9231 · Cambridge International A Level
9231/31
Structured Questions
Mathematics - Further · June 2025 · Variant 1
Relative difficulty
Analysis source: Cambridge Assessment International Education
Analysis aligned to the official syllabus and assessment design.
4.0 / 5
250
420 min
Differential equations
Cohort performance
Session statistics from official examination reports
Total marks
250
Duration
420 min
Session difficulty
4.0 / 5
Key examiner messages
Top priorities from the principal examiner before you revise
Rigorous and well-structured examination series testing deep algebraic manipulation, exact calculus methods, applied multi-stage mechanics, and detailed non-parametric statistical tests.
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: 9100%Calculus and
Weight: 778%Geometric Reasoning
Weight: 667%Statistical Inference
Weight: 444%Mathematical
Weight: 222%Proof
Weight: 111%
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. 84% of maximum mark
Level A
Approx. 70% of maximum mark
Level B
Approx. 56% of maximum mark
Level C
Approx. 47% of maximum mark
Level D
Approx. 38% of maximum mark
Level E
Approx. 28% 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 “Sketch” questions.
Match the expected response style for “Deduce” questions.
Match the expected response style for “Prove” questions.
Match the expected response style for “Verify” questions.
Match the expected response style for “State” questions.
Match the expected response style for “Comment” 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
Differential equations
20 marks this session
Integration (Further Pure Mathematics 2)
16 marks this session
Vectors
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
Differential equations
20 marks this session
Practise in RevuiIntegration (Further Pure Mathematics 2)
16 marks this session
Practise in RevuiVectors
16 marks this session
Practise in RevuiSelf-diagnostic checklist
Key actions before you sit this paper — copy and tick off as you revise
- 1Message
Rigorous and well-structured examination series testing deep algebraic manipulation, exact calculus methods, applied multi-stage mechanics, and detailed non-parametric statistical tests.
Teacher briefing pack
One-page session summary for tutors and classroom review
June 2025 2025
Mathematics - Further
Rigorous and well-structured examination series testing deep algebraic manipulation, exact calculus methods, applied multi-stage mechanics, and detailed non-parametric statistical tests.
Rigorous and well-structured examination series testing deep algebraic manipulation, exact calculus methods, applied multi-stage mechanics, and detailed non-parametric statistical tests.
- Total marks
- 250
- Duration
- 420 min
- Session difficulty
- 4.0 / 5
Session analysis
Rigorous and well-structured examination series testing deep algebraic manipulation, exact calculus methods, applied multi-stage mechanics, and detailed non-parametric statistical tests.
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.
80% 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.
Long Structured
120·10·48%
Medium Structured
97·12·39%
Short Answer
33·6·13%
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.
Matrices (Paper 1)
95%95%
Proof by induction
90%90%
Non-parametric tests
85%85%
Analysis is paraphrased for study purposes. Always verify against the official examiner report and mark scheme.