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A connected Mathematics learning system from school foundations to examinations, applications and advanced study. Use the Mathematics Hub to move between levels, concepts, diagnosis, examinations, applications and world routes.

World Mathematics Examinations | Global Mathematics Exam Routes, Syllabuses and Preparation

Three learners review open books together at a classroom table, with stacks of textbooks, stationery and a whiteboard in the bright room.

World Mathematics Examinations is Bukit Timah Tutor’s navigation hub for Mathematics examinations, syllabuses and qualification routes across Singapore and the wider world. It connects PSLE Mathematics, Singapore SEC Mathematics, Additional Mathematics, H1/H2/Further Mathematics, Cambridge IGCSE and International A-Level Mathematics, Pearson Edexcel International GCSE and International A-Level Mathematics, OxfordAQA International GCSE and AS/A-Level Mathematics, IB Mathematics, UK GCSE/A-Level, SAT, ACT, AP and major Asia-Pacific examination systems to the Mathematics underneath them.

The central idea is simple: Mathematics is comparatively stable; examinations are versioned. Algebra remains algebra, probability remains probability and calculus remains calculus, but subject codes, permitted calculators, formula sheets, paper structures, assessment objectives and syllabus boundaries can change. This hub therefore separates the permanent mathematical knowledge layer from the temporary examination-rule layer.

If you are trying to improve performance rather than identify an examination route, go to Mathematics Examination Craft. If the problem is that a learner does not understand the underlying Mathematics, use Mathematics Diagnosis and the Mathematics Knowledge Warehouse. Use this hub to answer one question: What examination system am I in, what does it currently require, and where should I go next?

Which Mathematics examination are you preparing for?

Choose the exact qualification first. Similar Mathematics can sit inside very different paper structures, calculator rules, formula sheets, subject codes and grading systems.

Singapore

Cambridge, Pearson & IB

UK & United States

Other qualification families and bridge routes

Pearson modular & OxfordAQA

Cambridge & IB alternatives

UK bridge qualifications

Decision rule: identify the awarding body and qualification code before comparing content. Linear and modular Pearson routes, OxfordAQA, Cambridge O-Level/IGCSE, IB MYP and UK bridge qualifications are separate assessment systems even when their Mathematics overlaps.

Regional and national gateways

Need operational rules instead? Use Mathematics Examination Tools & Reference for current dates, calculator rules, formula sheets, method marks and syllabus-change tracking.

Pearson Edexcel International Mathematics | Which route?

If your school enters…Use this BTT route
International GCSE Mathematics A — linear 4MA1Mathematics A 4MA1
International GCSE Mathematics A — modular 4WM1/4WM2, cash-in 4XMAF/4XMAHMathematics A Modular
International GCSE Mathematics B — 4MB1Mathematics B 4MB1
International GCSE Further Pure Mathematics — 4PM1Further Pure Mathematics 4PM1
International AS / A Level MathematicsPearson Edexcel International A Level Mathematics

Pearson’s modular Mathematics A route is a distinct assessment structure from linear 4MA1: two mandatory units, each worth 50%, with Foundation/Higher cash-ins. Confirm the exact entry code with your school before using past papers or revision resources.

OxfordAQA Mathematics | Current or revised route?

OxfordAQA currently lists both live qualifications and revised/new Mathematics qualifications for later cohorts. Use the code that applies to the student’s examination generation.

Your routeOpen this BTT route
Current International GCSE Mathematics 92609260 Core / Extension guide
Current International AS/A-Level Mathematics 96609660 Pure / Statistics / Mechanics guide
Current International AS/A-Level Further Mathematics 96659665 Further Mathematics guide
Revised 9233 / 9760 / 9765 or new 9234OxfordAQA 2027+ transition guide

Version rule: OxfordAQA’s revised Further Mathematics 9765 is confirmed for first teaching from 2027, first AS exams May/June 2028 and first A2 exams May/June 2029. For the other revised/new codes, use the current official OxfordAQA qualification page when its detailed assessment specification applies.

