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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 34 57 41 25 40 16. After step 2, what is the 3rd number from the left?
- 2.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: 66 72 26 10 11 27. After step 2, what is the 5th number from the left?
- 3.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 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: 81 97 34 16 56 89. After step 4, what is the 6th 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: 75 68 30 27 28 25. After step 2, 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: 80 17 65 66 19 31. After step 3, what is the 4th 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: 91 45 19 95 32 30. 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: 22 45 98 81 24 34. After step 4, what is the 6th 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: 85 38 35 78 50 49. After step 4, what is the 4th number from the left?
- 10.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 8. What comes out after step 3?
- 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: 59 43 97 98 33 24. After step 2, what is the 4th number from the left?
- 12.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 7. What comes out after step 3?
- 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: 62 89 94 64 23 52. After step 4, what is the 2nd 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: 92 96 34 75 47 76. After step 2, what is the 4th number from the left?
- 15.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 59 50 20 43 97. 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: 66 67 56 15 33 36. After step 3, what is the 1st number from the left?
- 17.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: 21 99 84 13 86 93. After step 4, what is the 1st 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: 11 92 50 40 35 28. After step 3, what is the 2nd number from the left?
- 19.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 20.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 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: 89 73 67 46 40 52. After step 2, what is the 6th 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: 48 23 68 62 93 56. After step 4, what is the 1st number from the left?
- 23.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?
- 24.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 9. What comes out after step 3?
- 25.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 39 26 17 35 66. After step 4, what is the 4th number from the left?
- 26.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 5. 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: 46 84 59 52 93 23. After step 3, what is the 4th number from the left?
- 28.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 36 69 42 31 60. After step 2, what is the 2nd number from the left?
- 29.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 6. What comes out after step 3?
- 30.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
- 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: 78 67 21 82 50 32. After step 4, what is the 5th number from the left?
- 32.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?
- 33.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 2?
- 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: 72 80 11 95 57 39. After step 4, what is the 4th 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: 25 46 39 43 45 38. After step 3, what is the 1st 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 3. What comes out after step 3?
- 37.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?
- 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: 23 42 63 98 72 80. After step 2, what is the 6th number from the left?
- 39.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 2?
- 40.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 2. What comes out after step 2?
Answer key
- 34
- 11
- 11
- 89
- 75
- 80
- 95
- 81
- 49
- 85
- 43
- 42
- 52
- 75
- 20
- 15
- 13
- 50
- 18
- 42
- 52
- 93
- 5
- 178
- 39
- 49
- 46
- 69
- 76
- 30
- 78
- 9
- 79
- 72
- 25
- 133
- 43
- 72
- 85
- 23
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