1. Function Machines – Simple – Worksheet A
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3. Can you complete the outputs for these
function machines? 2 3 4
+ 3 4
× 2 6 7
What were the inputs for this
2-step function machine?
_?_ 8
_?_
× 2
+ 4 18
_?_ 20

4. The first output for each has been completed for you.
1 & 2 Step Function Machines
What is the output when we input these numbers into the function machine?
The first output for each has been completed for you.
+ 3 2 4 6 5 __
1) Complete the missing gaps for these function machines. a)
+ 4 11 b)
× 3 18 c)
− 3 7 d)
÷ 2 8 e)
× 4 3 12 20 f)
+ 5 16 9 14 10 36
2) What are the operations in these functions machines?
Work them out and complete the missing gaps. 15 30 1 35 60
3) Can you complete these two-step function machine diagrams?
− 2
+ 2
× 2 − ÷

5. The first output for each has been completed for you.1
1 & 2 Step Function Machines
What is the output when we input these numbers into the function machine?
The first output for each has been completed for you.
+ 3 2 4 6 5 7 9
× 2 3 4 7 6 8 14
1) Complete the missing gaps for these function machines. a)
+ 4 2 5 7 6 9 11 b)
× 3 15 18 c)
− 3 3 4 d)
÷ 2 4 8 16 2 e)
× 4 3 5 12 20 f)
+ 5 1 6 11
2) What are the operations in these functions machines?
Work them out and complete the missing gaps.
Half
Answers a)
+ 6 3 7 8 9 13 14 b)
− 3 10 5 11 c)
× 4 2 20 36 d) 9 15 30 3 5 __ e) 1 35 f) 12 60 2 10
3) Can you complete these two-step function machine diagrams? a)
+ 5 2 5 7 __
− 2 b)
+ 2 1 3 6 9 15 c)
× 2 5 7 10 6 __ 16 d) − 7 9 11 1 2 3 ÷

6. The first output for each has been completed for you.1
1 & 2 Step Function Machines
What is the output when we input these numbers into the function machine?
The first output for each has been completed for you.
+ 3 2 4 6 5 7 9
× 2 3 4 7 6 8 14
1) Complete the missing gaps for these function machines. a)
+ 4 2 5 7 6 9 11 b)
× 3 15 18 c)
− 3 3 4 d)
÷ 2 4 8 16 2 e)
× 4 3 5 12 20 f)
+ 5 1 6 11
2) What are the operations in these functions machines?
Work them out and complete the missing gaps.
Answers a)
+ 6 3 7 8 9 13 14 b)
− 3 10 5 11 c)
× 4 2 20 36 d)
÷ 3 9 15 30 3 5 10 e)
× 5 1 7 35 f)
÷ 6 12 18 60 2
3) Can you complete these two-step function machine diagrams? a)
+ 5 2 5 7 8 10
− 2 b)
+ 2 1 3 6 9 15 24
× 3 c)
× 2 5 7 10 6 16
− 4 d)
− 5 7 9 11 1 2 3
÷ 2

7. The first output for each has been completed for you.2
1 & 2 Step Function Machines
What is the output when we input these numbers into the function machine?
The first output for each has been completed for you.
+ 3 2 4 6 5 7 9
× 2 3 4 7 6 8 14
1) Complete the missing gaps for these function machines. a)
+ 5 2 5 7 10 12 b)
× 4 6 8 20 24 c)
− 5 9 1 4 d)
÷ 3 9 15 27 3 5 e)
× 6 18 30 f)
+ 4 1 6 11 10
2) Can you complete these two-step function machine diagrams? a)
+ 4 8 11 14 6 9 12
− 6 b) 1 5 7 10 18 22
× 2
Answers c)
× 2 4 8 12 20
− 4 d)
− 3 15 24 3 7
÷ 3 e)
× 5 2 4 6 12 22
− 8 f)
× 2 5 8 10 7 13 17
− 3
3) Can you complete these three-step function machine diagrams? a)
× 2 3 5 7
− 4 4 12 20 b)
+ 3 21 33 37
÷ 4 2 6 c)
÷ 2 6 8 14
+ 5 24 27 36
× 3 c)
× 4 3 9 15
− 6 2 10 18
÷ 3

8. 1 & 2 Step Function Machines
What is the output when we input these numbers into the function machine?
The first output for each has been completed for you.
+ 3 2 4 6 5 __
1) Complete the missing gaps for these function machines. a)
+ 4 11 b)
× 3 18 c)
− 3 7 d)
÷ 2 8 e)
× 4 3 12 20 f)
+ 5 16 9 14 10 36
2) What are the operations in these functions machines?
Work them out and complete the missing gaps. 15 30 1 35 60
3) Can you complete these two-step function machine diagrams?
− 2
+ 2
× 2 − ÷
1 & 2 Step Function Machines
What is the output when we input these numbers into the function machine?
The first output for each has been completed for you.
+ 3 2 4 6 5 __
1) Complete the missing gaps for these function machines. a)
+ 4 11 b)
× 3 18 c)
− 3 7 d)
÷ 2 8 e)
× 4 3 12 20 f)
+ 5 16 9 14 10 36
2) What are the operations in these functions machines?
Work them out and complete the missing gaps. 15 30 1 35 60
3) Can you complete these two-step function machine diagrams?
− 2
+ 2
× 2 − ÷

10. 1 & 2 Step Function Machines
What is the output when we input these numbers into the function machine?
The first output for each has been completed for you.
+ 3 2 4 6 5 __
1) Complete the missing gaps for these function machines. a)
+ 5 7 b)
× 4 24 c)
− 5 d)
÷ 3 15 3 9 e)
× 6 30 f)
+ 4 10
2) Can you complete these two-step function machine diagrams? 8 11 14
− 6 1 22
× 2 12
− 3
− 8
3) Can you complete these three-step function machine diagrams?
− 4 20 21 33 37
÷ 4
÷ 2 27 36 13 17 × − 18
1 & 2 Step Function Machines
What is the output when we input these numbers into the function machine?
The first output for each has been completed for you.
+ 3 2 4 6 5 __
1) Complete the missing gaps for these function machines. a)
+ 5 7 b)
× 4 24 c)
− 5 d)
÷ 3 15 3 9 e)
× 6 30 f)
+ 4 10
2) Can you complete these two-step function machine diagrams? 8 11 14
− 6 1 22
× 2 12
− 3
− 8
3) Can you complete these three-step function machine diagrams?
− 4 20 21 33 37
÷ 4
÷ 2 27 36 13 17 × − 18

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