Choose the examination system

Singapore Mathematics

For Singapore school Mathematics, begin with the Singapore Mathematics Hub and the Singapore Mathematics Curriculum Overview. The current school route runs from Primary Mathematics and PSLE into Secondary Education Certificate Mathematics, Additional Mathematics and then JC Mathematics.

For the 2027 Singapore SEC examination, SEAB lists G3 Mathematics as K310, with 4052 as the preceding reference, and G3 Additional Mathematics as K341, with 4049 as the preceding reference. BTT uses both the current and legacy codes where that helps a reader move from older resources to the current examination. Official reference: SEAB 2027 SEC G3 syllabuses.

Singapore SEC G3 Mathematics route: SEC G3 Mathematics K310 | BTT World Mathematics Bridge.

For the 2027 Singapore-Cambridge A-Level route, SEAB lists H1 Mathematics 8865, H2 Mathematics 9758 and H2 Further Mathematics 9649. The current List of Formulae and Results is MF27. Official reference: SEAB 2027 A-Level syllabuses.

Cambridge international Mathematics

The Cambridge route is organised by syllabus code, qualification family, administrative zone and examination year, not just by a generic label such as “Cambridge Maths”. The live Mathematics routes now include Cambridge IGCSE Mathematics 0580, IGCSE Additional Mathematics 0606, IGCSE International Mathematics 0607, Cambridge O Level Mathematics D 4024, O Level Additional Mathematics 4037, Cambridge International AS & A Level Mathematics 9709 and Further Mathematics 9231.

Cambridge IGCSE or Cambridge O Level Mathematics?

If your entry is…Use this route
IGCSE Mathematics 0580Cambridge IGCSE Mathematics 0580
IGCSE (9–1) Mathematics 0980Cambridge IGCSE (9–1) Mathematics 0980
IGCSE Additional Mathematics 0606Cambridge IGCSE Additional Mathematics 0606
IGCSE International Mathematics 0607Cambridge IGCSE International Mathematics 0607
O Level Mathematics D 4024Cambridge O Level Mathematics 4024
O Level Additional Mathematics 4037Cambridge O Level Additional Mathematics 4037

Cambridge describes IGCSE and O Level as equivalent qualifications grade for grade, but they remain separate syllabuses. O Level availability is also changing by administrative zone from 2028, so confirm the code and zone before using preparation material.

Cambridge IGCSE Mathematics 0580 already publishes separate 2025–2027 and 2028–2030 syllabus cycles. Cambridge also identifies a dedicated non-calculator paper within the current structure. That is exactly why BTT treats examination pages as versioned documents rather than permanent descriptions. Official reference: Cambridge IGCSE Mathematics 0580.

IB Mathematics

The IB Diploma Programme currently offers Mathematics: Analysis and Approaches at SL and HL, and Mathematics: Applications and Interpretation at SL and HL. Students take one Mathematics course within the Diploma Programme. BTT will keep AA and AI separate because their mathematical emphases, technology use and assessment demands are not interchangeable.

The current IB Mathematics courses have their final assessment in November 2028. The revised courses begin first teaching in August 2027, with first assessment in May 2029. BTT therefore treats “IB Mathematics” as two adjacent syllabus generations during the transition. Official reference: IB Diploma Programme Mathematics.

IB Mathematics pathway | MYP to Diploma Programme

StageUse this routeDecision
MYP MathematicsIB MYP Mathematics | Standard, Extended and eAssessmentStandard or Extended challenge; optional on-screen eAssessment.
DP course choiceAA vs AI, SL vs HLChoose by mathematical style and future university prerequisites.
DP Analysis & ApproachesIB Mathematics AAGreater emphasis on symbolic Mathematics, analysis and calculus.
DP Applications & InterpretationIB Mathematics AIGreater emphasis on modelling, statistics, interpretation and technology.

The MYP route does not mechanically determine AA or AI. Before Diploma Programme subject selection, check the learner’s algebra/functions readiness and the published Mathematics requirements of likely university courses.

