IGCSE Maths 0580 Past Paper Questions by Topic with Worked Solutions

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Last updated: · 852 questions · 32 papers · May/June 2025 to May/June 2026

IGCSE Maths (0580) · Topic Questions

852 Cambridge IGCSE Mathematics (0580) past paper questions from 32 question papers (May/June 2025 to May/June 2026), sorted into the nine syllabus topics and their subtopics. Each page has every matching question with a step-by-step worked solution checked against the official mark scheme. Search by topic below, or jump to any question paper code, such as 0580/11/M/J/26 (0580_s26_qp_11), in the paper finder.

0580 past paper questions by topic

1. Number293 Q

2. Algebra and Graphs187 Q

3. Coordinate Geometry22 Q

4. Geometry120 Q

5. Mensuration66 Q

6. Trigonometry47 Q

7. Transformations and Vectors36 Q

8. Probability24 Q

9. Statistics57 Q

0580 questions by question paper code

Open a paper to see where each of its questions is solved. Codes are shown in both the official format (0580/42/O/N/25) and the file-name format (0580_w25_qp_42).

0580/11/M/J/26 · 0580_s26_qp_11 · May/June 2026 Paper 1 (Core) · 24 questions
  1. Q1 — Types of Number
  2. Q2 — Introduction to Algebra
  3. Q3 — Geometrical Terms and Nets
  4. Q4 — Geometrical Terms and Nets
  5. Q5 — Fractions, Decimals and Percentages
  6. Q6 — Geometrical Constructions
  7. Q7 — Introduction to Probability
  8. Q8 — The Four Operations
  9. Q9 — Time
  10. Q10 — Angles
  11. Q11 — Geometrical Terms and Nets
  12. Q12 — Averages and Range
  13. Q13 — Estimation and Rounding
  14. Q14 — Ratio and Proportion
  15. Q15 — Sets and Venn Diagrams
  16. Q16 — Types of Number
  17. Q17 — The Four Operations
  18. Q18 — Graphs of Functions
  19. Q19 — Transformations
  20. Q20 — Equations of Linear Graphs
  21. Q21(a) — Equations and Formulae
  22. Q21(b) — Algebraic Manipulation
  23. Q22 — Limits of Accuracy
  24. Q23 — Equations and Formulae
0580/12/M/J/26 · 0580_s26_qp_12 · May/June 2026 Paper 1 (Core) · 31 questions
  1. Q1 — Powers and Roots
  2. Q2(a) — The Four Operations
  3. Q2(b) — Percentages
  4. Q3 — Fractions, Decimals and Percentages
  5. Q4 — Area and Perimeter
  6. Q5 — Estimation and Rounding
  7. Q6 — The Four Operations
  8. Q7 — Fractions, Decimals and Percentages
  9. Q8 — Area and Perimeter
  10. Q9 — Statistical Charts and Diagrams
  11. Q10 — Equations and Formulae
  12. Q11 — Units of Measure
  13. Q12 — Geometrical Terms and Nets
  14. Q13(a) — Similarity
  15. Q13(b) — Area and Perimeter
  16. Q14 — Ratio and Proportion
  17. Q15 — Geometrical Terms and Nets
  18. Q16 — Types of Number
  19. Q17 — Angles
  20. Q18 — Algebraic Manipulation
  21. Q19 — Equations of Linear Graphs
  22. Q20 — Inequalities
  23. Q21 — Sequences
  24. Q22 — Probability of Combined Events
  25. Q23 — Circles, Arcs and Sectors
  26. Q24 — Averages and Range
  27. Q25 — Sets and Venn Diagrams
  28. Q26 — Standard Form
  29. Q27 — The Four Operations
  30. Q28 — Equations and Formulae
  31. Q29 — Transformations
0580/13/M/J/26 · 0580_s26_qp_13 · May/June 2026 Paper 1 (Core) · 26 questions
  1. Q1 — Types of Number
  2. Q2 — Types of Number
  3. Q3 — Geometrical Terms and Nets
  4. Q4 — Introduction to Algebra
  5. Q5(a) — Ratio and Proportion
  6. Q5(b) — Time
  7. Q6 — Fractions, Decimals and Percentages
  8. Q7 — Averages and Range
  9. Q8 — Statistical Charts and Diagrams
  10. Q9 — Circle Theorems
  11. Q10 — Introduction to Algebra
  12. Q11 — The Four Operations
  13. Q12 — Algebraic Manipulation
  14. Q13 — Graphs of Functions
  15. Q14(a) — Geometrical Terms and Nets
  16. Q14(b) — Surface Area and Volume
  17. Q15 — Percentages
  18. Q16 — Circles, Arcs and Sectors
  19. Q17 — Units of Measure
  20. Q18(a) — Powers and Roots
  21. Q18(b) — Indices
  22. Q19 — Types of Number
  23. Q20 — Transformations
  24. Q21 — Estimation and Rounding
  25. Q22 — Equations and Formulae
