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PURE-MATHEMATICS-YPM01 · Pearson Edexcel International A Level

PURE-MATHEMATICS-YPM01/12

Paper 1

Pure Mathematics YPM01 · November 2025 · Variant 2

Relative difficulty

Demanding · 3.8/5

Analysis source: Pearson Edexcel

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

3.8 / 5

Total marks

300

Duration

360 min

Most tested topic

Algebra and functions, combined with multi-step integration methods (such as integration by parts, substitution, and differential equations).

Cohort performance

Session statistics from official examination reports

Total marks

300

Duration

360 min

Session difficulty

3.8 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

The October 2025 series across the Pure Mathematics (P1–P4) papers maintained a highly demanding standard, blending typical core routines with rigorous non-calculator constraints.

2

Students faced significant hurdles not from unfamiliar topics, but from the raw algebraic stamina required to simplify expressions into specific surd, fractional, or exponential formats.

3

The inclusion of complex contextual modelling, such as P3's bee population derivative and P4's connected rates of change, elevated the general difficulty profile, making this a challenging but highly rewarding set of papers for prepared candidates.

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

Algebraic8
Accuracy7
Calculus Application6
Geometric & Graphical Reasoning4
Vectors Problem3
Solving &1

Skill weighting

Shows the skill mix this paper tested most heavily.

AlgebraicAlgebraicAccuracyAccuracyCalculus ApplicationCalculusApplicationGeometric & Graphical ReasoningGeometric &GraphicalVectors ProblemVectors ProblemSolving &Solving &
SkillWeightShare
  • Algebraic

    Weight: 8100%
  • Accuracy

    Weight: 788%
  • Calculus Application

    Weight: 675%
  • Geometric & Graphical Reasoning

    Weight: 450%
  • Vectors Problem

    Weight: 338%
  • Solving &

    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

Examiner report — national grade boundaries and question-level commentary

Level A*

Approx. 90% of maximum mark

Level A

Approx. 80% of maximum mark

Level B

Approx. 70% of maximum mark

Level C

Approx. 60% of maximum mark

Level D

Approx. 50% of maximum mark

Level E

Approx. 40% 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: 24

Match the expected response style for “Find” questions.

SolveFrequency: 8

Match the expected response style for “Solve” questions.

thatFrequency: 12

Match the expected response style for “that” questions.

ProveFrequency: 4

Match the expected response style for “Prove” questions.

SketchFrequency: 5

Match the expected response style for “Sketch” questions.

CalculateFrequency: 6

Show formula, substitution, and unit; method marks need visible working.

JustifyFrequency: 2

Support your choice with specific evidence from data or the scenario given.

Time traps

Sections where candidates spent disproportionate time relative to marks

No data available in official reports

Syllabus traceability

Topics linked to questions and mark weighting in this session

Algebra and functions (Unit P1: Pure Mathematics 1)

39 marks this session

Integration (Unit P4: Pure Mathematics 4)

25 marks this session

Trigonometry (Unit P3: Pure Mathematics 3)

21 marks this session

Algebra and functions (Unit P3: Pure Mathematics 3)

19 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
2025
2026
Σ

Integration (Unit P4: Pure Mathematics 4)

30
46
39
115

Algebra and functions (Unit P1: Pure Mathematics 1)

26
39
34
99

Trigonometry (Unit P1: Pure Mathematics 1)

20
21
41

Trigonometry (Unit P3: Pure Mathematics 3)

21
19
40

Differentiation (Unit P3: Pure Mathematics 3)

26
26

Differentiation (Unit P4: Pure Mathematics 4)

24
24

Sequences and series (Unit P2: Pure Mathematics 2)

24
24

Algebra and functions (Unit P3: Pure Mathematics 3)

19
19

Difficulty trend

How session difficulty has shifted across recent years

2023202520252026
2023 Winter 2023 · 3.8/52025 November 2025 · 3.8/52025 Winter 2025 · 3.5/52026 Winter 2026 · 3.8/5

Paper comparison

Marks and duration breakdown across papers in this session

WMA11/01A - Pure Mathematics P1: WMA12/01A - Pure Mathematics P2: WMA13/01A - Pure Mathematics P3: WMA14/01A - Pure Mathematics P4:

75 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 October 2025 series across the Pure Mathematics (P1–P4) papers maintained a highly demanding standard, blending typical core routines with rigorous non-calculator constraints.

