Pearson EdexcelInternational GCSE197 resources

Pearson Edexcel International GCSE Further Pure Mathematics Past Papers & Mark Schemes

Free Edexcel iGCSE Further Pure Mathematics (4PM0) past papers, mark schemes & examiner reports. 197 resources across multiple sessions.

📅January and June, multiple years📄197 resources availableFree to download

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Year

197 of 197 resources — page 1 of 8

January 2016

5 files
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International GCSE Further Pure Mathematics – Question paper – Paper 2 – January 2016

Question Paper

International GCSE Further Pure Mathematics – Mark scheme – Paper 2 – January 2016

Mark Scheme
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International GCSE Further Pure Mathematics – Examiner report – Paper 2 – January 2016

Examiner Report
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International GCSE Further Pure Mathematics – Question paper – Paper 1 – January 2016

Question Paper

International GCSE Further Pure Mathematics – Mark scheme – Paper 1 – January 2016

Mark Scheme

June 2015

5 files

International GCSE Further Pure Mathematics – Mark scheme – Paper 1 – June 2015

Mark Scheme
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International GCSE Further Pure Mathematics – Question paper – Paper 2 – June 2015

Question Paper
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International GCSE Further Pure Mathematics – Examiner report – Paper 1 – June 2015

Examiner Report
📊

International GCSE Further Pure Mathematics – Examiner report – Paper 2 – June 2015

Examiner Report

International GCSE Further Pure Mathematics – Mark scheme – Paper 2 – June 2015

Mark Scheme

January 2015

3 files

International GCSE Further Pure Mathematics – Mark scheme – Paper 1 – January 2015

Mark Scheme
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International GCSE Further Pure Mathematics – Question paper – Paper 1 – January 2015

Question Paper

International GCSE Further Pure Mathematics – Mark scheme – Paper 2 – January 2015

Mark Scheme

January 2014

6 files

International GCSE Further Pure Mathematics – Mark scheme – Paper 1 – January 2014

Mark Scheme

International GCSE Further Pure Mathematics – Mark scheme – Paper 2 – January 2014

Mark Scheme
📄

International GCSE Further Pure Mathematics – Question paper – Paper 2 – January 2014

Question Paper
📊

International GCSE Further Pure Mathematics – Examiner report – Paper 1 – January 2014

Examiner Report
📊

International GCSE Further Pure Mathematics – Examiner report – Paper 2 – January 2014

Examiner Report
📄

International GCSE Further Pure Mathematics – Question paper – Paper 1 – January 2014

Question Paper

June 2014

6 files
📄

International GCSE Further Pure Mathematics – Question paper – Paper 1 – June 2014

Question Paper

International GCSE Further Pure Mathematics – Mark scheme – Paper 1 – June 2014

Mark Scheme

International GCSE Further Pure Mathematics – Mark scheme – Paper 2 – June 2014

Mark Scheme
📊

International GCSE Further Pure Mathematics – Examiner report – Paper 2 – June 2014

Examiner Report
📊

International GCSE Further Pure Mathematics – Examiner report – Paper 1 – June 2014

Examiner Report
📄

International GCSE Further Pure Mathematics – Question paper – Paper 2 – June 2014

Question Paper

Further Pure Mathematics: The iGCSE Bridge to A-Level and IB Higher Mathematics

Pearson Edexcel International GCSE Further Pure Mathematics (4PM0) is a standalone qualification designed for mathematically advanced students who want to study content well beyond the standard iGCSE Mathematics syllabus. It is particularly popular in international schools where students plan to take A-Level Mathematics, A-Level Further Mathematics, or IB Higher Level Mathematics. The qualification consists of two externally examined papers, each 2 hours long and worth 50% of the total grade. Both papers permit the use of a scientific calculator but not a graphical calculator. Content includes the binomial theorem, quadratic theory, logarithmic and exponential functions, series, matrices and transformations, differentiation, integration, and trigonometric identities. Grading historically uses the A*–E scale, reflecting the qualification's roots as a specialist extension paper. There are no tiers — all candidates sit the same papers. The standard expected is significantly above iGCSE Mathematics Higher; topics such as matrix transformations, summation of series using sigma notation, and calculus of trigonometric functions place this closer to the first year of A-Level Mathematics. With 197 resources spanning multiple January and June sessions, the past-paper archive provides extensive preparation material for a qualification that demands both technical fluency and the ability to construct sustained mathematical arguments.

Exam Paper Structure

Paper 1Calculator ✓

Further Pure Mathematics 1

2 hours🎯 100 marks📊 50% of grade
Logarithms and exponentialsQuadratic theoryBinomial theoremCalculusSeriesTrigonometric identities
Paper 2Calculator ✓

Further Pure Mathematics 2

2 hours🎯 100 marks📊 50% of grade
Matrices and transformationsDifferentiationIntegrationSeries and summationFurther trigonometryProof

Key Information

Exam BoardPearson Edexcel
Specification Code4PM0
QualificationInternational GCSE
Grading ScaleA*–E
Assessment Type2 written exams (no coursework)
TiersNo tiers
Number Of Papers2
Exam Duration2 hours per paper
Total Marks200 (100 per paper)
Calculator StatusScientific calculator allowed on both papers
Available SessionsJanuary and June, multiple years
Total Resources197

Key Topics in Further Pure Mathematics

Topics you need to know

Quadratic theory and polynomialsLogarithmic and exponential functionsBinomial theorem and seriesMatrices and linear transformationsDifferentiation and applicationsIntegration techniquesTrigonometric identities and equationsMathematical proof

Exam Command Words

Command wordWhat the examiner expects
Show thatProvide a complete logical argument arriving at the given result
ProveConstruct a rigorous algebraic or geometric proof
FindDetermine the value, expression, or equation requested
SolveFind all values of the variable that satisfy the equation
HenceUse your preceding result as a starting point for this part
SketchDraw the curve showing intercepts, asymptotes, and general shape
StateWrite down a fact, condition, or result without detailed working

Typical Grade Boundaries

GradeApproximate mark needed
A*80–90%
A68–79%
B55–67%
C43–54%
D32–42%
E22–31%

⚠️ Typical grade boundaries across both papers (200 total marks). Boundaries vary by session — check Pearson's website.

Tackling Further Pure Mathematics Papers: From Topic Drill to Timed Examination

Further Pure Mathematics questions demand a level of algebraic fluency that goes well beyond standard iGCSE. Before attempting full papers, ensure you are completely confident with algebraic manipulation — partial fractions, completing the square, and factorisation of cubics. These are foundational skills that appear embedded in almost every question, and errors at this level propagate through multi-step solutions. Calculus questions typically carry the highest marks. Practise differentiation from first principles, the chain rule applied to composite functions, and integration techniques including substitution. When checking your integration answers, differentiate the result to verify — this self-checking habit catches sign errors and coefficient mistakes that are otherwise invisible until the mark scheme. The binomial theorem and series questions often require you to state a validity condition (e.g. |x| < 1) or identify the range of convergence. Mark schemes consistently award a mark for this condition, and omitting it is one of the most common point losses in otherwise correct solutions. Make a habit of writing the validity condition every time you expand a binomial series.

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