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9231 · Cambridge International A Level

9231/31

Structured Questions

Mathematics - Further · June 2024 · Variant 1

Relative difficulty

Demanding · 3.8/5
Relative difficulty

3.8 / 5

Total marks

250

Duration

420 min

Most tested topic

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

1

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.

2

Across Papers 11, 21, 31, and 41, candidates encountered a balanced but rigorous spread of topics.

3

Paper 11 (Further Pure 1) and Paper 21 (Further Pure 2) maintain their historical reputation for demanding intense algebraic endurance and precision in calculus.

4

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

Algebraic Manipulation10
Calculus Proficiency8
Mechanical Formulae6
Statistical Inference4
Logical2
Proof and1

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic ManipulationAlgebraicManipulationCalculus ProficiencyCalculusProficiencyMechanical FormulaeMechanicalFormulaeStatistical InferenceStatisticalInferenceLogicalLogicalProof andProof and
SkillWeightShare
  • 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

FindFrequency: 22

Match the expected response style for “Find” questions.

ShowFrequency: 14

Match the expected response style for “Show” questions.

SketchFrequency: 4

Match the expected response style for “Sketch” questions.

TestFrequency: 4

Match the expected response style for “Test” questions.

StateFrequency: 3

Match the expected response style for “State” questions.

DeduceFrequency: 2

Match the expected response style for “Deduce” questions.

ProveFrequency: 1

Match the expected response style for “Prove” questions.

Time traps

Sections where candidates spent disproportionate time relative to marks

Paper 31 (Further M90m / 50 marks

Min per mark: 1.8

Paper 41 (Further P90m / 50 marks

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

LowHigh
Topic
2023
2024
2025
Σ

Integration (Further Pure Mathematics 2)

15
21
16
52

Differential equations (Further Pure Mathematics 2)

18
20
38

Differential equations

20
20

Vectors

16
16

Matrices (Further Pure Mathematics 2)

16
16

Circular motion (Further Mechanics)

16
16

Rational functions and graphs (Further Pure Mathematics 1)

15
15

Paper comparison

Marks and duration breakdown across papers in this session

Paper 11 Further Pure Mathematics 1:

75 marks120 min

Paper 21 Further Pure Mathematics 2:

75 marks120 min

Paper 31 Further Mechanics:

50 marks90 min

Paper 41 Further Probability & Statistics:

50 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

    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:

75 marks120 min

Paper 21 Further Pure Mathematics 2:

75 marks120 min

Paper 31 Further Mechanics:

50 marks90 min

Paper 41 Further Probability & Statistics:

50 marks90 min

Top chapters

Integration (Further Pure Mathematics 2)21 marks
Differential equations (Further Pure Mathematics 2)20 marks
Matrices (Further Pure Mathematics 2)16 marks
Circular motion (Further Mechanics)16 marks

Exam structure insights

Marks by chapter

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

Integration (Further Pure Mathe21 marks
Differential equations (Further20 marks
Matrices (Further Pure Mathemat16 marks
Circular motion (Further Mechan16 marks
Rational functions and graphs (15 marks
Polar coordinates (Further Pure15 marks
Matrices (Further Pure Mathemat13 marks
Non-parametric tests (Further P13 marks

Mark accessibility

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

76% within easy or medium reach

75
115
60
Easy: 75 marksMedium: 115 marksHard: 60 marks

Command word frequency

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

Find22 times
Show14 times
Sketch4 times
Test4 times
State3 times
Deduce2 times
Prove1 times

Question type mix

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

250Marks
  • 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.

DifficultyRecurrence %Probability Genera…Chi-Squared TestProof by InductionRoots of Polynomia…Linear Motion unde…Circular MotionDifferential Equat…

Difficulty trend

Compare difficulty across recent years.

4.520183.820193.82020420214.220223.820233.82024

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

Paper 31 (Further M

0.56 m/min
50
90

Paper 41 (Further P

0.56 m/min
50
90

Total 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.

June 2024

View full examiner insights for this session

View full examiner insights for this session

Analysis is paraphrased for study purposes. Always verify against the official examiner report and mark scheme.

9231/31 — Cambridge International A Level Mathematics - Further (June 2024) | Revui