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Pearson Edexcel International GCSE (IGCSE) · 4PM1 · 108 Papers

Edexcel International GCSE (IGCSE) Further Mathematics (4PM1) Past Papers 2026

Download free Edexcel International GCSE (IGCSE) Further Mathematics past papers, mark schemes. 30 exam sessions from 2011–2026.

June 2024

Latest Session

30

Sessions

2011–2026

54

Question Papers

54

Mark Schemes

100% coverage

0

Specimen Papers

Components & time pressure

Marks per minute shows how fast you have to work — the higher the number, the tighter the time pressure in that paper.

PaperComponentMarksDurationMarks / minPressure
Paper 1 (4PM1/01)Further Pure Mathematics — Paper 11002h0.83Moderate
Paper 2 (4PM1/02)Further Pure Mathematics — Paper 21002h0.83Moderate

Component structure extracted from 3 official Edexcel documents (2023–2024). Timings and mark totals are taken from the papers themselves.

Free past papers

Yearly Exam Sessions

How it's examined

How is Edexcel International GCSE (IGCSE) Further Mathematics examined?

Edexcel International GCSE (IGCSE) Further Mathematics is examined through 2 paper components. Understanding each component helps you allocate revision time effectively.

Paper 1 (4PM1/01)

100 marks

Further Pure Mathematics — Paper 1

Duration: 2h

Paper 2 (4PM1/02)

100 marks

Further Pure Mathematics — Paper 2

Duration: 2h

From examiner reports

What Edexcel examiners say about Further Mathematics

Verbatim quotes from 3 official Edexcel examiner reports (2023–2024). Every quote is attributable to a specific paper and session — these are the things Edexcel markers flag year after year.

Producing answers from a calculator with no algebraic…

it was clear that some candidates made use of a permissible calculator with no justification as to where their answers came from. Answers with insufficient working, as per the rubric on the front of the paper will score no marks.
Edexcel examiner, 4PM1 Paper 1, June 2023

Omitting steps in 'show that' and proof questions

In these 'show' questions it is essential that every step is seen. Skipping a few stages of working out and proceeding straight to the answer will not convince examiners who will not then be unable to award marks.
Edexcel examiner, 4PM1 Paper 1, June 2023

Confusing distance and displacement (failing to take the…

many candidates failed to recognise the distinction between displacement, which has direction, and distance which does not. Many candidates gave a positive result when they evaluated the integral but a sizeable minority just subtracted their results from evaluation of the integral the 'wrong way' around despite having their limits the correct way around.
Edexcel examiner, 4PM1 Paper 1, June 2023
See how to avoid these in the Further Mathematics (4PM1) exam guide
Avoid these

Most Common Mistakes — Further Mathematics

Based on analysis of 3 official Edexcel examiner reports (2023, 2024). Avoid these errors to maximise your marks.

1

Producing answers from a calculator with no algebraic working

Paper 1 2023, Paper 1 2024, Paper 2 2024 · Flagged explicitly in every report for questions involving coordinate geometry, logarithms, and cubic equations

2

Omitting steps in 'show that' and proof questions

Paper 1 2023, Paper 1 2024, Paper 2 2024 · Highlighted in every report; recurs across calculus, trigonometry, series, and logarithm proofs

3

Confusing distance and displacement (failing to take the modulus of a negative integral)

Paper 1 2023, Paper 1 2024 · Recurring in mechanics/calculus integration questions across both years

4

Logarithm manipulation errors — wrong base, incorrect power rule, treating log(a)·log(b) as log(ab)

Paper 1 2023, Paper 1 2024 · Raised in Paper 1 reports for both 2023 and 2024

5

Series questions — summing from r = 1 instead of the correct lower limit

Paper 1 2023, Paper 1 2024 · Reported in Paper 1 for both 2023 and 2024

Focus your revision

Topics Students Struggle With Most

Logarithm equations — multi-base reduction and quadratic substitution

Paper 1 2023 Q6 and Paper 1 2024 Q9(b) both show significant candidate difficulty. In 2023, many candidates formed a linear equation instead of a quadratic by misapplying the power law. In 2024, a significant minority failed to convert to a single base (choosing base 16 instead of base 2) and many could not demonstrate the required rigour to gain all 4 marks on the 'show' sub-part.

