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PURE-MATHEMATICS-XPM01 · Pearson Edexcel International AS Level

PURE-MATHEMATICS-XPM01/12

Paper 1

Pure Mathematics XPM01 · November 2025 · Variant 2

Relative difficulty

Standard · 3.2/5

Analysis source: Pearson Edexcel

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

3.2 / 5

Total marks

150

Duration

180 min

Most tested topic

Algebra and functions

Cohort performance

Session statistics from official examination reports

Total marks

150

Duration

180 min

Session difficulty

3.2 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

A significant portion of the marks lay in Algebra and Functions across both papers, totaling over a quarter of the total available marks.

2

In P1, high-scoring students excelled on the structured curve sketching and intersection problems (Question 10), while weaker candidates struggled with the non-calculator constraints, frequently losing accuracy marks when manipulating surds.

3

In P2, the optimization stage design question (Question 10) served as a strong differentiator; candidates who structured their perimeter and area derivations step-by-step secured maximum marks, whereas others faltered during the substitution of the angle θ \theta θ into the perimeter formula.

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
Calculus7
Execution6
Trigonometric5
Graphical & Practical Skills4
Geometric Problem3
Solving &1

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic ManipulationAlgebraicManipulationCalculusCalculusExecutionExecutionTrigonometricTrigonometricGraphical & Practical SkillsGraphical &Practical SkillsGeometric ProblemGeometricProblemSolving &Solving &
SkillWeightShare
  • Algebraic Manipulation

    Weight: 9100%
  • Calculus

    Weight: 778%
  • Execution

    Weight: 667%
  • Trigonometric

    Weight: 556%
  • Graphical & Practical Skills

    Weight: 444%
  • Geometric Problem

    Weight: 333%
  • Solving &

    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: 14

Match the expected response style for “Find” questions.

ShowFrequency: 6

Match the expected response style for “Show” questions.

SolveFrequency: 5

Match the expected response style for “Solve” questions.

SketchFrequency: 3

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

No data available in official reports

Syllabus traceability

Topics linked to questions and mark weighting in this session

Algebra and functions (Unit P1)

39 marks this session

Integration (Unit P1)

14 marks this session

Sequences and series (Unit P2)

14 marks this session

Differentiation (Unit P2)

10 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

    A significant portion of the marks lay in Algebra and Functions across both papers, totaling over a quarter of the total available marks.

  • 2Message

    In P1, high-scoring students excelled on the structured curve sketching and intersection problems (Question 10), while weaker candidates struggled with the non-calculator constraints, frequently losing accuracy marks when manipulating surds.

  • 3Message

    In P2, the optimization stage design question (Question 10) served as a strong differentiator; candidates who structured their perimeter and area derivations step-by-step secured maximum marks, whereas others faltered during the substitution of the angle θ \theta θ into the perimeter formula.

Teacher briefing pack

One-page session summary for tutors and classroom review

November 2025 2025

Pure Mathematics XPM01

A significant portion of the marks lay in Algebra and Functions across both papers, totaling over a quarter of the total available marks. In P1, high-scoring students excelled on the structured curve sketching and intersection problems (Question 10), while weaker candidates strug

  • A significant portion of the marks lay in Algebra and Functions across both papers, totaling over a quarter of the total available marks.

  • In P1, high-scoring students excelled on the structured curve sketching and intersection problems (Question 10), while weaker candidates struggled with the non-calculator constraints, frequently losing accuracy marks when manipulating surds.

  • In P2, the optimization stage design question (Question 10) served as a strong differentiator; candidates who structured their perimeter and area derivations step-by-step secured maximum marks, whereas others faltered during the substitution of the angle θ \theta θ into the perimeter formula.

Total marks
150
Duration
180 min
Session difficulty
3.2 / 5

Session analysis

A significant portion of the marks lay in Algebra and Functions across both papers, totaling over a quarter of the total available marks. In P1, high-scoring students excelled on the structured curve sketching and intersection problems (Question 10), while weaker candidates struggled with the non-calculator constraints, frequently losing accuracy marks when manipulating surds. In P2, the optimization stage design question (Question 10) served as a strong differentiator; candidates who structured their perimeter and area derivations step-by-step secured maximum marks, whereas others faltered during the substitution of the angle θ \theta θ into the perimeter formula.

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)39 marks
Integration (Unit P1)14 marks
Sequences and series (Unit P2)14 marks
Differentiation (Unit P2)10 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
Differentiation (Unit P1)7 marks
Coordinate geometry in the (x,6 marks
Integration (Unit P1)14 marks
Trigonometry (Unit P1)9 marks
Sequences and series (Unit P2)14 marks
Binomial expansion (Unit P2)4 marks
Trapezium rule (Unit P2)6 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.

Find14 times
Show6 times
Solve5 times
Sketch3 times
Justify1 times

Question type mix

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

150Marks
  • Medium Structured

    (5-7 marks)

    58·10·39%

  • Long Structured

    (8-12 marks)

    50·5·33%

  • Short Answer

    (2-4 marks)

    42·14·28%

Study ROI

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

DifficultyRecurrence %Algebra and functi…Sequences and seri…Integration (Unit …Exponentials and l…

Difficulty trend

Compare difficulty across recent years.

3.42022320233.220243.22025

Next-year prediction

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

Proof by exhaustion or counter-example

85%

85%

Exponential Modeling

75%

75%

Examiner notes & key calculations

  • The 'No Calculator' Constraint: Many candidates failed to show intermediate working for quadratic equations, surd rationalisation, and trigonometric values, resulting in a zero-score for accuracy marks.
  • Bracket Errors during Squaring: A recurrent error in P1 Question 1 was writing 2x2 2x^2 2x2 instead of (2x)2 (2x)^2 (2x)2 during Pythagoras' Theorem calculations.
  • Inequality Notation: In P1 Question 6, when describing the region of no real roots, candidates frequently merged two distinct regions into invalid compound inequalities like 3<k<−3/11 3 < k < -3/11 3<k<−3/11.
  • Boundary Conditions: In P2 Question 6, several candidates failed to recognise that for a circle to lie completely in the first quadrant, its radius must be strictly less than the smallest coordinate of its centre.

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

PURE-MATHEMATICS-XPM01/12 — Pearson Edexcel International AS Level Pure Mathematics XPM01 (November 2025) | Revui