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: 64 99 82 53 10 77. 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: 54 65 59 77 66 22. After step 2, what is the 5th 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: 44 19 79 80 57 54. 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: 55 27 20 85 34 32. After step 2, what is the 3rd 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: 42 46 96 39 60 22. After step 3, what is the 1st number from the left?
- 6.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 85 49 34 93 62. After step 3, 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: 63 14 56 65 85 71. After step 4, what is the 6th number from the left?
- 8.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 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: 95 87 35 61 81 63. After step 3, what is the 1st number from the left?
- 10.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 2?
- 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: 74 22 15 30 27 85. After step 4, what is the 2nd 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: 45 32 72 86 11 43. After step 2, what is the 2nd 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: 29 38 98 88 86 22. After step 2, what is the 2nd number from the left?
- 14.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 94 91 32 86 36. After step 3, what is the 2nd number from the left?
- 15.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 32 77 29 53 47. After step 4, what is the 1st number from the left?
- 16.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: 54 53 87 28 14 77. After step 2, what is the 3rd number from the left?
- 17.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?
- 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: 46 61 33 19 10 82. After step 3, what is the 5th number from the left?
- 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: 64 57 23 18 44 15. After step 3, what is the 2nd 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: 55 82 37 31 17 56. After step 4, what is the 4th number from the left?
- 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: 53 21 75 41 96 50. After step 2, what is the 6th number from the left?
- 22.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?
- 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: 97 32 18 30 29 11. After step 4, what is the 5th number from the left?
- 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: 51 30 20 16 26 13. After step 2, what is the 1st number from the left?
- 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: 95 93 45 70 82 49. After step 3, what is the 6th number from the left?
- 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: 16 50 56 36 71 70. After step 3, what is the 3rd number from the left?
- 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 98 65 97 77 10. After step 4, what is the 6th 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: 17 85 34 16 78 30. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 15 47 38 68 28 74. After step 2, what is the 1st number from the left?
- 30.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?
- 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: 11 39 19 60 73 64. After step 2, what is the 6th number from the left?
- 32.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 7. 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: 29 41 57 14 11 91. After step 2, what is the 5th number from the left?
- 34.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?
- 35.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: 73 82 83 90 93 21. After step 4, what is the 3rd number from the left?
- 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: 21 63 47 60 67 45. After step 4, what is the 4th number from the left?
- 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: 19 83 97 67 79 20. After step 4, 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: 36 23 10 59 93 46. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 91 33 57 63 23 55. After step 2, what is the 2nd number from the left?
- 40.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
Answer key
- 82
- 77
- 80
- 55
- 22
- 34
- 71
- 228
- 95
- 30
- 74
- 72
- 29
- 32
- 29
- 54
- 110
- 61
- 18
- 55
- 50
- 6
- 18
- 13
- 49
- 56
- 97
- 85
- 74
- 51
- 64
- 75
- 14
- 5
- 82
- 60
- 20
- 46
- 63
- 17
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