IGCSE Maths 0580 Algebra and Graphs Past Paper Questions by Subtopic

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IGCSE Maths (0580) · Topic 2 · Algebra and Graphs

Topic 2 of the Cambridge IGCSE Mathematics (0580) syllabus covers expressions, equations, inequalities, sequences, graphs, functions and differentiation. Below are 187 real 0580 past paper questions on algebra and graphs from 32 question papers (May/June 2025 to May/June 2026), split into 11 subtopics. Every question shows its question paper code and has a step-by-step worked solution checked against the official Cambridge mark scheme.

0580 Algebra and Graphs past paper questions by subtopic

Linked 0580 subtopics in other topics

0580 Algebra and Graphs questions by question paper

0580/11/M/J/26 · 0580_s26_qp_11 · May/June 2026 Paper 1 (Core) · 5 questions
  1. Q2 — Introduction to Algebra
  2. Q18 — Graphs of Functions
  3. Q21(a) — Equations and Formulae
  4. Q21(b) — Algebraic Manipulation
  5. Q23 — Equations and Formulae
0580/12/M/J/26 · 0580_s26_qp_12 · May/June 2026 Paper 1 (Core) · 5 questions
  1. Q10 — Equations and Formulae
  2. Q18 — Algebraic Manipulation
  3. Q20 — Inequalities
  4. Q21 — Sequences
  5. Q28 — Equations and Formulae
0580/13/M/J/26 · 0580_s26_qp_13 · May/June 2026 Paper 1 (Core) · 6 questions
  1. Q4 — Introduction to Algebra
  2. Q10 — Introduction to Algebra
  3. Q12 — Algebraic Manipulation
  4. Q13 — Graphs of Functions
  5. Q22 — Equations and Formulae
  6. Q23 — Equations and Formulae
0580/21/M/J/26 · 0580_s26_qp_21 · May/June 2026 Paper 2 (Extended) · 7 questions
  1. Q2 — Equations and Formulae
  2. Q3 — Introduction to Algebra
  3. Q6 — Equations and Formulae
  4. Q8(c) — Graphs of Functions
  5. Q11 — Sequences
  6. Q16 — Algebraic Manipulation
  7. Q24 — Differentiation
0580/22/M/J/26 · 0580_s26_qp_22 · May/June 2026 Paper 2 (Extended) · 9 questions
  1. Q6(a) — Introduction to Algebra
  2. Q6(b) — Equations and Formulae
  3. Q7 — Algebraic Manipulation
  4. Q12 — Inequalities
  5. Q14 — Sequences
  6. Q19 — Algebraic Manipulation
  7. Q21 — Algebraic Manipulation
  8. Q23 — Differentiation
  9. Q25 — Equations and Formulae
0580/23/M/J/26 · 0580_s26_qp_23 · May/June 2026 Paper 2 (Extended) · 7 questions
  1. Q3 — Inequalities
  2. Q16 — Direct and Inverse Proportion
  3. Q17(a) — Introduction to Algebra
  4. Q17(b) — Equations and Formulae
  5. Q18 — Equations and Formulae
  6. Q24 — Algebraic Fractions
  7. Q26 — Algebraic Manipulation
0580/31/M/J/26 · 0580_s26_qp_31 · May/June 2026 Paper 3 (Core) · 6 questions
  1. Q7 — Graphs in Practical Situations
  2. Q8 — Equations and Formulae
  3. Q18 — Inequalities
  4. Q20(a) — Equations and Formulae
  5. Q20(b) — Algebraic Manipulation
  6. Q25 — Sequences
0580/32/M/J/26 · 0580_s26_qp_32 · May/June 2026 Paper 3 (Core) · 4 questions
  1. Q12 — Algebraic Manipulation
  2. Q14 — Equations and Formulae
  3. Q15 — Sequences
  4. Q18 — Graphs of Functions
0580/33/M/J/26 · 0580_s26_qp_33 · May/June 2026 Paper 3 (Core) · 5 questions
