Free IGCSE Maths Past Papers with Worked Solutions (2026)

Looking for free IGCSE Maths past papers with fully worked solutions? You’re in the right place. We’ve compiled Cambridge IGCSE Mathematics (0580), Edexcel International GCSE (4MA1), and Cambridge International Maths (0607) past papers — complete with mark schemes, examiner tips, and step-by-step solutions — so you can practise smarter and score higher in 2026.

Whether you need topic-by-topic practice or full timed papers, this guide gives you everything to maximise your exam performance.

For a broader overview covering all IGCSE subjects, see our comprehensive IGCSE past papers guide.

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Understanding the IGCSE Maths Exam Structure

Before diving into past paper practice, it’s essential to understand what you’re preparing for. The exam structure varies depending on whether you’re sitting the Core or Extended tier.

Cambridge IGCSE Mathematics (0580)

From 2025, Cambridge introduced dedicated non-calculator and calculator papers at both tiers. Each paper now carries equal weighting (50%).

Core Curriculum (Grades C–G):

• Paper 1 — Non-calculator (1 hour 30 minutes, 80 marks, 50%)
• Paper 3 — Calculator (1 hour 30 minutes, 80 marks, 50%)

Extended Curriculum (Grades A–E):*

• Paper 2 — Non-calculator (2 hours, 100 marks, 50%)
• Paper 4 — Calculator (2 hours, 100 marks, 50%)

Both papers at each tier contain a mix of structured and unstructured questions.

Edexcel International GCSE Mathematics (4MA1)

• Paper 1 — 2 hours (100 marks)
• Paper 2 — 2 hours (100 marks)

Both papers cover the full syllabus, and each paper contains a mix of shorter and longer questions arranged roughly in order of difficulty.

Cambridge IGCSE International Mathematics (0607)

• Paper 1 — Short questions without calculator (45 minutes, 40 marks)
• Paper 2 — Extended response without calculator (45 minutes, 48 marks)
• Paper 3 — Short questions with calculator (1 hour 45 minutes, 64 marks)
• Paper 4 — Extended response with calculator (2 hours 15 minutes, 120 marks)
• Paper 5 — Investigation (1 hour 10 minutes, 36 marks)
• Paper 6 — Modelling (1 hour 10 minutes, 36 marks)

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IGCSE Maths Topic Breakdown

The Cambridge IGCSE Mathematics syllabus (0580) covers the following major topic areas. Understanding these helps you target your past paper practice:

1. Number

• Integers, fractions, decimals, and percentages
• Ordering, standard form, and significant figures
• Ratio, proportion, and rates
• Estimation and bounds (limits of accuracy)
• Indices and surds (Extended only)

2. Algebra

• Expressions, equations, and formulae
• Sequences and patterns
• Linear and simultaneous equations
• Quadratic equations (Extended only)
• Inequalities and linear programming
• Functions and graphs (Extended only)
• Differentiation (Extended only)

3. Coordinate Geometry

• Gradient, distance, and midpoint
• Equation of a straight line
• Parallel and perpendicular lines

4. Geometry

• Angles, polygons, and circle theorems
• Symmetry and similarity
• Congruence and constructions
• Pythagoras’ theorem and trigonometry
• 3D trigonometry (Extended only)
• Vectors (Extended only)

5. Mensuration

• Perimeter, area, and volume
• Surface area of 3D shapes
• Arc length and sector area

6. Statistics and Probability

• Data collection and representation
• Mean, median, mode, and range
• Cumulative frequency and histograms
• Probability (single and combined events)
• Tree diagrams and Venn diagrams

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Where to Find IGCSE Maths Past Papers

Official Sources

1. Cambridge School Support Hub — Your school can access the full archive of past papers, mark schemes, and examiner reports through the official Cambridge portal.
2. Pearson Edexcel Qualifications — Edexcel past papers are available on the Pearson website for teachers and students.

Tutopiya’s AI-Powered Resources

At Tutopiya’s Learning Portal, you can access IGCSE Maths past papers alongside AI-powered practice questions, detailed solutions, and topic-wise revision materials — all for just SGD 8/month. It’s the most affordable way to get comprehensive exam preparation resources.

