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: 36 92 10 14 74 41. After step 4, what is the 1st number from the left?
- 2.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 99 48 27 58 37. After step 3, what is the 1st number from the left?
- 3.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 4.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?
- 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: 98 87 47 76 31 86. After step 2, what is the 5th 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: 68 54 40 90 16 82. After step 3, what is the 3rd number from the left?
- 7.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 5. What comes out after step 2?
- 8.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 95 87 60 82 89. After step 4, what is the 2nd 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: 22 93 41 26 65 97. After step 4, what is the 6th number from the left?
- 10.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 5. 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: 19 10 38 20 84 88. After step 2, what is the 5th 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: 36 89 59 74 42 12. After step 4, what is the 2nd number from the left?
- 13.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?
- 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: 95 35 58 54 23 19. After step 3, what is the 3rd number from the left?
- 15.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?
- 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 4. What comes out after step 2?
- 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: 77 58 97 43 39 52. After step 2, what is the 3rd number from the left?
- 18.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?
- 19.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 20.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 47 22 72 18 60. After step 3, 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: 18 73 85 62 88 12. After step 2, what is the 2nd number from the left?
- 22.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 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: 30 87 57 86 24 22. After step 4, 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: 34 83 80 99 70 23. After step 2, what is the 1st number from the left?
- 25.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 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: 59 94 51 27 52 96. After step 3, what is the 4th 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: 80 50 53 89 33 38. After step 2, 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: 26 49 37 10 95 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: 34 66 54 26 45 89. After step 4, what is the 6th number from the left?
- 30.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 2. 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: 48 80 42 69 46 18. After step 3, what is the 1st number from the left?
- 32.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: 15 26 21 95 28 87. After step 4, what is the 1st number from the left?
- 33.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 34.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: 34 49 93 67 37 63. After step 4, what is the 1st number from the left?
- 35.A number machine multiplies a number by 2 and then adds 5. 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 3 and then takes away 1. Each output goes back in as the next input. Start with 4. 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: 79 35 41 11 69 18. After step 2, 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: 31 44 59 78 91 10. After step 2, what is the 5th number from the left?
- 39.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?
- 40.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 6. What comes out after step 3?
Answer key
- 92
- 99
- 66
- 6
- 76
- 54
- 65
- 60
- 97
- 53
- 38
- 74
- 202
- 35
- 43
- 13
- 58
- 65
- 43
- 60
- 18
- 51
- 86
- 99
- 80
- 51
- 53
- 95
- 89
- 22
- 18
- 15
- 47
- 93
- 75
- 32
- 79
- 78
- 70
- 83
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