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: 75 70 41 43 23 25. After step 3, what is the 6th 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: 77 48 14 65 16 31. After step 3, what is the 3rd 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: 87 26 78 67 34 90. After step 3, what is the 5th number from the left?
- 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: 78 84 92 46 27 61. After step 3, what is the 2nd number from the left?
- 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: 50 98 30 23 97 40. After step 4, what is the 4th number from the left?
- 6.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 2?
- 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: 89 96 82 36 56 11. After step 4, 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: 83 56 47 80 67 78. After step 3, what is the 4th 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: 14 15 69 10 46 19. After step 2, what is the 5th 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: 28 23 65 17 88 14. After step 3, what is the 4th number from the left?
- 11.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 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: 74 38 60 20 73 77. After step 4, what is the 6th number from the left?
- 13.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?
- 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: 53 10 36 32 55 47. After step 4, what is the 3rd number from the left?
- 15.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 16.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?
- 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: 24 12 54 79 78 30. After step 2, what is the 5th number from the left?
- 18.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 35 47 32 22 52. After step 4, what is the 4th number from the left?
- 19.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 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: 83 85 53 59 92 27. After step 2, what is the 6th 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: 91 77 30 44 90 45. After step 2, what is the 3rd number from the left?
- 22.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 2. 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: 88 20 12 31 29 76. After step 2, what is the 2nd number from the left?
- 24.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 8. 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: 13 15 78 22 55 65. After step 2, what is the 3rd number from the left?
- 26.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 51 15 67 37 72. After step 4, what is the 3rd number from the left?
- 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: 38 87 68 65 63 74. After step 4, what is the 1st number from the left?
- 28.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?
- 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 19 69 97 34 13. After step 4, what is the 3rd number from the left?
- 30.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 4. 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: 96 66 18 22 75 99. After step 2, what is the 6th number from the left?
- 32.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 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: 72 90 46 74 65 48. After step 3, what is the 6th 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: 44 26 68 96 41 84. After step 3, what is the 6th number from the left?
- 35.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 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: 53 46 41 26 39 58. After step 2, what is the 4th 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: 54 72 85 51 82 75. After step 4, what is the 6th 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: 91 14 55 77 69 92. After step 3, what is the 3rd 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: 30 24 71 70 54 63. After step 2, what is the 2nd number from the left?
- 40.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
Answer key
- 25
- 31
- 78
- 46
- 50
- 7
- 11
- 56
- 46
- 23
- 26
- 20
- 10
- 47
- 214
- 52
- 78
- 35
- 22
- 92
- 91
- 14
- 76
- 35
- 13
- 51
- 87
- 10
- 34
- 24
- 99
- 62
- 48
- 84
- 85
- 46
- 51
- 77
- 30
- 69
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