A Level Maths

A Level Maths Functions and Graphs Exam Questions

Free A Level Maths exam questions on Functions and Graphs, with full model answers. Covers transformations, polynomial graphs, reciprocal/rational graphs (y=a/x, y=a/x^2).

Functions and Graphs exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About A Level Maths Functions and Graphs

Functions and Graphs is part of Pure Maths in A Level Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.

What you need to know

  • Transformations y = af(bx + c) + d stretches and translates.
  • Sketching Roots, intercepts and asymptotes.
  • Reciprocal graphs y = a/x and y = a/x² shapes.

Common mistakes in Functions and Graphs

  • Translating in the wrong direction.
  • Missing asymptotes.

Try two Functions and Graphs exam-style questions

1. Describe y = f(x − 3) + 2 from y = f(x). (2 marks)

Show the mark scheme answer

Translation by vector (3, 2)

2. State the asymptotes of y = 1/x² . (1 mark)

Show the mark scheme answer

x = 0 and y = 0

Functions and Graphs FAQs

Which exam boards include Functions and Graphs?

These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Maths.

Is Functions and Graphs pure, mechanics or statistics?

Functions and Graphs is part of Pure Maths.

How should I use these Functions and Graphs questions?

Answer every question without notes, then check each line against the model answers and redo any you got wrong.