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: 52 66 39 20 67 10. After step 2, 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: 69 33 68 23 25 41. After step 2, what is the 1st number from the left?
- 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 9. 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: 99 73 18 32 36 10. After step 3, what is the 1st 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: 25 39 28 81 54 36. After step 3, what is the 2nd number from the left?
- 6.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?
- 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: 23 80 17 56 76 51. After step 2, what is the 1st number from the left?
- 8.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 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: 86 56 98 50 23 37. After step 3, what is the 2nd 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: 42 77 90 65 28 30. After step 2, what is the 1st 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: 42 94 56 64 16 28. After step 3, what is the 5th number from the left?
- 12.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?
- 13.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 82 60 48 98 85. After step 3, what is the 3rd 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: 18 19 37 50 94 38. After step 3, what is the 1st 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: 95 40 32 79 85 43. After step 2, what is the 1st number from the left?
- 16.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 4. 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: 26 41 91 31 61 18. After step 4, what is the 6th 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: 13 50 37 31 76 66. After step 4, what is the 1st 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: 79 19 35 30 26 33. After step 2, what is the 2nd number from the left?
- 20.A number machine multiplies a number by 3 and then adds 4. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 38 31 61 70 63 77. After step 2, what is the 5th number from the left?
- 22.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 7. 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: 21 85 10 59 54 22. After step 3, what is the 4th 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: 23 24 74 97 62 95. After step 3, what is the 5th number from the left?
- 25.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: 60 19 15 46 84 17. After step 4, what is the 6th number from the left?
- 26.A number machine multiplies a number by 2 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 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 74 26 89 14 28. After step 3, what is the 4th number from the left?
- 28.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?
- 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: 33 13 81 54 60 26. After step 2, what is the 6th number from the left?
- 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: 17 86 60 25 21 56. After step 3, what is the 1st number from the left?
- 31.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 32 81 33 57 69. After step 4, what is the 1st number from the left?
- 32.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 33.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 34.A number machine multiplies a number by 2 and then takes away 4. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 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: 84 30 69 22 32 17. After step 2, what is the 2nd 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: 20 99 19 32 26 95. After step 2, what is the 6th number from the left?
- 37.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?
- 38.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 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 93 35 38 82 33. After step 2, what is the 3rd number from the left?
- 40.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 43 50 80 45 70. After step 3, what is the 1st number from the left?
Answer key
- 39
- 23
- 58
- 99
- 28
- 6
- 17
- 97
- 37
- 28
- 16
- 14
- 82
- 18
- 95
- 39
- 18
- 13
- 35
- 88
- 61
- 31
- 85
- 24
- 84
- 26
- 26
- 23
- 60
- 86
- 81
- 29
- 148
- 24
- 69
- 26
- 106
- 65
- 93
- 80
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