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PURE-MATHEMATICS-XPM01 · Pearson Edexcel International AS Level

PURE-MATHEMATICS-XPM01/11

Paper 1

Pure Mathematics XPM01 · Winter 2025 · Variant 1

Relative difficulty

Standard · 3.0/5

Analysis source: Pearson Edexcel

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

3.0 / 5

Total marks

150

Duration

180 min

Most tested topic

Algebraic Modeling, Functions, and Inequality Regions

Cohort performance

Session statistics from official examination reports

Total marks

150

Duration

180 min

Session difficulty

3.0 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

The January 2025 Pure Mathematics P1 (WMA11/01) and P2 (WMA12/01) papers balanced routine procedural tasks with rigorous, multi-step problems designed to test deeper conceptual comprehension.

2

With a difficulty index of 3 out of 5, the series represents a highly fair but demanding assessment.

3

P1 emphasized fluent surds manipulation, coordinate geometry, and inequalities, while P2 showcased challenging applications in integration, optimization, and algebraic proofs.

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
Rigour7
Calculus6
Mechanic5
Geometric Analysis4
Trigonometric2
Mathematical1

Skill weighting

Shows the skill mix this paper tested most heavily.

AlgebraicAlgebraicRigourRigourCalculusCalculusMechanicMechanicGeometric AnalysisGeometricAnalysisTrigonometricTrigonometricMathematicalMathematical
SkillWeightShare
  • Algebraic

    Weight: 8100%
  • Rigour

    Weight: 788%
  • Calculus

    Weight: 675%
  • Mechanic

    Weight: 563%
  • Geometric Analysis

    Weight: 450%
  • Trigonometric

    Weight: 225%
  • Mathematical

    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. 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

CalculateFrequency: 22

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

thatFrequency: 12

Match the expected response style for “that” questions.

StateFrequency: 7

Match the expected response style for “State” questions.

ProveFrequency: 1

Match the expected response style for “Prove” questions.

SolveFrequency: 2

Match the expected response style for “Solve” questions.

SketchFrequency: 1

Match the expected response style for “Sketch” questions.

Time traps

Sections where candidates spent disproportionate time relative to marks

P1 Q1-Q3: Initial M14m / 10 marks

Min per mark: 1.4

P1 Q4-Q6: Exponenti32m / 27 marks

Min per mark: 1.2

P1 Q7-Q9: Discrimin42m / 34 marks

Min per mark: 1.2

P2 Q1-Q3: Series, E22m / 19 marks

Min per mark: 1.2

P2 Q4-Q6: Geometric28m / 23 marks

Min per mark: 1.2

P2 Q7-Q10: Trapeziu40m / 33 marks

Min per mark: 1.2

Syllabus traceability

Topics linked to questions and mark weighting in this session

Algebra and functions (Unit P1: Pure Mathematics 1)

27 marks this session

Integration (Unit P2: Pure Mathematics 2)

15 marks this session

Integration (Unit P1: Pure Mathematics 1)

14 marks this session

Coordinate geometry in the (x, y) plane (Unit P1: Pure Mathematics 1)

13 marks this session

Trigonometry (Unit P1: Pure Mathematics 1)

13 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

Algebra and functions (Unit P1)

39
34
73

Algebra and functions (Unit P1: Pure Mathematics 1)

30
27
57

Sequences and series (Unit P2)

14
21
35

Trigonometry (Unit P1: Pure Mathematics 1)

20
13
33

Sequences and series (Unit P2: Pure Mathematics 2)

24
24

Trigonometry (Unit P1)

15
15

Integration (Unit P2: Pure Mathematics 2)

15
15

Integration (Unit P1)

14
14

Paper comparison

Marks and duration breakdown across papers in this session

Pure Mathematics P1 (WMA11/01): Pure Mathematics P2 (WMA12/01):

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 January 2025 Pure Mathematics P1 (WMA11/01) and P2 (WMA12/01) papers balanced routine procedural tasks with rigorous, multi-step problems designed to test deeper conceptual comprehension.

  • 2Message

    With a difficulty index of 3 out of 5, the series represents a highly fair but demanding assessment.

  • 3Message

    P1 emphasized fluent surds manipulation, coordinate geometry, and inequalities, while P2 showcased challenging applications in integration, optimization, and algebraic proofs.

