June 2025 against December 2024
What one sitting asked that the other did not — as a share of each paper, because June 2025 carries 100 subject questions and December 2024 carries 200. Comparing raw counts across papers of different sizes invents a trend in every row.
Asked more in June 2025
- Probability+6.0 pp
11.0% (11) in June 2025 · 5.0% (10) in December 2024
- Vector Spaces and Linear Maps+2.0 pp
5.0% (5) in June 2025 · 3.0% (6) in December 2024
- Metric Spaces+2.0 pp
3.0% (3) in June 2025 · 1.0% (2) in December 2024
Asked more in December 2024
- Estimation-3.0 pp
3.0% (3) in June 2025 · 6.0% (12) in December 2024
- Limit Theorems and Markov Chains-2.5 pp
4.0% (4) in June 2025 · 6.5% (13) in December 2024
- Hypothesis Testing-1.5 pp
3.0% (3) in June 2025 · 4.5% (9) in December 2024
- Determinants and Matrix Tricks-1.5 pp
0.0% (0) in June 2025 · 1.5% (3) in December 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
- — none
Only in December 2024
- Determinants and Matrix Tricks · 3
Every topic, both papers
| Topic | June 2025 | December 2024 | Change |
|---|---|---|---|
| ProbabilityProbability, Statistics & Linear Programming | 11.0% (11) | 5.0% (10) | +6.0 pp |
| Eigenvalues and Canonical FormsAnalysis & Linear Algebra | 6.0% (6) | 6.0% (12) | 0.0 pp |
| Ordinary Differential EquationsODE, PDE & Applied Mathematics | 5.0% (5) | 6.0% (12) | -1.0 pp |
| Linear Models and MultivariateProbability, Statistics & Linear Programming | 6.0% (6) | 5.0% (10) | +1.0 pp |
| The Real LineAnalysis & Linear Algebra | 5.0% (5) | 5.5% (11) | -0.5 pp |
| Limit Theorems and Markov ChainsProbability, Statistics & Linear Programming | 4.0% (4) | 6.5% (13) | -2.5 pp |
| Rings and FieldsComplex Analysis, Algebra & Topology | 5.0% (5) | 4.5% (9) | +0.5 pp |
| EstimationProbability, Statistics & Linear Programming | 3.0% (3) | 6.0% (12) | -3.0 pp |
| GroupsComplex Analysis, Algebra & Topology | 4.0% (4) | 4.5% (9) | -0.5 pp |
| Vector Spaces and Linear MapsAnalysis & Linear Algebra | 5.0% (5) | 3.0% (6) | +2.0 pp |
| Partial Differential EquationsODE, PDE & Applied Mathematics | 4.0% (4) | 4.0% (8) | 0.0 pp |
| Inner Product Spaces and FormsAnalysis & Linear Algebra | 4.0% (4) | 3.5% (7) | +0.5 pp |
| Hypothesis TestingProbability, Statistics & Linear Programming | 3.0% (3) | 4.5% (9) | -1.5 pp |
| Numerical AnalysisODE, PDE & Applied Mathematics | 3.0% (3) | 3.0% (6) | 0.0 pp |
| Sequences and Series of FunctionsAnalysis & Linear Algebra | 3.0% (3) | 3.0% (6) | 0.0 pp |
| Calculus of VariationsODE, PDE & Applied Mathematics | 3.0% (3) | 3.0% (6) | 0.0 pp |
| Cauchy TheoryComplex Analysis, Algebra & Topology | 3.0% (3) | 2.0% (4) | +1.0 pp |
| Linear Integral EquationsODE, PDE & Applied Mathematics | 3.0% (3) | 2.0% (4) | +1.0 pp |
| Continuity and DifferentiationAnalysis & Linear Algebra | 2.0% (2) | 2.5% (5) | -0.5 pp |
| Analytic FunctionsComplex Analysis, Algebra & Topology | 2.0% (2) | 2.5% (5) | -0.5 pp |
| IntegrationAnalysis & Linear Algebra | 2.0% (2) | 2.0% (4) | 0.0 pp |
| Sampling and Design of ExperimentsProbability, Statistics & Linear Programming | 2.0% (2) | 2.0% (4) | 0.0 pp |
| Classical MechanicsODE, PDE & Applied Mathematics | 2.0% (2) | 2.0% (4) | 0.0 pp |
| Metric SpacesAnalysis & Linear Algebra | 3.0% (3) | 1.0% (2) | +2.0 pp |
| Zeros and MappingsComplex Analysis, Algebra & Topology | 2.0% (2) | 1.5% (3) | +0.5 pp |
| Functions of Several VariablesAnalysis & Linear Algebra | 1.0% (1) | 2.0% (4) | -1.0 pp |
| Singularities and ResiduesComplex Analysis, Algebra & Topology | 1.0% (1) | 2.0% (4) | -1.0 pp |
| TopologyComplex Analysis, Algebra & Topology | 1.0% (1) | 2.0% (4) | -1.0 pp |
| Lebesgue Measure and IntegrationAnalysis & Linear Algebra | 1.0% (1) | 1.0% (2) | 0.0 pp |
| Linear ProgrammingProbability, Statistics & Linear Programming | 1.0% (1) | 1.0% (2) | 0.0 pp |
| Determinants and Matrix TricksAnalysis & Linear Algebra | 0.0% (0) | 1.5% (3) | -1.5 pp |
24 of 31 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.