IGCSE 0580 — Functions and Graphs past paper questions
Functions and Graphs covers function notation, inverses, composites, domain and range, drawing and interpreting linear, quadratic, cubic, reciprocal, exponential and trigonometric graphs, transformations, and the equation of a tangent. Higher Paper 4 questions often combine function manipulation with graph sketching.
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All 50 Functions and Graphs questions
- Jun 2023 Paper 21 Q21 — Estimate gradients using tangents (6 marks, Extended)
- Jun 2023 Paper 22 Q14 — Graphs of functions (2 marks, Extended)
- Mar 2023 Paper 22 Q25 — Graphs of functions (2 marks, Extended)
- Nov 2023 Paper 22 Q25 — Calculus (2 marks, Extended)
- Jun 2023 Paper 23 Q20 — Graphs of functions (6 marks, Extended)
- Jun 2023 Paper 31 Q8 — Graphs of functions (9 marks, Core)
- Jun 2023 Paper 33 Q4 — Graphs of functions (12 marks, Core)
- Nov 2023 Paper 41 Q3 — Graphs of functions (14 marks, Extended)
- Nov 2023 Paper 41 Q9 — Graphs of functions (15 marks, Extended)
- Jun 2023 Paper 41 Q10 — Graphs of functions (9 marks, Extended)
- Nov 2023 Paper 41 Q11 — Calculus (10 marks, Extended)
- Jun 2023 Paper 42 Q8 — Graphs of functions (13 marks, Extended)
- Mar 2023 Paper 42 Q9 — Graphs of functions (9 marks, Extended)
- Nov 2023 Paper 42 Q9 — Calculus (8 marks, Extended)
- Mar 2023 Paper 42 Q11 — Graphs of functions (10 marks, Extended)
- Nov 2023 Paper 42 Q11 — Graphs of functions (14 marks, Extended)
- Nov 2023 Paper 43 Q6 — Graphs of functions (12 marks, Extended)
- Jun 2023 Paper 43 Q12 — Calculus (8 marks, Extended)
- Jun 2024 Paper 11 Q3 — Graphs of functions (2 marks, Core)
- Nov 2024 Paper 21 Q18 — Graphs of functions (3 marks, Extended)
- Jun 2024 Paper 23 Q20 — Graphs of functions (4 marks, Extended)
- Nov 2024 Paper 31 Q9 — Graphs of functions (6 marks, Core)
- Nov 2024 Paper 33 Q8 — Graphs of functions (11 marks, Core)
- Jun 2024 Paper 41 Q8 — Graphs of functions (15 marks, Extended)
- Jun 2024 Paper 41 Q9 — Graphs of functions (12 marks, Extended)
- Mar 2024 Paper 42 Q8 — Graphs of functions (12 marks, Extended)
- Nov 2024 Paper 42 Q9 — Graphs of functions (8 marks, Extended)
- Nov 2024 Paper 42 Q10 — Calculus (9 marks, Extended)
- Mar 2024 Paper 42 Q11 — Graphs of functions (10 marks, Extended)
- Jun 2024 Paper 43 Q5 — Graphs of functions (13 marks, Extended)
- Jun 2024 Paper 43 Q10 — Calculus (11 marks, Extended)
- Nov 2024 Paper 43 Q11 — Graphs of functions (14 marks, Extended)
- Jun 2025 Paper 11 Q10 — Graphs of functions (5 marks, Core)
- Jun 2025 Paper 21 Q14 — Graphs of functions (8 marks, Extended)
- Nov 2025 Paper 21 Q18 — Graphs of functions (4 marks, Extended)
- Specimen 2025 Paper 21 Q18 — Graphs of functions (9 marks, Extended)
- Specimen 2025 Paper 21 Q26 — Graphs of functions (11 marks, Extended)
- Nov 2025 Paper 22 Q20 — Graphs of functions (11 marks, Extended)
- Jun 2025 Paper 23 Q21 — Calculus (6 marks, Extended)
- Jun 2025 Paper 23 Q22 — Graphs of functions (8 marks, Extended)
- Specimen 2025 Paper 31 Q13 — Graphs of functions (11 marks, Core)
- Nov 2025 Paper 31 Q16 — Graphs of functions (5 marks, Core)
- Jun 2025 Paper 31 Q28 — Graphs of functions (9 marks, Core)
- Jun 2025 Paper 33 Q4 — Graphs of functions (3 marks, Core)
- Nov 2025 Paper 33 Q28 — Graphs of functions (3 marks, Core)
- Specimen 2025 Paper 41 Q4 — Graphs of functions (2 marks, Extended)
- Nov 2025 Paper 41 Q28 — Graphs of functions (3 marks, Extended)
- Mar 2025 Paper 42 Q14 — Graphs of functions (5 marks, Extended)
- Jun 2025 Paper 42 Q19 — Graphs of functions (6 marks, Extended)
- Nov 2025 Paper 43 Q19 — Graphs of functions (8 marks, Extended)