  26. Q23 — Equations and Formulae
0580/21/M/J/26 · 0580_s26_qp_21 · May/June 2026 Paper 2 (Extended) · 29 questions
  1. Q1 — Indices
  2. Q2 — Equations and Formulae
  3. Q3 — Introduction to Algebra
  4. Q4 — Area and Perimeter
  5. Q5 — Statistical Charts and Diagrams
  6. Q6 — Equations and Formulae
  7. Q7 — Scale Drawings and Bearings
  8. Q8(a) — Length and Midpoint
  9. Q8(b) — Vectors in Two Dimensions
  10. Q8(c) — Graphs of Functions
  11. Q9 — Sets and Venn Diagrams
  12. Q10 — Types of Number
  13. Q11 — Sequences
  14. Q12 — Gradient of Linear Graphs
  15. Q13 — Fractions, Decimals and Percentages
  16. Q14 — Cumulative Frequency
  17. Q15 — Circles, Arcs and Sectors
  18. Q16 — Algebraic Manipulation
  19. Q17 — Transformations
  20. Q18 — Exact Trigonometric Values
  21. Q19 — Standard Form
  22. Q20 — Indices
  23. Q21(a,b) — Surface Area and Volume
  24. Q21(c,d) — Pythagoras and Trigonometry in 3D
  25. Q22 — Histograms
  26. Q23 — Similarity
  27. Q24 — Differentiation
  28. Q25 — Vector Geometry
  29. Q26 — Surds
0580/22/M/J/26 · 0580_s26_qp_22 · May/June 2026 Paper 2 (Extended) · 26 questions
  1. Q1 — Scatter Diagrams
  2. Q2 — Surface Area and Volume
  3. Q3 — Types of Number
  4. Q4 — The Four Operations
  5. Q5 — Transformations
  6. Q6(a) — Introduction to Algebra
  7. Q6(b) — Equations and Formulae
  8. Q7 — Algebraic Manipulation
  9. Q8 — Exact Trigonometric Values
  10. Q9 — Types of Number
  11. Q10 — Fractions, Decimals and Percentages
  12. Q11 — Angles
  13. Q12 — Inequalities
  14. Q13 — Circles, Arcs and Sectors
  15. Q14 — Sequences
  16. Q15 — Circle Theorems
  17. Q16 — Surface Area and Volume
  18. Q17 — Surds
  19. Q18 — Probability of Combined Events
  20. Q19 — Algebraic Manipulation
  21. Q20 — Similarity
  22. Q21 — Algebraic Manipulation
  23. Q22 — Vector Geometry
  24. Q23 — Differentiation
  25. Q24 — Indices
  26. Q25 — Equations and Formulae
0580/23/M/J/26 · 0580_s26_qp_23 · May/June 2026 Paper 2 (Extended) · 30 questions
  1. Q1 — Percentages
  2. Q2 — Statistical Charts and Diagrams
  3. Q3 — Inequalities
  4. Q4 — Averages and Range
  5. Q5 — Relative and Expected Frequencies
  6. Q6 — Types of Number
  7. Q7 — Scale Drawings and Bearings
  8. Q8 — Drawing Linear Graphs
  9. Q9 — Standard Form
  10. Q10 — Vectors in Two Dimensions
  11. Q11 — Angles
  12. Q12 — Transformations
  13. Q13(a) — Pythagoras’ Theorem
  14. Q13(b) — Circle Theorems
  15. Q14 — Surface Area and Volume
  16. Q15 — Circle Theorems
  17. Q16 — Direct and Inverse Proportion
  18. Q17(a) — Introduction to Algebra
  19. Q17(b) — Equations and Formulae
  20. Q18 — Equations and Formulae
  21. Q19 — Exact Trigonometric Values
  22. Q20 — Similarity
  23. Q21 — Surds
  24. Q22 — Indices
  25. Q23 — Circles, Arcs and Sectors
  26. Q24 — Algebraic Fractions
  27. Q25 — Sets and Venn Diagrams
  28. Q26 — Algebraic Manipulation
  29. Q27 — Probability of Combined Events
  30. Q28 — Vector Geometry
0580/31/M/J/26 · 0580_s26_qp_31 · May/June 2026 Paper 3 (Core) · 30 questions
  1. Q1 — Money and Exchange Rates
  2. Q2(a) — Indices
  3. Q2(b) — Powers and Roots
  4. Q3 — Money and Exchange Rates
  5. Q4 — Percentages
  6. Q5 — Statistical Charts and Diagrams
  7. Q6 — Ordering Numbers
  8. Q7 — Graphs in Practical Situations
  9. Q8 — Equations and Formulae
  10. Q9 — Symmetry
  11. Q10 — Statistical Charts and Diagrams
  12. Q11 — Scale Drawings and Bearings
  13. Q12 — Ordering Numbers
  14. Q13 — The Four Operations
  15. Q14 — Types of Number
  16. Q15 — Surface Area and Volume
  17. Q16 — Scatter Diagrams
  18. Q17 — Compound Shapes and Parts of Shapes
  19. Q18 — Inequalities
  20. Q19 — Circle Theorems
  21. Q20(a) — Equations and Formulae
  22. Q20(b) — Algebraic Manipulation
  23. Q21 — Standard Form
  24. Q22 — Percentages
  25. Q23 — Angles
  26. Q24 — Rates and Speed
  27. Q25 — Sequences
  28. Q26 — Pythagoras’ Theorem
  29. Q27 — Parallel Lines
