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PURE-MATHEMATICS-XPM01 · Pearson Edexcel International AS Level

PURE-MATHEMATICS-XPM01/22

Paper 2

Pure Mathematics XPM01 · Winter 2026 · Variant 2

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

Algebra and Functions & Sequence Applications

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 2026 Pure Mathematics (XPM01) series is a fair yet testing assessment.

2

While the early questions in both papers provide accessible marks, the later questions introduce algebraic friction and multi-step reasoning.

3

P1 is dominated by algebraic manipulation and graphing, whereas P2 demands sophisticated logical links between sequences, trigonometry, and calculus optimization.

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 Manipulation9
Graphical Interpretation7
Calculus Application5
Trigonometric3
Numerical2
Modeling1

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic ManipulationAlgebraicManipulationGraphical InterpretationGraphicalInterpretationCalculus ApplicationCalculusApplicationTrigonometricTrigonometricNumericalNumericalModelingModeling
SkillWeightShare
  • Algebraic Manipulation

    Weight: 9100%
  • Graphical Interpretation

    Weight: 778%
  • Calculus Application

    Weight: 556%
  • Trigonometric

    Weight: 333%
  • Numerical

    Weight: 222%
  • Modeling

    Weight: 111%

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

FindFrequency: 24

Match the expected response style for “Find” questions.

ShowFrequency: 8

Match the expected response style for “Show” questions.

SolveFrequency: 5

Match the expected response style for “Solve” questions.

StateFrequency: 4

Match the expected response style for “State” questions.

SketchFrequency: 2

Match the expected response style for “Sketch” questions.

JustifyFrequency: 1

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

Time traps

Sections where candidates spent disproportionate time relative to marks

P2 Questions 1-5 (S40m / 32 marks

Min per mark: 1.3

P1 Questions 1-5 (I45m / 37 marks

Min per mark: 1.2

P1 Questions 6-10 (45m / 38 marks

Min per mark: 1.2

Syllabus traceability

Topics linked to questions and mark weighting in this session

Algebra and functions (Unit P1)

34 marks this session

Sequences and series (Unit P2)

21 marks this session

Trigonometry (Unit P1)

15 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

WMA11/01A Pure Mathematics P1: WMA12/01A Pure Mathematics P2:

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 2026 Pure Mathematics (XPM01) series is a fair yet testing assessment.

  • 2Message

    While the early questions in both papers provide accessible marks, the later questions introduce algebraic friction and multi-step reasoning.

  • 3Message

    P1 is dominated by algebraic manipulation and graphing, whereas P2 demands sophisticated logical links between sequences, trigonometry, and calculus optimization.

Teacher briefing pack

One-page session summary for tutors and classroom review

Winter 2026 2026

Pure Mathematics XPM01

The January 2026 Pure Mathematics (XPM01) series is a fair yet testing assessment. While the early questions in both papers provide accessible marks, the later questions introduce algebraic friction and multi-step reasoning. P1 is dominated by algebraic manipulation and graphing,

  • The January 2026 Pure Mathematics (XPM01) series is a fair yet testing assessment.

  • While the early questions in both papers provide accessible marks, the later questions introduce algebraic friction and multi-step reasoning.

  • P1 is dominated by algebraic manipulation and graphing, whereas P2 demands sophisticated logical links between sequences, trigonometry, and calculus optimization.

Total marks
150
Duration
180 min
Session difficulty
3.0 / 5

Session analysis

The January 2026 Pure Mathematics (XPM01) series is a fair yet testing assessment. While the early questions in both papers provide accessible marks, the later questions introduce algebraic friction and multi-step reasoning. P1 is dominated by algebraic manipulation and graphing, whereas P2 demands sophisticated logical links between sequences, trigonometry, and calculus optimization.

Updated Jun 12, 2026

Paper breakdown

WMA11/01A Pure Mathematics P1: WMA12/01A Pure Mathematics P2:

75 marks90 min

Top chapters

Algebra and functions (Unit P1)34 marks
Sequences and series (Unit P2)21 marks
Trigonometry (Unit P1)15 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)34 marks
Coordinate geometry in the (x,9 marks
Trigonometry (Unit P1)15 marks
Differentiation (Unit P1)8 marks
Integration (Unit P1)9 marks
Algebra and functions (Unit P2)9 marks
Sequences and series (Unit P2)21 marks
Integration (Unit P2)11 marks

Mark accessibility

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

80% within easy or medium reach

55
65
30
Easy: 55 marksMedium: 65 marksHard: 30 marks

Command word frequency

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

Find24 times
Show8 times
Solve5 times
State4 times
Sketch2 times
Justify1 times

Question type mix

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

150Marks
  • Complex Problem Solving / Applied Modeling

    63·10·42%

  • Multi-step Algebraic Solution

    52·14·35%

  • Show That / Proof

    24·8·16%

  • Single-step Calculation / State

    11·8·7%

Study ROI

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

DifficultyRecurrence %Algebra and functi…Sequences and seri…Trigonometry (Unit…Differentiation (U…

Difficulty trend

Compare difficulty across recent years.

3.42021320223.220233.220243.5202532026

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

P1 Questions 1-5 (I

0.82 m/min
37
45

P1 Questions 6-10 (

0.84 m/min
38
45

P2 Questions 1-5 (S

0.80 m/min
32
40

Total marks

107

Total time

130 min

Avg pace

0.82

Next-year prediction

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

Exponential modeling and growth/decay systems

90%

90%

Trigonometric Identities & General Proof

82%

82%

Difficulty Verdict

The January 2026 Pure Mathematics (XPM01) series is a fair yet testing assessment. While the early questions in both papers provide accessible marks, the later questions introduce algebraic friction and multi-step reasoning. P1 is dominated by algebraic manipulation and graphing, whereas P2 demands sophisticated logical links between sequences, trigonometry, and calculus optimization.

Where the Marks Are

The core of both papers lies in high-yield topics. In P1, Algebra and Functions constitutes nearly half of the marks (34 out of 75), covering quadratics, inequalities, indices, surds, and transformations. In P2, the weight is shared across Sequences and Series (21 marks) and Trigonometry. Mastering circular coordinate geometry and optimization equations accounts for a critical portion of the remaining marks, making standard algebra skills the foundation of scoring well.

Examiner notes & key calculations

  • The Calculator Trap: The instruction 'Solutions relying on calculator technology are not acceptable' was heavily enforced. In WMA11/01A Q1(b) and Q2(i), candidates who wrote down roots or index solutions without showing intermediate factoring or exponent matching scored zero.
  • Integral Transformations: In WMA12/01A Q3(b), many candidates struggled to relate the transformed integral ∫−26(2x+4x+8) dx \int_{-2}^6 (2x + \sqrt{4x+8})\,dx ∫−26​(2x+4x+8​)dx to their trapezium rule result for ∫−26x+2 dx \int_{-2}^6 \sqrt{x+2}\,dx ∫−26​x+2​dx. Successful candidates split the integral and recognized that 4x+8=2x+2 \sqrt{4x+8} = 2\sqrt{x+2} 4x+8​=2x+2​.
  • Circle Geometry Coordinates: Finding the coordinates of point W W W in WMA12/01A Q6(d) via diametrical relationships or vector steps proved highly challenging, with many making sign slips or failing to construct a clear geometric path.

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

PURE-MATHEMATICS-XPM01/22 — Pearson Edexcel International AS Level Pure Mathematics XPM01 (Winter 2026) | Revui