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FURTHER-MATHEMATICS-YFM01 · Pearson Edexcel International A Level

FURTHER-MATHEMATICS-YFM01/22

Paper 2

Further Mathematics YFM01 · Winter 2026 · Variant 2

Relative difficulty

Demanding · 3.8/5

Analysis source: Pearson Edexcel

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

3.8 / 5

Total marks

225

Duration

270 min

Most tested topic

Further Calculus and Integration Methods (FP3)

Cohort performance

Session statistics from official examination reports

Total marks

225

Duration

270 min

Session difficulty

3.8 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

The January 2026 International Advanced Level Further Mathematics examinations across Units FP1, FP2, and FP3 offered a rigorous and mathematically demanding experience.

2

Maintaining the high standards expected of the Pearson Edexcel specification, the suite was characterized by extensive algebraic complexity, particularly in the later questions of each paper.

3

Students who combined thorough procedural fluency with sharp geometric intuition were well-positioned to excel, while those relying on rote-learned algorithms often struggled with the non-routine parts of coordinate systems and vector calculus.

Question difficulty map

How candidates performed on each question in this series

No data available in official reports

Assessment objectives

Skill and AO weighting from official examiner commentary

Algebraic Manipulation10
Calculus & Differentiation8
Integration Logical7
Proof & I5
Geometric Visualisation4
Problem Solving & Reasoning2
Solving &1

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic ManipulationAlgebraicManipulationCalculus & DifferentiationCalculus &DifferentiationIntegration LogicalIntegrationLogicalProof & IProof & IGeometric VisualisationGeometricVisualisationProblem Solving & ReasoningProblem Solving &ReasoningSolving &Solving &
SkillWeightShare
  • Algebraic Manipulation

    Weight: 10100%
  • Calculus & Differentiation

    Weight: 880%
  • Integration Logical

    Weight: 770%
  • Proof & I

    Weight: 550%
  • Geometric Visualisation

    Weight: 440%
  • Problem Solving & Reasoning

    Weight: 220%
  • Solving &

    Weight: 110%

Method marks watchlist

Where working, steps, or method marks were commonly lost

No data available in official reports

Recurring mistakes across years

Themes examiners flag in multiple recent sessions for this subject

No data available in official reports

Question choice intelligence

Mean scores and popularity for optional questions (HKDSE electives)

No data available in official reports

Level exemplars

What candidate scripts at each grade level looked like

No data available in official reports

Grade & admission context

How marks relate to grade thresholds and entry standards

Report type

Examiner report — national grade boundaries and question-level commentary

Level A*

Approx. 90% of maximum mark

Level A

Approx. 80% of maximum mark

Level B

Approx. 70% of maximum mark

Level C

Approx. 60% of maximum mark

Level D

Approx. 50% of maximum mark

Level E

Approx. 40% of maximum mark

Deep insights

What top candidates did

Techniques and approaches examiners rewarded in this series

No data available in official reports

Command word playbook

How to match each command word to the expected response style

FindFrequency: 22

Match the expected response style for “Find” questions.

ShowFrequency: 15

Match the expected response style for “Show” questions.

ProveFrequency: 3

Match the expected response style for “Prove” questions.

SolveFrequency: 3

Match the expected response style for “Solve” questions.

ExpressFrequency: 1

Match the expected response style for “Express” questions.

EvaluateFrequency: 1

Weigh arguments for and against with evidence; end with a supported judgement.

Time traps

Sections where candidates spent disproportionate time relative to marks

No data available in official reports

Syllabus traceability

Topics linked to questions and mark weighting in this session

Integration (Unit FP3: Further Pure Mathematics 3)

22 marks this session

Further complex numbers (Unit FP2: Further Pure Mathematics 2)

19 marks this session

Coordinate systems (Unit FP1: Further Pure Mathematics 1)

19 marks this session

Complex numbers (Unit FP1: Further Pure Mathematics 1)

15 marks this session

Second order differential equations (Unit FP2: Further Pure Mathematics 2)

13 marks this session

MCQ trap analytics

Commonly chosen wrong options from examiner commentary

No data available in official reports

Topic heatmap across years

Mark concentration by topic and exam year for this subject

Mark intensity

LowHigh
Topic
2023
2024
2025
2026
Σ

Further complex numbers (Unit FP2)

16
18
24
58

Integration (Unit FP3)

16
21
37

Coordinate systems (Unit FP1)

20
17
37

Integration (Unit FP3: Further Pure Mathematics 3)

22
22

Further complex numbers (Unit FP2: Further Pure Mathematics 2)

19
19

Coordinate systems (Unit FP1: Further Pure Mathematics 1)

19
19

Further coordinate systems (Unit FP3)

18
18

Further matrix algebra (Unit FP3)

16
16

Paper comparison

Marks and duration breakdown across papers in this session

WFM01/01A: Further Pure Mathematics F1: WFM02/01A: Further Pure Mathematics F2: WFM03/01A: Further Pure Mathematics F3:

75 marks90 min

Marks you can still earn

Where valid approaches outside the mark scheme may still gain credit

No data available in official reports

Practise what examiners flagged

Target weak topics from this report inside the Revui app

Self-diagnostic checklist

Key actions before you sit this paper — copy and tick off as you revise

  • 1Message

    The January 2026 International Advanced Level Further Mathematics examinations across Units FP1, FP2, and FP3 offered a rigorous and mathematically demanding experience.