  30. Q28 — Right-Angled Trigonometry
0580/32/M/J/26 · 0580_s26_qp_32 · May/June 2026 Paper 3 (Core) · 27 questions
  1. Q1 — Types of Number
  2. Q2 — Types of Number
  3. Q3 — Money and Exchange Rates
  4. Q4 — Using a Calculator
  5. Q5 — Averages and Range
  6. Q6 — Types of Number
  7. Q7 — Fractions, Decimals and Percentages
  8. Q8 — Scale Drawings and Bearings
  9. Q9 — Money and Exchange Rates
  10. Q10 — Percentages
  11. Q11 — Surface Area and Volume
  12. Q12 — Algebraic Manipulation
  13. Q13 — Indices
  14. Q14 — Equations and Formulae
  15. Q15 — Sequences
  16. Q16 — Relative and Expected Frequencies
  17. Q17(a,c) — Compound Shapes and Parts of Shapes
  18. Q17(b) — Pythagoras’ Theorem
  19. Q18 — Graphs of Functions
  20. Q19 — Statistical Charts and Diagrams
  21. Q20 — Compound Shapes and Parts of Shapes
  22. Q21 — Rates and Speed
  23. Q22 — Types of Number
  24. Q23 — Limits of Accuracy
  25. Q24 — Surface Area and Volume
  26. Q25 — Types of Number
  27. Q26 — Right-Angled Trigonometry
0580/33/M/J/26 · 0580_s26_qp_33 · May/June 2026 Paper 3 (Core) · 30 questions
  1. Q1 — Time
  2. Q2 — Types of Number
  3. Q3(a) — Similarity
  4. Q3(b) — Area and Perimeter
  5. Q4 — Using a Calculator
  6. Q5 — Symmetry
  7. Q6 — Ordering Numbers
  8. Q7 — Area and Perimeter
  9. Q8 — Sequences
  10. Q9 — Scale Drawings and Bearings
  11. Q10 — Fractions, Decimals and Percentages
  12. Q11(a) — Statistical Charts and Diagrams
  13. Q11(b) — Scatter Diagrams
  14. Q12 — Algebraic Manipulation
  15. Q13 — Equations and Formulae
  16. Q14 — Inequalities
  17. Q15 — Graphs in Practical Situations
  18. Q16 — Percentages
  19. Q17 — Rates and Speed
  20. Q18 — Money and Exchange Rates
  21. Q19 — Angles
  22. Q20 — Probability of Combined Events
  23. Q21(a) — Drawing Linear Graphs
  24. Q21(b) — Gradient of Linear Graphs
  25. Q22 — Sets and Venn Diagrams
  26. Q23 — Similarity
  27. Q24 — Standard Form
  28. Q25(a) — Circle Theorems
  29. Q25(b,c) — Right-Angled Trigonometry
  30. Q26 — Surface Area and Volume
0580/42/M/J/26 · 0580_s26_qp_42 · May/June 2026 Paper 4 (Extended) · 24 questions
  1. Q1 — Angles
  2. Q2 — Averages and Range
  3. Q3 — Geometrical Constructions
  4. Q4 — Percentages
  5. Q5 — Vectors in Two Dimensions
  6. Q6 — Circles, Arcs and Sectors
  7. Q7 — Exponential Growth and Decay
  8. Q8 — Graphs of Functions
  9. Q9 — Equations and Formulae
  10. Q10 — Percentages
  11. Q11 — Right-Angled Trigonometry
  12. Q12 — Exponential Growth and Decay
  13. Q13 — Direct and Inverse Proportion
  14. Q14 — Trigonometric Functions
  15. Q15 — Algebraic Fractions
  16. Q16(a,b) — Surface Area and Volume
  17. Q16(c,d) — Pythagoras and Trigonometry in 3D
  18. Q17 — Functions
  19. Q18 — Equations and Formulae
  20. Q19 — Histograms
  21. Q20(a) — Scale Drawings and Bearings
  22. Q20(b,c) — Non-Right-Angled Triangles
  23. Q21 — Limits of Accuracy
  24. Q22 — Algebraic Fractions
0580/43/M/J/26 · 0580_s26_qp_43 · May/June 2026 Paper 4 (Extended) · 27 questions
  1. Q1 — Fractions, Decimals and Percentages
  2. Q2 — Percentages
  3. Q3 — Using a Calculator
  4. Q4 — Money and Exchange Rates
  5. Q5 — Ratio and Proportion
  6. Q6 — Scatter Diagrams
  7. Q7(a) — Pythagoras’ Theorem
  8. Q7(b) — Right-Angled Trigonometry
  9. Q8(a) — Angles
  10. Q8(b)(i) — Similarity
  11. Q8(b)(ii) — Non-Right-Angled Triangles
  12. Q9 — Averages and Range
  13. Q10(a) — Graphs in Practical Situations
  14. Q10(b) — Rates and Speed
  15. Q11 — Graphs of Functions
  16. Q12 — Trigonometric Functions
  17. Q13 — Non-Right-Angled Triangles
  18. Q14(a) — Length and Midpoint
  19. Q14(b) — Perpendicular Lines
  20. Q15 — Non-Right-Angled Triangles
  21. Q16 — Limits of Accuracy
  22. Q17 — Pythagoras and Trigonometry in 3D
  23. Q18 — Functions
  24. Q19(a) — Percentages
  25. Q19(b,c) — Exponential Growth and Decay
  26. Q20 — Differentiation
  27. Q21 — Surface Area and Volume