UK, United States and other international routes

The world examination estate now includes dedicated routes for UK GCSE and A-Level Mathematics, Digital SAT Math, ACT Math, AP Calculus, AP Statistics and AP Precalculus; Asia-Pacific systems including HKDSE, Australian senior Mathematics, Malaysia SPM, CBSE/JEE, Japan Common Test, Korea CSAT and China Gaokao; and additional national or regional routes for New Zealand NCEA, Canada senior Mathematics, Ireland Leaving Certificate, France Baccalauréat, Germany Abitur, WASSCE and South Africa NSC. Each route is owned by its qualification page so syllabus codes, paper structures, calculators and dated changes can be maintained without rewriting the underlying Mathematics.

UK Core Maths | Quantitative Mathematics without full A-Level Maths

For post-GCSE students who need sustained Level 3 quantitative Mathematics but are not taking full A-Level Mathematics, use UK Core Maths Level 3. It compares AQA Mathematical Studies 1350 with OCR Core Maths A H868 and Core Maths B H869.

Core Maths focuses on data, finance, modelling, risk, quantitative reasoning and real decisions. It should not be treated as a substitute for A-Level Mathematics where a university course explicitly requires the full A-Level qualification.

Use the World Mathematics Atlas as the master map across these systems. BTT keeps one primary route for each board, syllabus and qualification so readers do not have to choose among competing versions of the same examination guide. Topic pages and preparation guides return to that primary route.

A better way to think about examination preparation

Students often treat an examination syllabus as if it were the Mathematics itself. That causes confusion. A syllabus is a selection and arrangement of mathematical objects under a particular assessment system. The underlying Mathematics should be learned through stable concept guides; the examination layer then teaches what is selected, how it is sampled, what tools are permitted and how marks are awarded.

QuestionBest route
What is a function?Functions and Graphs | Mathematics Knowledge Object
Why am I repeatedly getting function questions wrong?Mathematics Diagnosis
How does my examination test functions?This World Mathematics Examinations route → the relevant board or syllabus route
How do I execute accurately under time pressure?Mathematics Examination Craft
How does the same idea appear in another curriculum?World Mathematics Atlas

How BTT keeps examination information current

Every major examination route should state five things near the top: the qualification, the exact subject or syllabus code, the examination year or syllabus generation, the official source last checked, and the date the page was last verified. If a board changes a code, calculator policy, formula sheet or paper structure, the underlying mathematical explanation remains stable while the examination layer is revised.

  1. Qualification: for example SEC, GCE A-Level, Cambridge IGCSE, IB Diploma, SAT or AP.
  2. Subject and code: the exact code where the board uses one.
  3. Applicable examination: examination year or syllabus cycle.
  4. Official source: board or organiser rather than an undated third-party summary.
  5. Checked date: so a reader can distinguish current instructions from historical material.

Cross-board tools

Some examination questions cut across boards. These sit in a separate tools lane beneath this hub: worldwide Mathematics examination calendars, approved-calculator references, formula sheets and memorisation requirements, method-mark guidance, grade thresholds and syllabus-change tracking.

These tools must be dated because they can change. They should never overwrite the evergreen Mathematics pages. When a calculator list or examination date changes, only the dated tool page should need revision.

How to use this hub before an examination

  1. Identify the exact qualification and syllabus. Do not prepare for “A-Level Maths” or “IGCSE Maths” in the abstract.
  2. Open the mathematical topic map. Separate what the board requires from what you personally know.
  3. Diagnose the earliest weak link. Use Mathematics Diagnosis rather than simply doing more papers.
  4. Repair knowledge through the stable Mathematics route. Use the Knowledge Warehouse, Primary/Secondary learning hubs or the relevant A-Math/JC route.
  5. Train examination conversion. Use Examination Craft for pacing, question selection, method visibility, recovery and checking.
  6. Recheck board rules near the examination. Formula sheets, calculator permissions, paper structure and dates belong to the current official source.

World examination routes

RouteMain examinationsWhat the route covers
SingaporePSLE, SEC, H1, H2, Further MathematicsCurrent syllabus map, paper demands, transition and official-rule layer
Cambridge International0580, 0606, 0607, 9709, 9231Core/Extended, paper routes, topic maps and syllabus generations
IBAA SL/HL, AI SL/HLCourse choice, topic architecture, IA and assessment route
UKGCSE, A-Level, Further MathematicsBoard-specific route maps and comparison with Singapore
United StatesDigital SAT, ACT, APAdmissions and course examination preparation
Asia-PacificHKDSE, SPM, Gaokao, CSAT, Common Test, HSC/VCECurriculum and examination crosswalks

Frequently asked questions

Is this the same as Mathematics Examination Craft?

