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MATHEMATICS-ANALYSIS-AND-APPROACHES · IB Diploma Programme

MATHEMATICS-ANALYSIS-AND-APPROACHES/31

Paper 3

Mathematics Analysis and Approaches · June 2024 · Variant 1

Relative difficulty

Demanding · 3.8/5

Analysis source: International Baccalaureate Organization

Analysis aligned to the official syllabus and assessment design.

Relative difficulty

3.8 / 5

Total marks

160

Duration

180 min

Most tested topic

Geometry and trigonometry

Cohort performance

Session statistics from official examination reports

Total marks

160

Duration

180 min

Session difficulty

3.8 / 5

Key examiner messages

Top priorities from the principal examiner before you revise

1

The distribution of marks leaned heavily on circular functions and statistics, with Geometry and trigonometry as well as Statistics and probability taking up more than half the total marks across both papers.

2

Standard calculus routines, such as derivative calculations, locating stationary points, and basic integration, offered predictable marks for diligent students.

3

In Paper 2, GDC-driven questions—including regression analysis and normal distributions—represented highly accessible areas, provided students understood how to leverage their technology effectively.

4

Compare difficulty across recent years. Compare topic weight by year to spot recurring and returning areas.

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
Operation7
Conceptual Modeling6
Geometric Visualisation4
Calculus2
Execution1

Skill weighting

Shows the skill mix this paper tested most heavily.

Algebraic ManipulationAlgebraicManipulationOperationOperationConceptual ModelingConceptualModelingGeometric VisualisationGeometricVisualisationCalculusCalculusExecutionExecution
SkillWeightShare
  • Algebraic Manipulation

    Weight: 9100%
  • Operation

    Weight: 778%
  • Conceptual Modeling

    Weight: 667%
  • Geometric Visualisation

    Weight: 444%
  • Calculus

    Weight: 222%
  • Execution

    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

IB subject report — grade distributions, IA weighting, and HL/SL distinctions

Level 7

Excellent — top band for competitive university offers

Level 6

Very good — strong HL performance

Level 5

Good — solid pass at higher level

Level 4

Satisfactory — minimum for many university credits

Level 3

Mediocre

Level 2

Poor

Level 1

Very poor

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: 6

Match the expected response style for “that” questions.

downFrequency: 4

Match the expected response style for “down” questions.

SketchFrequency: 1

Match the expected response style for “Sketch” questions.

CompareFrequency: 1

Identify similarities and differences explicitly — paired sentences or a table helps.

reasonFrequency: 4

Match the expected response style for “reason” questions.

SolveFrequency: 1

Match the expected response style for “Solve” questions.

DetermineFrequency: 2

Match the expected response style for “Determine” questions.

Time traps

Sections where candidates spent disproportionate time relative to marks

Paper 1 Section B52m / 45 marks

Min per mark: 1.2

Paper 2 Section B52m / 44 marks

Min per mark: 1.2

Paper 1 Section A38m / 35 marks

Min per mark: 1.1

Paper 2 Section A38m / 36 marks

Min per mark: 1.1

Syllabus traceability

Topics linked to questions and mark weighting in this session

Geometry and trigonometry

45 marks this session

Statistics and probability

41 marks this session

Calculus

27 marks this session

Functions

26 marks this session

Number and algebra

21 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
2024
2025
Σ

Calculus

35
27
39
101

Number and algebra

33
21
36
90

Geometry and trigonometry

32
45
77

Statistics and probability

35
41
76

Functions

26
30
56

Paper comparison

Marks and duration breakdown across papers in this session

Paper 1 (Non-Calculator):

80 marks90 min

Paper 2 (Calculator):

80 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 distribution of marks leaned heavily on circular functions and statistics, with Geometry and trigonometry as well as Statistics and probability taking up more than half the total marks across both papers.

  • 2Message

    Standard calculus routines, such as derivative calculations, locating stationary points, and basic integration, offered predictable marks for diligent students.

  • 3Message

    In Paper 2, GDC-driven questions—including regression analysis and normal distributions—represented highly accessible areas, provided students understood how to leverage their technology effectively.