  • 2Message

    Students faced significant hurdles not from unfamiliar topics, but from the raw algebraic stamina required to simplify expressions into specific surd, fractional, or exponential formats.

  • 3Message

    The inclusion of complex contextual modelling, such as P3's bee population derivative and P4's connected rates of change, elevated the general difficulty profile, making this a challenging but highly rewarding set of papers for prepared candidates.

Teacher briefing pack

One-page session summary for tutors and classroom review

November 2025 2025

Pure Mathematics YPM01

The October 2025 series across the Pure Mathematics (P1–P4) papers maintained a highly demanding standard, blending typical core routines with rigorous non-calculator constraints. Students faced significant hurdles not from unfamiliar topics, but from the raw algebraic stamina re

  • The October 2025 series across the Pure Mathematics (P1–P4) papers maintained a highly demanding standard, blending typical core routines with rigorous non-calculator constraints.

  • Students faced significant hurdles not from unfamiliar topics, but from the raw algebraic stamina required to simplify expressions into specific surd, fractional, or exponential formats.

  • The inclusion of complex contextual modelling, such as P3's bee population derivative and P4's connected rates of change, elevated the general difficulty profile, making this a challenging but highly rewarding set of papers for prepared candidates.

Total marks
300
Duration
360 min
Session difficulty
3.8 / 5

Session analysis

The October 2025 series across the Pure Mathematics (P1–P4) papers maintained a highly demanding standard, blending typical core routines with rigorous non-calculator constraints. Students faced significant hurdles not from unfamiliar topics, but from the raw algebraic stamina required to simplify expressions into specific surd, fractional, or exponential formats. The inclusion of complex contextual modelling, such as P3's bee population derivative and P4's connected rates of change, elevated the general difficulty profile, making this a challenging but highly rewarding set of papers for prepared candidates.

Updated Jun 12, 2026

Paper breakdown

WMA11/01A - Pure Mathematics P1: WMA12/01A - Pure Mathematics P2: WMA13/01A - Pure Mathematics P3: WMA14/01A - Pure Mathematics P4:

75 marks90 min

Top chapters

Algebra and functions (Unit P1: Pure Mathematics 1)39 marks
Integration (Unit P4: Pure Mathematics 4)25 marks
Trigonometry (Unit P3: Pure Mathematics 3)21 marks
Algebra and functions (Unit P3: Pure Mathematics 3)19 marks

Exam structure insights

Marks by chapter

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

Algebra and functions (Unit P1:39 marks
Integration (Unit P4: Pure Math25 marks
Trigonometry (Unit P3: Pure Mat21 marks
Algebra and functions (Unit P3:19 marks
Vectors (Unit P4: Pure Mathemat14 marks
Sequences and series (Unit P2:14 marks
Differentiation (Unit P4: Pure13 marks
Algebra and functions (Unit P2:13 marks

Mark accessibility

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

77% within easy or medium reach

105
125
70
Easy: 105 marksMedium: 125 marksHard: 70 marks

Command word frequency

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

Find24 times
Solve8 times
that12 times
Prove4 times
Sketch5 times
Calculate6 times
Justify2 times

Question type mix

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

300Marks
  • Structured Algebraic Manipulation

    98·15·33%

  • Integration & Differential Equations

    78·8·26%

  • Calculus & Derivative Analysis

    76·10·25%

  • Short Answer / Conceptual Proof

    48·12·16%

Study ROI

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

DifficultyRecurrence %Trigonometric Iden…Sequences and Seri…Integration Method…Exponentials and L…

Next-year prediction

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

P3 Numerical Methods (specifically Newton-Raphson)

92%

92%

P4 Vectors (Intersections of skew lines)

88%

88%

October 2025 Difficulty Verdict

The October 2025 series across the Pure Mathematics (P1–P4) papers maintained a highly demanding standard, blending typical core routines with rigorous non-calculator constraints. Students faced significant hurdles not from unfamiliar topics, but from the raw algebraic stamina required to simplify expressions into specific surd, fractional, or exponential formats. The inclusion of complex contextual modelling, such as P3's bee population derivative and P4's connected rates of change, elevated the general difficulty profile, making this a challenging but highly rewarding set of papers for prepared candidates.

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

PURE-MATHEMATICS-YPM01/12 — Pearson Edexcel International A Level Pure Mathematics YPM01 (November 2025) | Revui