No. This hub identifies the examination system, syllabus and rules. Mathematics Examination Craft teaches how to convert mathematical capability into marks once the examination is known.

Why does BTT keep old syllabus codes visible?

Because students, parents, schools, textbooks and search engines can continue using a previous code after a qualification changes. BTT uses the old code as a bridge where useful, while making the current code and examination year explicit.

Should I learn the syllabus or learn Mathematics?

Both, but in the right order. Learn the mathematical objects and relationships so they transfer. Then learn the examination’s selection, notation, permitted tools, paper structure and marking expectations.

Where do I go if I do not know which examination route applies?

Start at the World Mathematics Atlas or the Singapore Mathematics Curriculum Overview. Those pages provide the broad map before you enter an examination-specific route.

Last reviewed: 27 September 2026. The Singapore, Cambridge and IB generation statements in the main hub text are checked against their official authorities. Regional and national qualification changes are dated and sourced inside their dedicated child routes, where the relevant examination authority remains the final source. This separation lets BTT refresh a changing qualification without silently rewriting stable Mathematics or unrelated examination systems.

Live examination routes

Each route is versioned against its applicable syllabus generation and links back to stable Mathematics objects for diagnosis and repair.

Cambridge Mathematics routes — Batch 02

These owners preserve examination-year syllabus cycles separately from the stable Mathematics beneath them.

Asia-Pacific Mathematics routes — Batch 01

These owners are explicitly versioned because both examination regulations and senior-secondary curriculum frameworks can change by cohort.

New live international Mathematics routes | 26–27 September 2026

The World Examinations estate now includes Pearson Edexcel’s major International GCSE and International A Level Mathematics routes, plus dedicated current-change guides for Cambridge 0580 and IB Mathematics.

IB and International Mathematics Topic Library | Estate F Complete

All 23 Estate F routes are live. Choose the exact course or qualification first, then open the topic library inside it. A calculus page from IB AA, a Cambridge 9709 Pure Mathematics page and a UK A-Level topic map may share Mathematics, but their syllabus boundaries, technology assumptions and assessment wrappers are not interchangeable.

IB Mathematics | choose AA or AI before choosing the topic

Cambridge IGCSE Mathematics | identify 0580 or 0606 first

Cambridge International AS & A Level Mathematics 9709 | choose the paper family

UK and transfer maps | use these when the question is comparison or board-wide coverage

Routing rule: use the World Mathematics Examinations owner for the exact qualification and current paper rules; use the World Mathematics Curriculum Comparison when the problem is transfer between systems; use the Knowledge Warehouse when the problem is the underlying Mathematics rather than the examination wrapper.

The examination wrapper changes faster than the Mathematics underneath it

A student moving from one examination system to another can easily mistake changes in paper design, notation, calculator rules or assessment emphasis for completely different Mathematics. Some differences are real and important. But much of the underlying subject remains recognisable: algebra, functions, geometry, trigonometry, calculus, probability, statistics and modelling continue to operate even when syllabus names and paper structures change.

This page therefore separates two layers. The stable layer contains mathematical objects and relationships. The versioned layer contains examination codes, paper formats, permitted tools, formula sheets, mark schemes, dates and board-specific conventions. Preparation becomes more robust when students learn the stable layer deeply and then adapt it to the current wrapper.

A cross-board decision framework

  1. Identify the exact qualification. “A-Level Maths” or “IGCSE Maths” is not precise enough when several boards and syllabus codes exist.
  2. Separate common Mathematics from board-specific selection. Which concepts are shared, and which topics or emphases are distinctive?
  3. Check the current official rules. Paper count, duration, calculator use, formula sheets and assessment weightings belong to the official source.
  4. Map prerequisite differences. A learner changing system may have covered a topic under another name or may have a genuine gap.
  5. Practise the target paper only after the mathematical map is clear. Board-specific practice should adapt knowledge, not replace it.

