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 3. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 2.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 43 67 90 65. After step 4, what is the 2nd 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: 10 25 38 26 97 59. After step 3, what is the 1st 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: 84 20 86 19 58 36. After step 2, what is the 1st number from the left?
- 5.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 6.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 2?
- 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: 90 26 42 70 24 71. After step 4, what is the 1st 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: 53 97 46 95 40 14. After step 3, what is the 1st number from the left?
- 9.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 2?
- 10.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: 61 84 49 47 10 34. After step 3, what is the 1st number from the left?
- 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: 16 50 98 55 68 42. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 17 32 24 59 77 90. 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: 45 80 87 99 85 50. After step 2, what is the 2nd number from the left?
- 14.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?
- 15.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 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: 13 68 20 59 28 48. After step 4, what is the 1st 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: 76 12 10 92 59 69. After step 4, 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: 16 87 57 22 59 31. After step 4, what is the 3rd 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: 85 56 70 87 44 45. After step 2, what is the 2nd 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: 62 83 88 13 34 58. After step 4, what is the 1st number from the left?
- 21.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 2?
- 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: 87 89 26 21 43 30. After step 2, what is the 6th number from the left?
- 23.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 24.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?
- 25.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: 25 82 14 32 70 49. After step 4, what is the 6th number from the left?
- 26.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 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: 89 33 49 26 69 92. After step 2, what is the 3rd number from the left?
- 28.A number machine multiplies a number by 2 and then takes away 5. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 44 16 56 46 15 47. After step 3, what is the 4th 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: 63 29 71 65 38 62. After step 2, what is the 6th 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: 80 67 17 48 35 29. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 29 24 72 26 35 20. After step 3, what is the 4th 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: 78 69 29 10 16 57. After step 2, what is the 1st number from the left?
- 34.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
- 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: 40 10 80 70 64 65. After step 4, what is the 3rd number from the left?
- 36.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 6. What comes out after step 2?
- 37.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?
- 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: 83 69 84 25 81 16. After step 2, what is the 5th 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: 48 13 35 36 62 38. After step 2, what is the 3rd number from the left?
- 40.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 89 57 84 43 65. After step 3, what is the 2nd number from the left?
Answer key
- 7
- 65
- 97
- 19
- 31
- 29
- 90
- 97
- 43
- 10
- 55
- 59
- 87
- 61
- 30
- 68
- 76
- 57
- 85
- 13
- 33
- 30
- 228
- 6
- 14
- 47
- 33
- 13
- 44
- 62
- 48
- 24
- 78
- 53
- 64
- 30
- 39
- 84
- 13
- 43
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