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: 25 40 59 51 92 35. After step 2, what is the 4th number from the left?
- 2.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?
- 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: 12 96 20 19 40 93. After step 2, what is the 2nd number from the left?
- 4.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 4. What comes out after step 2?
- 5.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: 41 65 79 89 66 92. After step 4, what is the 5th number from the left?
- 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: 37 53 75 10 59 88. After step 4, what is the 1st number from the left?
- 7.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
- 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: 78 80 38 15 47 60. After step 3, 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: 37 68 72 53 95 42. After step 3, what is the 1st number from the left?
- 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: 85 90 36 83 61 29. After step 2, what is the 1st 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: 27 98 32 39 34 66. After step 3, what is the 4th 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: 81 17 47 93 98 16. After step 2, what is the 6th 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: 32 53 54 15 81 10. After step 4, what is the 5th number from the left?
- 14.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: 11 42 50 36 63 97. After step 4, what is the 2nd number from the left?
- 15.A number machine multiplies a number by 2 and then takes away 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 25 31 71 30 84 50. After step 2, what is the 5th number from the left?
- 17.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?
- 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: 53 74 99 27 79 60. After step 3, what is the 6th 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: 86 67 59 34 81 90. After step 2, what is the 2nd number from the left?
- 20.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?
- 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: 72 92 75 29 65 85. After step 3, what is the 2nd number from the left?
- 22.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 23.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 81 93 21 39 58. After step 4, what is the 6th number from the left?
- 24.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: 67 23 33 68 12 94. After step 3, what is the 2nd 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: 21 80 51 56 73 36. After step 4, what is the 6th number from the left?
- 26.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 27.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 4. What comes out after step 3?
- 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 6. What comes out after step 3?
- 29.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 8. What comes out after step 2?
- 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: 51 25 79 28 18 47. After step 2, what is the 6th number from the left?
- 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: 75 94 64 49 69 73. After step 2, what is the 3rd number from the left?
- 32.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 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: 19 68 48 83 35 88. After step 2, what is the 3rd 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: 87 60 68 38 45 40. After step 2, what is the 1st 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: 66 57 50 62 52 91. After step 4, what is the 4th number from the left?
- 36.A number machine multiplies a number by 2 and then takes away 4. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 37.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?
- 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: 55 23 35 93 52 90. After step 4, what is the 1st 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: 78 56 42 36 85 72. After step 3, what is the 2nd number from the left?
- 40.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 4. What comes out after step 3?
Answer key
- 40
- 42
- 93
- 13
- 41
- 88
- 147
- 15
- 95
- 29
- 98
- 16
- 54
- 36
- 30
- 30
- 79
- 79
- 86
- 37
- 85
- 106
- 93
- 68
- 73
- 28
- 25
- 41
- 29
- 47
- 75
- 10
- 68
- 87
- 62
- 12
- 38
- 23
- 42
- 121
Free logical reasoning lessons, practice and worksheets at talentjr.in/logical-reasoning