Case | Moving from Singapore Mathematics into an international route

A learner moving from Singapore school Mathematics into Cambridge IGCSE, IB or another international curriculum should not automatically restart from zero. Begin by mapping known objects: number, algebra, functions, geometry, trigonometry, data, probability and any calculus already learned. Then compare notation, topic scope and assessment style. The gap may be smaller than the unfamiliar syllabus language suggests.

The reverse is also true. A student arriving in Singapore may know substantial Mathematics but be unfamiliar with local paper conventions, problem-solving language or the expected sequence. A curriculum crosswalk is more useful than assuming unfamiliarity equals weakness.

Do not overfit preparation to past-paper surface features

Past papers are valuable because they reveal assessment style and force knowledge to operate under realistic constraints. They become dangerous when students memorise question appearances instead of the mathematical structures underneath them. A paper can change surface form while testing the same relationship.

Use past papers in two directions. First, learn the board-specific conventions: wording, mark allocation, tool use and time. Second, strip the question back to its mathematical object. Ask what would remain if the numbers, diagram, context or notation changed. This is how examination preparation builds transfer rather than template dependence.

Freshness discipline | What must be checked again and what can remain stable

Usually stable for longerMust be rechecked when decisions depend on it
Meaning of algebraic equivalence, functions, trigonometric relationships, calculus ideasSubject codes and syllabus generations
General problem-solving and verification principlesPaper duration, number of papers and weighting
Mathematical modelling and representationCalculator policies and approved models
Core reasoning about probability and statisticsFormula sheets, data booklets and permitted references
Transfer and examination-control skillsOfficial dates, specimen papers and board-specific instructions

This is why BTT uses dated official-source checks on examination pages. A current rule should not be copied forever into an evergreen concept page. When the wrapper changes, update the wrapper.

What examination independence looks like across boards

A student who truly owns the Mathematics should be able to adapt when the board changes the surface. The learner still needs time to learn new conventions, but the underlying reasoning remains portable. Strong transfer is visible when the student can read unfamiliar notation carefully, map it onto known objects, learn the permitted tools and then operate without constant translation from a tutor.

  • Can identify the exact examination and official source independently.
  • Can distinguish a new topic from a familiar topic under new notation.
  • Can learn paper conventions without relearning the whole subject.
  • Can use board-specific practice to calibrate timing and output rather than memorise templates.
  • Can recheck current rules near the examination instead of relying on an old worksheet or memory.

Parent decision guide | When changing systems, ask what is genuinely new

Families changing school, country or qualification often feel pressure to purchase an entirely new preparation programme immediately. Sometimes that is appropriate; sometimes the learner already owns most of the Mathematics and needs only a careful crosswalk plus targeted repair. Start by separating new content, new notation, new assessment rules and genuinely missing prerequisites.

The strongest transition plan protects portable Mathematics first. Then it adds the new wrapper deliberately. This reduces duplicated teaching and allows the learner to see continuity across educational systems.

Boundary | This hub does not replace the official board

BTT can organise routes, compare mathematical demands and explain how preparation should transfer. It cannot make an unofficial page the final authority for a current examination rule. When subject codes, paper structures, formula sheets, calculator policies or dates affect a real decision, use the latest official board or organiser information.

The durable advantage of the hub is therefore not pretending that every rule is permanent. It is maintaining a clear separation between stable Mathematics and changing assessment systems so the learner knows what must be relearned, what merely needs updating and what can travel intact.

A five-minute examination-route check before buying new materials

  1. Write the exact qualification, subject and syllabus code.
  2. Check the current examination year or syllabus generation on the official board site.
  3. List the Mathematics already known under another curriculum.
  4. Identify only the genuinely new content, notation or assessment rules.
  5. Choose preparation that targets those differences while preserving transferable Mathematics.

This small check prevents a common waste pattern: a student changes board, buys an entirely new stack of materials and spends weeks relearning Mathematics that was already secure. The better approach is a crosswalk first, then targeted adaptation.

It also protects current-source discipline. A book or tuition note may remain mathematically useful while an examination code, formula sheet or calculator rule has changed. Separate the mathematical value of the material from the freshness of the examination instructions.

