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: 93 78 65 75 73 59. After step 3, what is the 1st number from the left?
- 2.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?
- 3.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 4.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 5.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?
- 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 5. 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: 17 28 87 64 21 53. After step 2, what is the 4th 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: 68 24 33 52 15 48. After step 3, what is the 6th number from the left?
- 9.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 3?
- 10.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 7. 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: 74 28 92 63 44 33. After step 4, what is the 3rd 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: 78 98 12 41 14 15. After step 2, what is the 3rd 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: 11 16 49 23 37 41. After step 4, what is the 1st 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: 83 24 33 12 81 45. After step 2, what is the 5th 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: 12 26 16 73 52 18. After step 3, what is the 5th number from the left?
- 16.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 17.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 18.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 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: 67 50 61 59 27 94. After step 3, what is the 5th number from the left?
- 20.A number machine multiplies a number by 2 and then takes away 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: 70 95 56 10 43 83. After step 3, what is the 1st number from the left?
- 22.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 87 59 91 17 72. After step 3, what is the 1st number from the left?
- 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: 48 70 51 11 83 63. After step 2, what is the 6th 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: 20 28 70 71 16 35. After step 3, what is the 3rd 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: 55 12 82 54 38 37. After step 3, what is the 5th 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: 67 82 65 87 11 14. 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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 12 55 67 20 19 62. After step 4, what is the 3rd 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: 82 41 87 49 98 10. After step 4, what is the 3rd number from the left?
- 29.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 30.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 76 81 28 51 25. After step 3, what is the 4th 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: 98 53 69 44 23 61. After step 2, what is the 2nd 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: 86 16 81 44 84 73. After step 3, what is the 6th 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: 40 32 95 43 10 24. After step 3, what is the 4th number from the left?
- 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: 94 42 14 78 74 72. After step 2, what is the 1st number from the left?
- 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: 90 29 74 26 54 85. After step 2, what is the 5th number from the left?
- 36.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 3?
- 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: 78 57 15 11 64 62. After step 3, what is the 4th 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: 82 89 58 19 20 94. After step 3, what is the 4th 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: 89 44 97 56 72 51. After step 4, what is the 5th 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: 37 93 72 85 32 62. After step 4, what is the 3rd number from the left?
Answer key
- 93
- 7
- 61
- 39
- 6
- 14
- 87
- 15
- 9
- 37
- 44
- 12
- 11
- 12
- 16
- 137
- 133
- 71
- 61
- 20
- 95
- 17
- 63
- 35
- 82
- 67
- 20
- 82
- 256
- 98
- 44
- 73
- 40
- 94
- 54
- 188
- 78
- 82
- 44
- 72
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