0580

Cambridge IGCSE Mathematics (0580) - May-June 2023 Past Papers

Download 26 free IGCSE Mathematics past papers, mark schemes, and examiner reports from the May-June 2023 Cambridge examination session. Includes question papers for all variants with full solutions.

About IGCSE Mathematics (0580)

IGCSE Mathematics covers number, algebra, geometry, statistics, and probability across Core and Extended tiers. Candidates must solve problems using mathematical techniques and show clear working for method marks.

What this exam tests: Key skills include algebraic manipulation, geometric reasoning, statistical analysis, and problem-solving.

Papers available in variants 11, 12, 13 for different time zones. All variants cover the same Mathematics syllabus with equal difficulty.

Grade Thresholds

Study Resources for Mathematics

Prepare for your exam with these complementary resources:

Test your knowledge

0580 May-June 2023 Papers

0580 Paper 1 - Core (Short Answer)

1 hr • 56 marks

Tests broad syllabus knowledge with 40 questions. Each question has four options (A-D). Core tier paper.

Select variant:

QP + MS QP + ER

All variants (different time zones):

QP:

MS:

View syllabus topics tested in Paper 1 (2 topics, 56 marks total)

This 0580 Paper 1 from May-June 2023 tests 2 different syllabus topics. The highest-weighted topic is Sequences (Algebra and graphs) worth 26 marks out of 56 total marks. Other significant topics include Volume (11 marks)

Mark distribution by topic:

Sequences 26/56

Volume 11/56

Understanding which topics carry the most marks helps you prioritize your Mathematics revision. Practice questions from high-mark topics like Sequences to maximize your score.

0580 Paper 2 - Extended (Short Answer)

1 hr 30 min • 70 marks

Extended tier multiple choice with more challenging questions covering the full syllabus. 40 questions, 45 minutes.

Select variant:

QP + MS QP + ER

All variants (different time zones):

QP:

MS:

View syllabus topics tested in Paper 2 (3 topics, 70 marks total)

This 0580 Paper 2 from May-June 2023 tests 3 different syllabus topics. The highest-weighted topic is Equations (Algebra and graphs) worth 18 marks out of 70 total marks. Other significant topics include Angles (13 marks) and Ratio, proportion and rate (9 marks).

Mark distribution by topic:

Equations 18/70

Angles 13/70

Ratio, proportion and rate 9/70

Understanding which topics carry the most marks helps you prioritize your Mathematics revision. Practice questions from high-mark topics like Equations to maximize your score.

0580 Paper 3 - Core (Structured)

2 hr • 104 marks

Structured and free-response questions testing understanding and application. Core tier, grades available C-G.

Select variant:

QP + MS QP + ER

All variants (different time zones):

QP:

MS:

0580 Paper 4 - Extended (Structured)

2 hr 30 min • 130 marks

Extended tier theory paper with more demanding questions. Full grade range A*-G available with this paper.

Select variant:

QP + MS QP + ER

All variants (different time zones):

QP:

MS:

Other Resources

Additional materials to help you prepare and understand how exams are marked.

Examiner Report

Insights from examiners on how students performed. Learn common mistakes to avoid and what examiners look for in top answers.

0580 May-June 2023 - Topics Breakdown by Paper

Each Cambridge IGCSE Mathematics (0580) paper tests specific syllabus topics. Below is a breakdown of topics for each paper in May-June 2023, showing how marks are distributed. Use this to focus your revision on topics relevant to your papers.

0580 Paper 1 (Core (Short Answer))

56 marks total

Sequences (Algebra and graphs)

26m

Volume (Mensuration)

11m

0580 Paper 2 (Extended (Short Answer))

70 marks total

Equations (Algebra and graphs)

18m

Angles (Geometry)

13m

Ratio, proportion and rate (Number)

9m

0580 Paper 4 (Extended (Structured))

130 marks total

Surface area (Mensuration)

8m

Study tip: If you're taking the Extended tier, focus on Papers 2, 4, and 6. For Core tier, prepare for Papers 1, 3, and 5/6. Review the topics above for your specific papers and practice past questions from those syllabus areas.

Examiner Insights - May-June 2023

Key feedback from Cambridge examiners on how students performed

Key Takeaways

• Read each question carefully, paying close attention to the instructions and keywords.
• Show all working steps clearly to allow for method marks and for self-checking.
• Remember necessary formulas and use them correctly.
• Pay attention to units and perform necessary conversions.
• Practice sketching graphs of common functions like cosine and parabolas.

Paper 11 - Paper 11 (Core)

The paper assessed standard processes which were generally well understood. Problem-solving questions proved more challenging. Showing clear working is crucial for both self-checking and for earning method marks.

Study Tips:

✓ Read each question carefully, paying attention to instructions and keywords.
✓ Show all working, especially for multi-step calculations and problem-solving questions.
✓ Learn geometric reasons along with suitable diagrams.

