Function Machines – Simple – Worksheet A The worksheet is provided in a variety of sizes/formats.

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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

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 − ÷

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 ÷

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

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

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 − ÷

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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