SEAGReady
NumberP6 level17 questions in the full course

One-Step Function MachinesSEAG Practice Questions

Using function machines with a single operation to find outputs from inputs, and working backwards to find inputs.

Where your child meets this in real life: Understanding processes with inputs and outputs, like vending machines or recipes

What your child needs to know

SEAGReady breaks one-step function machines into 2 steps, taught in order so each skill builds on the last.

  1. 1

    Finding Outputs

    Find the output when given an input and a single operation in a function machine

  2. 2

    Finding Inputs

    Find the input when given an output and a single operation by working backwards using inverse operations

Try these SEAG-style questions

Three free sample questions from our one-step function machines course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

Charlotte puts 8 into the function machine shown. What output comes out?

A function machine takes input 8, multiplies by 4, and hides the output with a question mark.
Answer choices for question 1
Question 2Confidence builder

The function machine gives the output shown. What number was put in?

A function machine hides its input, adds 9, and shows output 23.
Answer choices for question 2
Question 3Confidence builder

Jamie's toy robot has a rule: multiply the number typed in by 6. He types in 9. What number does the robot display?

Answer choices for question 3

Try the lesson: Finding Outputs

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Emma is using a function machine. The machine takes a number, multiplies it by 4, and gives the output.

If she puts in 7, what number comes out?

7 → ×4 → ?

Identify the input and operation
1

The input is 7

Step 1 of 3

Prefer to read? See every step written out

Emma is using a function machine. The machine takes a number, multiplies it by 4, and gives the output.

If she puts in 7, what number comes out?

  1. 1

    Identify the input and operation

    • The input is 7
    • The operation is ×4
  2. 2

    Apply the operation to find the output

    • Multiply the input by 47 × 4 = 28

When Emma puts in 7, the machine gives 28.

The key insight: A function machine always does the same thing to any number you put in!

Common mix-up: 7 + 4 = 11. The operation is multiply (×4), not add (+4). Read the operation symbol carefully.

Mistakes to watch for

These are the misconceptions we see most often in one-step function machines, including the ones our practice questions are specifically designed to catch.

  • Applying the operation in the wrong direction when finding input
  • Not using inverse operations to work backwards
  • Confusing input and output

Build these skills first

Struggling with one-step function machines? The real gap is often in one of these earlier topics.

More number practice

17 questions on this topic alone

Master one-step function machines and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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