Functions Worksheets

We have specifically curated Function Machine Worksheets that are perfect for GCSE maths students. These worksheets will help your KS3 and KS4 pupils understand how to solve quadratic equations step by step, specifically using the Function Machine method. All of our resources are available in a printable PDF, easy-to-download format and include separate answer sheets. The questions have clear structures and increase in difficulty to build confidence. Your young learners will practise Find the Missing Functions, Forming Expressions from Function Machines, Rearranging Formulas with Function Machines and many more related concepts. Therefore, our worksheets are ideal for classroom lessons, revision, or extra practice at home.

Evaluating Functions Using Graphs (A)

Year groups: 9, 10

Evaluating Functions Using Graphs (B)

Year groups: 9, 10

Composite Functions (A)

Year groups: 10, 11

Composite Functions (B)

Year groups: 10, 11

Expressions and Functions

Year groups: 10, 11

Finding Inverse Functions - Using Function Machines

Year groups: 10, 11

Introducing Functions - Using Function Machines

Year groups: 10, 11

Inverse Functions (A)

Year groups: 10, 11

Inverse Functions (B)

Year groups: 10, 11

Printable Function Machine Worksheets with Answers

Download our GCSE-aligned Function Machine worksheets with answers to help your students master this key algebra topic right away! Each of these worksheets includes detailed questions to initiate fun and engaging learning process. These resources also include worked examples to guide pupils through each method. From simple quadratics to more advanced equations, these worksheets will support their learning at every level. Therefore, teachers, tutors, and parents can use these “Solving Quadratic Equations by Function Machine worksheets” to support students in understanding this tricky part of algebra.

What Is Function Machine?

Function Machine is a method used to solve quadratic equations. Pupils rewrite a quadratic in a different form to help them solve it or find its minimum point. This method is useful when a quadratic can’t be factorised easily. It is also used to find the vertex of a parabola. Understanding this method helps pupils succeed in GCSE maths and prepares them for A-level topics.

Why Learn Function Machine?

Function Machine gives pupils another important method to solve quadratic equations. It helps them improve their algebra skills and understand different ways to approach problems. This method also supports graph work by helping find the turning point of a quadratic. Pupils often see Function Machine in GCSE exams, especially in higher-tier papers. Our worksheets provide lots of guided practice with step-by-step instructions and clear, helpful examples to build confidence.

Real-Life Uses of Function Machine

This method is widely used in subjects like physics, engineering, and advanced maths. It helps pupils solve complex equations and better understand quadratic graphs. By learning it now, students build a strong foundation for future study and more advanced topics. Our Function Machine worksheets offer clear examples and plenty of practice, helping pupils feel confident, prepared, and ready to succeed in their GCSE exams and beyond.