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Function Machines Introduction
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Function Machines Introduction
Follow each machine’s rule to change its input into an output. For a missing input, work backwards using the inverse operation. Show your working where you can.
Understanding function machines
1.Which description best explains a function machine?
- It changes an input by following a rule to produce an output.
- It always makes the input smaller.
- It sorts numbers into odd and even groups only.
- It gives a different answer each time, even when the input is the same.
2.A machine adds 8 to its input. What is the output when the input is 6?
3.A machine multiplies its input by 5. What is the output for an input of 7?
4.A machine subtracts 4 from its input. Find the output for an input of 19.
5.A machine divides its input by 6. What output does it give for an input of 42?
6.A machine changes 13 to 9, 20 to 16 and 27 to 23. What single operation is the machine using?
Missing numbers and inverse operations
7.A machine adds 9. What input must go in to produce an output of 24?
8.A machine multiplies by 4. What input produces an output of 36?
9.A machine divides by 5. What input produces an output of 8?
10.A machine subtracts 7. What input produces an output of 18?
11.Match each machine rule to the operation that reverses it.
- Add 6
- Multiply by 8
- Subtract 3
- Divide by 4
- Multiply by 4
- Add 3
- Subtract 6
- Divide by 8
12.Which operation reverses a machine that multiplies its input by 9?
- Add 9
- Subtract 9
- Divide by 9
- Multiply by 9
13.A machine subtracts 12 from every input. What is the inverse operation?
Two-step machines and explaining rules
14.A machine doubles its input and then adds 5. What output does it give for an input of 7?
15.A machine multiplies its input by 3 and then subtracts 2. Find the output for an input of 8.
16.A machine doubles its input and then adds 3. The output is 17. What was the input?
17.At a wildlife sanctuary, Rhys records 6 birds. A number machine doubles the count and then adds 4. What number comes out?
18.Explain how a function machine turns an input into an output. Include the words rule, input and output.
19.Write a rule of your own and use it to find the outputs for inputs 2, 5 and 10. State your rule so someone else can check your answers.
3 printable pages
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