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Functions past paper questions

O Level Mathematics 4024 · Algebra and graphs. 1 Understand functions, domain and range, and use function notation. 2 Understand and find inverse functions f –1(x). 3 Form composite functions as defined by gf(x) = g(f(x)). Examples include: f (x) = 3x – 5 g(x) = 3(x + 4) 5 h(x) = 2x2 + 3 . e.g. f(x) = 3 x + 2 and g(x) = (3x + 5)2. Find fg(x). Give your answer as a fraction in its simplest form. Candidates are not expected to find the domains and ranges of composite functions. This topic may include mapping diagrams.

It came up in 23 of 46 papers, for about 5 marks a paper when it does. It last came up in October/November 2025.

Often set with Equations, Inequalities.

23 questions, newest first

  1. 4024/11/O/N/25 Question 19 · 3 marks
  2. 4024/12/O/N/25 Question 20 · 5 marks
  3. 4024/22/M/J/25 Question 17 · 3 marks
  4. 4024/11/O/N/24 Question 22 · 4 marks
  5. 4024/12/O/N/24 Question 22 · 6 marks
  6. 4024/11/M/J/24 Question 19 · 6 marks
  7. 4024/12/M/J/24 Question 20 · 5 marks
  8. 4024/11/O/N/23 Question 22 · 6 marks
  9. 4024/22/O/N/23 Question 11 parts (a) (b) · 3 marks
  10. 4024/11/M/J/23 Question 20 · 2 marks
  11. 4024/12/M/J/23 Question 17 · 5 marks
  12. 4024/12/O/N/22 Question 21 · 6 marks
  13. 4024/21/O/N/22 Question 4 parts (a) (b) (c) · 5 marks
  14. 4024/11/M/J/22 Question 20 · 4 marks
  15. 4024/12/M/J/22 Question 18 · 2 marks
  16. 4024/11/O/N/21 Question 21 · 7 marks
  17. 4024/12/O/N/21 Question 24 parts (a(i)) (a(ii)) · 3 marks
  18. 4024/21/M/J/21 Question 6 · 10 marks
  19. 4024/22/M/J/21 Question 8 parts (a) (c) (d) · 5 marks
  20. 4024/21/O/N/20 Question 10 · 7 marks
  21. 4024/22/O/N/20 Question 6 parts (a) (c) (d) · 6 marks
  22. 4024/11/M/J/20 Question 17 · 3 marks
  23. 4024/12/M/J/20 Question 22 part (a) · 2 marks

More in Algebra and graphs: Introduction to algebra, Algebraic manipulation, Algebraic fractions, Indices II, Equations, Inequalities, Sequences, Proportion, Graphs in practical situations, Graphs of functions, Sketching curves.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.