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9231 · Cambridge International A Level

9231/33

Structured Questions

Mathematics - Further · June 2024 · Variant 3

Relative difficulty

Demanding · 3.8/5

Analysis source: Cambridge Assessment International Education

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

3.8 / 5

Total marks

250

Duration

420 min

Most tested topic

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 Summer 2024 examination papers for CIE A Level Further Mathematics (9231) presented a balanced but challenging test of candidates' algebraic precision, geometric reasoning, and theoretical understanding across all four papers.

2

The questions were highly structured, testing both core procedural workflows and deep conceptual grasp.

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 & Differentiation8
Integration Geometric / Sketching7
Statistical Hypothesis4
Mechanical Modelling2

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic ManipulationAlgebraicManipulationCalculus & DifferentiationCalculus &DifferentiationIntegration Geometric / SketchingIntegrationGeometric /Statistical HypothesisStatisticalHypothesisMechanical ModellingMechanicalModelling
SkillWeightShare
  • Algebraic Manipulation

    Weight: 10100%
  • Calculus & Differentiation

    Weight: 880%
  • Integration Geometric / Sketching

    Weight: 770%
  • Statistical Hypothesis

    Weight: 440%
  • Mechanical Modelling

    Weight: 220%

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. 88% of maximum mark

Level A

Approx. 77% of maximum mark

Level B

Approx. 61% of maximum mark

Level C

Approx. 51% of maximum mark

Level D

Approx. 40% of maximum mark

Level E

Approx. 30% 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: 16

Match the expected response style for “that” questions.

FindFrequency: 18

Match the expected response style for “Find” questions.

SketchFrequency: 4

Match the expected response style for “Sketch” questions.

TestFrequency: 3

Match the expected response style for “Test” 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 33 Further Me90m / 50 marks

Min per mark: 1.8

Paper 43 Further Pr90m / 50 marks

Min per mark: 1.8

Syllabus traceability

Topics linked to questions and mark weighting in this session

Differential equations (Further Pure Mathematics 2)

19 marks this session

Inference using normal and t-distributions

17 marks this session

Polar coordinates (Further Pure Mathematics 1)

16 marks this session

Matrices (Further Pure Mathematics 1)

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 1 Further Pure Mathematics 1 (9231/13):

75 marks120 min

Paper 2 Further Pure Mathematics 2 (9231/23):

75 marks120 min

Paper 3 Further Mechanics (9231/33):

50 marks90 min

Paper 4 Further Probability & Statistics (9231/43):

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 Summer 2024 examination papers for CIE A Level Further Mathematics (9231) presented a balanced but challenging test of candidates' algebraic precision, geometric reasoning, and theoretical understanding across all four papers.

  • 2Message

    The questions were highly structured, testing both core procedural workflows and deep conceptual grasp.

Teacher briefing pack

One-page session summary for tutors and classroom review

June 2024 2024

Mathematics - Further

The Summer 2024 examination papers for CIE A Level Further Mathematics (9231) presented a balanced but challenging test of candidates' algebraic precision, geometric reasoning, and theoretical understanding across all four papers. The questions were highly structured, testing bot

  • The Summer 2024 examination papers for CIE A Level Further Mathematics (9231) presented a balanced but challenging test of candidates' algebraic precision, geometric reasoning, and theoretical understanding across all four papers.

  • The questions were highly structured, testing both core procedural workflows and deep conceptual grasp.

Total marks
250
Duration
420 min
Session difficulty
3.8 / 5

Session analysis

The Summer 2024 examination papers for CIE A Level Further Mathematics (9231) presented a balanced but challenging test of candidates' algebraic precision, geometric reasoning, and theoretical understanding across all four papers. The questions were highly structured, testing both core procedural workflows and deep conceptual grasp.

Updated Jun 12, 2026

Paper breakdown

Paper 1 Further Pure Mathematics 1 (9231/13):

75 marks120 min

Paper 2 Further Pure Mathematics 2 (9231/23):

75 marks120 min

Paper 3 Further Mechanics (9231/33):

50 marks90 min

Paper 4 Further Probability & Statistics (9231/43):

50 marks90 min

Top chapters

Differential equations (Further Pure Mathematics 2)19 marks
Inference using normal and t-distributions17 marks
Polar coordinates (Further Pure Mathematics 1)16 marks
Matrices (Further Pure Mathematics 1)16 marks

Exam structure insights

Marks by chapter

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

Matrices (Further Pure Mathemat16 marks
Roots of polynomial equations (7 marks
Proof by induction (Further Pur5 marks
Summation of series (Further Pu8 marks
Vectors (Further Pure Mathemati15 marks
Rational functions and graphs (13 marks
Polar coordinates (Further Pure16 marks
Integration (Further Pure Mathe15 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.

that16 times
Find18 times
Sketch4 times
Test3 times
Deduce2 times
Prove1 times

Question type mix

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

250Marks
  • Structured Algebra / Show-That

    115·22·46%

  • Statistical Inference & Multi-Step Modeling

    60·10·24%

  • Short Answer / Direct Calculation

    55·18·22%

  • Graph Sketching & Geometric Interpretations

    20·6·8%

Study ROI

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

DifficultyRecurrence %Polar coordinatesInference using no…Matrices (Further …Differential equat…

Difficulty trend

Compare difficulty across recent years.

4.520163.820173.82018420194.220203.820213.820224.220233.82024

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

Paper 33 Further Me

0.56 m/min
50
90

Paper 43 Further Pr

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.

Proof by Induction (with Matrices/Inequalities)

85%

85%

Wilcoxon Signed-Rank Test (Single / Paired)

80%

80%

Hyperbolic Functions (Integration & Identities)

75%

75%

May/June 2024 Exam Analysis

The Summer 2024 examination papers for CIE A Level Further Mathematics (9231) presented a balanced but challenging test of candidates' algebraic precision, geometric reasoning, and theoretical understanding across all four papers. The questions were highly structured, testing both core procedural workflows and deep conceptual grasp.

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.

9231/33 — Cambridge International A Level Mathematics - Further (June 2024) | Revui