Paper Comparison
June 2025 against June 2024
What one sitting asked that the other did not — as a share of each paper, because June 2025 carries 100 subject questions and June 2024 carries 100. Comparing raw counts across papers of different sizes invents a trend in every row.
December 2025 vs June 2025December 2025 vs December 2024December 2025 vs June 2024December 2025 vs December 2023June 2025 vs December 2025June 2025 vs December 2024June 2025 vs June 2024June 2025 vs December 2023December 2024 vs December 2025December 2024 vs June 2025December 2024 vs June 2024December 2024 vs December 2023June 2024 vs December 2025June 2024 vs June 2025June 2024 vs December 2024June 2024 vs December 2023December 2023 vs December 2025December 2023 vs June 2025December 2023 vs December 2024December 2023 vs June 2024
Asked more in June 2025
- Metric Spaces+3.0 pp
3.0% (3) in June 2025 · 0.0% (0) in June 2024
- Eigenvalues and Canonical Forms+2.0 pp
6.0% (6) in June 2025 · 4.0% (4) in June 2024
- Probability+2.0 pp
11.0% (11) in June 2025 · 9.0% (9) in June 2024
Asked more in June 2024
- Continuity and Differentiation-3.0 pp
2.0% (2) in June 2025 · 5.0% (5) in June 2024
- Estimation-3.0 pp
3.0% (3) in June 2025 · 6.0% (6) in June 2024
- The Real Line-2.0 pp
5.0% (5) in June 2025 · 7.0% (7) in June 2024
Present on one paper and absent from the other
Absent from one sitting is not absent from the syllabus. A topic carrying two questions one session and none the next has told you almost nothing.
Only in June 2025
- Lebesgue Measure and Integration · 1
- Metric Spaces · 3
Only in June 2024
- — none
Every topic, both papers
| Topic | June 2025 | June 2024 | Change |
|---|---|---|---|
| ProbabilityProbability, Statistics & Linear Programming | 11.0% (11) | 9.0% (9) | +2.0 pp |
| The Real LineAnalysis & Linear Algebra | 5.0% (5) | 7.0% (7) | -2.0 pp |
| Linear Models and MultivariateProbability, Statistics & Linear Programming | 6.0% (6) | 5.0% (5) | +1.0 pp |
| Rings and FieldsComplex Analysis, Algebra & Topology | 5.0% (5) | 6.0% (6) | -1.0 pp |
| Vector Spaces and Linear MapsAnalysis & Linear Algebra | 5.0% (5) | 6.0% (6) | -1.0 pp |
| Eigenvalues and Canonical FormsAnalysis & Linear Algebra | 6.0% (6) | 4.0% (4) | +2.0 pp |
| Ordinary Differential EquationsODE, PDE & Applied Mathematics | 5.0% (5) | 5.0% (5) | 0.0 pp |
| EstimationProbability, Statistics & Linear Programming | 3.0% (3) | 6.0% (6) | -3.0 pp |
| Inner Product Spaces and FormsAnalysis & Linear Algebra | 4.0% (4) | 4.0% (4) | 0.0 pp |
| Limit Theorems and Markov ChainsProbability, Statistics & Linear Programming | 4.0% (4) | 4.0% (4) | 0.0 pp |
| Partial Differential EquationsODE, PDE & Applied Mathematics | 4.0% (4) | 4.0% (4) | 0.0 pp |
| Cauchy TheoryComplex Analysis, Algebra & Topology | 3.0% (3) | 4.0% (4) | -1.0 pp |
| Continuity and DifferentiationAnalysis & Linear Algebra | 2.0% (2) | 5.0% (5) | -3.0 pp |
| GroupsComplex Analysis, Algebra & Topology | 4.0% (4) | 3.0% (3) | +1.0 pp |
| Calculus of VariationsODE, PDE & Applied Mathematics | 3.0% (3) | 3.0% (3) | 0.0 pp |
| Hypothesis TestingProbability, Statistics & Linear Programming | 3.0% (3) | 3.0% (3) | 0.0 pp |
| Linear Integral EquationsODE, PDE & Applied Mathematics | 3.0% (3) | 3.0% (3) | 0.0 pp |
| Numerical AnalysisODE, PDE & Applied Mathematics | 3.0% (3) | 3.0% (3) | 0.0 pp |
| Sequences and Series of FunctionsAnalysis & Linear Algebra | 3.0% (3) | 2.0% (2) | +1.0 pp |
| Classical MechanicsODE, PDE & Applied Mathematics | 2.0% (2) | 2.0% (2) | 0.0 pp |
| Sampling and Design of ExperimentsProbability, Statistics & Linear Programming | 2.0% (2) | 2.0% (2) | 0.0 pp |
| Analytic FunctionsComplex Analysis, Algebra & Topology | 2.0% (2) | 1.0% (1) | +1.0 pp |
| Functions of Several VariablesAnalysis & Linear Algebra | 1.0% (1) | 2.0% (2) | -1.0 pp |
| IntegrationAnalysis & Linear Algebra | 2.0% (2) | 1.0% (1) | +1.0 pp |
| Metric SpacesAnalysis & Linear Algebra | 3.0% (3) | 0.0% (0) | +3.0 pp |
| Singularities and ResiduesComplex Analysis, Algebra & Topology | 1.0% (1) | 2.0% (2) | -1.0 pp |
| TopologyComplex Analysis, Algebra & Topology | 1.0% (1) | 2.0% (2) | -1.0 pp |
| Zeros and MappingsComplex Analysis, Algebra & Topology | 2.0% (2) | 1.0% (1) | +1.0 pp |
| Linear ProgrammingProbability, Statistics & Linear Programming | 1.0% (1) | 1.0% (1) | 0.0 pp |
| Lebesgue Measure and IntegrationAnalysis & Linear Algebra | 1.0% (1) | 0.0% (0) | +1.0 pp |
24 of 30 topics moved by less than 1.5 percentage points and are greyed out — at four to thirteen questions a topic, a swing of one or two questions is noise, not a signal.
Two sittings are two sittings. Everything above describes what these two papers contained. None of it predicts the next one, and a topic that fell here is not a topic to drop — the examiners are not running a trend. The aggregate across every complete paper is the more reliable number, and it is still only four papers.