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: 17 87 59 80 53 70. After step 4, what is the 4th 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: 62 28 59 26 93 92. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 52 19 14 75 47 22. After step 4, what is the 4th number from the left?
- 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: 43 25 22 90 32 45. After step 2, what is the 1st 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: 33 95 87 45 35 69. After step 3, what is the 2nd 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: 56 40 57 84 91 98. After step 2, what is the 4th 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: 46 70 13 11 40 73. After step 4, what is the 4th number from the left?
- 8.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: 13 54 71 37 88 31. After step 4, what is the 3rd 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: 15 18 73 55 13 38. After step 4, what is the 3rd 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: 90 84 40 36 99 63. After step 4, what is the 6th 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: 91 27 31 73 94 50. After step 4, what is the 5th 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: 40 92 33 80 28 42. After step 2, what is the 3rd number from the left?
- 13.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: 31 95 17 64 63 89. After step 4, what is the 3rd number from the left?
- 14.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 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: 31 22 51 75 43 49. After step 4, what is the 2nd 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: 63 70 97 54 95 12. After step 3, what is the 6th 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: 19 45 64 92 96 42. After step 3, 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: 13 82 74 97 81 99. After step 2, what is the 5th 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: 59 49 74 16 55 24. After step 4, what is the 6th number from the left?
- 20.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 23 39 16 20 96. After step 2, what is the 6th 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: 71 31 20 79 14 70. After step 2, what is the 5th number from the left?
- 22.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 23.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: 99 59 45 65 42 94. After step 3, what is the 4th number from the left?
- 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: 54 42 88 46 14 20. After step 2, what is the 6th number from the left?
- 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: 57 11 28 19 17 49. After step 2, what is the 6th number from the left?
- 26.A number machine multiplies a number by 3 and then takes away 4. 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: 27 33 58 28 31 85. 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: 59 47 56 24 76 62. After step 3, what is the 4th 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: 87 13 14 43 17 44. After step 3, what is the 5th number from the left?
- 30.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?
- 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: 17 38 26 74 32 88. After step 2, what is the 4th 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: 29 10 80 88 59 42. 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: 79 96 76 14 46 22. After step 3, what is the 3rd 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: 74 47 20 31 58 62. After step 3, 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: 91 68 53 31 71 41. After step 4, what is the 4th 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: 57 43 99 19 90 68. After step 3, what is the 6th 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: 65 52 91 68 36 50. After step 2, what is the 2nd number from the left?
- 38.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?
- 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: 99 25 32 31 42 89. After step 3, what is the 3rd number from the left?
- 40.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?
Answer key
- 59
- 92
- 22
- 90
- 35
- 84
- 46
- 54
- 38
- 36
- 27
- 40
- 64
- 47
- 31
- 95
- 64
- 74
- 74
- 96
- 14
- 15
- 59
- 46
- 49
- 29
- 27
- 59
- 43
- 44
- 74
- 88
- 76
- 47
- 68
- 68
- 50
- 52
- 42
- 28
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