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 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?
- 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: 99 48 67 28 72 87. After step 4, what is the 1st 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: 22 98 33 66 25 84. After step 3, what is the 6th 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: 41 97 92 93 79 83. After step 3, what is the 2nd number from the left?
- 5.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: 27 61 16 77 89 22. After step 2, what is the 6th number from the left?
- 6.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?
- 7.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 2?
- 8.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 9.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?
- 10.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: 87 40 91 84 99 54. After step 2, what is the 2nd 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: 23 12 82 73 84 64. After step 3, what is the 5th number from the left?
- 12.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: 43 14 75 25 89 10. After step 4, what is the 3rd number from the left?
- 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: 31 58 47 21 36 85. After step 3, what is the 4th 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: 15 26 45 60 98 14. 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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 78 13 97 73 94 22. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 95 88 84 73 49 57. After step 3, what is the 3rd number from the left?
- 17.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: 24 77 79 30 58 60. After step 2, what is the 4th number from the left?
- 18.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 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: 47 56 93 90 67 38. After step 2, what is the 6th 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: 84 23 44 56 90 99. After step 2, what is the 5th 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: 12 10 64 74 85 42. After step 3, what is the 4th number from the left?
- 22.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: 88 80 76 22 61 60. After step 3, what is the 2nd number from the left?
- 23.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 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: 13 22 27 56 93 50. After step 2, what is the 4th number from the left?
- 25.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 26.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 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 6. What comes out after step 3?
- 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: 34 65 14 11 20 39. 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: 35 68 27 28 92 90. After step 2, what is the 2nd number from the left?
- 30.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?
- 31.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 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: 19 70 61 94 41 49. After step 2, what is the 1st 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: 80 79 19 92 14 89. After step 4, what is the 4th number from the left?
- 34.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 8. 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: 73 68 76 40 81 44. After step 4, what is the 5th number from the left?
- 36.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 37.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 63 62 41 84 58. After step 2, 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: 46 82 40 81 61 95. After step 2, what is the 2nd 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: 31 45 20 94 88 91. After step 3, what is the 4th 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: 40 74 43 93 98 95. After step 3, what is the 5th number from the left?
Answer key
- 6
- 99
- 84
- 79
- 22
- 80
- 16
- 99
- 83
- 91
- 12
- 25
- 31
- 98
- 13
- 84
- 79
- 39
- 67
- 90
- 64
- 80
- 178
- 22
- 17
- 59
- 41
- 65
- 90
- 137
- 21
- 19
- 80
- 35
- 40
- 109
- 63
- 82
- 31
- 74
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