  • 2Message

    Maintaining the high standards expected of the Pearson Edexcel specification, the suite was characterized by extensive algebraic complexity, particularly in the later questions of each paper.

  • 3Message

    Students who combined thorough procedural fluency with sharp geometric intuition were well-positioned to excel, while those relying on rote-learned algorithms often struggled with the non-routine parts of coordinate systems and vector calculus.

Teacher briefing pack

One-page session summary for tutors and classroom review

Winter 2026 2026

Further Mathematics YFM01

The January 2026 International Advanced Level Further Mathematics examinations across Units FP1, FP2, and FP3 offered a rigorous and mathematically demanding experience. Maintaining the high standards expected of the Pearson Edexcel specification, the suite was characterized by e

  • The January 2026 International Advanced Level Further Mathematics examinations across Units FP1, FP2, and FP3 offered a rigorous and mathematically demanding experience.

  • Maintaining the high standards expected of the Pearson Edexcel specification, the suite was characterized by extensive algebraic complexity, particularly in the later questions of each paper.

  • Students who combined thorough procedural fluency with sharp geometric intuition were well-positioned to excel, while those relying on rote-learned algorithms often struggled with the non-routine parts of coordinate systems and vector calculus.

Total marks
225
Duration
270 min
Session difficulty
3.8 / 5

Session analysis

The January 2026 International Advanced Level Further Mathematics examinations across Units FP1, FP2, and FP3 offered a rigorous and mathematically demanding experience. Maintaining the high standards expected of the Pearson Edexcel specification, the suite was characterized by extensive algebraic complexity, particularly in the later questions of each paper. Students who combined thorough procedural fluency with sharp geometric intuition were well-positioned to excel, while those relying on rote-learned algorithms often struggled with the non-routine parts of coordinate systems and vector calculus.

Updated Jun 12, 2026

Paper breakdown

WFM01/01A: Further Pure Mathematics F1: WFM02/01A: Further Pure Mathematics F2: WFM03/01A: Further Pure Mathematics F3:

75 marks90 min

Top chapters

Integration (Unit FP3: Further Pure Mathematics 3)22 marks
Further complex numbers (Unit FP2: Further Pure Mathematics 2)19 marks
Coordinate systems (Unit FP1: Further Pure Mathematics 1)19 marks
Complex numbers (Unit FP1: Further Pure Mathematics 1)15 marks
Second order differential equations (Unit FP2: Further Pure Mathematics 2)13 marks

Exam structure insights

Marks by chapter

See where the marks were concentrated so revision time goes to the highest-value topics.

Integration (Unit FP3: Further22 marks
Further complex numbers (Unit F19 marks
Coordinate systems (Unit FP1: F19 marks
Complex numbers (Unit FP1: Furt15 marks
Second order differential equat13 marks
Vectors (Unit FP3: Further Pure12 marks
Differentiation (Unit FP3: Furt12 marks
Further coordinate systems (Uni11 marks

Mark accessibility

Estimate which marks were basic, mid-level, or high-difficulty.

80% within easy or medium reach

50
129
46
Easy: 50 marksMedium: 129 marksHard: 46 marks

Command word frequency

Spot common command words so answers match the expected response style.

Find22 times
Show15 times
Prove3 times
Solve3 times
Express1 times
Evaluate1 times

Question type mix

Compare the mark share of each paper section and question type.

225Marks
  • Long Multi-step

    138·12·61%

  • Medium Structured

    83·12·37%

  • Short Answer

    4·1·2%

Study ROI

Bigger bubbles recur more often; higher bubbles carry more marks, helping you rank revision priorities.

DifficultyRecurrence %First and Second O…Complex Numbers & …Standard Summation…Matrix Algebra & T…Integration Method…Conics & Coordinat…

Difficulty trend

Compare difficulty across recent years.

3.820224.120234.22024420253.82026

Cumulative marks ladder

The line is your running mark total question by question; dashed lines are the estimated grade cut-offs. See which question the line crosses your target grade at, so you know how far you must answer cleanly and which questions decide a band.

056113169225A* estimatedA estimatedB estimatedC estimatedD estimatedE estimatedU estimated41337647597119139150169180202225

Next-year prediction

Topics worth watching next year, with the reason shown directly below each bar.

Matrix Transformations (3D)

85%

85%

Conics Loci and Directrix Proofs

82%

82%

Numerical Solution of Differential Equations (Taylor Series / Picard's / Runge-Kutta)

78%

78%

Complex Loci in the Argand Diagram

75%

75%

January 2026 Further Mathematics IAL F1-F3 Exam Analysis

The January 2026 International Advanced Level Further Mathematics examinations across Units FP1, FP2, and FP3 offered a rigorous and mathematically demanding experience. Maintaining the high standards expected of the Pearson Edexcel specification, the suite was characterized by extensive algebraic complexity, particularly in the later questions of each paper. Students who combined thorough procedural fluency with sharp geometric intuition were well-positioned to excel, while those relying on rote-learned algorithms often struggled with the non-routine parts of coordinate systems and vector calculus.

Analysis is paraphrased for study purposes. Always verify against the official examiner report and mark scheme.

FURTHER-MATHEMATICS-YFM01/22 — Pearson Edexcel International A Level Further Mathematics YFM01 (Winter 2026) | Revui