  • 4Message

    Compare difficulty across recent years. Compare topic weight by year to spot recurring and returning areas.

Teacher briefing pack

One-page session summary for tutors and classroom review

June 2024 2024

Mathematics Analysis and Approaches

The distribution of marks leaned heavily on circular functions and statistics, with Geometry and trigonometry as well as Statistics and probability taking up more than half the total marks across both papers. Standard calculus routines, such as derivative calculations, locating s

  • The distribution of marks leaned heavily on circular functions and statistics, with Geometry and trigonometry as well as Statistics and probability taking up more than half the total marks across both papers.

  • Standard calculus routines, such as derivative calculations, locating stationary points, and basic integration, offered predictable marks for diligent students.

  • In Paper 2, GDC-driven questions—including regression analysis and normal distributions—represented highly accessible areas, provided students understood how to leverage their technology effectively.

Total marks
160
Duration
180 min
Session difficulty
3.8 / 5

Session analysis

The distribution of marks leaned heavily on circular functions and statistics, with Geometry and trigonometry as well as Statistics and probability taking up more than half the total marks across both papers. Standard calculus routines, such as derivative calculations, locating stationary points, and basic integration, offered predictable marks for diligent students. In Paper 2, GDC-driven questions—including regression analysis and normal distributions—represented highly accessible areas, provided students understood how to leverage their technology effectively.

Updated Jun 14, 2026

Paper breakdown

Paper 1 (Non-Calculator):

80 marks90 min

Paper 2 (Calculator):

80 marks90 min

Top chapters

Geometry and trigonometry45 marks
Statistics and probability41 marks
Calculus27 marks
Functions26 marks
Number and algebra21 marks

Exam structure insights

Marks by chapter

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

Geometry and trigonometry45 marks
Statistics and probability41 marks
Calculus27 marks
Functions26 marks
Number and algebra21 marks

Mark accessibility

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

78% within easy or medium reach

50
75
35
Easy: 50 marksMedium: 75 marksHard: 35 marks

Command word frequency

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

Find22 times
that6 times
down4 times
Sketch1 times
Compare1 times
reason4 times
Solve1 times
Determine2 times

Question type mix

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

160Marks
  • Extended-response

    (Section B)

    89·6·56%

  • Short-response

    (Section A)

    71·12·44%

Study ROI

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

DifficultyRecurrence %Non-right Trigonom…Statistical Measur…Differential Calcu…Probability Trees …Sequences and Series

Difficulty trend

Compare difficulty across recent years.

4.220144.220153.420163.42017420184.220193.520203.52021420224.220233.82024

Time vs marks

Compare marks with suggested time allocation to plan exam pacing.

MarksMinutesMarks / min

Paper 1 Section A

0.92 m/min
35
38

Paper 1 Section B

0.87 m/min
45
52

Paper 2 Section A

0.95 m/min
36
38

Paper 2 Section B

0.85 m/min
44
52

Total marks

160

Total time

180 min

Avg pace

0.89

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.

040801201607 estimated6 estimated5 estimated4 estimated3 estimated2 estimated1 estimated4Q1: Arithmeti10Q1: Arithmeti15Q4: Circular23Q4: Circular30Q4: Circular35Q7: Cubic Opt49Q7: Cubic Opt63Q7: Cubic Opt80Q10: Boxplot87Q10: Boxplot94Q10: Boxplot99Q13: Normal I103Q13: Normal I109Q13: Normal I116Q16: Composit128Q16: Composit144Q16: Composit160Q18: Goat Fen

Next-year prediction

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

Calculus (Integration and Area)

90%

90%

Functions (Transformations and Composites)

85%

85%

Vector Geometry

80%

80%

Bivariate Statistics (Non-linear models)

75%

75%

Exam tips

Paper format

Duration
1h 15min
Total marks
55

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

MATHEMATICS-ANALYSIS-AND-APPROACHES/31 — IB Diploma Programme Mathematics Analysis and Approaches (June 2024) | Revui