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9709 · Cambridge International A Level

9709/31

Structured Questions

Mathematics · June 2025 · Variant 1

Relative difficulty

Demanding · 3.5/5

Analysis source: Cambridge Assessment International Education

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

3.5 / 5

Total marks

350

Duration

520 min

Most tested topic

Kinematics of motion in a straight line

Cohort performance

Session statistics from official examination reports

Total marks

350

Duration

520 min

Session difficulty

3.5 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

The May/June 2025 Cambridge International AS & A Level Mathematics papers present a balanced yet rigorous assessment across all core components.

2

Maintaining a solid baseline of standard procedural tests, the examiners have cleverly integrated non-routine elements that separate the top candidates.

3

Overall, the papers represent a standard-to-challenging difficulty curve, requiring not only absolute accuracy but also profound conceptual flexibility.

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 Application8
Geometric Reasoning6
Statistical Analysis4
Physical2
Modelling1

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic ManipulationAlgebraicManipulationCalculus ApplicationCalculusApplicationGeometric ReasoningGeometricReasoningStatistical AnalysisStatisticalAnalysisPhysicalPhysicalModellingModelling
SkillWeightShare
  • Algebraic Manipulation

    Weight: 10100%
  • Calculus Application

    Weight: 880%
  • Geometric Reasoning

    Weight: 660%
  • Statistical Analysis

    Weight: 440%
  • Physical

    Weight: 220%
  • Modelling

    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. 90% of maximum mark

Level A

Approx. 79% of maximum mark

Level B

Approx. 68% of maximum mark

Level C

Approx. 53% of maximum mark

Level D

Approx. 38% of maximum mark

Level E

Approx. 23% of maximum mark

Deep insights

What top candidates did

Techniques and approaches examiners rewarded in this series

May/June 2025 Series Analysis

The May/June 2025 Cambridge International AS & A Level Mathematics papers present a balanced yet rigorous assessment across all core components. Maintaining a solid baseline of standard procedural tests, the examiners have cleverly integrated non-routine elements that separate the top candidates. Overall, the papers represent a standard-to-challenging difficulty curve, requiring not only absolute

Command word playbook

How to match each command word to the expected response style

SolveFrequency: 32

Match the expected response style for “Solve” questions.

ProveFrequency: 15

Match the expected response style for “Prove” questions.

SketchFrequency: 6

Match the expected response style for “Sketch” questions.

VerifyFrequency: 12

Match the expected response style for “Verify” questions.

Time traps

Sections where candidates spent disproportionate time relative to marks

Paper 1140m / 20 marks

Min per mark: 2

Paper 2175m / 50 marks

Min per mark: 1.5

Paper 4175m / 50 marks

Min per mark: 1.5

Paper 5175m / 50 marks

Min per mark: 1.5

Paper 6175m / 50 marks

Min per mark: 1.5

Syllabus traceability

Topics linked to questions and mark weighting in this session

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

20 marks this session

Differentiation (Pure Mathematics 2 (for Paper 2))

15 marks this session

Series (Pure Mathematics 1 (for Paper 1))

14 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

Paper comparison

Marks and duration breakdown across papers in this session

Paper 11 Pure Mathematics 1:

75 marks110 min

Paper 21 Pure Mathematics 2:

50 marks75 min

Paper 31 Pure Mathematics 3:

75 marks110 min

Paper 41 Mechanics:

50 marks75 min

Paper 51 Probability & Statistics 1:

50 marks75 min

Paper 61 Probability & Statistics 2:

50 marks75 min

Marks you can still earn

Where valid approaches outside the mark scheme may still gain credit

  • Hypothesis Testing (P6): Formulating the null and alternative hypotheses using sample estimators (e.g., bar-x or p-hat) instead of the true population parameters (mu or p).

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 2025 Cambridge International AS & A Level Mathematics papers present a balanced yet rigorous assessment across all core components.

  • 2Message

    Maintaining a solid baseline of standard procedural tests, the examiners have cleverly integrated non-routine elements that separate the top candidates.

  • 3Message

    Overall, the papers represent a standard-to-challenging difficulty curve, requiring not only absolute accuracy but also profound conceptual flexibility.

  • 4Strength

    May/June 2025 Series Analysis: The May/June 2025 Cambridge International AS & A Level Mathematics papers present a balanced yet rig

Teacher briefing pack

One-page session summary for tutors and classroom review

June 2025 2025

Mathematics

The May/June 2025 Cambridge International AS & A Level Mathematics papers present a balanced yet rigorous assessment across all core components. Maintaining a solid baseline of standard procedural tests, the examiners have cleverly integrated non-routine elements that separate th

  • The May/June 2025 Cambridge International AS & A Level Mathematics papers present a balanced yet rigorous assessment across all core components.

