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 adds 5. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 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 5. What comes out after step 2?
- 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: 76 87 34 46 22 25. After step 3, what is the 3rd number from the left?
- 4.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 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: 49 54 19 40 65 30. After step 3, what is the 1st number from the left?
- 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: 78 18 68 67 95 89. After step 2, what is the 6th number from the left?
- 7.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 2?
- 8.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?
- 9.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 16 38 15 24 73. After step 4, what is the 6th number from the left?
- 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: 16 29 95 89 47 42. After step 3, 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: 37 43 44 13 95 18. After step 3, what is the 1st 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: 70 29 96 88 14 16. After step 2, what is the 2nd 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: 21 52 67 39 49 78. After step 2, what is the 2nd 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: 61 28 15 72 89 25. After step 2, what is the 5th number from the left?
- 15.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 16.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: 76 52 27 81 91 55. After step 4, what is the 6th number from the left?
- 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: 55 75 29 91 95 36. After step 2, what is the 2nd 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: 72 33 24 23 73 99. After step 3, what is the 5th 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: 35 23 13 40 62 72. After step 2, what is the 3rd number from the left?
- 20.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 9. 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: 34 65 64 98 33 14. After step 4, what is the 6th 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: 26 60 85 73 78 36. After step 2, 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: 42 80 71 55 36 93. 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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 14 23 17 11 35 53. After step 4, what is the 5th number from the left?
- 25.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 26.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 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: 29 89 13 49 51 42. After step 3, what is the 5th number from the left?
- 28.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?
- 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: 10 62 32 94 25 21. After step 3, what is the 1st number from the left?
- 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: 86 62 27 67 98 82. After step 3, what is the 3rd 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: 55 24 69 29 74 11. After step 3, what is the 6th 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: 27 50 35 55 82 46. After step 2, what is the 5th number from the left?
- 33.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 12 26 14 71 18. After step 4, what is the 2nd number from the left?
- 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: 28 90 10 25 58 73. After step 2, what is the 4th 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: 92 85 43 82 50 49. After step 2, what is the 1st number from the left?
- 36.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?
- 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: 90 25 51 96 63 42. After step 4, what is the 4th 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: 10 94 80 34 63 82. After step 4, what is the 6th 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: 30 84 88 13 32 10. After step 2, what is the 1st 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: 86 68 59 52 24 63. After step 3, what is the 1st number from the left?
Answer key
- 75
- 11
- 34
- 39
- 65
- 67
- 5
- 202
- 15
- 89
- 95
- 16
- 39
- 15
- 26
- 91
- 91
- 73
- 35
- 89
- 14
- 85
- 42
- 35
- 22
- 190
- 13
- 41
- 10
- 67
- 11
- 82
- 30
- 90
- 43
- 39
- 51
- 34
- 10
- 86
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