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How to Practise IGCSE Maths 0580 Past Papers by Topic (Paper 2 and Paper 4)

PapaMarks Team · November 10, 2026 · 10 min read
#IGCSE #Maths #0580 #Paper 4 #Topical questions #Past papers #Cambridge

The best way to practise IGCSE Maths 0580 Paper 4 by topic is to work through real past-paper questions one syllabus topic at a time, mark every part against the official mark scheme straight away, and log each lost mark by its cause. Switch to full timed papers only once each topic scores reliably.

Short version
  • Paper 4 (Extended, calculator) is 2 hours, 100 marks and 50% of the grade on the 2025 to 2027 syllabus. Paper 2 (Extended, no calculator) carries the other 50%.
  • Drill one topic at a time from real questions, newest papers first, and mark each part the moment you finish it.
  • Sort lost marks into four causes: method, accuracy, reading the question, and time. Fix the biggest cause first.
  • Questions from papers before 2025 are still good topic practice, but the old Paper 2 allowed a calculator, so check how a question was set before you count it as non-calculator practice.

What Paper 4 looks like now

Cambridge changed the 0580 papers for first examination in 2025. Each tier now sits one non-calculator paper and one calculator paper, and the two carry equal weight. The figures below come from the Cambridge IGCSE Mathematics 0580 syllabus for 2025, 2026 and 2027.

PaperTierCalculatorTimeMarksWeighting
Paper 1CoreNot allowed1 hour 30 minutes8050%
Paper 2ExtendedNot allowed2 hours10050%
Paper 3CoreRequired1 hour 30 minutes8050%
Paper 4ExtendedRequired2 hours10050%

Extended candidates (Papers 2 and 4) can be awarded grades A* to E. Core candidates (Papers 1 and 3) can be awarded C to G. On the older syllabus, for example the 2020 to 2022 version, Paper 4 was 2 hours 30 minutes for 130 marks and worth 65%, and every paper allowed a calculator. That older Paper 4 is still a large store of good topic questions; just expect longer questions than the current paper sets.

Two rules from the syllabus decide a surprising number of accuracy marks. Non-exact answers go to 3 significant figures, or 1 decimal place for angles in degrees, unless the question says otherwise. Cambridge also tells candidates to avoid rounding until the final answer and to use the unrounded value in later parts. Most students know both rules and still lose marks to them under time pressure, which is why they belong in topic practice and not only in mock exams.

Why topic practice beats starting with full papers

A full Paper 4 mixes nine topic areas in one sitting: number, algebra and graphs, coordinate geometry, geometry, mensuration, trigonometry, transformations and vectors, probability, and statistics. When you score 61 out of 100 on a full paper, the score does not tell you which topic cost you the missing 39 marks. Ten questions on circle theorems in a row will tell you exactly that.

Topic practice also gives you repetition on the question styles Cambridge reuses. Questions on bounds, similar volumes or cumulative frequency tend to follow recognisable patterns across years, and you only see those patterns when the questions sit side by side. Full papers still matter for timing and stamina, so they come at the end of the method, after the topics are secure.

The method, step by step

  1. List the nine topics and rank them honestly
    Score each topic from your last mock or test. Start with the one costing you the most marks, not the one you enjoy. Our most-tested 0580 topics report shows which areas Cambridge asks about most often, which helps when two topics look equally weak.
  2. Do 10 to 15 real questions from one topic
    Use real past-paper questions sorted by topic, newest papers first, so the style matches the current exam. Write full working on paper even when you could do it in your head; method marks depend on it.
  3. Mark each part before moving on
    Check your answer against the official mark scheme line for that part, not a friend's answer or a video. Award M, A and B marks exactly as written. Our guide on how to self-mark IGCSE past papers covers the rules that trip students up, such as "dep" and follow-through.
  4. Log every lost mark by cause
    Use four columns: method (didn't know how), accuracy (rounded early, sign slip, wrong units), reading (answered a different question), and time. After two or three sessions one column usually dominates. That column is your real topic.
  5. Redo the questions you dropped, two days later
    Redo them without looking at the solution. If you get full marks on the redo, move on. If not, read the worked solution line by line and find the first line where yours differs.
  6. Mix topics, then go to full timed papers
    Once each topic scores 80% or more on its own, do mixed sets and then full Paper 4s in 2 hours. That is 1.2 minutes per mark. Our Paper 4 techniques guide covers the exam-day habits that protect marks at that stage.
Past papers Practise this on the real papers Every Cambridge and Edexcel paper with its mark scheme, by subject, year and session — or answer one inside PapaMarks and have it marked against the official answer. Browse the past papers →
Watch the calculator rule on older questions. Before 2025, Paper 2 allowed a calculator. If you are practising for the new non-calculator Paper 2, an old Paper 2 question may expect arithmetic you would now do by hand. Treat it as harder practice, or use it for the calculator paper instead.