  • Maintaining a solid baseline of standard procedural tests, the examiners have cleverly integrated non-routine elements that separate the top candidates.

  • Overall, the papers represent a standard-to-challenging difficulty curve, requiring not only absolute accuracy but also profound conceptual flexibility.

Total marks
350
Duration
520 min
Session difficulty
3.5 / 5

Session analysis

The May/June 2025 Cambridge International AS & A Level Mathematics papers present a balanced yet rigorous assessment across all core components. Maintaining a solid baseline of standard procedural tests, the examiners have cleverly integrated non-routine elements that separate the top candidates. Overall, the papers represent a standard-to-challenging difficulty curve, requiring not only absolute accuracy but also profound conceptual flexibility.

Updated Jun 12, 2026

Paper breakdown

Paper 11 Pure Mathematics 1:

75 marks110 min

Paper 21 Pure Mathematics 2:

50 marks75 min

Paper 31 Pure Mathematics 3:

75 marks110 min

Paper 41 Mechanics:

50 marks75 min

Paper 51 Probability & Statistics 1:

50 marks75 min

Paper 61 Probability & Statistics 2:

50 marks75 min

Top chapters

Kinematics of motion in a straight line (Mechanics (for Paper 4))20 marks
Differentiation (Pure Mathematics 2 (for Paper 2))15 marks
Series (Pure Mathematics 1 (for Paper 1))14 marks

Exam structure insights

Marks by chapter

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

Numerical solution of equations7 marks
Representation of data (Probabi12 marks
Newton’s laws of motion (Mechan9 marks
Functions (Pure Mathematics 1 (12 marks
Series (Pure Mathematics 1 (for14 marks
Integration (Pure Mathematics 19 marks
Momentum (Mechanics (for Paper7 marks
The normal distribution (Probab12 marks

Mark accessibility

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

79% within easy or medium reach

110
165
75
Easy: 110 marksMedium: 165 marksHard: 75 marks

Command word frequency

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

Solve32 times
Prove15 times
Sketch6 times
Verify12 times

Question type mix

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

350Marks
  • calculus

    95·14·27%

  • algebra_and_functions

    73·12·21%

  • probability_and_statistics

    70·14·20%

  • trigonometry_and_geometry

    62·10·18%

  • mechanics

    50·12·14%

Study ROI

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

DifficultyRecurrence %Series (AP/GP & Bi…Representation of …The Poisson distri…Differentiation (P…Kinematics

Difficulty trend

Compare difficulty across recent years.

3.620133.420143.820153.520163.520173.420183.420193.420203.52021320223.520233.820243.52025

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

Paper 11

0.50 m/min
20
40

Paper 21

0.67 m/min
50
75

Paper 41

0.67 m/min
50
75

Paper 51

0.67 m/min
50
75

Paper 61

0.67 m/min
50
75

Total marks

220

Total time

340 min

Avg pace

0.65

Cumulative marks ladder

The line is your running mark total question by question; dashed lines are the estimated grade cut-offs. See which question the line crosses your target grade at, so you know how far you must answer cleanly and which questions decide a band.

012253749A* estimatedA estimatedB estimatedC estimatedD estimatedE estimatedU estimated410121925294149

Next-year prediction

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

Hypothesis tests (Probability & Statistics 2)

92%

92%

Vectors (Pure Mathematics 3)

90%

90%

Numerical solution of equations (Pure Mathematics 2)

85%

85%

May/June 2025 Series Analysis

The May/June 2025 Cambridge International AS & A Level Mathematics papers present a balanced yet rigorous assessment across all core components. Maintaining a solid baseline of standard procedural tests, the examiners have cleverly integrated non-routine elements that separate the top candidates. Overall, the papers represent a standard-to-challenging difficulty curve, requiring not only absolute accuracy but also profound conceptual flexibility.

Examiner notes & key calculations

  • Radian Mode Neglect: Many candidates threw away straightforward marks in Pure 2 and Pure 3 by performing iterations or calculations involving trigonometric functions (such as sec⁡x\sec xsecx or cos πx\text{cos } \pi xcos πx) in degree mode instead of radian mode.
  • Underestimating Domain Constraints: In Paper 11 (Functions), proving why a composite function cannot be formed relies heavily on checking whether the range of the inner function lies within the domain of the outer function. Vague statements like "the domains do not match" were heavily penalized.
  • Hypothesis Testing Notation: A recurring pitfall in Paper 61 was the incorrect expression of null and alternative hypotheses using sample statistics (like xˉ\bar{x}xˉ) rather than population parameters (μ\muμ).

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

9709/31 — Cambridge International A Level Mathematics (June 2025) | Revui