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 3 and then adds 4. Each output goes back in as the next input. Start with 7. 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: 48 97 42 85 75 56. After step 2, what is the 4th number from the left?
- 3.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: 60 31 78 80 22 93. After step 3, what is the 2nd number from the left?
- 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: 14 26 12 36 58 90. After step 3, what is the 1st number from the left?
- 5.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 5. What comes out after step 2?
- 6.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 25 73 96 83 81. After step 3, what is the 6th number from the left?
- 7.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 67 40 31 76 13. After step 2, what is the 4th number from the left?
- 8.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 9.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 10.A number machine multiplies a number by 2 and then takes away 4. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 11.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 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: 81 59 34 21 69 54. After step 4, what is the 2nd number from the left?
- 13.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 14.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?
- 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: 58 94 32 78 99 24. After step 4, what is the 1st number from the left?
- 16.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 6. 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: 89 65 72 24 36 38. After step 3, what is the 2nd number from the left?
- 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: 61 85 90 17 12 33. After step 3, what is the 6th 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: 34 47 10 25 55 92. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 67 20 95 81 36 46. After step 4, what is the 3rd number from the left?
- 21.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 22.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 3. 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: 63 12 29 84 90 70. After step 3, what is the 6th number from the left?
- 24.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: 75 47 42 18 39 94. After step 2, what is the 6th 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: 70 53 57 93 17 75. After step 4, what is the 6th number from the left?
- 26.A number machine multiplies a number by 2 and then adds 3. 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: 34 13 36 98 62 63. After step 2, what is the 1st 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: 24 34 59 42 53 49. After step 3, what is the 5th number from the left?
- 29.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 8. 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: 74 90 26 65 83 48. After step 2, what is the 1st 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: 94 24 55 45 59 39. After step 2, what is the 3rd 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: 73 49 65 54 15 19. After step 3, what is the 1st number from the left?
- 33.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 2?
- 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: 56 79 55 61 42 37. After step 3, what is the 4th number from the left?
- 35.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 36.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 37.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 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: 13 92 46 45 77 72. After step 4, what is the 5th number from the left?
- 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: 32 14 79 33 89 22. After step 3, what is the 2nd number from the left?
- 40.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
Answer key
- 79
- 42
- 80
- 90
- 57
- 73
- 40
- 97
- 38
- 20
- 31
- 34
- 100
- 39
- 99
- 36
- 72
- 33
- 92
- 67
- 69
- 35
- 70
- 94
- 75
- 41
- 98
- 34
- 151
- 26
- 94
- 15
- 11
- 56
- 22
- 19
- 56
- 13
- 22
- 147
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