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: 88 41 54 12 61 93. After step 4, what is the 2nd 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: 67 47 34 72 32 38. After step 2, 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: 56 14 98 53 73 55. After step 2, what is the 1st 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: 86 38 71 61 60 57. After step 4, what is the 2nd number from the left?
- 5.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 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: 82 51 26 84 18 27. After step 4, what is the 2nd number from the left?
- 7.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 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: 59 58 88 47 16 30. After step 4, what is the 1st 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: 78 17 41 93 45 70. After step 2, what is the 6th 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 4. What comes out after step 2?
- 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: 35 14 33 65 82 37. After step 4, what is the 1st number from the left?
- 12.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?
- 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: 77 80 22 99 31 65. After step 4, what is the 3rd 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: 40 65 43 80 91 56. After step 2, what is the 6th 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 2. What comes out after step 3?
- 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: 93 95 42 63 74 87. After step 2, what is the 4th number from the left?
- 17.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 7. 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: 11 63 96 77 79 97. After step 2, 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: 49 21 28 82 80 26. After step 2, what is the 2nd number from the left?
- 20.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 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: 85 38 59 78 88 77. After step 3, what is the 3rd number from the left?
- 22.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?
- 23.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 58 45 57 81 22. After step 3, what is the 2nd number from the left?
- 24.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 87 56 94 76 10. After step 2, what is the 5th 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: 42 17 67 44 90 10. After step 4, what is the 6th number from the left?
- 26.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 27.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?
- 28.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 29.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 4. 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: 44 86 73 55 63 32. After step 4, what is the 6th number from the left?
- 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: 16 18 60 26 28 89. After step 4, what is the 1st 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: 40 81 48 22 93 98. After step 3, what is the 2nd 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: 42 66 55 15 99 21. After step 2, what is the 4th 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: 64 70 81 66 22 46. After step 4, what is the 4th 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: 85 80 98 93 37 15. After step 2, 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: 55 18 78 75 22 40. 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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 13 80 65 10 59 94. After step 4, what is the 4th number from the left?
- 38.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 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: 21 95 55 85 83 39. After step 4, 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 4. What comes out after step 3?
Answer key
- 41
- 67
- 14
- 57
- 149
- 26
- 70
- 88
- 70
- 22
- 14
- 26
- 65
- 56
- 106
- 95
- 43
- 77
- 26
- 23
- 77
- 17
- 40
- 76
- 10
- 64
- 5
- 120
- 20
- 32
- 16
- 93
- 66
- 66
- 37
- 18
- 65
- 18
- 21
- 43
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