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7366 · AQA AS Level

7366/11

Core Pure Mathematics

Further Mathematics · June 2023 · Variant 1

Relative difficulty

Standard · 3.4/5

Analysis source: AQA

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

3.4 / 5

Total marks

80

Duration

90 min

Most tested topic

Further algebra and functions

Cohort performance

Session statistics from official examination reports

Total marks

80

Duration

90 min

Session difficulty

3.4 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

This paper presents a moderate, balanced challenge (rated 3 out of 5 stars).

2

It begins with highly accessible single-mark questions that reward basic syllabus recall, but transitions into demanding multi-step algebraic derivations, particularly in the later parts of the rational graphs, induction, and complex number factorization sections.

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

Algebraic Manipulation9
Rigorous7
Proof & Reasoning6
Geometric Interpretation5
Recall & Understanding3
Routine2
Mathematical1

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic ManipulationAlgebraicManipulationRigorousRigorousProof & ReasoningProof &ReasoningGeometric InterpretationGeometricInterpretationRecall & UnderstandingRecall &UnderstandingRoutineRoutineMathematicalMathematical
SkillWeightShare
  • Algebraic Manipulation

    Weight: 9100%
  • Rigorous

    Weight: 778%
  • Proof & Reasoning

    Weight: 667%
  • Geometric Interpretation

    Weight: 556%
  • Recall & Understanding

    Weight: 333%
  • Routine

    Weight: 222%
  • Mathematical

    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

Examiner report — national grade boundaries and question-level commentary

Level A

Approx. 74% of maximum mark

Level B

Approx. 66% of maximum mark

Level C

Approx. 58% of maximum mark

Level D

Approx. 50% of maximum mark

Level E

Approx. 42% 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

thatFrequency: 9

Match the expected response style for “that” questions.

valueFrequency: 6

Match the expected response style for “value” questions.

answerFrequency: 4

Match the expected response style for “answer” questions.

ExplainFrequency: 3

Give reasons and link mechanism to outcome; each point needs a because/so chain.

StateFrequency: 4

Match the expected response style for “State” questions.

ProveFrequency: 1

Match the expected response style for “Prove” questions.

Time traps

Sections where candidates spent disproportionate time relative to marks

Questions 5-8 (Core20m / 18 marks

Min per mark: 1.1

Questions 9-11 (Mat32m / 28 marks

Min per mark: 1.1

Questions 1-4 (Mult4m / 4 marks

Min per mark: 1

Syllabus traceability

Topics linked to questions and mark weighting in this session

Further algebra and functions

27 marks this session

Complex numbers

17 marks this session

Matrices

12 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

LowHigh
Topic
2022
2023
Σ

Further algebra and functions

31
27
58

Complex numbers

10
17
27

Matrices

12
12

Further vectors

9
9

Paper comparison

Marks and duration breakdown across papers in this session

Paper 1 (Core Pure):

80 marks90 min

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

Self-diagnostic checklist

Key actions before you sit this paper — copy and tick off as you revise

  • 1Message

    This paper presents a moderate, balanced challenge (rated 3 out of 5 stars).

  • 2Message

    It begins with highly accessible single-mark questions that reward basic syllabus recall, but transitions into demanding multi-step algebraic derivations, particularly in the later parts of the rational graphs, induction, and complex number factorization sections.

Teacher briefing pack

One-page session summary for tutors and classroom review

June 2023 2023

Further Mathematics

This paper presents a moderate, balanced challenge (rated 3 out of 5 stars). It begins with highly accessible single-mark questions that reward basic syllabus recall, but transitions into demanding multi-step algebraic derivations, particularly in the later parts of the rational

  • This paper presents a moderate, balanced challenge (rated 3 out of 5 stars).

  • It begins with highly accessible single-mark questions that reward basic syllabus recall, but transitions into demanding multi-step algebraic derivations, particularly in the later parts of the rational graphs, induction, and complex number factorization sections.

Total marks
80
Duration
90 min
Session difficulty
3.4 / 5

Session analysis

This paper presents a moderate, balanced challenge (rated 3 out of 5 stars). It begins with highly accessible single-mark questions that reward basic syllabus recall, but transitions into demanding multi-step algebraic derivations, particularly in the later parts of the rational graphs, induction, and complex number factorization sections.

Updated Jun 17, 2026

Paper breakdown

Paper 1 (Core Pure):

80 marks90 min

Top chapters

Further algebra and functions27 marks
Complex numbers17 marks
Matrices12 marks

Exam structure insights

Marks by chapter

See where the marks were concentrated so revision time goes to the highest-value topics.

Further algebra and functions27 marks
Complex numbers17 marks
Matrices12 marks
Polar coordinates8 marks
Further calculus7 marks
Hyperbolic functions4 marks
Proof4 marks
Further vectors1 marks

Mark accessibility

Estimate which marks were basic, mid-level, or high-difficulty.

79% within easy or medium reach

25
38
17
Easy: 25 marksMedium: 38 marksHard: 17 marks

Command word frequency

Spot common command words so answers match the expected response style.

that9 times
value6 times
answer4 times
Explain3 times
State4 times
Prove1 times

Question type mix

Compare the mark share of each paper section and question type.

80Marks
  • Extended Written Response

    48·8·60%

  • Short Written Response

    28·16·35%

  • Multiple Choice

    4·4·5%

Study ROI

Bigger bubbles recur more often; higher bubbles carry more marks, helping you rank revision priorities.

DifficultyRecurrence %Further algebra an…MatricesComplex numbersFurther calculusPolar coordinates

Difficulty trend

Compare difficulty across recent years.

3.520223.42023

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

Questions 1-4 (Mult

1.00 m/min
4
4

Questions 5-8 (Core

0.90 m/min
18
20

Questions 9-11 (Mat

0.88 m/min
28
32

Total marks

50

Total time

56 min

Avg pace

0.89

Next-year prediction

Topics worth watching next year, with the reason shown directly below each bar.

Polar coordinates (Area of loops/sectors)

90%

90%

Further vectors (lines, planes, intersection)

85%

85%

Further calculus (Volumes of revolution)

80%

80%

Difficulty Verdict

This paper presents a moderate, balanced challenge (rated 3 out of 5 stars). It begins with highly accessible single-mark questions that reward basic syllabus recall, but transitions into demanding multi-step algebraic derivations, particularly in the later parts of the rational graphs, induction, and complex number factorization sections.

Examiner notes & key calculations

  • Argand Diagram Quadrants: A major pitfall occurs in complex polar conversions (such as in Q8), where candidates blindly trust their calculators for tan⁡−1 \tan^{-1} tan−1 values without verifying the quadrant on an Argand diagram, leading to an incorrect principal argument.
  • Ignoring Directives: In Q10d, candidates were specifically told to show that the line does not intersect the curve 'without using calculus'. Those who attempted differentiation earned zero marks for this section.
  • Lack of Rigour in Induction: Many lost structural marks in Q13a by failing to state a clear base case, using the variable n n n instead of k k k in their inductive step, or omitting the final concluding logic.

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.

7366/11 — AQA AS Level Further Mathematics (June 2023) | Revui