Teacher briefing pack

One-page session summary for tutors and classroom review

Winter 2025 2025

Pure Mathematics XPM01

The January 2025 Pure Mathematics P1 (WMA11/01) and P2 (WMA12/01) papers balanced routine procedural tasks with rigorous, multi-step problems designed to test deeper conceptual comprehension. With a difficulty index of 3 out of 5, the series represents a highly fair but demanding

  • The January 2025 Pure Mathematics P1 (WMA11/01) and P2 (WMA12/01) papers balanced routine procedural tasks with rigorous, multi-step problems designed to test deeper conceptual comprehension.

  • With a difficulty index of 3 out of 5, the series represents a highly fair but demanding assessment.

  • P1 emphasized fluent surds manipulation, coordinate geometry, and inequalities, while P2 showcased challenging applications in integration, optimization, and algebraic proofs.

Total marks
150
Duration
180 min
Session difficulty
3.0 / 5

Session analysis

The January 2025 Pure Mathematics P1 (WMA11/01) and P2 (WMA12/01) papers balanced routine procedural tasks with rigorous, multi-step problems designed to test deeper conceptual comprehension. With a difficulty index of 3 out of 5, the series represents a highly fair but demanding assessment. P1 emphasized fluent surds manipulation, coordinate geometry, and inequalities, while P2 showcased challenging applications in integration, optimization, and algebraic proofs.

Updated Jun 12, 2026

Paper breakdown

Pure Mathematics P1 (WMA11/01): Pure Mathematics P2 (WMA12/01):

75 marks90 min

Top chapters

Algebra and functions (Unit P1: Pure Mathematics 1)27 marks
Integration (Unit P2: Pure Mathematics 2)15 marks
Integration (Unit P1: Pure Mathematics 1)14 marks
Coordinate geometry in the (x, y) plane (Unit P1: Pure Mathematics 1)13 marks
Trigonometry (Unit P1: Pure Mathematics 1)13 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)27 marks
Integration (Unit P1)14 marks
Coordinate geometry in the (x,13 marks
Differentiation (Unit P1)8 marks
Trigonometry (Unit P1)13 marks
Sequences and series (Unit P2)10 marks
Binomial expansion (Unit P2)5 marks
Differentiation (Unit P2)10 marks

Mark accessibility

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

77% within easy or medium reach

52
63
35
Easy: 52 marksMedium: 63 marksHard: 35 marks

Command word frequency

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

Calculate22 times
that12 times
State7 times
Prove1 times
Solve2 times
Sketch1 times

Question type mix

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

150Marks
  • Calculus

    (Differentiation/Integration)

    57·6·38%

  • Analytical Solve / Calculate

    56·14·37%

  • Pure Algebraic Proof/Show That

    24·9·16%

  • Graph Sketching & Inequality Regions

    13·3·9%

Study ROI

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

DifficultyRecurrence %Algebra and functi…Integration (Unit …Integration (Unit …Differentiation (U…Algebraic Proofs (…

Difficulty trend

Compare difficulty across recent years.

3.4202432025

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

P1 Q1-Q3: Initial M

0.71 m/min
10
14

P1 Q4-Q6: Exponenti

0.84 m/min
27
32

P1 Q7-Q9: Discrimin

0.81 m/min
34
42

P2 Q1-Q3: Series, E

0.86 m/min
19
22

P2 Q4-Q6: Geometric

0.82 m/min
23
28

P2 Q7-Q10: Trapeziu

0.82 m/min
33
40

Total marks

146

Total time

178 min

Avg pace

0.82

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.

03875113150A estimatedB estimatedC estimatedD estimatedE estimatedU estimated4914233141496275798494100109117125130142150

Next-year prediction

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

Complex Trigonometric Identities & Modeling

88%

88%

Simultaneous Arithmetic & Geometric Series Equations

80%

80%

Executive Summary & Difficulty Verdict

The January 2025 Pure Mathematics P1 (WMA11/01) and P2 (WMA12/01) papers balanced routine procedural tasks with rigorous, multi-step problems designed to test deeper conceptual comprehension. With a difficulty index of 3 out of 5, the series represents a highly fair but demanding assessment. P1 emphasized fluent surds manipulation, coordinate geometry, and inequalities, while P2 showcased challenging applications in integration, optimization, and algebraic proofs.

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

PURE-MATHEMATICS-XPM01/11 — Pearson Edexcel International AS Level Pure Mathematics XPM01 (Winter 2025) | Revui