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9709 · Cambridge International A Level

9709/31

Structured Questions

Mathematics · June 2023 · Variant 1

Relative difficulty

Demanding · 3.6/5

Analysis source: Cambridge Assessment International Education

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

3.6 / 5

Total marks

75

Duration

110 min

Most tested topic

Differentiation

Cohort performance

Session statistics from official examination reports

Total marks

75

Duration

110 min

Session difficulty

3.6 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

The May/June 2023 series of the 9709 Mathematics examination presented a rigorous and comprehensive test of candidates' algebraic fluency, geometric visualization, and calculus applications.

2

The overall difficulty of focus Paper 11 is evaluated as medium-hard (4 stars), as it combined routine procedural tasks with multi-step analytical problems, such as rate-of-change models and tangent/normal coordinate intersections in surd form.

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 Manipulation8
Calculus Application6
Geometric Visualisation4
Logical2
Formulati1

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic ManipulationAlgebraicManipulationCalculus ApplicationCalculusApplicationGeometric VisualisationGeometricVisualisationLogicalLogicalFormulatiFormulati
SkillWeightShare
  • Algebraic Manipulation

    Weight: 8100%
  • Calculus Application

    Weight: 675%
  • Geometric Visualisation

    Weight: 450%
  • Logical

    Weight: 225%
  • Formulati

    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 A

Approx. 69% of maximum mark

Level B

Approx. 60% of maximum mark

Level C

Approx. 48% of maximum mark

Level D

Approx. 36% of maximum mark

Level E

Approx. 24% 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: 10

Match the expected response style for “Find” questions.

thatFrequency: 4

Match the expected response style for “that” questions.

StateFrequency: 3

Match the expected response style for “State” questions.

SolveFrequency: 3

Match the expected response style for “Solve” questions.

SketchFrequency: 1

Match the expected response style for “Sketch” questions.

fullyFrequency: 1

Match the expected response style for “fully” questions.

DetermineFrequency: 1

Match the expected response style for “Determine” questions.

Time traps

Sections where candidates spent disproportionate time relative to marks

Questions 1-4 (Foun25m / 17 marks

Min per mark: 1.5

Questions 5-8 (Func40m / 26 marks

Min per mark: 1.5

Syllabus traceability

Topics linked to questions and mark weighting in this session

Differentiation

18 marks this session

Coordinate geometry

14 marks this session

Functions

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
2023
2024
2025
Σ

Kinematics of motion in a straight line (Mechanics (for Paper 4))

23
20
43

Differentiation

18
18

Differentiation (Pure Mathematics 1 (for Paper 1))

16
16

Differentiation (Pure Mathematics 2 (for Paper 2))

15
15

The Poisson distribution (Probability & Statistics 2 (for Paper 6))

15
15

Integration (Pure Mathematics 2 (for Paper 2))

15
15

Series (Pure Mathematics 1 (for Paper 1))

14
14

Integration (Pure Mathematics 3 (for Paper 3))

14
14

Difficulty trend

How session difficulty has shifted across recent years

202320242025
2023 June 2023 · 3.6/52024 June 2024 · 3.4/52025 June 2025 · 3.5/5

Paper comparison

Marks and duration breakdown across papers in this session

Paper 11 Pure Mathematics 1:

75 marks110 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 2023 series of the 9709 Mathematics examination presented a rigorous and comprehensive test of candidates' algebraic fluency, geometric visualization, and calculus applications.

  • 2Message

    The overall difficulty of focus Paper 11 is evaluated as medium-hard (4 stars), as it combined routine procedural tasks with multi-step analytical problems, such as rate-of-change models and tangent/normal coordinate intersections in surd form.

Teacher briefing pack

One-page session summary for tutors and classroom review

June 2023 2023

Mathematics

The May/June 2023 series of the 9709 Mathematics examination presented a rigorous and comprehensive test of candidates' algebraic fluency, geometric visualization, and calculus applications. The overall difficulty of focus Paper 11 is evaluated as medium-hard (4 stars), as it com

  • The May/June 2023 series of the 9709 Mathematics examination presented a rigorous and comprehensive test of candidates' algebraic fluency, geometric visualization, and calculus applications.

  • The overall difficulty of focus Paper 11 is evaluated as medium-hard (4 stars), as it combined routine procedural tasks with multi-step analytical problems, such as rate-of-change models and tangent/normal coordinate intersections in surd form.

Total marks
75
Duration
110 min
Session difficulty
3.6 / 5

Session analysis

The May/June 2023 series of the 9709 Mathematics examination presented a rigorous and comprehensive test of candidates' algebraic fluency, geometric visualization, and calculus applications. The overall difficulty of focus Paper 11 is evaluated as medium-hard (4 stars), as it combined routine procedural tasks with multi-step analytical problems, such as rate-of-change models and tangent/normal coordinate intersections in surd form.

Updated Jun 12, 2026

Paper breakdown

Paper 11 Pure Mathematics 1:

75 marks110 min

Top chapters

Differentiation18 marks
Coordinate geometry14 marks
Functions12 marks

Exam structure insights

Marks by chapter

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

Differentiation (Pure Mathemati18 marks
Coordinate geometry (Pure Mathe14 marks
Functions (Pure Mathematics 1)12 marks
Series (Pure Mathematics 1)11 marks
Trigonometry (Pure Mathematics8 marks
Integration (Pure Mathematics 1)8 marks
Circular measure (Pure Mathemat4 marks

Mark accessibility

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

76% within easy or medium reach

25
32
18
Easy: 25 marksMedium: 32 marksHard: 18 marks

Command word frequency

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

Find10 times
that4 times
State3 times
Solve3 times
Sketch1 times
fully1 times
Determine1 times

Question type mix

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

75Marks
  • Structured Calculation

    45·7·60%

  • Algebraic Proof / Show That

    16·3·21%

  • Graphical Sketch

    14·2·19%

Study ROI

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

DifficultyRecurrence %Coordinate Geometr…Series (Arithmetic…Functions (Domains…Differentiation Ap…

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

Questions 1-4 (Foun

0.68 m/min
17
25

Questions 5-8 (Func

0.65 m/min
26
40

Total marks

43

Total time

65 min

Avg pace

0.66

Next-year prediction

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

Quadratics with Parameter Roots

85%

85%

Circular Measure Inscribed Polygons

75%

75%

May/June 2023 Series Exam Analysis

The May/June 2023 series of the 9709 Mathematics examination presented a rigorous and comprehensive test of candidates' algebraic fluency, geometric visualization, and calculus applications. The overall difficulty of focus Paper 11 is evaluated as medium-hard (4 stars), as it combined routine procedural tasks with multi-step analytical problems, such as rate-of-change models and tangent/normal coordinate intersections in surd form.

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

9709/31 — Cambridge International A Level Mathematics (June 2023) | Revui