7367 · AQA A Level
7367/21
(Core Pure)
Further Mathematics · June 2022 · Variant 1
Relative difficulty
Analysis source: AQA
Analysis aligned to the official syllabus and assessment design.
3.8 / 5
200
240 min
Differential Equations
Cohort performance
Session statistics from official examination reports
Total marks
200
Duration
240 min
Session difficulty
3.8 / 5
Key examiner messages
Top priorities from the principal examiner before you revise
This set of papers is classified as Medium-Hard (4 stars).
While the early sections of both Papers 1 and 2 offer accessible marks through standard procedural questions (such as eigenvalues and hyperbolic derivatives), the long-structured questions on damped harmonic motion and the roots of unity require deep conceptual integration and advanced algebraic confidence.
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: 4100%Mathematical Modeling
Weight: 375%Geometric Visualisation
Weight: 250%Rigorous Proof & Reasoning
Weight: 125%
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. 63% of maximum mark
Level A
Approx. 51% of maximum mark
Level B
Approx. 41% of maximum mark
Level C
Approx. 31% of maximum mark
Level D
Approx. 22% of maximum mark
Level E
Approx. 12% 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 “Show” questions.
Match the expected response style for “Find” questions.
Match the expected response style for “Solve” questions.
Give reasons and link mechanism to outcome; each point needs a because/so chain.
Show formula, substitution, and unit; method marks need visible working.
Match the expected response style for “Sketch” questions.
Match the expected response style for “Prove” questions.
Time traps
Sections where candidates spent disproportionate time relative to marks
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
Differential equations (Compulsory content)
43 marks this session
Complex numbers (Compulsory content)
36 marks this session
Matrices (Compulsory content)
35 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
Complex numbers
Differential equations (Compulsory content)
Complex numbers (Compulsory content)
Matrices (Compulsory content)
Matrices
Differential equations
Difficulty trend
How session difficulty has shifted across recent years
Paper comparison
Marks and duration breakdown across papers in this session
Paper 1 (Core Pure):
Paper 2 (Core Pure):
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 (Compulsory content)
43 marks this session
Practise in RevuiComplex numbers (Compulsory content)
36 marks this session
Practise in RevuiMatrices (Compulsory content)
35 marks this session
Practise in RevuiSelf-diagnostic checklist
Key actions before you sit this paper — copy and tick off as you revise
- 1Message
This set of papers is classified as Medium-Hard (4 stars).
- 2Message
While the early sections of both Papers 1 and 2 offer accessible marks through standard procedural questions (such as eigenvalues and hyperbolic derivatives), the long-structured questions on damped harmonic motion and the roots of unity require deep conceptual integration and advanced algebraic confidence.
Teacher briefing pack
One-page session summary for tutors and classroom review
June 2022 2022
Further Mathematics
This set of papers is classified as Medium-Hard (4 stars). While the early sections of both Papers 1 and 2 offer accessible marks through standard procedural questions (such as eigenvalues and hyperbolic derivatives), the long-structured questions on damped harmonic motion and th
This set of papers is classified as Medium-Hard (4 stars).
While the early sections of both Papers 1 and 2 offer accessible marks through standard procedural questions (such as eigenvalues and hyperbolic derivatives), the long-structured questions on damped harmonic motion and the roots of unity require deep conceptual integration and advanced algebraic confidence.
- Total marks
- 200
- Duration
- 240 min
- Session difficulty
- 3.8 / 5
Session analysis
This set of papers is classified as Medium-Hard (4 stars). While the early sections of both Papers 1 and 2 offer accessible marks through standard procedural questions (such as eigenvalues and hyperbolic derivatives), the long-structured questions on damped harmonic motion and the roots of unity require deep conceptual integration and advanced algebraic confidence.
Updated Jun 17, 2026
Paper breakdown
Paper 1 (Core Pure):
Paper 2 (Core Pure):
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.
Long / Complex
82·6·41%
Medium / Structured
65·12·33%
Short Answer
45·15·23%
Multiple Choice / Short Fill
8·8·4%
Study ROI
Bigger bubbles recur more often; higher bubbles carry more marks, helping you rank revision priorities.
Time vs marks
Compare marks with suggested time allocation to plan exam pacing.
Paper 1 Section A (…
0.83 m/minPaper 1 Section B (…
0.83 m/minPaper 2 Section A (…
0.83 m/minTotal marks
175
Total time
210 min
Avg pace
0.83
Next-year prediction
Topics worth watching next year, with the reason shown directly below each bar.
Proof by Induction with Matrices
80%80%
Intersection of Three Planes (Geometric interpretation)
75%75%
Difficulty Verdict
This set of papers is classified as Medium-Hard (4 stars). While the early sections of both Papers 1 and 2 offer accessible marks through standard procedural questions (such as eigenvalues and hyperbolic derivatives), the long-structured questions on damped harmonic motion and the roots of unity require deep conceptual integration and advanced algebraic confidence.
Where the Marks Are
The largest mark allocations lie within Differential Equations (43 marks) and Complex Numbers (36 marks). Students who mastered coupled differential equations, the integration of rational functions for volumes of revolution, and the geometric applications of complex conjugates on Argand diagrams were able to secure more than half of the available marks on the papers.
Examiner notes & key calculations
- Angle Between Line and Plane (Vector Q10a): A common pitfall was failing to relate the line-plane angle correctly, with many using the cosine of the angle between the line direction and the plane normal instead of sinα=cosθ\sin \alpha = \cos \thetasinα=cosθ.
- Polar Integration Limits (Q9b): Many students failed to recognize that for r2=9sin(2θ)r^2 = 9\sin(2\theta)r2=9sin(2θ), the integrand is only defined when sin(2θ)≥0\sin(2\theta) \ge 0sin(2θ)≥0, resulting in incorrect integration bounds.
- Signs in Elastic String Equations (Q11a): Incorrect sign conventions for string tension forces on an inclined plane frequently prevented candidates from successfully deriving the simple harmonic motion equation.
Exam tips
Paper format
- Duration
- 2h
- Total marks
- 100
- Weighting
- 50%
- Question types
- Multiple Choice / Tick Box, Structured Questions
Analysis is paraphrased for study purposes. Always verify against the official examiner report and mark scheme.