  1. Q8 — Sequences
  2. Q12 — Algebraic Manipulation
  3. Q13 — Equations and Formulae
  4. Q14 — Inequalities
  5. Q15 — Graphs in Practical Situations
0580/42/M/J/26 · 0580_s26_qp_42 · May/June 2026 Paper 4 (Extended) · 7 questions
  1. Q8 — Graphs of Functions
  2. Q9 — Equations and Formulae
  3. Q13 — Direct and Inverse Proportion
  4. Q15 — Algebraic Fractions
  5. Q17 — Functions
  6. Q18 — Equations and Formulae
  7. Q22 — Algebraic Fractions
0580/43/M/J/26 · 0580_s26_qp_43 · May/June 2026 Paper 4 (Extended) · 4 questions
  1. Q10(a) — Graphs in Practical Situations
  2. Q11 — Graphs of Functions
  3. Q18 — Functions
  4. Q20 — Differentiation
0580/12/F/M/26 · 0580_m26_qp_12 · Feb/Mar 2026 Paper 1 (Core) · 6 questions
  1. Q5 — Sequences
  2. Q7 — Introduction to Algebra
  3. Q18 — Algebraic Manipulation
  4. Q20 — Equations and Formulae
  5. Q22 — Algebraic Manipulation
  6. Q27 — Equations and Formulae
0580/22/F/M/26 · 0580_m26_qp_22 · Feb/Mar 2026 Paper 2 (Extended) · 4 questions
  1. Q4 — Algebraic Manipulation
  2. Q8 — Inequalities
  3. Q21 — Algebraic Fractions
  4. Q22 — Graphs of Functions
0580/32/F/M/26 · 0580_m26_qp_32 · Feb/Mar 2026 Paper 3 (Core) · 2 questions
  1. Q14 — Equations and Formulae
  2. Q16 — Sequences
0580/42/F/M/26 · 0580_m26_qp_42 · Feb/Mar 2026 Paper 4 (Extended) · 8 questions
  1. Q7 — Equations and Formulae
  2. Q10 — Equations and Formulae
  3. Q11 — Graphs in Practical Situations
  4. Q12 — Equations and Formulae
  5. Q13 — Inequalities
  6. Q15 — Functions
  7. Q17 — Differentiation
  8. Q22 — Sequences
0580/11/O/N/25 · 0580_w25_qp_11 · Oct/Nov 2025 Paper 1 (Core) · 5 questions
  1. Q7 — Sequences
  2. Q8 — Equations and Formulae
  3. Q16 — Graphs of Functions
  4. Q25 — Algebraic Manipulation
  5. Q29 — Equations and Formulae
0580/12/O/N/25 · 0580_w25_qp_12 · Oct/Nov 2025 Paper 1 (Core) · 3 questions
  1. Q23 — Equations and Formulae
  2. Q25 — Algebraic Manipulation
  3. Q27 — Sequences
0580/13/O/N/25 · 0580_w25_qp_13 · Oct/Nov 2025 Paper 1 (Core) · 4 questions
  1. Q12 — Equations and Formulae
  2. Q13 — Inequalities
  3. Q17 — Algebraic Manipulation
  4. Q21 — Sequences
0580/21/O/N/25 · 0580_w25_qp_21 · Oct/Nov 2025 Paper 2 (Extended) · 8 questions
  1. Q7 — Algebraic Fractions
  2. Q8 — Equations and Formulae
  3. Q16 — Inequalities
  4. Q17 — Equations and Formulae
  5. Q18 — Functions
  6. Q22 — Equations and Formulae
  7. Q23 — Differentiation
  8. Q25 — Algebraic Fractions
0580/22/O/N/25 · 0580_w25_qp_22 · Oct/Nov 2025 Paper 2 (Extended) · 6 questions
  1. Q7 — Inequalities
  2. Q8 — Introduction to Algebra
  3. Q10 — Equations and Formulae
  4. Q15 — Algebraic Manipulation
  5. Q20 — Functions
  6. Q22 — Algebraic Manipulation
0580/23/O/N/25 · 0580_w25_qp_23 · Oct/Nov 2025 Paper 2 (Extended) · 6 questions
  1. Q14 — Algebraic Manipulation
  2. Q15 — Algebraic Manipulation
  3. Q16 — Sequences
  4. Q26 — Algebraic Fractions
  5. Q27 — Equations and Formulae
  6. Q28 — Algebraic Fractions
0580/31/O/N/25 · 0580_w25_qp_31 · Oct/Nov 2025 Paper 3 (Core) · 5 questions