The long arc | A student should become less board-dependent over time

At early stages, a learner may experience Mathematics almost entirely through one school syllabus. As mathematical maturity grows, the learner should increasingly recognise that boards select and assess from a larger subject. This wider view makes transitions easier: the student can ask what is genuinely new, map it onto known objects and learn the local examination conventions without losing the Mathematics underneath.

The strongest cross-board preparation is therefore bilingual in a mathematical sense: the student can speak the stable language of Mathematics and the local language of the examination. When the board changes, the second language may need updating; the first should remain portable. That separation is what prevents every syllabus change from feeling like a new subject.

Mathematics system route: Mathematics Hub · World Mathematics Atlas · Curriculum Overview · Examination Craft · Learning Library.

World Mathematics Examination Routes

The Atlas’s 55 examination routes are now represented by live primary pages. Older Singapore syllabus codes remain visible as historical bridges, while current SEC codes lead the forward route.

  1. Singapore SEC G3 Mathematics K310 — legacy 4052 bridge.
  2. Singapore SEC G3 Additional Mathematics K341 — legacy 4049 bridge.
  3. PSLE Mathematics
  4. H2 Mathematics 9758
  5. H1 Mathematics 8865
  6. H2 Further Mathematics 9649
  7. Cambridge IGCSE Mathematics 0580
  8. Cambridge IGCSE Additional Mathematics 0606
  9. Cambridge IGCSE International Mathematics 0607
  10. Cambridge International AS & A Level Mathematics 9709
  11. Cambridge International Further Mathematics 9231
  12. IB Mathematics AA SL/HL
  13. IB Mathematics AI SL/HL
  14. UK GCSE Mathematics
  15. UK A-Level Mathematics
  16. UK A-Level Further Mathematics
  17. Digital SAT Math
  18. ACT Math
  19. AP Calculus AB/BC
  20. AP Statistics · AP Precalculus
  21. JEE Main & Advanced Mathematics
  22. CBSE Class 12 Mathematics
  23. China Gaokao Mathematics
  24. Korea CSAT Mathematics
  25. Japan Common Test Mathematics
  26. HKDSE Mathematics
  27. Malaysia SPM Mathematics & Additional Mathematics
  28. Australia HSC / VCE Mathematics
  29. Cambridge Primary & Lower Secondary Checkpoint Mathematics
  30. WASSCE Mathematics · South Africa NSC Mathematics
  31. Pearson Edexcel International GCSE Mathematics A 4MA1
  32. Pearson Edexcel International GCSE Mathematics B 4MB1
  33. Pearson Edexcel International GCSE Further Pure Mathematics 4PM1
  34. Pearson Edexcel International A Level Mathematics
  35. Pearson Edexcel AEA Mathematics 9811
  36. Pearson Edexcel GCSE Mathematics 1MA1
  37. AQA GCSE Mathematics 8300
  38. OCR GCSE Mathematics J560
  39. Pearson Edexcel A-Level Mathematics 9MA0
  40. AQA A-Level Mathematics 7357
  41. OCR A-Level Mathematics H240
  42. AQA A-Level Further Mathematics 7367
  43. Pearson Edexcel A-Level Further Mathematics 9FM0
  44. OCR A-Level Further Mathematics A H245
  45. OCR A-Level Further Mathematics B (MEI) H645
  46. OCR A-Level Mathematics B (MEI) H640
  47. Pearson Edexcel International A Level Further Mathematics YFM01
  48. Wales Mathematics Qualifications | WJEC GCSE Mathematics & Numeracy and A-Level
  49. Northern Ireland CCEA Mathematics | GCSE M1–M8 and GCE
  50. Scotland Higher & Advanced Higher Mathematics
  51. New Zealand NCEA Mathematics & Statistics | Levels 1–3 and Scholarship
  52. Canada Senior Mathematics | Ontario, Alberta and British Columbia Grade 12 Pathways
  53. Ireland Leaving Certificate Mathematics | Higher, Ordinary and Foundation
  54. France Baccalauréat Mathematics
  55. Germany Abitur Mathematics