0580/12/F/M/26 · 0580_m26_qp_12 · Feb/Mar 2026 Paper 1 (Core) · 27 questions
  1. Q1 — The Four Operations
  2. Q2 — Statistical Charts and Diagrams
  3. Q3 — Fractions, Decimals and Percentages
  4. Q4 — Fractions, Decimals and Percentages
  5. Q5 — Sequences
  6. Q6 — Geometrical Constructions
  7. Q7 — Introduction to Algebra
  8. Q8 — Types of Number
  9. Q9 — Powers and Roots
  10. Q10 — Angles
  11. Q11 — The Four Operations
  12. Q12 — Indices
  13. Q13 — Powers and Roots
  14. Q14 — Statistical Charts and Diagrams
  15. Q15 — Relative and Expected Frequencies
  16. Q16 — Geometrical Terms and Nets
  17. Q17 — Circles, Arcs and Sectors
  18. Q18 — Algebraic Manipulation
  19. Q19 — Sets and Venn Diagrams
  20. Q20 — Equations and Formulae
  21. Q21 — Transformations
  22. Q22 — Algebraic Manipulation
  23. Q23 — Limits of Accuracy
  24. Q24 — Units of Measure
  25. Q25 — Estimation and Rounding
  26. Q26 — The Four Operations
  27. Q27 — Equations and Formulae
0580/22/F/M/26 · 0580_m26_qp_22 · Feb/Mar 2026 Paper 2 (Extended) · 26 questions
  1. Q1 — The Four Operations
  2. Q2 — Symmetry
  3. Q3(a) — Types of Number
  4. Q3(b) — Relative and Expected Frequencies
  5. Q4 — Algebraic Manipulation
  6. Q5(a,c) — Ratio and Proportion
  7. Q5(b) — Percentages
  8. Q6 — Averages and Range
  9. Q7 — Perpendicular Lines
  10. Q8 — Inequalities
  11. Q9 — Pythagoras’ Theorem
  12. Q10 — Scale Drawings and Bearings
  13. Q11 — Transformations
  14. Q12 — Standard Form
  15. Q13 — Sets and Venn Diagrams
  16. Q14 — Angles
  17. Q15 — Surds
  18. Q16(a,b) — Circle Theorems
  19. Q16(c) — Circles, Arcs and Sectors
  20. Q17 — Exact Trigonometric Values
  21. Q18 — Surface Area and Volume
  22. Q19(a) — Vectors in Two Dimensions
  23. Q19(b,c) — Perpendicular Lines
  24. Q20 — Indices
  25. Q21 — Algebraic Fractions
  26. Q22 — Graphs of Functions
0580/32/F/M/26 · 0580_m26_qp_32 · Feb/Mar 2026 Paper 3 (Core) · 26 questions
  1. Q1 — Types of Number
  2. Q2 — Area and Perimeter
  3. Q3 — Symmetry
  4. Q4 — Money and Exchange Rates
  5. Q5 — Using a Calculator
  6. Q6 — Ratio and Proportion
  7. Q7 — Geometrical Constructions
  8. Q8 — Fractions, Decimals and Percentages
  9. Q9(a) — Time
  10. Q9(b) — Rates and Speed
  11. Q10 — Scale Drawings and Bearings
  12. Q11 — Statistical Charts and Diagrams
  13. Q12 — Surface Area and Volume
  14. Q13 — Averages and Range
  15. Q14 — Equations and Formulae
  16. Q15 — Money and Exchange Rates
  17. Q16 — Sequences
  18. Q17 — Surface Area and Volume
  19. Q18 — Drawing Linear Graphs
  20. Q19 — Circles, Arcs and Sectors
  21. Q20 — Right-Angled Trigonometry
  22. Q21 — Indices
  23. Q22 — Percentages
  24. Q23 — Types of Number
  25. Q24 — Percentages
  26. Q25 — Pythagoras’ Theorem
0580/42/F/M/26 · 0580_m26_qp_42 · Feb/Mar 2026 Paper 4 (Extended) · 24 questions
  1. Q1 — Types of Number
  2. Q2 — Angles
  3. Q3 — Using a Calculator
  4. Q4 — Money and Exchange Rates
  5. Q5 — Time
  6. Q6 — Introduction to Probability
  7. Q7 — Equations and Formulae
  8. Q8 — Symmetry
  9. Q9 — Surface Area and Volume
  10. Q10 — Equations and Formulae
  11. Q11 — Graphs in Practical Situations
  12. Q12 — Equations and Formulae
  13. Q13 — Inequalities
  14. Q14 — Similarity
  15. Q15 — Functions
  16. Q16 — Exponential Growth and Decay
  17. Q17 — Differentiation
  18. Q18(a,b) — Histograms
  19. Q18(c) — Probability of Combined Events
  20. Q19 — Vector Geometry
  21. Q20 — Non-Right-Angled Triangles
  22. Q21 — Limits of Accuracy
  23. Q22 — Sequences
  24. Q23 — Trigonometric Functions
0580/11/O/N/25 · 0580_w25_qp_11 · Oct/Nov 2025 Paper 1 (Core) · 29 questions
  1. Q1 — Estimation and Rounding
  2. Q2 — Geometrical Terms and Nets
  3. Q3 — Geometrical Terms and Nets
  4. Q4 — Types of Number
  5. Q5 — Geometrical Constructions
  6. Q6 — Symmetry
  7. Q7 — Sequences
  8. Q8 — Equations and Formulae
  9. Q9 — Percentages
  10. Q10 — Averages and Range
  11. Q11 — The Four Operations