Paper 1 2023, Paper 1 2024

Series — finding sums with lower limits greater than 1, and geometric inequality using logs

In Paper 1 2023 Q1(b), only about half the cohort correctly computed the partial sum from r = 10 to 40. In Paper 1 2024 Q8(d), many candidates were unsure when to reverse the inequality sign during log manipulation, used equals signs throughout, and lost the third mark for poor inequality handling.

Paper 1 2023, Paper 1 2024

Trigonometric proofs — missing intermediate steps and tan confusion

Paper 1 2023 Q9(c) was answered well only by the most able: sin2x/cos2x = tan2x (not tanx) was a critical error seen very commonly, and candidates who did not link the question to part (b) almost universally scored zero. Paper 2 2024 Q11 had many candidates missing vital intermediate proof steps and making sign errors in double-angle expansions.

Paper 1 2023, Paper 2 2024

Volume of revolution — axis of rotation and correct squaring of the radius

Paper 2 2024 Q6 was answered badly overall. A large proportion of candidates rotated about the x-axis instead of the y-axis, limiting available marks to special-case marks at most. Those who correctly identified rotation about the y-axis often wrote the integration of 1/(16y²) incorrectly as 16y⁻² rather than (16y²)⁻¹.

Paper 2 2024

Coordinate geometry of areas — identifying correct limits and curve/line ordering

Paper 1 2024 Q7(c) had very few completely correct solutions. Candidates used the same limits (0 and 1, or 1 and 4) for both the line and the curve when different limits were required for each. Many failed to use the area of a triangle to simplify the calculation under the line, leading to integration errors.

Paper 1 2024

Vectors — unit vector implications and concluding parallelogram proofs

Paper 1 2023 Q10: most candidates scored only 2 out of 9 marks because they did not know how to extract the length of a vector from a given unit vector (setting |OB| = 1, not |OB| = 17/34). Paper 2 2024 Q10(a): most candidates scored 1 out of 3 because they only checked one pair of opposite sides of the parallelogram and did not write a conclusion.

Paper 1 2023, Paper 2 2024

3-D trigonometry and solid geometry — dimensional awareness and angle identification

Paper 2 2024 Q9(c) was too frequently left completely unanswered; many candidates did not know the geometry of a wedge solid. Q9(d) was the least successful part of the whole paper: many candidates misidentified the required dihedral angle, confusing angle FCX with angle FCA. Algebraic manipulation with surds in rationalising the denominator also caused errors in Q9(b).

Paper 2 2024

Rates of change — chain rule for related rates (connected variables)

Paper 1 2024 Q4: a significant number of candidates failed to identify dr/dt = 5/12 and instead treated the value as a radius. Others tried to construct a chain rule without identifying the correct relationship between the rate of change of volume and the rate of change of radius, leading to universally incorrect calculations.

Paper 1 2024

About

Edexcel International GCSE (IGCSE) Further Mathematics — Full Archive 2011–2026

This page contains all 108 Pearson Edexcel International GCSE (IGCSE) Further Mathematics past papers available for free download — 30 exam sessions from 2011 to 2026. Each session includes question papers (QP), mark schemes (MS), and where applicable, marking advice (MA) and insert materials (IN). No registration or payment required.

Pearson Edexcel A Level Further Mathematics is graded A*–E. Edexcel A Levels are widely recognised by universities in the UK and internationally. As part of Pearson, Edexcel also offers International A Levels (IAL) with a modular structure — make sure you're practising with papers that match your specification.

Edexcel A Level papers are split into components that assess different specification areas. Some subjects have a practical endorsement or coursework element alongside the written papers — the past papers in this archive cover the written examination components.

Edexcel mark schemes distinguish between method marks (M), accuracy marks (A), and independent marks (B). Even if your final answer is wrong, clear working can earn method marks — so always show your steps. After completing each Further Mathematics past paper under timed exam conditions, mark it against the official scheme and track which topics and question types cost you the most marks. Focusing revision on your weakest areas across 3–5 papers is the most efficient way to improve your grade.

FAQs

Questions, answered.

PapersDaddy provides 108 free Edexcel International GCSE (IGCSE) Further Mathematics past papers from 2011–2026. Download question papers and mark schemes as PDF — no registration needed.

We have 108 papers across 30 exam sessions for Edexcel International GCSE (IGCSE) Further Mathematics. This includes question papers and mark schemes, plus 0 specimen papers.

QP = Question Paper (the actual exam paper), MS = Mark Scheme (official marking guide with accepted answers), MA = Marking Advice (additional guidance for markers), IN = Insert (source material booklet used during the exam). Download both the QP and MS for each session to practise effectively.