9231 · Cambridge International A Level
9231/41
Structured Questions
Mathematics - Further · June 2024 · Variant 1
Relative difficulty
Analysis source: Cambridge Assessment International Education
Analysis aligned to the official syllabus and assessment design.
3.8 / 5
250
420 min
Integration and Differential Equations
Cohort performance
Session statistics from official examination reports
Total marks
250
Duration
420 min
Session difficulty
3.8 / 5
Key examiner messages
Top priorities from the principal examiner before you revise
The May/June 2024 examination series for Cambridge International A Level Further Mathematics (9231) presents a robust challenge, testing both foundational clarity and advanced problem-solving resilience.
Across Papers 11, 21, 31, and 41, candidates encountered a balanced but rigorous spread of topics.
Paper 11 (Further Pure 1) and Paper 21 (Further Pure 2) maintain their historical reputation for demanding intense algebraic endurance and precision in calculus.
Paper 31 (Further Mechanics) and Paper 41 (Further Probability & Statistics) demanded clear conceptual formulation and structured hypothesis testing.
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 Proficiency
Weight: 880%Mechanical Formulae
Weight: 660%Statistical Inference
Weight: 440%Logical
Weight: 220%Proof and
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
Cambridge Principal Examiner Report — component performance and international standards
Level A*
Approx. 86% of maximum mark
Level A
Approx. 73% of maximum mark
Level B
Approx. 58% of maximum mark
Level C
Approx. 49% of maximum mark
Level D
Approx. 40% of maximum mark
Level E
Approx. 31% 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 “Show” questions.
Match the expected response style for “Sketch” questions.
Match the expected response style for “Test” questions.
Match the expected response style for “State” questions.
Match the expected response style for “Deduce” questions.
Match the expected response style for “Prove” questions.
Time traps
Sections where candidates spent disproportionate time relative to marks
Min per mark: 1.8
Min per mark: 1.8
Syllabus traceability
Topics linked to questions and mark weighting in this session
Integration (Further Pure Mathematics 2)
21 marks this session
Differential equations (Further Pure Mathematics 2)
20 marks this session
Matrices (Further Pure Mathematics 2)
16 marks this session
Circular motion (Further Mechanics)
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
Integration (Further Pure Mathematics 2)
Differential equations (Further Pure Mathematics 2)
Differential equations
Vectors
Matrices (Further Pure Mathematics 2)
Circular motion (Further Mechanics)
Rational functions and graphs (Further Pure Mathematics 1)
Paper comparison
Marks and duration breakdown across papers in this session
Paper 11 Further Pure Mathematics 1:
Paper 21 Further Pure Mathematics 2:
Paper 31 Further Mechanics:
Paper 41 Further Probability & Statistics:
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
Integration (Further Pure Mathematics 2)
21 marks this session
Practise in RevuiDifferential equations (Further Pure Mathematics 2)
20 marks this session
Practise in RevuiMatrices (Further Pure Mathematics 2)
16 marks this session
Practise in RevuiCircular motion (Further Mechanics)
16 marks this session
Practise in RevuiSelf-diagnostic checklist
Key actions before you sit this paper — copy and tick off as you revise
- 1Message
The May/June 2024 examination series for Cambridge International A Level Further Mathematics (9231) presents a robust challenge, testing both foundational clarity and advanced problem-solving resilience.
- 2Message
Across Papers 11, 21, 31, and 41, candidates encountered a balanced but rigorous spread of topics.
- 3Message
Paper 11 (Further Pure 1) and Paper 21 (Further Pure 2) maintain their historical reputation for demanding intense algebraic endurance and precision in calculus.
- 4Message
Paper 31 (Further Mechanics) and Paper 41 (Further Probability & Statistics) demanded clear conceptual formulation and structured hypothesis testing.
Teacher briefing pack
One-page session summary for tutors and classroom review
June 2024 2024
Mathematics - Further
The May/June 2024 examination series for Cambridge International A Level Further Mathematics (9231) presents a robust challenge, testing both foundational clarity and advanced problem-solving resilience. Across Papers 11, 21, 31, and 41, candidates encountered a balanced but rigo
The May/June 2024 examination series for Cambridge International A Level Further Mathematics (9231) presents a robust challenge, testing both foundational clarity and advanced problem-solving resilience.
Across Papers 11, 21, 31, and 41, candidates encountered a balanced but rigorous spread of topics.
Paper 11 (Further Pure 1) and Paper 21 (Further Pure 2) maintain their historical reputation for demanding intense algebraic endurance and precision in calculus.
- Total marks
- 250
- Duration
- 420 min
- Session difficulty
- 3.8 / 5
Session analysis
The May/June 2024 examination series for Cambridge International A Level Further Mathematics (9231) presents a robust challenge, testing both foundational clarity and advanced problem-solving resilience. Across Papers 11, 21, 31, and 41, candidates encountered a balanced but rigorous spread of topics. Paper 11 (Further Pure 1) and Paper 21 (Further Pure 2) maintain their historical reputation for demanding intense algebraic endurance and precision in calculus. Paper 31 (Further Mechanics) and Paper 41 (Further Probability & Statistics) demanded clear conceptual formulation and structured hypothesis testing. Overall, this series is a classic representation of the 9231 syllabus, rewarding candidates who show a deep understanding of standard algebraic techniques alongside strong geometric and statistical intuition.
Updated Jun 12, 2026
Paper breakdown
Paper 11 Further Pure Mathematics 1:
Paper 21 Further Pure Mathematics 2:
Paper 31 Further Mechanics:
Paper 41 Further Probability & Statistics:
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.
76% 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 Calculation / Algebra
134·26·54%
Show / Prove
56·12·22%
Statistical Hypothesis Testing
34·5·14%
Integration by Parts / Substitution
15·3·6%
Sketching & Graphing
11·5·4%
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.
Paper 31 (Further M
0.56 m/minPaper 41 (Further P
0.56 m/minTotal marks
100
Total time
180 min
Avg pace
0.56
Next-year prediction
Topics worth watching next year, with the reason shown directly below each bar.
Complex Numbers - Loci and Regions on the Argand Diagram
5%5%
Further Pure 1 - Linear Space Transformations / 3D Geometry
4%4%
Further Mechanics - Elastic Collisions in 2D with Wall Barriers
4%4%
May/June 2024 Series Difficulty Verdict
The May/June 2024 examination series for Cambridge International A Level Further Mathematics (9231) presents a robust challenge, testing both foundational clarity and advanced problem-solving resilience. Across Papers 11, 21, 31, and 41, candidates encountered a balanced but rigorous spread of topics. Paper 11 (Further Pure 1) and Paper 21 (Further Pure 2) maintain their historical reputation for demanding intense algebraic endurance and precision in calculus. Paper 31 (Further Mechanics) and Paper 41 (Further Probability & Statistics) demanded clear conceptual formulation and structured hypothesis testing. Overall, this series is a classic representation of the 9231 syllabus, rewarding candidates who show a deep understanding of standard algebraic techniques alongside strong geometric and statistical intuition.
Analysis is paraphrased for study purposes. Always verify against the official examiner report and mark scheme.