  12. Q12 — Geometrical Terms and Nets
  13. Q13 — Scale Drawings and Bearings
  14. Q14 — Statistical Charts and Diagrams
  15. Q15 — Angles
  16. Q16 — Graphs of Functions
  17. Q17 — Powers and Roots
  18. Q18 — The Four Operations
  19. Q19 — Estimation and Rounding
  20. Q20 — Fractions, Decimals and Percentages
  21. Q21 — Transformations
  22. Q22 — Ratio and Proportion
  23. Q23 — Indices
  24. Q24 — Sets and Venn Diagrams
  25. Q25 — Algebraic Manipulation
  26. Q26 — Standard Form
  27. Q27 — Circles, Arcs and Sectors
  28. Q28 — The Four Operations
  29. Q29 — Equations and Formulae
0580/12/O/N/25 · 0580_w25_qp_12 · Oct/Nov 2025 Paper 1 (Core) · 27 questions
  1. Q1 — Types of Number
  2. Q2 — Money and Exchange Rates
  3. Q3 — Estimation and Rounding
  4. Q4 — Powers and Roots
  5. Q5 — Symmetry
  6. Q6 — Fractions, Decimals and Percentages
  7. Q7 — Introduction to Probability
  8. Q8 — Types of Number
  9. Q9 — The Four Operations
  10. Q10 — Introduction to Probability
  11. Q11 — Averages and Range
  12. Q12 — Angles
  13. Q13 — Geometrical Terms and Nets
  14. Q14 — Angles
  15. Q15 — Ratio and Proportion
  16. Q16 — Standard Form
  17. Q17 — Area and Perimeter
  18. Q18 — The Four Operations
  19. Q19 — Transformations
  20. Q20 — Sets and Venn Diagrams
  21. Q21 — Indices
  22. Q22 — Angles
  23. Q23 — Equations and Formulae
  24. Q24 — Circle Theorems
  25. Q25 — Algebraic Manipulation
  26. Q26 — Limits of Accuracy
  27. Q27 — Sequences
0580/13/O/N/25 · 0580_w25_qp_13 · Oct/Nov 2025 Paper 1 (Core) · 27 questions
  1. Q1 — Geometrical Terms and Nets
  2. Q2 — Estimation and Rounding
  3. Q3 — Angles
  4. Q4 — Statistical Charts and Diagrams
  5. Q5 — Geometrical Terms and Nets
  6. Q6 — Powers and Roots
  7. Q7 — Time
  8. Q8 — Averages and Range
  9. Q9 — Indices
  10. Q10 — Angles
  11. Q11 — Money and Exchange Rates
  12. Q12 — Equations and Formulae
  13. Q13 — Inequalities
  14. Q14 — Percentages
  15. Q15 — Units of Measure
  16. Q16 — Ratio and Proportion
  17. Q17 — Algebraic Manipulation
  18. Q18 — Circles, Arcs and Sectors
  19. Q19 — Angles
  20. Q20 — Limits of Accuracy
  21. Q21 — Sequences
  22. Q22 — Transformations
  23. Q23 — Sets and Venn Diagrams
  24. Q24 — Scale Drawings and Bearings
  25. Q25 — The Four Operations
  26. Q26 — Probability of Combined Events
  27. Q27 — Standard Form
0580/21/O/N/25 · 0580_w25_qp_21 · Oct/Nov 2025 Paper 2 (Extended) · 27 questions
  1. Q1 — Ratio and Proportion
  2. Q2 — Angles
  3. Q3 — Angles
  4. Q4 — Area and Perimeter
  5. Q5 — Transformations
  6. Q6 — Indices
  7. Q7 — Algebraic Fractions
  8. Q8 — Equations and Formulae
  9. Q9 — Limits of Accuracy
  10. Q10 — Sets and Venn Diagrams
  11. Q11 — Fractions, Decimals and Percentages
  12. Q12 — Circles, Arcs and Sectors
  13. Q13 — Averages and Range
  14. Q14(a) — Circle Theorems
  15. Q14(b) — Similarity
  16. Q15 — Standard Form
  17. Q16 — Inequalities
  18. Q17 — Equations and Formulae
  19. Q18 — Functions
  20. Q19 — Indices
  21. Q20 — Probability of Combined Events
  22. Q21 — Surds
  23. Q22 — Equations and Formulae
  24. Q23 — Differentiation
  25. Q24 — Vector Geometry
  26. Q25 — Algebraic Fractions
  27. Q26 — Exact Trigonometric Values
0580/22/O/N/25 · 0580_w25_qp_22 · Oct/Nov 2025 Paper 2 (Extended) · 24 questions
  1. Q1 — The Four Operations
  2. Q2 — Types of Number
  3. Q3 — Surface Area and Volume
  4. Q4 — Percentages
  5. Q5 — Statistical Charts and Diagrams
  6. Q6 — Angles
  7. Q7 — Inequalities
  8. Q8 — Introduction to Algebra
  9. Q9 — The Four Operations
  10. Q10 — Equations and Formulae
  11. Q11 — Similarity
  12. Q12 — Sets and Venn Diagrams
  13. Q13 — Types of Number
  14. Q14 — Indices
  15. Q15 — Algebraic Manipulation
  16. Q16 — Angles
  17. Q17 — Perpendicular Lines
  18. Q18 — Surds
  19. Q19 — Pythagoras and Trigonometry in 3D
  20. Q20 — Functions
  21. Q21 — Trigonometric Functions
