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9231 · Cambridge International AS Level

9231/22

Further Pure Mathematics 2

Mathematics - Further · June 2024 · Variant 2

Relative difficulty

Demanding · 4.0/5
Relative difficulty

4.0 / 5

Total marks

150

Duration

240 min

Most tested topic

Calculus and Differential Equations

Cohort performance

Session statistics from official examination reports

Total marks

150

Duration

240 min

Session difficulty

4.0 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

The May/June 2024 sitting for Further Mathematics (9231/12 and 9231/22) represents a high-caliber assessment, demanding an exceptional level of algebraic stamina, rigorous proof formulation, and geometric insight.

2

With a difficulty index of 4 out of 5, students had to navigate multi-layered questions where a single slip in the early stages could derail subsequent high-value marks.

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 Precision8
Calculus6
Mechanics5
Proof & Reasoning4
Rigour3
Spatial /2
Diagram1

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic PrecisionAlgebraicPrecisionCalculusCalculusMechanicsMechanicsProof & ReasoningProof &ReasoningRigourRigourSpatial /Spatial /DiagramDiagram
SkillWeightShare
  • Algebraic Precision

    Weight: 8100%
  • Calculus

    Weight: 675%
  • Mechanics

    Weight: 563%
  • Proof & Reasoning

    Weight: 450%
  • Rigour

    Weight: 338%
  • Spatial /

    Weight: 225%
  • Diagram

    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

Cambridge Principal Examiner Report — component performance and international standards

Level A

Approx. 79% of maximum mark

Level B

Approx. 60% of maximum mark

Level C

Approx. 52% of maximum mark

Level D

Approx. 43% of maximum mark

Level E

Approx. 34% 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: 14

Match the expected response style for “Find” questions.

ShowFrequency: 11

Match the expected response style for “Show” questions.

ProveFrequency: 3

Match the expected response style for “Prove” questions.

SketchFrequency: 3

Match the expected response style for “Sketch” questions.

VerifyFrequency: 1

Match the expected response style for “Verify” questions.

DeduceFrequency: 2

Match the expected response style for “Deduce” questions.

Time traps

Sections where candidates spent disproportionate time relative to marks

P1 Q1-3 (Pure Algeb20m / 10 marks

Min per mark: 2

P2 Q6-7 (Differenti40m / 24 marks

Min per mark: 1.7

P1 Q4-5 (Matrices &40m / 25 marks

Min per mark: 1.6

P1 Q6-7 (Rational &48m / 30 marks

Min per mark: 1.6

P2 Q1-3 (Complex &25m / 16 marks

Min per mark: 1.6

P2 Q4-5 (Riemann In30m / 19 marks

Min per mark: 1.6

Syllabus traceability

Topics linked to questions and mark weighting in this session

Integration

21 marks this session

Differential equations

20 marks this session

Matrices (Further Pure 2)

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

Differential equations (Further Pure Mathematics 2)

18
24
42

Integration (Further Pure Mathematics 2)

23
19
42

Matrices (Further Pure Mathematics 2)

15
16
31

Differential equations

20
20

Integration

16
16

Vectors

16
16

Rational functions and graphs

15
15

Hyperbolic functions

15
15

Paper comparison

Marks and duration breakdown across papers in this session

Paper 1 Further Pure Mathematics 1 (9231/12):

75 marks120 min

Paper 2 Further Pure Mathematics 2 (9231/22):

75 marks120 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 sitting for Further Mathematics (9231/12 and 9231/22) represents a high-caliber assessment, demanding an exceptional level of algebraic stamina, rigorous proof formulation, and geometric insight.

  • 2Message

    With a difficulty index of 4 out of 5, students had to navigate multi-layered questions where a single slip in the early stages could derail subsequent high-value marks.

Teacher briefing pack

One-page session summary for tutors and classroom review

June 2024 2024

Mathematics - Further

The May/June 2024 sitting for Further Mathematics (9231/12 and 9231/22) represents a high-caliber assessment, demanding an exceptional level of algebraic stamina, rigorous proof formulation, and geometric insight. With a difficulty index of 4 out of 5, students had to navigate mu

  • The May/June 2024 sitting for Further Mathematics (9231/12 and 9231/22) represents a high-caliber assessment, demanding an exceptional level of algebraic stamina, rigorous proof formulation, and geometric insight.

  • With a difficulty index of 4 out of 5, students had to navigate multi-layered questions where a single slip in the early stages could derail subsequent high-value marks.

Total marks
150
Duration
240 min
Session difficulty
4.0 / 5

Session analysis

The May/June 2024 sitting for Further Mathematics (9231/12 and 9231/22) represents a high-caliber assessment, demanding an exceptional level of algebraic stamina, rigorous proof formulation, and geometric insight. With a difficulty index of 4 out of 5, students had to navigate multi-layered questions where a single slip in the early stages could derail subsequent high-value marks.

Updated Jun 12, 2026

Paper breakdown

Paper 1 Further Pure Mathematics 1 (9231/12):

75 marks120 min

Paper 2 Further Pure Mathematics 2 (9231/22):

75 marks120 min

Top chapters

Integration21 marks
Differential equations20 marks
Matrices (Further Pure 2)16 marks

Exam structure insights

Marks by chapter

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

Integration21 marks
Differential equations20 marks
Matrices (Further Pure 2)16 marks
Rational functions and graphs15 marks
Polar coordinates15 marks
Matrices (Further Pure 1)13 marks
Vectors12 marks
Differentiation11 marks

Mark accessibility

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

75% within easy or medium reach

45
68
37
Easy: 45 marksMedium: 68 marksHard: 37 marks

Command word frequency

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

Find14 times
Show11 times
Prove3 times
Sketch3 times
Verify1 times
Deduce2 times

Question type mix

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

150Marks
  • Calculus / Integration Steps

    44·4·29%

  • Algebraic Calculation

    36·5·24%

  • Graph / Curve Sketching

    36·2·24%

  • Structured Proof / Induction

    34·4·23%

Study ROI

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

DifficultyRecurrence %Roots of polynomia…Proof by inductionVectorsDifferential equat…

Difficulty trend

Compare difficulty across recent years.

3.820173.520183.62019420203.820213.820224.2202342024

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

P1 Q1-3 (Pure Algeb

0.50 m/min
10
20

P1 Q4-5 (Matrices &

0.63 m/min
25
40

P1 Q6-7 (Rational &

0.63 m/min
30
48

P2 Q1-3 (Complex &

0.64 m/min
16
25

P2 Q4-5 (Riemann In

0.63 m/min
19
30

P2 Q6-7 (Differenti

0.60 m/min
24
40

P2 Q8 (Matrices)

0.64 m/min
16
25

Total marks

140

Total time

228 min

Avg pace

0.61

Next-year prediction

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

Polar Coordinate Arc Lengths

85%

85%

3D Lines and Planes Intersection

78%

78%

Difficulty Verdict

The May/June 2024 sitting for Further Mathematics (9231/12 and 9231/22) represents a high-caliber assessment, demanding an exceptional level of algebraic stamina, rigorous proof formulation, and geometric insight. With a difficulty index of 4 out of 5, students had to navigate multi-layered questions where a single slip in the early stages could derail subsequent high-value marks.

Exam tips

Paper format

Duration
2h
Total marks
75
Weighting
50%
Question types
Structured Questions

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.

9231/22 — Cambridge International AS Level Mathematics - Further (June 2024) | Revui