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FURTHER-MATHEMATICS-YFM01 · Pearson Edexcel International A Level

FURTHER-MATHEMATICS-YFM01/21

Paper 2

Further Mathematics YFM01 · Winter 2024 · Variant 1

Relative difficulty

Demanding · 4.1/5

Analysis source: Pearson Edexcel

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

4.1 / 5

Total marks

225

Duration

270 min

Most tested topic

Complex Numbers and Loci Transformations

Cohort performance

Session statistics from official examination reports

Total marks

225

Duration

270 min

Session difficulty

4.1 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

The January 2024 International Advanced Level Further Mathematics (YFM01) series is a formidable test of mathematical stamina and algebraic precision.

2

Further Pure 1 (F1) offers the most accessible path to securing baseline marks, featuring predictable patterns in numerical methods and proof by induction.

3

However, Further Pure 2 (F2) and Further Pure 3 (F3) dramatically escalate in difficulty.

4

Unit F2 introduces highly complex second-order differential equations with tedious particular solution boundaries, while Unit F3 pushes student limits with coordinate geometry integrations and 3D vector proofs.

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

Algebraic10
Accuracy9
Spatial/8
Geometric7
Calculus & Differentiation6
Integration Logical5
Rigour &3
Matrix Manipulation2

Skill weighting

Shows the skill mix this paper tested most heavily.

AlgebraicAlgebraicAccuracyAccuracySpatial/Spatial/GeometricGeometricCalculus & DifferentiationCalculus &DifferentiationIntegration LogicalIntegrationLogicalRigour &Rigour &Matrix ManipulationMatrixManipulation
SkillWeightShare
  • Algebraic

    Weight: 10100%
  • Accuracy

    Weight: 990%
  • Spatial/

    Weight: 880%
  • Geometric

    Weight: 770%
  • Calculus & Differentiation

    Weight: 660%
  • Integration Logical

    Weight: 550%
  • Rigour &

    Weight: 330%
  • Matrix Manipulation

    Weight: 220%

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

thatFrequency: 18

Match the expected response style for “that” questions.

DetermineFrequency: 15

Match the expected response style for “Determine” questions.

SolveFrequency: 5

Match the expected response style for “Solve” questions.

FindFrequency: 6

Match the expected response style for “Find” questions.

ProveFrequency: 4

Match the expected response style for “Prove” questions.

DescribeFrequency: 1

State features in sequence or list observable properties — do not explain causes unless asked.

SketchFrequency: 1

Match the expected response style for “Sketch” questions.

downFrequency: 3

Match the expected response style for “down” questions.

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

Further complex numbers (Unit FP2)

18 marks this session

Integration (Unit FP3)

16 marks this session

Further matrix algebra (Unit FP3)

16 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

Difficulty trend

How session difficulty has shifted across recent years

2023202420252026
2023 Winter 2023 · 3.8/52024 Winter 2024 · 4.1/52025 Winter 2025 · 4.2/52026 Winter 2026 · 3.8/5

Paper comparison

Marks and duration breakdown across papers in this session

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

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 2024 International Advanced Level Further Mathematics (YFM01) series is a formidable test of mathematical stamina and algebraic precision.

  • 2Message

    Further Pure 1 (F1) offers the most accessible path to securing baseline marks, featuring predictable patterns in numerical methods and proof by induction.

  • 3Message

    However, Further Pure 2 (F2) and Further Pure 3 (F3) dramatically escalate in difficulty.

  • 4Message

    Unit F2 introduces highly complex second-order differential equations with tedious particular solution boundaries, while Unit F3 pushes student limits with coordinate geometry integrations and 3D vector proofs.

Teacher briefing pack

One-page session summary for tutors and classroom review

Winter 2024 2024

Further Mathematics YFM01

The January 2024 International Advanced Level Further Mathematics (YFM01) series is a formidable test of mathematical stamina and algebraic precision. Further Pure 1 (F1) offers the most accessible path to securing baseline marks, featuring predictable patterns in numerical metho

  • The January 2024 International Advanced Level Further Mathematics (YFM01) series is a formidable test of mathematical stamina and algebraic precision.

  • Further Pure 1 (F1) offers the most accessible path to securing baseline marks, featuring predictable patterns in numerical methods and proof by induction.

  • However, Further Pure 2 (F2) and Further Pure 3 (F3) dramatically escalate in difficulty.

Total marks
225
Duration
270 min
Session difficulty
4.1 / 5

Session analysis

The January 2024 International Advanced Level Further Mathematics (YFM01) series is a formidable test of mathematical stamina and algebraic precision. Further Pure 1 (F1) offers the most accessible path to securing baseline marks, featuring predictable patterns in numerical methods and proof by induction. However, Further Pure 2 (F2) and Further Pure 3 (F3) dramatically escalate in difficulty. Unit F2 introduces highly complex second-order differential equations with tedious particular solution boundaries, while Unit F3 pushes student limits with coordinate geometry integrations and 3D vector proofs. For a strong grade, students must show fluent algebraic accuracy under tight time constraints.

Updated Jun 12, 2026

Paper breakdown

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

75 marks90 min

Top chapters

Further complex numbers (Unit FP2)18 marks
Integration (Unit FP3)16 marks
Further matrix algebra (Unit FP3)16 marks

Exam structure insights

Marks by chapter

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

Matrix algebra integration (Uni5 marks
Complex numbers (Unit FP1)15 marks
Coordinate systems (Unit FP1)13 marks
Transformations using matrices7 marks
Roots of quadratic equations (U9 marks
Numerical solution of equations8 marks
Series (Unit FP1)8 marks
Proof (Unit FP1)10 marks

Mark accessibility

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

69% within easy or medium reach

45
110
70
Easy: 45 marksMedium: 110 marksHard: 70 marks

Command word frequency

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

that18 times
Determine15 times
Solve5 times
Find6 times
Prove4 times
Describe1 times
Sketch1 times
down3 times

Question type mix

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

225Marks
  • Medium Structured

    110·32·49%

  • Long Structured

    60·12·27%

  • Short Answer

    55·25·24%

Study ROI

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

DifficultyRecurrence %Numerical Solution…Complex transforma…Mathematical Induc…Taylor & Maclaurin…First Order Differ…

Next-year prediction

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

Complex Transformations & Loci (FP2)

92%

92%

Mathematical Induction on Divisibility (FP1)

90%

90%

Skew Lines and Shortest Distance (FP3)

88%

88%

Executive Difficulty Verdict

The January 2024 International Advanced Level Further Mathematics (YFM01) series is a formidable test of mathematical stamina and algebraic precision. Further Pure 1 (F1) offers the most accessible path to securing baseline marks, featuring predictable patterns in numerical methods and proof by induction. However, Further Pure 2 (F2) and Further Pure 3 (F3) dramatically escalate in difficulty. Unit F2 introduces highly complex second-order differential equations with tedious particular solution boundaries, while Unit F3 pushes student limits with coordinate geometry integrations and 3D vector proofs. For a strong grade, students must show fluent algebraic accuracy under tight time constraints.

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

FURTHER-MATHEMATICS-YFM01/21 — Pearson Edexcel International A Level Further Mathematics YFM01 (Winter 2024) | Revui