  22. Q22 — Algebraic Manipulation
  23. Q23 — Surface Area and Volume
  24. Q24 — Indices
0580/23/O/N/25 · 0580_w25_qp_23 · Oct/Nov 2025 Paper 2 (Extended) · 29 questions
  1. Q1 — Angles
  2. Q2 — Types of Number
  3. Q3 — Geometrical Terms and Nets
  4. Q4 — Area and Perimeter
  5. Q5 — Angles
  6. Q6 — Scatter Diagrams
  7. Q7 — Types of Number
  8. Q8 — Vectors in Two Dimensions
  9. Q9 — Indices
  10. Q10 — Pythagoras’ Theorem
  11. Q11 — Probability of Combined Events
  12. Q12 — Indices
  13. Q13 — Circle Theorems
  14. Q14 — Algebraic Manipulation
  15. Q15 — Algebraic Manipulation
  16. Q16 — Sequences
  17. Q17 — Trigonometric Functions
  18. Q18 — Sets and Venn Diagrams
  19. Q19 — Circles, Arcs and Sectors
  20. Q20 — Fractions, Decimals and Percentages
  21. Q21 — Circle Theorems
  22. Q22 — Perpendicular Lines
  23. Q23 — Non-Right-Angled Triangles
  24. Q24 — Surds
  25. Q25 — Probability of Combined Events
  26. Q26 — Algebraic Fractions
  27. Q27 — Equations and Formulae
  28. Q28 — Algebraic Fractions
  29. Q29 — Surface Area and Volume
0580/31/O/N/25 · 0580_w25_qp_31 · Oct/Nov 2025 Paper 3 (Core) · 25 questions
  1. Q1 — Geometrical Terms and Nets
  2. Q2 — Money and Exchange Rates
  3. Q3 — Introduction to Algebra
  4. Q4 — Fractions, Decimals and Percentages
  5. Q5 — Using a Calculator
  6. Q6 — Averages and Range
  7. Q7 — Introduction to Probability
  8. Q8 — Inequalities
  9. Q9 — Angles
  10. Q10 — Ratio and Proportion
  11. Q11 — Percentages
  12. Q12 — Statistical Charts and Diagrams
  13. Q13 — Area and Perimeter
  14. Q14 — Introduction to Probability
  15. Q15 — Transformations
  16. Q16 — Graphs in Practical Situations
  17. Q17 — Algebraic Manipulation
  18. Q18 — Sequences
  19. Q19 — Percentages
  20. Q20(a) — Angles
  21. Q20(b) — Circle Theorems
  22. Q21 — Equations of Linear Graphs
  23. Q22 — Types of Number
  24. Q23 — Standard Form
  25. Q24 — Right-Angled Trigonometry
0580/32/O/N/25 · 0580_w25_qp_32 · Oct/Nov 2025 Paper 3 (Core) · 28 questions
  1. Q1 — Geometrical Terms and Nets
  2. Q2 — Types of Number
  3. Q3 — Ordering Numbers
  4. Q4 — Perpendicular Lines
  5. Q5 — Equations and Formulae
  6. Q6 — Types of Number
  7. Q7 — Powers and Roots
  8. Q8 — Units of Measure
  9. Q9 — Geometrical Terms and Nets
  10. Q10 — Averages and Range
  11. Q11 — Introduction to Algebra
  12. Q12 — Statistical Charts and Diagrams
  13. Q13 — Estimation and Rounding
  14. Q14 — Money and Exchange Rates
  15. Q15 — Scale Drawings and Bearings
  16. Q16 — Percentages
  17. Q17 — Inequalities
  18. Q18 — Scatter Diagrams
  19. Q19 — Surface Area and Volume
  20. Q20 — Averages and Range
  21. Q21 — Standard Form
  22. Q22 — Compound Shapes and Parts of Shapes
  23. Q23 — Pythagoras’ Theorem
  24. Q24 — Similarity
  25. Q25 — Parallel Lines
  26. Q26 — Right-Angled Trigonometry
  27. Q27 — Graphs of Functions
  28. Q28 — Percentages
0580/33/O/N/25 · 0580_w25_qp_33 · Oct/Nov 2025 Paper 3 (Core) · 29 questions
  1. Q1 — Types of Number
  2. Q2 — Geometrical Terms and Nets
  3. Q3 — Fractions, Decimals and Percentages
  4. Q4 — Geometrical Terms and Nets
  5. Q5 — Introduction to Probability
  6. Q6 — Powers and Roots
  7. Q7 — Statistical Charts and Diagrams
  8. Q8 — Time
  9. Q9 — Compound Shapes and Parts of Shapes
  10. Q10 — Averages and Range
  11. Q11 — Percentages
  12. Q12 — Introduction to Algebra
  13. Q13 — Ratio and Proportion
  14. Q14 — The Four Operations
  15. Q15 — Angles
  16. Q16 — Pythagoras’ Theorem
  17. Q17 — Estimation and Rounding
  18. Q18 — Using a Calculator
  19. Q19 — Algebraic Manipulation
  20. Q21 — Transformations
  21. Q22 — Graphs of Functions
  22. Q23(a) — Percentages
  23. Q23(b) — Surface Area and Volume
  24. Q24 — Equations and Formulae
  25. Q25 — Types of Number
  26. Q26 — Equations of Linear Graphs
  27. Q28 — Graphs in Practical Situations
  28. Q29(a) — Similarity
  29. Q29(b) — Right-Angled Trigonometry