Common Mistakes:

Q1 (Time Conversion)

✗ Giving the answer as 72 or 120 months instead of years.

→ Read the question carefully to ensure the answer is in the requested units.

Q2 (Rounding)

✗ Truncating or rounding to the nearest 100 instead of the nearest 10.

→ Pay close attention to the degree of accuracy requested.

Q3 (Problem Solving)

✗ Providing a non-integer answer for the number of magazines.

→ Ensure the answer makes sense in the context of the problem.

Q4 (Geometry)

✗ Naming other quadrilaterals, 3D shapes, or polygons instead of the specific shape matching the criteria.

→ Sketch out shapes to check for symmetry and other properties before answering.

Paper 12 - Paper 12 (Core)

Many candidates demonstrated a strong understanding of the syllabus. Presentation and working shown was generally good, however showing formulas and substitutions should be encouraged. Reading completed questions is crucial to ensure correct solutions are provided.

Study Tips:

✓ Remember necessary formulas and show all working clearly.
✓ Use a suitable level of accuracy; round non-exact answers to 3 significant figures and write down all digits for exact answers.
✓ Read questions once completed to ensure the solutions given are in the required format and answer the question set.

Common Mistakes:

Q1 (Factors)

✗ Omitting 1 or 18, giving prime factors or a product of prime factors, or listing factor pairs without consolidating into a list.

→ List all factors including 1 and the number itself.

Q2 (Perpendicular Lines)

✗ Drawing a parallel line instead of a perpendicular line.

→ Understand the difference between parallel and perpendicular lines.

Q4 (Fractions)

✗ Rounding or truncating the answer to 3 significant figures without showing working.

→ Write the answer exactly, either as a decimal or fraction.

Q5 (Geometry)

✗ Giving values for angles that added to 90°.

→ Check the appropriateness of your answer using the sketch to support this judgement.

Paper 13 - Paper 13 (Core)

While many candidates attempted the questions, a significant number didn't read them carefully, especially regarding decimal vs. fractional answers. Showing clear working and using rulers for diagrams are essential.

Study Tips:

✓ Read the questions carefully.
✓ Show working for each question
✓ Use a ruler for diagrams

Common Mistakes:

Q5 (Lines of Symmetry)

✗ Drawing 4 lines of symmetry on a square (diagonals and vertical/horizontal lines).

→ Understand the precise definition of a line of symmetry.

Q6 (Fractions and Decimals)

✗ Not writing the answer as a decimal when the question specifically asks for it.

→ Read questions carefully, ensuring you provide the answer in the required form.

Q7 (Stem-and-Leaf Diagram)

✗ Being unable to link the stem and the leaf correctly, resulting in single digit answers when extracting data from the stem-and-leaf diagram.

→ Pay close attention to how the data are organized in the stem and leaf diagram.

Q8 (Surface Area)

✗ Calculating the volume of the cuboid or only calculating the area of some faces without doubling.

→ Understand the difference between surface area and volume. Carefully consider all faces of the shape.

Paper 21 - Paper 21 (Extended)

The examination allowed candidates to demonstrate skills with many scoring highly. Some candidates omitted questions or parts of questions due to a lack of knowledge. It is important that candidates read the instructions in each question.

Study Tips:

✓ Read all questions carefully.
✓ Complete full syllabus coverage
✓ Show all working.

Common Mistakes:

Q3 (Geometry)

✗ Providing inaccurate reasoning. Candidates need to be mindful of the instructions and the specific vocabulary

→ Use correct mathematical vocabulary and clearly state the geometrical reason.

Q4 (Significant Figures)

✗ Not rounding each number in the calculation to 1 significant figure as instructed.

→ Always follow the instructions. Round each number to 1 significant figure and then compute, or you cannot gain any marks.

Q7 (Map Scales)

✗ Failing to convert centimetres to kilometres.

→ Address the conversion between centimetres and kilometres. Tackle this part in two stages, first changing to metres.

Q11 (Transformations)

✗ Failing to use a single transformation and correct vocabulary

→ Correct vocabulary is required, rather than a description such as ‘it doubles in size’.

Insights extracted from the official Cambridge Examiner Report for 0580 May-June 2023. View full report →

About Cambridge IGCSE Mathematics (0580)

Cambridge IGCSE Mathematics (0580) is one of the most popular qualifications taken by students worldwide. The May-June 2023 examination session included 4 paper components, each testing different skills and knowledge areas.

This page contains all 0580 past papers from May-June 2023, including question papers (QP), mark schemes (MS), and examiner reports (ER). Use these resources to practice under timed conditions and understand how examiners award marks.

View all 0580 past papers → | All 2023 sessions →

Get Mathematics Study Tips

Join students preparing for 0580. Get weekly study tips, new past papers alerts, and exam reminders.

