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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 61 55 65 52 80 87. After step 4, what is the 5th number from the left?
- 2.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 3.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 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: 67 41 52 43 78 42. After step 2, what is the 2nd number from the left?
- 5.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: 95 18 51 98 54 63. After step 3, what is the 3rd number from the left?
- 6.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 3?
- 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: 54 53 88 40 18 35. After step 2, what is the 6th number from the left?
- 8.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 76 47 34 97 24. After step 2, what is the 3rd number from the left?
- 9.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: 71 92 22 83 30 49. After step 4, what is the 5th number from the left?
- 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: 16 88 82 49 10 19. After step 2, what is the 6th 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: 53 97 88 16 87 11. After step 2, what is the 1st number from the left?
- 12.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 13.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 14.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: 38 23 90 20 24 75. After step 2, what is the 2nd 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: 37 10 65 19 12 88. After step 2, what is the 6th 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: 35 78 18 38 11 92. After step 4, what is the 4th 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: 65 93 82 30 78 88. After step 2, what is the 3rd 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: 80 26 73 55 58 62. After step 3, what is the 3rd number from the left?
- 19.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 20.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 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: 90 88 79 80 13 21. After step 4, what is the 4th 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: 99 54 71 65 68 25. After step 4, what is the 6th number from the left?
- 23.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 24.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 5. 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: 93 13 48 81 51 33. After step 3, what is the 5th number from the left?
- 26.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 3?
- 27.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 28.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 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: 10 15 65 41 31 96. After step 2, 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: 81 17 54 34 67 70. After step 2, what is the 4th number from the left?
- 31.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 4. 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: 91 98 74 19 37 14. After step 2, what is the 2nd 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: 82 57 63 84 65 73. After step 3, what is the 2nd number from the left?
- 34.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 2?
- 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: 31 71 77 25 65 27. After step 2, what is the 5th number from the left?
- 36.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: 39 37 97 32 22 46. After step 3, what is the 4th number from the left?
- 37.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 6. 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: 92 19 83 89 64 80. After step 4, 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: 19 59 45 87 55 35. After step 4, what is the 3rd 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: 84 42 37 52 46 10. After step 2, what is the 6th number from the left?
Answer key
- 80
- 76
- 70
- 67
- 54
- 71
- 40
- 82
- 92
- 19
- 11
- 308
- 86
- 23
- 88
- 35
- 65
- 62
- 44
- 119
- 80
- 71
- 27
- 61
- 48
- 174
- 32
- 120
- 15
- 54
- 52
- 19
- 82
- 48
- 77
- 37
- 66
- 64
- 55
- 10
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