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 takes away 3. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 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: 50 10 35 80 42 71. After step 4, 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: 87 34 28 13 17 97. After step 2, what is the 3rd 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: 27 67 40 58 63 23. After step 4, what is the 3rd 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: 74 55 81 90 39 73. After step 3, what is the 3rd number from the left?
- 6.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: 59 52 48 56 10 23. After step 4, what is the 3rd number from the left?
- 7.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?
- 8.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?
- 9.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?
- 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: 40 35 50 73 26 56. After step 2, what is the 4th 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: 46 47 89 18 35 65. After step 2, what is the 6th 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: 10 24 60 76 28 13. After step 3, what is the 4th number from the left?
- 13.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 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: 34 33 83 92 74 56. After step 4, what is the 5th 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: 72 62 34 19 30 39. After step 3, what is the 5th number from the left?
- 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: 26 25 87 71 88 81. After step 2, 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: 22 94 15 13 26 74. After step 4, what is the 1st number from the left?
- 18.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 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: 23 94 90 72 86 59. After step 4, what is the 2nd 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: 94 28 31 26 74 86. After step 4, what is the 1st number from the left?
- 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: 80 84 31 15 63 25. After step 3, what is the 3rd 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: 76 79 80 52 23 85. After step 3, what is the 4th number from the left?
- 23.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 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: 43 86 36 70 79 80. After step 2, what is the 6th number from the left?
- 25.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 26.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: 81 46 61 23 21 35. After step 2, what is the 5th number from the left?
- 27.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: 36 47 25 77 93 76. After step 4, what is the 3rd 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 2. What comes out after step 2?
- 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: 64 12 67 77 70 58. 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: 87 52 33 26 16 44. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 98 95 68 40 21 29. After step 3, what is the 5th number from the left?
- 32.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?
- 33.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 2?
- 34.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 33 50 30 46 19. After step 3, what is the 2nd number from the left?
- 35.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 36.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: 13 48 43 56 41 36. After step 4, what is the 3rd number from the left?
- 37.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 42 91 39 65 49. After step 4, what is the 1st number from the left?
- 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: 38 35 99 46 92 96. After step 2, what is the 3rd 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: 95 59 81 70 92 37. After step 3, what is the 6th 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: 43 99 86 13 69 11. After step 3, what is the 1st number from the left?
Answer key
- 177
- 50
- 34
- 40
- 73
- 48
- 6
- 56
- 13
- 50
- 35
- 60
- 37
- 34
- 62
- 71
- 94
- 256
- 90
- 94
- 63
- 76
- 91
- 80
- 24
- 21
- 47
- 5
- 67
- 16
- 21
- 57
- 37
- 50
- 21
- 41
- 39
- 99
- 92
- 11
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