7366 · AQA AS Level
7366/11
Core Pure Mathematics
Further Mathematics · June 2022 · Variant 1
Relative difficulty
Analysis source: AQA
Analysis aligned to the official syllabus and assessment design.
3.5 / 5
80
90 min
Further algebra and functions
Cohort performance
Session statistics from official examination reports
Total marks
80
Duration
90 min
Session difficulty
3.5 / 5
Key examiner messages
Top priorities from the principal examiner before you revise
The absolute core of this paper lies in Further Algebra and Functions, which makes up more than 35% of the total marks.
In particular, rational graph sketching, finding asymptotes, and analyzing quadratic denominators for specific asymptote behaviors (as in Question 14) are high-tariff areas.
Students who master discriminants and quadratic theory in the context of functions can easily secure these marks.
On the other hand, marks are frequently lost on the Proof by Induction question due to poor communication of the inductive hypothesis or failure to write a complete concluding statement.
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: 8100%Conceptual Understanding
Weight: 675%Problem Solving & Reasoning
Weight: 450%Rigour and
Weight: 225%Proof
Weight: 113%
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. 74% of maximum mark
Level B
Approx. 64% of maximum mark
Level C
Approx. 53% of maximum mark
Level D
Approx. 43% of maximum mark
Level E
Approx. 32% 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 “Find” questions.
Give reasons and link mechanism to outcome; each point needs a because/so chain.
Match the expected response style for “Sketch” questions.
Match the expected response style for “induction” questions.
Match the expected response style for “Verify” questions.
Time traps
Sections where candidates spent disproportionate time relative to marks
Min per mark: 1.1
Min per mark: 1.1
Min per mark: 1.1
Min per mark: 1.1
Syllabus traceability
Topics linked to questions and mark weighting in this session
Further algebra and functions
31 marks this session
Complex numbers
10 marks this session
Further vectors
9 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 algebra and functions
Complex numbers
Matrices
Further vectors
Difficulty trend
How session difficulty has shifted across recent years
Paper comparison
Marks and duration breakdown across papers in this session
Paper 1:
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
Further algebra and functions
31 marks this session
Practise in RevuiComplex numbers
10 marks this session
Practise in RevuiFurther vectors
9 marks this session
Practise in RevuiSelf-diagnostic checklist
Key actions before you sit this paper — copy and tick off as you revise
- 1Message
The absolute core of this paper lies in Further Algebra and Functions, which makes up more than 35% of the total marks.
- 2Message
In particular, rational graph sketching, finding asymptotes, and analyzing quadratic denominators for specific asymptote behaviors (as in Question 14) are high-tariff areas.
- 3Message
Students who master discriminants and quadratic theory in the context of functions can easily secure these marks.
- 4Message
On the other hand, marks are frequently lost on the Proof by Induction question due to poor communication of the inductive hypothesis or failure to write a complete concluding statement.
Teacher briefing pack
One-page session summary for tutors and classroom review
June 2022 2022
Further Mathematics
The absolute core of this paper lies in Further Algebra and Functions, which makes up more than 35% of the total marks. In particular, rational graph sketching, finding asymptotes, and analyzing quadratic denominators for specific asymptote behaviors (as in Question 14) are high-
The absolute core of this paper lies in Further Algebra and Functions, which makes up more than 35% of the total marks.
In particular, rational graph sketching, finding asymptotes, and analyzing quadratic denominators for specific asymptote behaviors (as in Question 14) are high-tariff areas.
Students who master discriminants and quadratic theory in the context of functions can easily secure these marks.
- Total marks
- 80
- Duration
- 90 min
- Session difficulty
- 3.5 / 5
Session analysis
The absolute core of this paper lies in Further Algebra and Functions, which makes up more than 35% of the total marks. In particular, rational graph sketching, finding asymptotes, and analyzing quadratic denominators for specific asymptote behaviors (as in Question 14) are high-tariff areas. Students who master discriminants and quadratic theory in the context of functions can easily secure these marks. On the other hand, marks are frequently lost on the Proof by Induction question due to poor communication of the inductive hypothesis or failure to write a complete concluding statement. Loci problems in Complex Numbers also saw significant mark drops where geometric reasoning was required to find maximum bounds.
Updated Jun 17, 2026
Paper breakdown
Paper 1:
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 Long Answer
65·15·81%
Short Answer
11·5·14%
Multiple Choice
4·4·5%
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.
Questions 1-5
0.88 m/minQuestions 6-7
0.88 m/minQuestions 8-10
0.90 m/minQuestions 11-12
0.91 m/minTotal marks
49
Total time
55 min
Avg pace
0.89
Next-year prediction
Topics worth watching next year, with the reason shown directly below each bar.
Hyperbolic calculus and integration
85%85%
Complex roots of unity
75%75%
Examiner notes & key calculations
- Induction Rigor: Always state the base case explicitly, assert the inductive hypothesis clearly for n=k n=k n=k, show the step for n=k+1 n=k+1 n=k+1, and finish with a complete mathematical induction conclusion.
- Tricky Hyperbolic Relationships: In hyperbolic quadratic equations, remember that the sum of the roots of the quadratic equation in sinhθ \sinh \theta sinhθ is sinhθ1+sinhθ2 \sinh \theta_1 + \sinh \theta_2 sinhθ1+sinhθ2, not θ1+θ2 \theta_1 + \theta_2 θ1+θ2. You must solve for θ \theta θ first using logarithmic forms before summing.
- Geometric Loci: For maximum value of ∣w∣ |w| ∣w∣ questions, use exact geometric trigonometry on the Argand diagram rather than guessing algebraic inequalities.
Exam tips
Paper format
- Duration
- 1h 30min
- Total marks
- 80
- Weighting
- 100%
- Question types
- Multiple Choice, Short Written Response, Extended Written Response
Analysis is paraphrased for study purposes. Always verify against the official examiner report and mark scheme.