Where to get 0580 questions sorted by topic

You can build topic sets yourself by cutting up past papers from the 0580 past papers library, where 487 of the 502 papers have their mark scheme and both are free to read. That works, but cutting and filing takes hours that could go into practice. Free topic-sorted PDFs exist on several sites, and we compare them in where to find IGCSE past paper questions sorted by topic.

PapaMarks also has a Topical Questions section for 0580 built for this method. Each question is a crop of the printed paper, filed under its syllabus topic and subtopic, with the official mark scheme crop attached to every part. You type your answer and it is checked straight away. A worked solution shows the running mark total line by line, so you can see which line earned which mark.

PapaMarks holds 7,590 real Cambridge 0580 past-paper questions sorted by syllabus topic, taken from 473 papers between 2004 and 2026.

Breakdown
By paper: 2,624 from Paper 1, 2,566 from Paper 2, 1,195 from Paper 3 and 1,205 from Paper 4. By tier: 3,819 Core and 3,771 Extended. Largest topics: Number (2,422) and Algebra & Sequences (1,572).
Method
Counted from the production database on 10 November 2026, published questions only.
Limits
Questions whose mark scheme contains a misprint, or whose crop did not extract cleanly, are held back and not counted. Topical Questions currently covers 0580 only.
Access
A free account opens the first two topics (Number, and Algebra & Sequences). A paid plan opens all nine; see pricing.

Inside a topic you can filter by subtopic, paper number and year, show only questions you haven't finished, and sort by marks so you can start with short questions and build up to the 6-mark ones.

How the options compare

ApproachCostMarkingBest for
Cut up full past papers yourselfFreeYou mark against the PDF mark schemeStudents with time and discipline
Free topic PDFs from other sitesFreeYou mark against a compiled mark schemePrinting a worksheet for one topic
PapaMarks Topical QuestionsFirst two topics free; all nine on a paid planTyped answers checked instantly, with the official scheme crop and a worked solution per partDaily practice with instant feedback
Full timed papersFreeYou mark the whole paperThe final four to six weeks

Some parts can't be checked automatically, such as drawing a graph or a construction. For those PapaMarks shows the worked answer and the scheme, and you award your own mark, which is the same job you would do with a PDF.

A four-week topic plan for Paper 4

For a student sitting the Extended tier who has around 45 minutes a day:

  • Week 1: your two weakest topics, 12 questions each, marked and logged.
  • Week 2: the next three topics, plus a redo of every question you dropped in week 1.
  • Week 3: the remaining four topics, then one mixed set of 20 questions.
  • Week 4: two full Paper 4s and one full Paper 2 under timed conditions, each followed by a topic session on whatever cost the most marks.

If your exam is the November series, check the dates in our November 2026 timetable and count back from your Paper 4 date. The full content list sits in our 0580 syllabus map, and the A* view is in how to get an A* in IGCSE Maths 0580.

FAQ

What is the best way to practise IGCSE Maths 0580 Paper 4 by topic?
Work through 10 to 15 real past-paper questions from one syllabus topic at a time, newest papers first. Mark each part against the official mark scheme straight away, log every lost mark by cause, and redo dropped questions two days later. Move to full timed papers once each topic scores about 80%.
How long is IGCSE Maths 0580 Paper 4 and how many marks is it?
On the 2025 to 2027 syllabus, Paper 4 is the Extended calculator paper: 2 hours, 100 marks and 50% of the qualification. Paper 2, the Extended non-calculator paper, is also 2 hours and 100 marks. Before 2025, Paper 4 was 2 hours 30 minutes for 130 marks.
Are 0580 past papers from before 2025 still useful?
Yes, for topic practice. Most question styles carry over, though some content was removed in 2025, such as linear programming and proper subsets on the Extended tier. Old Paper 2 also allowed a calculator, so old Paper 2 questions are not reliable non-calculator practice.
Where can I find 0580 past paper questions sorted by topic?
Several sites publish free topic-sorted PDFs. PapaMarks Topical Questions has 7,590 real 0580 questions from 2004 to 2026 sorted by topic and subtopic, each part checked instantly with its official mark scheme crop. The first two topics are free with an account.
How accurate should my answers be in 0580?
Give non-exact answers to 3 significant figures, or 1 decimal place for angles in degrees, unless the question asks for something else. Keep full calculator values through the working and round only at the end. Use the unrounded value if a later part needs it.
How many 0580 past papers should I do?
Early on, count topic questions marked properly rather than papers finished. Full timed papers belong in the last four to six weeks, once each topic is secure on its own. Our guide to how many past papers to do covers the numbers in more detail.

Sources

  • Cambridge International, Cambridge IGCSE Mathematics 0580 syllabus for 2025, 2026 and 2027, version 3 (May 2024): assessment overview, accuracy rules and changes to the syllabus. cambridgeinternational.org
  • Cambridge International, Cambridge IGCSE Mathematics 0580 syllabus for 2020, 2021 and 2022: the previous paper structure.
  • Cambridge IGCSE 0580/42 mark scheme, May/June 2025: mark types and abbreviations.
  • PapaMarks production database, read 10 November 2026: Topical Questions counts.

Put this into practice on real papers

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