0580 Study Tips & FAQ

What are paper variants?

Cambridge releases multiple variants of each paper (e.g., Paper 11, 12, 13) to accommodate different time zones around the world and maintain exam security.

Variant 1 (e.g., 11, 21): Usually for Zone 1 (Americas)
Variant 2 (e.g., 12, 22): Usually for Zone 2 (Europe, Africa)
Variant 3 (e.g., 13, 23): Usually for Zone 3 (Asia, Oceania)

All variants cover the same syllabus and have similar difficulty. Practice with any variant to prepare effectively for your exam.

How to use Mark Schemes effectively

Mark schemes show exactly how examiners award marks for each question. Understanding them helps you write answers that earn full marks.

Example from a Physics mark scheme:

Q: Calculate the speed of a car that travels 150m in 5 seconds. [2]

Mark scheme answer:

• speed = distance / time [1 mark for formula]

• speed = 150 / 5 = 30 m/s [1 mark for correct answer with unit]

Tips:

Look for key words that must appear in your answer
Note how many points are needed for each mark
Check if units are required for the final mark
Understand the difference between "state" (brief) and "explain" (detailed)

Understanding Grade Thresholds

Grade thresholds show the minimum marks needed for each grade. They vary each session based on paper difficulty — harder papers have lower thresholds.

Example Grade Thresholds (out of 100 total):

A*

90+

A

80-89

B

70-79

C

60-69

* Actual thresholds vary by subject and session

How to use thresholds:

Set realistic target marks based on your goal grade
Track your practice paper scores against thresholds
Remember: you don't need 100% for an A* — aim for consistency
Compare thresholds across sessions to gauge difficulty trends

How is the topic breakdown calculated?

The "Topics Breakdown by Paper" section above shows which syllabus topics are tested in each paper and how many marks they carry. Here's how we calculate this:

Our methodology:

Extract questions: We analyze each question paper (QP) and identify individual questions and their mark allocations (shown in square brackets, e.g., [3]).
Match to syllabus: Each question is matched to the official Cambridge 0580 syllabus topics based on keywords, concepts, and question content.
Sum marks per topic: For each paper, we add up the marks for all questions testing the same topic. For example, if Q1 (4 marks) and Q5b (3 marks) both test "Enzymes", that topic shows as "7 marks" for that paper.

Example: If Paper 3 shows "Photosynthesis - 13 marks", it means questions worth a total of 13 marks (out of the paper's 104 marks) tested the Photosynthesis topic from the Plant Nutrition unit of the syllabus.

How to use this: Look at the paper(s) you'll be taking (e.g., Papers 2, 4, 6 for Extended tier). The topics with the highest marks in YOUR papers are where you should focus your revision. A topic worth 15 marks deserves more study time than one worth 3 marks.

Note: Our topic matching may be inaccurate for questions that span multiple topics. Use this as a guide alongside the official syllabus.

How to Use IGCSE Mathematics Past Papers

📝 Timed Practice

Complete papers under exam conditions. 0580 Paper 4 is 2 hr 30 min - practice finishing within this time to build exam stamina.

✅ Self-Marking

Use the mark scheme to score your answers. Look for marking points you missed and understand what examiners expect in Mathematics responses.

📊 Examiner Reports

Read the 0580 examiner report to see common mistakes. Focus revision on topics where candidates typically lose marks.

🎯 Grade Targets

Check grade thresholds to see how many marks you need for your target grade. An A* in IGCSE Mathematics typically requires 85-90%.

Frequently Asked Questions

Where can I download IGCSE Mathematics May-June 2023 past papers?

You can download all IGCSE Mathematics (0580) May-June 2023 past papers directly from this page. We provide 26 files including question papers, mark schemes, and examiner reports for all variants (11, 12, 13). Click "View" to open in browser or "Download" to save the PDF.

Are 0580 mark schemes included?

Yes, mark schemes for all 0580 May-June 2023 papers are included. Each question paper has a corresponding mark scheme showing expected answers and mark allocation.

What papers are available for IGCSE Mathematics 0580?

IGCSE Mathematics (0580) has 4 papers: Paper 1 (Core (Short Answer)), Paper 2 (Extended (Short Answer)), Paper 3 (Core (Structured)), Paper 4 (Extended (Structured)). Core tier students take Papers 1, 3, 5/6. Extended tier students take Papers 2, 4, 5/6.

What is the difference between paper variants 11, 12, and 13?

The three variants (11, 12, 13) are different versions of the same paper used in different time zones to prevent cheating. All variants test the same syllabus content at the same difficulty level. You can practice with any variant as they are equally valid for revision.

How can I practice these past papers effectively?

Use our free Exam Hub to practice past papers like real exams. It lets you view question papers and mark schemes side-by-side, so you can self-mark your answers. No sign-up required, works with any PDF, and your files stay completely private.

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