56 62 55. After step 2, what is the 5th number from the left?
- 15.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 2?
- 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 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: 55 22 94 82 17 64. After step 3, what is the 4th number from the left?
- 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: 88 58 96 37 51 73. 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: 54 57 87 78 99 31. After step 3, what is the 1st number from the left?
- 20.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: 77 20 45 89 67 30. After step 2, what is the 2nd number from the left?
- 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: 74 79 40 23 64 18. After step 3, 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: 62 29 43 39 46 30. After step 2, what is the 5th number from the left?
- 23.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 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: 56 90 49 46 14 67. After step 2, what is the 6th number from the left?
- 25.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?
- 26.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 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: 23 30 29 60 12 14. After step 3, what is the 4th 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: 14 81 22 34 87 84. After step 2, 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: 32 62 16 37 98 34. After step 2, 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 4. What comes out after step 3?
- 31.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 2?
- 32.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 33.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?
- 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: 98 74 73 67 52 64. After step 4, what is the 3rd number from the left?
- 35.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?
- 36.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 9. 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: 98 24 74 82 21 49. After step 4, what is the 3rd number from the left?
- 38.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 84 23 25 83 19. After step 2, 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: 77 39 47 54 64 45. After step 3, what is the 5th number from the left?
- 40.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?
Answer key
- 24
- 202
- 10
- 32
- 48
- 57
- 70
- 55
- 63
- 97
- 24
- 9
- 32
- 56
- 6
- 41
- 55
- 58
- 99
- 30
- 40
- 39
- 68
- 67
- 23
- 51
- 30
- 87
- 34
- 60
- 25
- 9
- 10
- 67
- 12
- 30
- 49
- 84
- 54
- 151
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