0580/41/O/N/25 · 0580_w25_qp_41 · Oct/Nov 2025 Paper 4 (Extended) · 30 questions
  1. Q1 — Symmetry
  2. Q2 — Equations and Formulae
  3. Q3 — Angles
  4. Q4 — Time
  5. Q5(a,b) — Geometrical Constructions
  6. Q5(c) — Scale Drawings and Bearings
  7. Q6 — Algebraic Manipulation
  8. Q7 — Inequalities
  9. Q8 — Using a Calculator
  10. Q9 — Rates and Speed
  11. Q10 — Vectors in Two Dimensions
  12. Q11 — Percentages
  13. Q12 — Sets and Venn Diagrams
  14. Q13 — Right-Angled Trigonometry
  15. Q14 — Surface Area and Volume
  16. Q15 — Circle Theorems
  17. Q16 — Averages and Range
  18. Q17 — Equations of Linear Graphs
  19. Q18 — Graphs in Practical Situations
  20. Q19 — Exponential Growth and Decay
  21. Q20 — Sequences
  22. Q21 — Non-Right-Angled Triangles
  23. Q22 — Exponential Growth and Decay
  24. Q23 — Direct and Inverse Proportion
  25. Q24 — Equations and Formulae
  26. Q25 — Histograms
  27. Q26 — Equations and Formulae
  28. Q27 — Pythagoras and Trigonometry in 3D
  29. Q28 — Functions
  30. Q29 — Non-Right-Angled Triangles
0580/42/O/N/25 · 0580_w25_qp_42 · Oct/Nov 2025 Paper 4 (Extended) · 21 questions
  1. Q1 — Ratio and Proportion
  2. Q2 — Equations and Formulae
  3. Q3 — Symmetry
  4. Q4 — Rates and Speed
  5. Q5 — Money and Exchange Rates
  6. Q6 — Averages and Range
  7. Q7 — Area and Perimeter
  8. Q8 — Transformations
  9. Q9 — Graphs in Practical Situations
  10. Q10 — Sequences
  11. Q11 — Graphs of Functions
  12. Q12 — Circle Theorems
  13. Q13 — Algebraic Fractions
  14. Q14 — Exponential Growth and Decay
  15. Q15 — Non-Right-Angled Triangles
  16. Q16 — Histograms
  17. Q17 — Algebraic Manipulation
  18. Q18 — Vector Geometry
  19. Q19 — Equations and Formulae
  20. Q20 — Limits of Accuracy
  21. Q21 — Direct and Inverse Proportion
0580/43/O/N/25 · 0580_w25_qp_43 · Oct/Nov 2025 Paper 4 (Extended) · 26 questions
  1. Q1 — Sequences
  2. Q2 — Averages and Range
  3. Q3 — Introduction to Algebra
  4. Q4 — Scale Drawings and Bearings
  5. Q5 — Angles
  6. Q6 — Indices
  7. Q7 — Transformations
  8. Q8 — Ordering Numbers
  9. Q9 — The Four Operations
  10. Q10 — Equations and Formulae
  11. Q11 — Standard Form
  12. Q12 — Introduction to Probability
  13. Q13 — Graphs of Functions
  14. Q14 — Equations and Formulae
  15. Q15 — Exponential Growth and Decay
  16. Q16 — Algebraic Manipulation
  17. Q17 — Equations and Formulae
  18. Q18 — Non-Right-Angled Triangles
  19. Q19 — Functions
  20. Q20 — Differentiation
  21. Q21 — Rates and Speed
  22. Q22 — Similarity
  23. Q23 — Histograms
  24. Q24 — Pythagoras and Trigonometry in 3D
  25. Q25 — Limits of Accuracy
  26. Q26 — Vector Geometry
0580/11/M/J/25 · 0580_s25_qp_11 · May/June 2025 Paper 1 (Core) · 26 questions
  1. Q1 — Estimation and Rounding
  2. Q2 — Money and Exchange Rates
  3. Q3 — The Four Operations
  4. Q4 — Types of Number
  5. Q5 — Types of Number
  6. Q6 — The Four Operations
  7. Q7 — Introduction to Algebra
  8. Q8 — Fractions, Decimals and Percentages
  9. Q9 — Sequences
  10. Q10 — Graphs in Practical Situations
  11. Q11 — Surface Area and Volume
  12. Q12 — Equations and Formulae
  13. Q13 — The Four Operations
  14. Q14 — Indices
  15. Q15 — Geometrical Terms and Nets
  16. Q16 — Algebraic Manipulation
  17. Q17 — Estimation and Rounding
  18. Q18 — Angles
  19. Q19 — Probability of Combined Events
  20. Q20 — Scatter Diagrams
  21. Q21 — Circle Theorems
  22. Q22 — Types of Number
  23. Q23 — Transformations
  24. Q24 — Fractions, Decimals and Percentages
  25. Q25 — Standard Form
  26. Q26 — Equations and Formulae
0580/12/M/J/25 · 0580_s25_qp_12 · May/June 2025 Paper 1 (Core) · 25 questions
  1. Q1 — Types of Number
  2. Q2 — Fractions, Decimals and Percentages
  3. Q3 — Powers and Roots
  4. Q4 — Geometrical Terms and Nets
  5. Q5 — Time
  6. Q6 — Fractions, Decimals and Percentages
  7. Q7 — Indices
  8. Q8 — The Four Operations
  9. Q9 — Ordering Numbers
  10. Q10 — Surface Area and Volume
