FURTHER-MATHEMATICS-YFM01 · Pearson Edexcel International A Level
FURTHER-MATHEMATICS-YFM01/11
Paper 1
Further Mathematics YFM01 · Winter 2023 · Variant 1
Relative difficulty
Analysis source: Pearson Edexcel
Analysis aligned to the official syllabus and assessment design.
3.8 / 5
150
180 min
Coordinate geometry proofs, loci transformations, and algebraic calculus integration.
Cohort performance
Session statistics from official examination reports
Total marks
150
Duration
180 min
Session difficulty
3.8 / 5
Key examiner messages
Top priorities from the principal examiner before you revise
In FP1, candidates secured high marks on the early questions, including the matrix multiplication in Q1, standard series summations in Q2, and polynomial factorizations in Q3.
However, substantial marks were lost on Q8 (Parabola coordinate proofs) and Q9 (Mathematical induction with logarithmic factorials), where rigorous algebraic justification was required.
In FP2, candidates found Q1 (Maclaurin series of logarithms) highly accessible, but struggled significantly on Q8(b) (determining the polar coordinate bounded area) and Q9 (second-order differential equations substitution proof), where structural errors in differentiation and integration limits caused widespread dropping of marks.
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 Manipulation
Weight: 10100%Calculus & Differentiation
Weight: 880%Geometrical Visualisation
Weight: 660%Complex
Weight: 440%Mapping
Weight: 330%Logical
Weight: 220%Proof
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
Match the expected response style for “that” questions.
Match the expected response style for “Determine” questions.
Match the expected response style for “Solve” questions.
State features in sequence or list observable properties — do not explain causes unless asked.
Match the expected response style for “why” questions.
Match the expected response style for “induction” 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
Coordinate systems (Unit FP1)
20 marks this session
Further complex numbers (Unit FP2)
16 marks this session
Maclaurin and Taylor series (Unit FP2)
15 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
Further complex numbers (Unit FP2)
Integration (Unit FP3)
Coordinate systems (Unit FP1)
Integration (Unit FP3: Further Pure Mathematics 3)
Further complex numbers (Unit FP2: Further Pure Mathematics 2)
Coordinate systems (Unit FP1: Further Pure Mathematics 1)
Further coordinate systems (Unit FP3)
Further matrix algebra (Unit FP3)
Difficulty trend
How session difficulty has shifted across recent years
Paper comparison
Marks and duration breakdown across papers in this session
Further Pure Mathematics F1 (WFM01): Further Pure Mathematics F2 (WFM02):
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 (Unit FP1)
20 marks this session
Practise in RevuiFurther complex numbers (Unit FP2)
16 marks this session
Practise in RevuiMaclaurin and Taylor series (Unit FP2)
15 marks this session
Practise in RevuiSelf-diagnostic checklist
Key actions before you sit this paper — copy and tick off as you revise
- 1Message
In FP1, candidates secured high marks on the early questions, including the matrix multiplication in Q1, standard series summations in Q2, and polynomial factorizations in Q3.
- 2Message
However, substantial marks were lost on Q8 (Parabola coordinate proofs) and Q9 (Mathematical induction with logarithmic factorials), where rigorous algebraic justification was required.
- 3Message
In FP2, candidates found Q1 (Maclaurin series of logarithms) highly accessible, but struggled significantly on Q8(b) (determining the polar coordinate bounded area) and Q9 (second-order differential equations substitution proof), where structural errors in differentiation and integration limits caused widespread dropping of marks.
Teacher briefing pack
One-page session summary for tutors and classroom review
Winter 2023 2023
Further Mathematics YFM01
In FP1, candidates secured high marks on the early questions, including the matrix multiplication in Q1, standard series summations in Q2, and polynomial factorizations in Q3. However, substantial marks were lost on Q8 (Parabola coordinate proofs) and Q9 (Mathematical induction w
In FP1, candidates secured high marks on the early questions, including the matrix multiplication in Q1, standard series summations in Q2, and polynomial factorizations in Q3.
However, substantial marks were lost on Q8 (Parabola coordinate proofs) and Q9 (Mathematical induction with logarithmic factorials), where rigorous algebraic justification was required.
In FP2, candidates found Q1 (Maclaurin series of logarithms) highly accessible, but struggled significantly on Q8(b) (determining the polar coordinate bounded area) and Q9 (second-order differential equations substitution proof), where structural errors in differentiation and integration limits caused widespread dropping of marks.
- Total marks
- 150
- Duration
- 180 min
- Session difficulty
- 3.8 / 5
Session analysis
In FP1, candidates secured high marks on the early questions, including the matrix multiplication in Q1, standard series summations in Q2, and polynomial factorizations in Q3. However, substantial marks were lost on Q8 (Parabola coordinate proofs) and Q9 (Mathematical induction with logarithmic factorials), where rigorous algebraic justification was required. In FP2, candidates found Q1 (Maclaurin series of logarithms) highly accessible, but struggled significantly on Q8(b) (determining the polar coordinate bounded area) and Q9 (second-order differential equations substitution proof), where structural errors in differentiation and integration limits caused widespread dropping of marks.
Updated Jun 12, 2026
Paper breakdown
Further Pure Mathematics F1 (WFM01): Further Pure Mathematics F2 (WFM02):
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.
73% 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.
Solve / Calculate / Determine
112·10·75%
Show / Prove
38·8·25%
Study ROI
Bigger bubbles recur more often; higher bubbles carry more marks, helping you rank revision priorities.
Next-year prediction
Topics worth watching next year, with the reason shown directly below each bar.
Taylor Series about non-zero center points
85%85%
Numerical integration (Trapezium Rule)
75%75%
Examiner notes & key calculations
- Newton-Raphson Boundaries: In FP1 Q4(a)(ii), many candidates failed to explain that f′(0.25)=0 f'(0.25) = 0 f′(0.25)=0 would result in a division-by-zero error, rendering the initial approximation invalid.
- Geometric Normal Slopes: In coordinate systems (FP1 Q6), a frequent error was using the tangent gradient directly in the normal equation, or dropping negative signs during negative-reciprocal calculations.
- Trigonometric Identities in Polar Integrals: In FP2 Q8(b), several candidates omitted the standard 12 \frac{1}{2} 21 factor from the polar area formula A=12∫r2dθ A = \frac{1}{2}\int r^2 d\theta A=21∫r2dθ or failed to separate the area of the bounding triangle from the curve segment.
- Product Rule in Complex Loci: In FP2 Q6, transforming absolute inequalities to Cartesian coordinates often led to algebraic errors due to a failure to cleanly isolate the real and imaginary parts before applying Pythagoras.
Analysis is paraphrased for study purposes. Always verify against the official examiner report and mark scheme.