MATH40006 Over-anchoring diagnosis

English review edition prepared on 4 October 2026 from a preserved source copy. It is a later presentation, not the historical study interface. Source checks and difficulty judgements describe the original material author's own process; they do not indicate Imperial College London endorsement.

Source SHA-256: 57b11ed42e371182719429cedfbc08554727f9d29f99ec5d72ba2db551e2c248
Source date: 2026-08-06

Source page 1

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

English passage 1 (95% down the source page) MATH40006: Diagnosis of overreliance on one examination structure Page 1

English passage 2 (7% down the source page) MATH40006: Diagnosis of overreliance on one examination structure and corrections to earlier analysis

English passage 3 (12% down the source page) New instructions supersede the earlier logic. Audit date: 2026-08-06.

English passage 4 (17% down the source page) Conclusion: the six earlier papers relied too heavily on the question approaches, first key steps and method sequences in the 2025-26 main examination. The earlier claim of 100% coverage of 46 topics merely indicated

English passage 5 (19% down the source page) that the labels had appeared; it did not demonstrate practice of historical question approaches or complete method sequences. After recoding as A/B/C/D, the earlier effective coverage rate (counting A+B only) was

English passage 6 (20% down the source page) 78.8%. The revised rate is 95.6%.

English passage 7 (23% down the source page) 1. Scope of verifiable materials

English passage 8 (26% down the source page) Category Actual accessibility Audit treatment

English passage 9 (28% down the source page) Official materials 2021-22 Assessment 3 Recode each subquestion and check against the papers / marking scheme

English passage 10 (30% down the source page) Official materials 2022-23 Assessment 3 Recode each subquestion and check against the papers / marking scheme

English passage 11 (31% down the source page) Official materials 2023-24 Assessment 3 Recode each subquestion and check against the papers / marking scheme

English passage 12 (33% down the source page) Official materials 2025-26 Assessment 2 Recode each subquestion and check against the papers / marking scheme

English passage 13 (34% down the source page) Official materials 2026 Alternative Assessment Recode each subquestion and check against the papers / marking scheme

English passage 14 (36% down the source page) Missing material 2020-21 official paper/solutions Do not fabricate; exclude from claims of complete seven-year coverage.

English passage 15 (38% down the source page) Missing material 2024-25 official paper/solutions Do not fabricate; exclude from claims of complete seven-year coverage.

English passage 16 (39% down the source page) Missing materials lecture notes/slides Do not fabricate; exclude from claims of complete seven-year coverage

English passage 17 (41% down the source page) Missing materials problem sheets/tutorial/assignments Do not fabricate; exclude from claims of complete seven-year coverage

English passage 18 (42% down the source page) Missing material Tony's feedback and marking records Do not fabricate; exclude from claims of complete seven-year coverage.

English passage 19 (44% down the source page) The report's 137 competency units therefore come from five verifiable examination documents, rather than the complete seven years of material from 2020-2026. Materials from 2020-21 and 2024-25, as well as lecture

English passage 20 (46% down the source page) notes and other resources, are missing. All earlier claims of a complete seven-year scope or equivalence to the full syllabus are withdrawn.

English passage 21 (49% down the source page) 2. Main errors in the earlier version

English passage 22 (52% down the source page) Using the 2026 question-number slots as a fixed template for all six papers

English passage 23 (55% down the source page) Practice Papers 1 and 6 both repeat the full plotting sequence for two-dimensional scalar/vector fields; Practice Paper 1 also repeats the Stern-Brocot sequence of adjacent entries, interleaving and Rational.

English passage 24 (58% down the source page) Assessing coverage solely by topic names

English passage 25 (60% down the source page) For example, the topic label prime sieve does not make the Sundaram sieve, which is absent from the materials, effective coverage of Pritchard or Eratosthenes.

English passage 26 (63% down the source page) Using method families without supporting course evidence

English passage 27 (66% down the source page) The Chebyshev recurrence was included only because its form resembles Legendre's. The available official materials do not establish that it belongs to this course's examinable scope.

English passage 28 (69% down the source page) Inflated coverage rate

English passage 29 (71% down the source page) The earlier matrix counted 16 category-C label-only items as coverage. Strict A+B coverage was only 108/137=78.8%.

English passage 30 (74% down the source page) Overstated evidence for course methods

English passage 31 (77% down the source page) Without lecture notes or problem sheets, only consistency of the main solution with the supplied official answers can be established; checks against all course materials cannot be claimed.

English passage 32 (80% down the source page) 3. Corrections

English passage 33 (83% down the source page) - Retain only one consolidation paper whose structure is closest to the 2025-26 main examination; use different historical competency combinations in the other five.

English passage 34 (85% down the source page) - Remove method families with insufficient evidence, such as Sundaram and Chebyshev, and return to Pritchard, Legendre, escape time, stability, row elimination and text search,

English passage 35 (87% down the source page) along with other methods appearing in the official materials.

English passage 36 (90% down the source page) - Construct an A/B/C/D matrix of 137 competency units against the six earlier and six revised papers; do not count C as effective coverage.

Source page 2

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

English passage 1 (95% down the source page) MATH40006: Diagnosis of overreliance on one examination structure Page 2

English passage 2 (7% down the source page) - Keep each paper at 60 minutes, 50 marks and 3 questions, allocated 20+20+10; calibrate the basic, intermediate and high-difficulty marks and estimated completion time.

English passage 3 (9% down the source page) - Use only methods verifiable in the supplied official answers for the main solutions; advanced alternatives must not be the sole reference solutions.

English passage 4 (13% down the source page) 4. Changes in coverage

English passage 5 (16% down the source page) Version A B C (spurious label-only coverage) D A+B effective coverage rate

English passage 6 (18% down the source page) Six earlier papers 98 10 16 13 78.8%

English passage 7 (19% down the source page) Six revised papers 123 8 2 4 95.6%

English passage 8 (22% down the source page) 5. Claims that cannot be made

English passage 9 (25% down the source page) Because materials from 2020-21 and 2024-25 and course resources are missing, the revised version cannot be guaranteed to cover all major competencies over seven years or to reproduce all lecture-note

English passage 10 (27% down the source page) wording exactly. The narrower finding is that A+B effective coverage is 95.6% of the 137 competency units in the five accessible official documents, and all high-mark and frequent method families

English passage 11 (28% down the source page) receive at least one effective practice opportunity.