Other Trusted Sources

• PapaCambridge — Free archive of Cambridge past papers
• Save My Exams — Past papers organised by topic with model answers
• Physics & Maths Tutor — Comprehensive past paper collection

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How to Use IGCSE Maths Past Papers Effectively

Simply doing past papers isn’t enough — how you use them matters enormously. Here’s a structured approach:

Phase 1: Topic-by-Topic Practice (8–12 Weeks Before Exam)

When you’re still revising content, use past papers on a topic-by-topic basis:

1. Revise a topic (e.g., simultaneous equations) using your textbook or revision notes
2. Attempt past paper questions on that specific topic
3. Mark your work using the official mark scheme
4. Identify errors — Were they conceptual mistakes or careless errors?
5. Re-do incorrect questions after reviewing the method

This approach lets you consolidate each topic before moving on.

Phase 2: Full Paper Practice (4–6 Weeks Before Exam)

Once you’ve covered the syllabus, switch to full paper practice under timed conditions:

1. Set a timer for the exact exam duration
2. Work in exam conditions — no notes, no phone, proper desk
3. Complete the entire paper without stopping
4. Mark immediately using the mark scheme
5. Calculate your raw mark and compare to grade boundaries
6. Record your errors in an error log

Phase 3: Targeted Revision (Final 2 Weeks)

Use your error log to identify patterns:

• Which topics keep costing you marks?
• Are you losing marks on “show that” questions?
• Do you run out of time on Paper 4?

Focus your final revision on these specific weaknesses.

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Common Mistakes Students Make in IGCSE Maths

After analysing thousands of examiner reports and student papers, here are the most frequent errors:

1. Not Showing Working

This is the number one mistake. In IGCSE Maths, method marks are often worth more than the final answer. If you write only the answer and it’s wrong, you get zero. If you show your working and make a small arithmetic error, you can still earn 3 out of 4 marks.

Rule: Always show every step, even if the question seems easy.

2. Misreading “Show That” Questions

When a question says “show that x = 5,” the answer is already given to you. Your job is to prove it using a logical mathematical argument. Many students simply substitute x = 5 and confirm it works — this earns zero marks.

What examiners want: A step-by-step derivation that arrives at x = 5.

3. Rounding Errors

Many students round intermediate calculations, which leads to an inaccurate final answer. Unless told otherwise, keep at least 4 significant figures during working and round only at the end.

4. Forgetting Units

Mensuration questions (area, volume) almost always require correct units. Forgetting to write cm², m³, etc. costs easy marks.

5. Not Reading the Question Carefully

Questions that say “Give your answer correct to 3 significant figures” or “Give exact answers” are giving you specific instructions. Ignoring them costs marks every time.

6. Poor Graph Skills

In Paper 2/4, graph questions require:

• Accurate plotting (within half a small square)
• Smooth curves (not jagged lines connecting dots)
• Correct scales and labels

7. Weak Algebra Skills

The biggest differentiator between A/A* and B/C students is algebraic fluency. Common algebra errors include:

• Incorrectly expanding brackets: (x + 3)² ≠ x² + 9
• Sign errors when solving equations
• Factorisation mistakes with negative terms

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Subject-Specific Study Tips for IGCSE Maths

Tip 1: Master the Calculator

For Paper 3 (Core) and Paper 4 (Extended) — the calculator papers — know your calculator inside out:

• How to use the fraction button
• How to store values in memory
• How to use trigonometric functions
• How to handle standard form calculations
• How to check answers using CALC mode

Tip 2: Learn Command Words

IGCSE Maths uses specific command words:

• Calculate — Work out numerically, showing method
• Show that — Prove using mathematical reasoning
• Estimate — Round to 1 significant figure, then calculate
• Sketch — Draw a rough but accurate shape/graph
• Explain — Give a mathematical reason in words

Tip 3: Use the Formula Sheet Wisely

You’re given a formula sheet in the exam. Don’t waste time memorising formulas that are provided. Instead, practise using the formulas quickly and accurately.