  11. Q11 — Averages and Range
  12. Q12 — The Four Operations
  13. Q13 — Symmetry
  14. Q14 — Graphs of Functions
  15. Q15 — Equations and Formulae
  16. Q16 — Transformations
  17. Q17 — Estimation and Rounding
  18. Q18 — Types of Number
  19. Q19 — Inequalities
  20. Q20 — Sets and Venn Diagrams
  21. Q21 — Fractions, Decimals and Percentages
  22. Q22 — Limits of Accuracy
  23. Q23 — Algebraic Manipulation
  24. Q24 — Equations and Formulae
  25. Q25 — Circles, Arcs and Sectors
0580/13/M/J/25 · 0580_s25_qp_13 · May/June 2025 Paper 1 (Core) · 25 questions
  1. Q1 — Fractions, Decimals and Percentages
  2. Q2 — Geometrical Terms and Nets
  3. Q3 — Powers and Roots
  4. Q4 — Angles
  5. Q5 — Sequences
  6. Q6 — Averages and Range
  7. Q7 — Ratio and Proportion
  8. Q8 — Surface Area and Volume
  9. Q9 — Surface Area and Volume
  10. Q10 — Parallel Lines
  11. Q11 — Statistical Charts and Diagrams
  12. Q12 — Sets and Venn Diagrams
  13. Q13 — Estimation and Rounding
  14. Q14 — Area and Perimeter
  15. Q15 — Inequalities
  16. Q16 — Percentages
  17. Q17 — Indices
  18. Q18 — Circle Theorems
  19. Q19 — Circles, Arcs and Sectors
  20. Q20 — Types of Number
  21. Q21 — Equations and Formulae
  22. Q22 — Equations and Formulae
  23. Q23 — Similarity
  24. Q24 — Fractions, Decimals and Percentages
  25. Q25 — Equations and Formulae
0580/21/M/J/25 · 0580_s25_qp_21 · May/June 2025 Paper 2 (Extended) · 23 questions
  1. Q1 — Algebraic Manipulation
  2. Q2 — Angles
  3. Q3 — Percentages
  4. Q4 — Fractions, Decimals and Percentages
  5. Q5 — Angles
  6. Q6 — Drawing Linear Graphs
  7. Q7 — Fractions, Decimals and Percentages
  8. Q8 — Vectors in Two Dimensions
  9. Q9 — Averages and Range
  10. Q10 — Circle Theorems
  11. Q11 — Graphs of Functions
  12. Q12 — Cumulative Frequency
  13. Q13 — Surface Area and Volume
  14. Q14 — Functions
  15. Q15 — Surds
  16. Q16 — Algebraic Manipulation
  17. Q17 — Probability of Combined Events
  18. Q18 — Algebraic Fractions
  19. Q19 — Indices
  20. Q20 — Exact Trigonometric Values
  21. Q21 — Vector Geometry
  22. Q22 — Differentiation
  23. Q23 — Algebraic Fractions
0580/22/M/J/25 · 0580_s25_qp_22 · May/June 2025 Paper 2 (Extended) · 24 questions
  1. Q1 — Symmetry
  2. Q2 — Scale Drawings and Bearings
  3. Q3 — Angles
  4. Q4 — Relative and Expected Frequencies
  5. Q5 — Transformations
  6. Q6 — Equations and Formulae
  7. Q7 — Sequences
  8. Q8 — Types of Number
  9. Q9 — Vectors in Two Dimensions
  10. Q10 — Circles, Arcs and Sectors
  11. Q11 — Standard Form
  12. Q12 — Circle Theorems
  13. Q13 — Histograms
  14. Q14 — Fractions, Decimals and Percentages
  15. Q15 — Graphs of Functions
  16. Q16 — Surface Area and Volume
  17. Q17 — Indices
  18. Q18 — Surds
  19. Q19 — Algebraic Fractions
  20. Q20 — Direct and Inverse Proportion
  21. Q21 — Differentiation
  22. Q22 — Exact Trigonometric Values
  23. Q23 — Vector Geometry
  24. Q24 — Equations and Formulae

0580 past paper questions — FAQ

How many 0580 past paper questions are on this page?

852 questions from 32 past papers (May/June 2025 to May/June 2026), sorted by topic and subtopic. Last updated 20 October 2026.

Do all the 0580 questions have worked solutions?

Yes. Every question has a step-by-step worked solution, checked against the official Cambridge mark scheme.

How should I revise with past paper questions by topic?

Start with your weakest topic. Attempt the questions without notes, then mark your work using the worked solutions and note where you lost marks. Once a topic feels secure, move on — and finish with full timed papers under exam conditions.

Can I get a tutor for Cambridge IGCSE Maths 0580?

Yes. The Vector Academy runs live online Cambridge IGCSE Maths 0580 classes — 1-on-1 or in small batches — for students in the Gulf, UK, Europe and Asia. You can book a free trial class using the form on this page.

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