  1. Q3 — Introduction to Algebra
  2. Q8 — Inequalities
  3. Q16 — Graphs in Practical Situations
  4. Q17 — Algebraic Manipulation
  5. Q18 — Sequences
0580/32/O/N/25 · 0580_w25_qp_32 · Oct/Nov 2025 Paper 3 (Core) · 4 questions
  1. Q5 — Equations and Formulae
  2. Q11 — Introduction to Algebra
  3. Q17 — Inequalities
  4. Q27 — Graphs of Functions
0580/33/O/N/25 · 0580_w25_qp_33 · Oct/Nov 2025 Paper 3 (Core) · 5 questions
  1. Q12 — Introduction to Algebra
  2. Q19 — Algebraic Manipulation
  3. Q22 — Graphs of Functions
  4. Q24 — Equations and Formulae
  5. Q28 — Graphs in Practical Situations
0580/41/O/N/25 · 0580_w25_qp_41 · Oct/Nov 2025 Paper 4 (Extended) · 9 questions
  1. Q2 — Equations and Formulae
  2. Q6 — Algebraic Manipulation
  3. Q7 — Inequalities
  4. Q18 — Graphs in Practical Situations
  5. Q20 — Sequences
  6. Q23 — Direct and Inverse Proportion
  7. Q24 — Equations and Formulae
  8. Q26 — Equations and Formulae
  9. Q28 — Functions
0580/42/O/N/25 · 0580_w25_qp_42 · Oct/Nov 2025 Paper 4 (Extended) · 8 questions
  1. Q2 — Equations and Formulae
  2. Q9 — Graphs in Practical Situations
  3. Q10 — Sequences
  4. Q11 — Graphs of Functions
  5. Q13 — Algebraic Fractions
  6. Q17 — Algebraic Manipulation
  7. Q19 — Equations and Formulae
  8. Q21 — Direct and Inverse Proportion
0580/43/O/N/25 · 0580_w25_qp_43 · Oct/Nov 2025 Paper 4 (Extended) · 9 questions
  1. Q1 — Sequences
  2. Q3 — Introduction to Algebra
  3. Q10 — Equations and Formulae
  4. Q13 — Graphs of Functions
  5. Q14 — Equations and Formulae
  6. Q16 — Algebraic Manipulation
  7. Q17 — Equations and Formulae
  8. Q19 — Functions
  9. Q20 — Differentiation
0580/11/M/J/25 · 0580_s25_qp_11 · May/June 2025 Paper 1 (Core) · 6 questions
  1. Q7 — Introduction to Algebra
  2. Q9 — Sequences
  3. Q10 — Graphs in Practical Situations
  4. Q12 — Equations and Formulae
  5. Q16 — Algebraic Manipulation
  6. Q26 — Equations and Formulae
0580/12/M/J/25 · 0580_s25_qp_12 · May/June 2025 Paper 1 (Core) · 5 questions
  1. Q14 — Graphs of Functions
  2. Q15 — Equations and Formulae
  3. Q19 — Inequalities
  4. Q23 — Algebraic Manipulation
  5. Q24 — Equations and Formulae
0580/13/M/J/25 · 0580_s25_qp_13 · May/June 2025 Paper 1 (Core) · 5 questions
  1. Q5 — Sequences
  2. Q15 — Inequalities
  3. Q21 — Equations and Formulae
  4. Q22 — Equations and Formulae
  5. Q25 — Equations and Formulae
0580/21/M/J/25 · 0580_s25_qp_21 · May/June 2025 Paper 2 (Extended) · 7 questions
  1. Q1 — Algebraic Manipulation
  2. Q11 — Graphs of Functions
  3. Q14 — Functions
  4. Q16 — Algebraic Manipulation
  5. Q18 — Algebraic Fractions
  6. Q22 — Differentiation
  7. Q23 — Algebraic Fractions
0580/22/M/J/25 · 0580_s25_qp_22 · May/June 2025 Paper 2 (Extended) · 7 questions
  1. Q6 — Equations and Formulae
  2. Q7 — Sequences
  3. Q15 — Graphs of Functions
  4. Q19 — Algebraic Fractions
  5. Q20 — Direct and Inverse Proportion
  6. Q21 — Differentiation
  7. Q24 — Equations and Formulae

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