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 3 and then takes away 2. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 2.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 3. What comes out after step 2?
- 3.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 6. 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: 33 97 49 79 20 77. After step 4, what is the 4th number from the left?
- 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: 79 53 39 78 15 17. After step 4, what is the 1st 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: 98 35 40 57 96 99. After step 2, 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: 98 54 63 37 67 14. After step 3, what is the 3rd 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: 80 96 93 15 90 12. After step 2, what is the 2nd number from the left?
- 9.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 2?
- 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: 47 52 93 49 17 59. After step 3, what is the 2nd 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: 48 50 64 69 71 28. After step 3, 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: 96 14 31 86 35 33. After step 3, what is the 3rd 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: 62 53 11 81 26 30. After step 2, what is the 4th 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: 99 77 60 19 13 10. After step 3, what is the 5th number from the left?
- 15.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 5. 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: 83 63 62 92 42 75. After step 3, what is the 5th 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: 40 57 73 18 15 43. After step 4, 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: 93 56 23 32 97 84. After step 2, what is the 4th 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: 76 42 23 50 34 67. After step 2, what is the 4th number from the left?
- 20.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 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: 63 45 37 20 32 96. After step 2, what is the 2nd 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: 75 99 16 57 28 65. After step 4, what is the 1st number from the left?
- 23.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 5. What comes out after step 2?
- 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: 56 92 35 33 38 13. After step 2, what is the 5th 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: 32 54 86 41 98 31. After step 2, what is the 6th number from the left?
- 26.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 26 75 83 25 48. After step 4, what is the 4th number from the left?
- 27.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 9. What comes out after step 2?
- 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: 23 45 48 80 58 68. After step 3, what is the 1st number from the left?
- 29.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 2?
- 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: 44 58 78 36 71 87. After step 3, 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: 65 58 38 97 37 18. After step 4, what is the 4th number from the left?
- 32.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: 69 37 34 10 81 15. After step 3, what is the 3rd number from the left?
- 33.A number machine multiplies a number by 3 and then adds 2. 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: 93 68 13 71 21 48. After step 4, 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: 58 70 74 68 46 29. After step 3, what is the 2nd 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: 31 35 76 94 57 40. After step 4, what is the 2nd 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: 16 48 98 41 96 68. After step 4, what is the 1st number from the left?
- 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: 31 62 16 37 86 57. After step 2, what is the 6th number from the left?
- 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: 37 93 26 91 73 51. After step 2, what is the 1st 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 7. What comes out after step 3?
Answer key
- 73
- 35
- 214
- 77
- 79
- 99
- 63
- 15
- 11
- 47
- 69
- 33
- 53
- 13
- 122
- 62
- 43
- 23
- 42
- 8
- 63
- 99
- 57
- 35
- 31
- 29
- 77
- 80
- 10
- 36
- 58
- 34
- 71
- 13
- 46
- 76
- 98
- 57
- 93
- 84
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