Free IGCSE Maths Solver
Paste any Cambridge IGCSE Maths question — 0580 Core, 0580 Extended, or 0607 International Maths — and get the full step-by-step solution. Built for Year 10 and Year 11 international school students.
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A worked 0580 Extended quadratic — CIE mark-scheme style
Below is one fully worked example plus a short primer so you can see exactly how our AI reasons through a problem.
Example Problem
DEMO- 1
Identify a, b, c
Standard form ax² + bx + c = 0. Writing a, b, c explicitly is a mark-scheme requirement.
- 2
Write the quadratic formula (method mark)
Stating the formula — even before substituting — earns a method mark on CIE papers.
- 3
Compute the discriminant
Discriminant is positive, so two distinct real roots.
- 4
Substitute into the formula
- 5
Compute the two roots
CIE mark scheme: both roots required, both correctly rounded to 2 decimal places as instructed.
Final Answer
IGCSE Maths — 0580 vs 0607, Core vs Extended
Cambridge IGCSE Maths (Cambridge International General Certificate of Secondary Education) is the world's most widely taken international Year-11 maths qualification, sat in 160+ countries by international-school students. There are TWO separate syllabuses worth knowing: 0580 Mathematics (the traditional maths qualification, with Core and Extended tiers) and 0607 Cambridge International Mathematics (a newer syllabus designed for students who will go on to take calculus — more sophisticated, includes graphing-calculator-based questions). Schools choose one or the other.
0580 structure: Core tier grades C-G (aimed at weaker students), Extended tier grades A*-E (stronger students, required for anyone planning A-Level Maths). Both tiers sit TWO papers — Paper 1 (short answer, 45%) and Paper 2 (structured longer questions, 55% for Extended; Core uses similar split). No formula sheet is given — you must memorise standard formulas.
0607 structure: Core and Extended tiers, three papers each. Paper 3 (Core) or Paper 4 (Extended) is the graphical-calculator paper — you MUST have a graphing calculator (Casio fx-CG50 is the standard), and many questions explicitly require graph use. Content extends into differentiation (Extended only) as preparation for A-Level Maths and IB.
0580 syllabus covers: number (fractions, decimals, standard form, indices, surds for Extended), algebra and graphs (linear, quadratic, simultaneous, functions for Extended), geometry and measurement (angles, Pythagoras, trig, similarity, bearings), statistics and probability (histograms, cumulative frequency, tree diagrams), vectors and transformations.
0607 adds: more formal function notation, inverse and composite functions, differentiation of polynomials, and set notation used more extensively. Both syllabuses expect CLEAR WORKING — CIE marks' famous 'M' (method) and 'A' (accuracy) marks reward students who write out each step rather than jumping to the final answer.
The solver above detects whether your question is 0580 or 0607 style and applies the appropriate method. For Extended-tier Core-syllabus questions, the solver goes to the depth Extended students need; for Core questions, it keeps working accessible to C-grade students. Past paper questions from either syllabus (May/June and October/November sittings) are handled identically.
IGCSE Maths questions to practise (0580 + 0607)
Tap any problem to solve it with full step-by-step working.
- Solve with AI →1.AlgebraIGCSE Year 10Easy
- Solve with AI →2.IndicesIGCSE Year 11Medium
- Solve with AI →3.BearingsIGCSE Year 10Medium
- Solve with AI →4.Differentiation (0607 only)IGCSE Year 11Medium
- Solve with AI →5.Set theoryIGCSE Year 11Medium
Frequently asked questions
Does the solver cover both 0580 and 0607?+
Yes — both Cambridge International Mathematics syllabuses. The solver detects which one your question is from (0607 uses more formal function notation, includes differentiation; 0580 is more traditional) and applies the right approach.
What's the difference between 0580 Core and Extended?+
0580 Core targets grades C-G and is a shorter syllabus (fewer topics, no surds, no functions, simpler algebra). 0580 Extended targets A*-E and is the pathway to A-Level — it's what most academically strong IGCSE students take. The same solver handles both.
Can I use this for the October/November or May/June sittings?+
Yes — paste questions from any CIE past paper (both sittings, any year). The solver's method applies to the syllabus content, not specific papers.
Is the working in CIE mark-scheme format?+
Yes. Method (M) marks are awarded for correct setup, accuracy (A) marks for correct computation — the solver structures output so each step earns its mark. Students who mimic this structure on their own work gain marks versus those who skip to the answer.
How is IGCSE Maths different from GCSE Maths?+
Content overlaps ~80%, but IGCSE (Cambridge International) is slightly broader in some areas (set theory notation, more transformations) and narrower in others (no stem-and-leaf diagrams, less emphasis on standard form). IGCSE grading used to be graded A*-G (now 9-1 for CIE International); both are accepted for UK university entry.
Does it help with the 0607 graphical-calculator paper?+
Yes — while the solver doesn't use a graphical calculator itself, it shows the analytical working AND flags when a calculator graph would help (e.g. 'sketch y = x³ − 3x + 1 to find approximate roots, then refine algebraically').
Is it free for IGCSE students?+
Yes. One guest solve per day without signup; a free account gives 5 daily solves plus past-paper quizzes, formula flashcards and a study planner. Step-by-step working is never paywalled.
What about other international syllabuses like Edexcel IGCSE or IB?+
The solver works on Edexcel IGCSE questions too (the content overlap with 0580 is near-total, just different numbering). IB Maths (SL/HL/AA/AI) has a dedicated solver planned — for now, paste your IB questions and the solver handles most accurately, especially for SL.
Crack IGCSE A*s — sign up on the free plan
Free account in 10 seconds: 5 daily solves with mark-scheme-style working, past-paper quizzes, formula flashcards and a term-by-term planner. No credit card needed.
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