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 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 2?
- 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: 58 28 11 66 93 60. After step 3, what is the 1st 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: 64 54 93 47 39 13. After step 2, what is the 5th number from the left?
- 4.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 5. What comes out after step 3?
- 5.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 2. 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 92 42 31 11 45. After step 3, 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: 71 82 57 98 27 33. After step 3, what is the 2nd 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: 34 74 66 87 20 62. After step 2, what is the 5th number from the left?
- 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: 31 24 79 55 28 62. After step 3, what is the 5th 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: 77 45 90 95 99 12. After step 2, what is the 3rd 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: 91 12 93 10 13 54. After step 4, what is the 3rd number from the left?
- 12.A number machine multiplies a number by 3 and then takes away 1. 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: 49 67 34 19 16 57. After step 2, what is the 6th number from the left?
- 14.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 15.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 3. What comes out after step 3?
- 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: 35 60 20 73 25 31. After step 4, what is the 6th number from the left?
- 17.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 2. What comes out after step 3?
- 18.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?
- 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: 13 52 37 18 23 50. After step 4, what is the 3rd number from the left?
- 20.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 3?
- 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: 97 35 81 15 99 60. After step 2, what is the 4th number from the left?
- 22.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?
- 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 4. What comes out after step 3?
- 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: 61 30 10 36 80 34. After step 4, what is the 4th number from the left?
- 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: 12 67 20 31 42 95. After step 3, what is the 3rd number from the left?
- 26.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 2?
- 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: 80 54 23 87 33 66. After step 3, what is the 2nd 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: 46 27 83 25 75 14. After step 4, what is the 6th number from the left?
- 29.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 15 93 78 97 40. After step 2, what is the 5th number from the left?
- 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: 20 61 59 29 71 11. After step 2, what is the 4th number from the left?
- 31.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 7. What comes out after step 2?
- 32.A number machine multiplies a number by 2 and then adds 4. 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 takes away 5. 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 biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 62 51 17 33 23 59. After step 3, what is the 6th 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: 21 88 11 17 14 44. After step 4, what is the 1st number from the left?
- 36.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: 21 38 59 69 70 29. After step 2, what is the 3rd 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: 95 22 79 98 19 24. After step 3, what is the 6th number from the left?
- 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: 97 79 42 65 34 89. After step 4, what is the 5th number from the left?
- 39.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?
- 40.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 72 69 87 13 58. After step 4, what is the 3rd number from the left?
Answer key
- 6
- 93
- 93
- 19
- 80
- 11
- 82
- 20
- 55
- 77
- 13
- 176
- 57
- 93
- 45
- 25
- 15
- 12
- 23
- 60
- 81
- 29
- 25
- 36
- 42
- 7
- 33
- 75
- 78
- 59
- 55
- 44
- 43
- 23
- 88
- 21
- 98
- 97
- 5
- 69
Free logical reasoning lessons, practice and worksheets at talentjr.in/logical-reasoning