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: 17 49 33 67 36 61. After step 3, what is the 4th number from the left?
- 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: 73 40 32 21 76 60. After step 2, what is the 2nd number from the left?
- 3.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 3?
- 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: 83 96 80 35 99 92. After step 4, what is the 1st number from the left?
- 5.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?
- 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: 49 19 78 15 65 11. After step 2, 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: 28 82 29 24 79 90. After step 3, what is the 1st 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: 67 58 70 10 74 69. After step 4, what is the 5th number from the left?
- 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: 16 92 43 60 23 28. After step 3, 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: 35 22 64 11 46 10. 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: 38 10 36 72 13 15. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 52 18 30 11 68 57. 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 7. What comes out after step 2?
- 14.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 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: 26 38 21 58 91 69. After step 2, what is the 2nd 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: 81 19 41 16 93 48. After step 4, what is the 3rd number from the left?
- 17.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 3?
- 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: 29 13 69 10 55 80. After step 2, 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: 97 48 28 15 66 33. After step 3, what is the 4th 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: 46 57 87 33 76 14. After step 2, what is the 2nd number from the left?
- 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: 98 63 29 51 57 44. 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 smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 26 69 88 35 59 83. After step 3, what is the 6th number from the left?
- 23.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?
- 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: 85 42 55 11 33 93. After step 2, what is the 5th number from the left?
- 25.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 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: 55 56 43 14 24 15. After step 4, what is the 2nd number from the left?
- 27.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 28.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: 48 22 15 41 36 75. After step 2, what is the 3rd number from the left?
- 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: 44 77 78 95 41 24. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 28 76 20 51 45 15. After step 3, what is the 4th number from the left?
- 31.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 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: 34 64 79 95 42 86. After step 2, what is the 3rd number from the left?
- 33.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 30 44 17 34 15. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 33 88 17 70 24 23. After step 3, what is the 2nd number from the left?
- 35.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 33 13 22 41 35. After step 4, what is the 3rd number from the left?
- 36.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 3?
- 37.A number machine multiplies a number by 3 and then adds 2. 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: 16 12 65 89 71 22. After step 3, what is the 1st 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: 86 37 67 55 39 73. After step 3, what is the 2nd number from the left?
- 40.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 9. What comes out after step 3?
Answer key
- 49
- 32
- 241
- 35
- 100
- 11
- 90
- 70
- 28
- 10
- 15
- 57
- 40
- 215
- 26
- 48
- 9
- 29
- 28
- 76
- 51
- 83
- 37
- 55
- 16
- 55
- 50
- 48
- 24
- 28
- 38
- 64
- 17
- 70
- 35
- 160
- 80
- 89
- 73
- 230
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