GCSE Maths
GCSE Maths Inverse and Composite Functions Exam Questions
Free GCSE Maths exam questions on Inverse and Composite Functions, with full model answers. Covers function notation, composite functions and inverses.
Inverse and Composite Functions exam questions
2 question packs of real past exam questions with their mark schemes. Answer every question without notes, then mark your answers line by line against the mark scheme.
About GCSE Maths Inverse and Composite Functions
Inverse and Composite Functions is a Grade 7 and Grade 8/9+ GCSE Maths topic, so it mostly comes up on Higher tier papers. These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE, Cambridge IGCSE, OxfordAQA IGCSE and Edexcel IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.
What you need to know
- Composite fg(x) means do g first.
- Inverse Swap x and y and rearrange.
- Notation f⁻¹(x).
Common mistakes in Inverse and Composite Functions
- Doing f first in fg(x).
- Taking 1/f(x) as the inverse.
Try two Inverse and Composite Functions exam-style questions
1. f(x) = 2x + 1, g(x) = x². Find fg(3). (1 mark)
Show the mark scheme answer
19
2. Find f⁻¹(x). (2 marks)
Show the mark scheme answer
(x − 1)/2
Inverse and Composite Functions FAQs
Which exam boards include Inverse and Composite Functions?
These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE, Cambridge IGCSE, OxfordAQA IGCSE and Edexcel IGCSE.
What grade is Inverse and Composite Functions in GCSE Maths?
It is a Grade 7 and Grade 8/9+ topic, so it mostly appears on Higher tier papers.
How should I use these Inverse and Composite Functions questions?
Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.