Tip 4: Time Allocation Strategy

Paper 2 (Extended, non-calculator): 2 hours, 100 marks = ~1.2 minutes per mark

• First half: ~60 minutes
• Second half: ~60 minutes
• Review: ~5–10 minutes

Paper 4 (Extended, calculator): 2 hours, 100 marks = ~1.2 minutes per mark

• Section A (shorter questions): ~60 minutes
• Section B (longer questions): ~55 minutes
• Review: ~5 minutes

Tip 5: Build a Formula and Method Bank

Create a personal reference sheet with:

• Key formulas not on the formula sheet (e.g., quadratic formula, sine/cosine rules)
• Step-by-step methods for common question types
• Common conversions and relationships

Tip 6: Practice Mental Arithmetic

For Paper 1 (Core) and Paper 2 (Extended) — the non-calculator papers — strong mental maths saves enormous time. Practise:

• Times tables up to 15 × 15
• Fraction-decimal-percentage conversions
• Square numbers and cube numbers
• Estimation techniques

Tip 7: Learn from Examiner Reports

Cambridge publishes examiner reports for each exam session. These reveal:

• Which questions students found most difficult
• Common misconceptions examiners identified
• What constitutes a “good answer” versus a “poor answer”

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Recommended Past Paper Practice Schedule

Here’s a week-by-week plan for the final 6 weeks before your exam:

Week	Focus	Past Papers
6	Number & Algebra topics	2–3 topic papers
5	Geometry & Trigonometry topics	2–3 topic papers
4	Statistics & Probability topics	2–3 topic papers
3	Full Paper 2 practice (timed)	2 full papers
2	Full Paper 4 practice (timed)	2 full papers
1	Weak topics + 1 final full paper	Mixed revision

Total: approximately 12–15 past papers over 6 weeks.

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How Past Papers Connect to Grade Boundaries

Understanding grade boundaries helps you set realistic targets:

Grade	Typical % Range (Extended)
A*	85–95%
A	75–85%
B	60–75%
C	45–60%

Grade boundaries vary each session, but these ranges give you a rough guide. When you practise past papers, track your percentage scores and see where you fall.

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Why Tutopiya Is the Best Partner for IGCSE Maths Preparation

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AI-Powered Learning Portal

Access the world’s largest AI-powered resource bank for IGCSE, with:

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• Topic-wise practice questions
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Related Resources

Looking for past paper guides for other IGCSE subjects? Check out:

• IGCSE Past Papers: The Ultimate Guide — Our comprehensive hub covering all subjects
• IGCSE Physics Past Papers Guide — Subject-specific tips for Physics
• IGCSE Chemistry Past Papers Guide — Subject-specific tips for Chemistry

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Frequently Asked Questions

How many IGCSE Maths past papers should I do?

Aim for at least 8–10 full papers before your exam. This gives you enough exposure to different question types and builds strong time management skills.

Should I do papers in order or randomly?

Start with the most recent papers (they’re closest to the current syllabus) and work backwards. Save 2–3 of the most recent ones for final practice under strict exam conditions.

What if I can’t finish the paper in time?

This is common initially. Track which sections take longest and practise those specific question types. With each paper, your speed will improve. Aim to finish 5–10 minutes early for checking.

Are specimen papers useful?

Yes! Specimen papers show you the exact format of any new syllabus changes. They’re especially important if there have been recent syllabus updates.

How do I use mark schemes effectively?

Don’t just check if your answer is right — study how marks are allocated. Notice whether marks are for method (M), accuracy (A), or both. This teaches you what to write to maximise marks even when you’re unsure of the final answer.

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Final Thoughts

IGCSE Maths is a subject where consistent practice truly pays off. Past papers are your most powerful tool — they reveal exactly what examiners expect and help you build the speed, accuracy, and confidence needed for exam day.

Start with topic-by-topic practice, progress to full papers under timed conditions, and use your error log to guide final revision. Combined with expert tutoring from Tutopiya, you have everything you need to achieve your target grade.

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