FURTHER-MATHEMATICS-XFM01 · Pearson Edexcel International AS Level
FURTHER-MATHEMATICS-XFM01/12
Paper 1
Further Mathematics XFM01 · Winter 2026 · Variant 2
Relative difficulty
Analysis source: Pearson Edexcel
Analysis aligned to the official syllabus and assessment design.
3.0 / 5
75
90 min
Coordinate systems
Cohort performance
Session statistics from official examination reports
Total marks
75
Duration
90 min
Session difficulty
3.0 / 5
Key examiner messages
Top priorities from the principal examiner before you revise
The January 2026 Further Pure Mathematics F1 (WFM01/01A) paper presents a balanced challenge, combining standard algorithmic procedures with demanding algebraic manipulation.
While questions on numerical methods and basic matrix operations offered accessible marks, the later coordinate geometry and roots of quadratics questions required high precision and deep conceptual understanding, placing the overall difficulty at a solid medium level (3/5 stars).
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
Skill weighting
Shows the skill mix this paper tested most heavily.
Algebraic
Weight: 10100%Rigour
Weight: 990%Logical
Weight: 880%Reasoning
Weight: 770%Geometric Interpretation
Weight: 660%Algorithmic Precise
Weight: 440%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. 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
Match the expected response style for “Find” questions.
Match the expected response style for “that” questions.
Match the expected response style for “Solve” questions.
Match the expected response style for “Prove” questions.
Match the expected response style for “down” questions.
Time traps
Sections where candidates spent disproportionate time relative to marks
Min per mark: 1.7
Min per mark: 1.4
Min per mark: 1.3
Min per mark: 1.2
Min per mark: 1.2
Min per mark: 1.2
Syllabus traceability
Topics linked to questions and mark weighting in this session
Coordinate systems
19 marks this session
Complex numbers
15 marks this session
Roots of quadratic equations
11 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
Coordinate systems
Complex numbers
Transformations using matrices
Proof
Roots of quadratic equations
Numerical solution of equations
Paper comparison
Marks and duration breakdown across papers in this session
Further Pure Mathematics F1 (WFM01/01A):
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
Coordinate systems
19 marks this session
Practise in RevuiComplex numbers
15 marks this session
Practise in RevuiRoots of quadratic equations
11 marks this session
Practise in RevuiSelf-diagnostic checklist
Key actions before you sit this paper — copy and tick off as you revise
- 1Message
The January 2026 Further Pure Mathematics F1 (WFM01/01A) paper presents a balanced challenge, combining standard algorithmic procedures with demanding algebraic manipulation.
- 2Message
While questions on numerical methods and basic matrix operations offered accessible marks, the later coordinate geometry and roots of quadratics questions required high precision and deep conceptual understanding, placing the overall difficulty at a solid medium level (3/5 stars).
Teacher briefing pack
One-page session summary for tutors and classroom review
Winter 2026 2026
Further Mathematics XFM01
The January 2026 Further Pure Mathematics F1 (WFM01/01A) paper presents a balanced challenge, combining standard algorithmic procedures with demanding algebraic manipulation. While questions on numerical methods and basic matrix operations offered accessible marks, the later coor
The January 2026 Further Pure Mathematics F1 (WFM01/01A) paper presents a balanced challenge, combining standard algorithmic procedures with demanding algebraic manipulation.
While questions on numerical methods and basic matrix operations offered accessible marks, the later coordinate geometry and roots of quadratics questions required high precision and deep conceptual understanding, placing the overall difficulty at a solid medium level (3/5 stars).
- Total marks
- 75
- Duration
- 90 min
- Session difficulty
- 3.0 / 5
Session analysis
The January 2026 Further Pure Mathematics F1 (WFM01/01A) paper presents a balanced challenge, combining standard algorithmic procedures with demanding algebraic manipulation. While questions on numerical methods and basic matrix operations offered accessible marks, the later coordinate geometry and roots of quadratics questions required high precision and deep conceptual understanding, placing the overall difficulty at a solid medium level (3/5 stars).
Updated Jun 12, 2026
Paper breakdown
Further Pure Mathematics F1 (WFM01/01A):
Top chapters
Exam structure insights
Marks by chapter
See where the marks were concentrated so revision time goes to the highest-value topics.
Mark accessibility
Estimate which marks were basic, mid-level, or high-difficulty.
69% within easy or medium reach
Command word frequency
Spot common command words so answers match the expected response style.
Question type mix
Compare the mark share of each paper section and question type.
Structured Algebra
37·5·49%
Coordinate Geometry
19·2·25%
Matrix Operations & Transformations
11·2·15%
Numerical & Algorithmic
8·1·11%
Study ROI
Bigger bubbles recur more often; higher bubbles carry more marks, helping you rank revision priorities.
Difficulty trend
Compare difficulty across recent years.
Time vs marks
Compare marks with suggested time allocation to plan exam pacing.
Question 1 (Series
0.80 m/minQuestion 2 (Quartic
0.71 m/minQuestion 3 (Hyperbo
0.86 m/minQuestion 4 (Complex
0.86 m/minQuestion 5 (Roots o
1.00 m/minQuestion 6 (Matrix
0.88 m/minQuestion 7 (Numeric
1.00 m/minQuestion 8 (Parabol
0.60 m/minQuestion 9 (Matrix
0.83 m/minQuestion 10 (Induct
0.83 m/minTotal marks
59
Total time
71 min
Avg pace
0.83
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.
Next-year prediction
Topics worth watching next year, with the reason shown directly below each bar.
Proof by Induction (Divisibility)
85%85%
Coordinate Systems (Hyperbola Normal)
80%80%
Complex Numbers (Loci and Regions)
75%75%
Difficulty Verdict
The January 2026 Further Pure Mathematics F1 (WFM01/01A) paper presents a balanced challenge, combining standard algorithmic procedures with demanding algebraic manipulation. While questions on numerical methods and basic matrix operations offered accessible marks, the later coordinate geometry and roots of quadratics questions required high precision and deep conceptual understanding, placing the overall difficulty at a solid medium level (3/5 stars).
Examiner notes & key calculations
- Matrix Commutative Law: In Q6(b), many candidates incorrectly calculated the matrix X\mathbf{X}X as A−1B\mathbf{A}^{-1}\mathbf{B}A−1B instead of the mathematically correct BA−1\mathbf{B}\mathbf{A}^{-1}BA−1. Because matrix multiplication is non-commutative, this led to immediate algebraic dead-ends.
- Area Scale Factor Powers: In Q9(c), a common misconception was that the area scale factor of a transformation under matrix B=A4\mathbf{B} = \mathbf{A}^4B=A4 is 4×det(A)4 \times \det(\mathbf{A})4×det(A) rather than (det(A))4(\det(\mathbf{A}))^4(det(A))4.
- Strict Inequalities and Exclusions: In Q8(b), candidates lost marks by failing to reject the negative root p=−2/3p = -2/3p=−2/3 despite the question explicitly stating that p>0p > 0p>0.
Analysis is paraphrased for study purposes. Always verify against the official examiner report and mark scheme.