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7357 · AQA A Level

7357/31

(Pure & Statistics)

Mathematics · June 2022 · Variant 1

Relative difficulty

Demanding · 4.0/5

Analysis source: AQA

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

4.0 / 5

Total marks

300

Duration

360 min

Most tested topic

Integration

Cohort performance

Session statistics from official examination reports

Total marks

300

Duration

360 min

Session difficulty

4.0 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

A demanding full A-level: Paper 1 is entirely Pure, Paper 2 adds Mechanics and Paper 3 adds Statistics.

2

High-tariff synoptic questions (integration by substitution, trig proof, Newton–Raphson, differential-equation modelling) separate the grades.

3

Pure carries about two-thirds of the 300 marks.

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 fluency6
Calculus5
Proof & Reasoning4
Mechanics3
Statistics Modelling & Interpretation2

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic fluencyAlgebraicfluencyCalculusCalculusProof & ReasoningProof &ReasoningMechanicsMechanicsStatistics Modelling & InterpretationStatisticsModelling &
SkillWeightShare
  • Algebraic fluency

    Weight: 6100%
  • Calculus

    Weight: 583%
  • Proof & Reasoning

    Weight: 467%
  • Mechanics

    Weight: 350%
  • Statistics Modelling & Interpretation

    Weight: 233%

Method marks watchlist

Where working, steps, or method marks were commonly lost

Method marks

Asserting rather than proving each line in trigonometric-identity proofs — full justification is required for the method marks.

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. 73% of maximum mark

Level A

Approx. 57% of maximum mark

Level B

Approx. 46% of maximum mark

Level C

Approx. 35% of maximum mark

Level D

Approx. 25% of maximum mark

Level E

Approx. 14% 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: 22

Match the expected response style for “Find” questions.

thatFrequency: 14

Match the expected response style for “that” questions.

HenceFrequency: 11

Match the expected response style for “Hence” questions.

ProveFrequency: 5

Match the expected response style for “Prove” questions.

ExplainFrequency: 6

Give reasons and link mechanism to outcome; each point needs a because/so chain.

SketchFrequency: 4

Match the expected response style for “Sketch” questions.

StateFrequency: 6

Match the expected response style for “State” questions.

DeduceFrequency: 3

Match the expected response style for “Deduce” questions.

Time traps

Sections where candidates spent disproportionate time relative to marks

Paper 1 (Pure)60m / 50 marks

Min per mark: 1.2

Paper 2 — Pure60m / 50 marks

Min per mark: 1.2

Paper 2 — Mechanics60m / 50 marks

Min per mark: 1.2

Paper 3 — Pure60m / 50 marks

Min per mark: 1.2

Syllabus traceability

Topics linked to questions and mark weighting in this session

Integration

30 marks this session

Trigonometry

30 marks this session

Algebra and functions

28 marks this session

Differentiation

26 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
2022
2023
Σ

Integration

30
30
60

Trigonometry

30
28
58

Differentiation

26
28
54

Algebra and functions

28
26
54

Difficulty trend

How session difficulty has shifted across recent years

20222023
2022 June 2022 · 4.0/52023 June 2023 · 4.2/5

Paper comparison

Marks and duration breakdown across papers in this session

Paper 1 (Pure):

100 marks120 min

Paper 2 (Pure & Mechanics):

100 marks120 min

Paper 3 (Pure & Statistics):

100 marks120 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 demanding full A-level: Paper 1 is entirely Pure, Paper 2 adds Mechanics and Paper 3 adds Statistics.

  • 2Message

    High-tariff synoptic questions (integration by substitution, trig proof, Newton–Raphson, differential-equation modelling) separate the grades.

  • 3Message

    Pure carries about two-thirds of the 300 marks.

  • 4Method

    Asserting rather than proving each line in trigonometric-identity proofs — full justification is required for the method marks.

Teacher briefing pack

One-page session summary for tutors and classroom review

June 2022 2022

Mathematics

A demanding full A-level: Paper 1 is entirely Pure, Paper 2 adds Mechanics and Paper 3 adds Statistics. High-tariff synoptic questions (integration by substitution, trig proof, Newton–Raphson, differential-equation modelling) separate the grades. Pure carries about two-thirds of

  • A demanding full A-level: Paper 1 is entirely Pure, Paper 2 adds Mechanics and Paper 3 adds Statistics.

  • High-tariff synoptic questions (integration by substitution, trig proof, Newton–Raphson, differential-equation modelling) separate the grades.

  • Pure carries about two-thirds of the 300 marks.

Total marks
300
Duration
360 min
Session difficulty
4.0 / 5

Session analysis

A demanding full A-level: Paper 1 is entirely Pure, Paper 2 adds Mechanics and Paper 3 adds Statistics. High-tariff synoptic questions (integration by substitution, trig proof, Newton–Raphson, differential-equation modelling) separate the grades. Pure carries about two-thirds of the 300 marks.

Updated Jun 17, 2026

Paper breakdown

Paper 1 (Pure):

100 marks120 min

Paper 2 (Pure & Mechanics):

100 marks120 min

Paper 3 (Pure & Statistics):

100 marks120 min

Top chapters

Integration30 marks
Trigonometry30 marks
Algebra and functions28 marks
Differentiation26 marks

Exam structure insights

Marks by chapter

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

Integration30 marks
Trigonometry30 marks
Algebra and functions28 marks
Differentiation26 marks
Exponentials and logarithms22 marks
Coordinate geometry18 marks
Sequences and series18 marks
Numerical methods18 marks

Mark accessibility

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

70% within easy or medium reach

72
138
90
Easy: 72 marksMedium: 138 marksHard: 90 marks

Command word frequency

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

Find22 times
that14 times
Hence11 times
Prove5 times
Explain6 times
Sketch4 times
State6 times
Deduce3 times

Question type mix

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

300Marks
  • Multi-step problem solving

    115·16·38%

  • Short structured

    70·18·23%

  • Proof / show that

    66·12·22%

  • Modelling / interpretation

    40·9·13%

  • Objective

    (circle/tick)

    9·9·3%

Study ROI

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

DifficultyRecurrence %Integration (subst…Trigonometry (iden…DifferentiationNumerical methodsExponential / log …Normal & binomial …

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

Paper 1 (Pure)

0.83 m/min
50
60

Paper 2 — Pure

0.83 m/min
50
60

Paper 2 — Mechanics

0.83 m/min
50
60

Paper 3 — Pure

0.83 m/min
50
60

Total marks

200

Total time

240 min

Avg pace

0.83

Next-year prediction

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

Integration by substitution

95%

95%

Trigonometric proof / identities

90%

90%

Newton–Raphson / numerical methods

85%

85%

Normal-distribution hypothesis test

85%

85%

Connected-particle mechanics

80%

80%

Exam tips

Paper format

Duration
2h
Total marks
100
Weighting
33.34%
Question types
Objective, Structured pure, Structured statistics

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

7357/31 — AQA A Level Mathematics (June 2022) | Revui