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: 15 53 41 80 14 32. After step 3, what is the 1st 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: 15 26 37 47 33 11. After step 3, what is the 2nd number from the left?
- 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: 62 27 23 46 76 75. After step 3, what is the 6th number from the left?
- 4.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 5.A number machine multiplies a number by 2 and then takes away 3. 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: 88 29 33 22 26 48. After step 2, what is the 1st number from the left?
- 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: 16 15 40 34 97 71. After step 2, what is the 1st number from the left?
- 8.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 2?
- 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: 80 45 97 33 83 13. After step 2, what is the 6th number from the left?
- 10.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 11.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 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: 43 79 12 68 84 99. After step 4, 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: 10 57 23 15 52 97. After step 4, what is the 3rd 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: 73 68 92 97 10 44. After step 4, 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 9. 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: 47 57 32 83 46 50. After step 4, what is the 2nd number from the left?
- 17.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?
- 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: 64 18 76 44 29 31. After step 2, what is the 1st number from the left?
- 19.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: 35 68 31 53 41 22. After step 2, what is the 2nd number from the left?
- 20.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?
- 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: 29 43 46 93 81 48. After step 2, 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: 35 48 43 44 81 53. After step 3, what is the 3rd 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 4. What comes out after step 3?
- 24.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 3?
- 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: 15 26 56 66 38 16. After step 3, what is the 4th number from the left?
- 26.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 48 39 29 86 27. After step 3, what is the 6th 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: 32 39 65 95 81 80. After step 2, what is the 3rd number from the left?
- 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: 96 17 64 71 88 86. After step 3, what is the 5th 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: 18 98 94 87 90 70. After step 4, what is the 2nd 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: 12 56 36 52 23 34. After step 2, what is the 2nd 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: 94 58 15 36 87 66. After step 4, 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: 88 70 33 18 16 76. After step 2, what is the 1st 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: 63 76 29 23 11 83. After step 3, 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: 97 71 72 12 20 89. After step 2, what is the 3rd 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: 57 49 81 64 74 98. After step 4, what is the 6th number from the left?
- 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: 52 64 81 60 80 68. After step 2, what is the 6th number from the left?
- 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: 30 70 77 43 52 38. After step 3, what is the 6th number from the left?
- 38.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 3?
- 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: 13 97 36 20 63 90. After step 2, what is the 1st number from the left?
- 40.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 4. What comes out after step 3?
Answer key
- 14
- 15
- 75
- 227
- 51
- 88
- 15
- 43
- 83
- 54
- 28
- 84
- 23
- 10
- 89
- 46
- 308
- 18
- 31
- 5
- 29
- 44
- 67
- 52
- 15
- 86
- 65
- 88
- 70
- 52
- 36
- 88
- 76
- 97
- 98
- 68
- 38
- 79
- 13
- 134
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