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10 MATH40005 GRAPHICS AND FILE QA REPORT

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: e2497ad6e4563195affa50466e2c45f14ad899494d570edb658c4a89a688b402
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.

Mathematical content of source page 1 with translated prose supplied below
English passage 1 (7% down the source page) MATH40005 Figures, mathematics and files QA report (final )
English passage 2 (12% down the source page) Executed in total in this review 393 structure, coverage and mathematics checks , PDF, Figure and website-import checks :PASS 393,FAIL 0. Core acceptance results
English passage 3 (18% down the source page) Item Result Explain
English passage 4 (21% down the source page) Structure of the six papers PASS Each paper 4 questions , 80 marks , 120 minutes ;A32/B20/C12/D16
English passage 5 (23% down the source page) Effective coverage PASS A+B=227/252=90.1%;C not counted
English passage 6 (26% down the source page) High-mark ability PASS 47/47=100%;2025 five 5 abilities above this mark level are all A
English passage 7 (28% down the source page) Mathematical review PASS 31 Independent numerical terms / Check signs
English passage 8 (30% down the source page) PDF Precheck PASS 24 copies PDF None preflight warnings, no blank pages; assess the Chinese report by its rendered output
English passage 9 (33% down the source page) Figures PASS Triangular and curved regions , Q-Q Plot , U Shaped and funnel-shaped residual plots are actually embedded
English passage 10 (35% down the source page) Version isolation PASS Old 1-12 practice papers PDF Not included in the active package
English passage 11 (39% down the source page) Check details (summary )
English passage 12 (43% down the source page) Category Check item Result Explain
English passage 13 (46% down the source page) Version Course code PASS MATH40005
English passage 14 (48% down the source page) Version Active version PASS REVISED_HISTORICAL_COVERAGE_v2
English passage 15 (50% down the source page) structure Six papers PASS count=6
English passage 16 (53% down the source page) structure math40005_revised_mock_1 total marks PASS total=80
English passage 17 (55% down the source page) structure math40005_revised_mock_1 Difficulty distribution PASS {'A': 32, 'B': 20, 'C': 12, 'D': 16}
English passage 18 (57% down the source page) structure math40005_revised_mock_2 total marks PASS total=80
English passage 19 (60% down the source page) structure math40005_revised_mock_2 Difficulty distribution PASS {'A': 32, 'B': 20, 'C': 12, 'D': 16}
English passage 20 (62% down the source page) structure math40005_revised_mock_3 total marks PASS total=80
English passage 21 (64% down the source page) structure math40005_revised_mock_3 Difficulty distribution PASS {'A': 32, 'B': 20, 'C': 12, 'D': 16}
English passage 22 (67% down the source page) structure math40005_revised_mock_4 total marks PASS total=80
English passage 23 (69% down the source page) structure math40005_revised_mock_4 Difficulty distribution PASS {'A': 32, 'B': 20, 'D': 16, 'C': 12}
English passage 24 (71% down the source page) structure math40005_revised_mock_5 total marks PASS total=80
English passage 25 (74% down the source page) structure math40005_revised_mock_5 Difficulty distribution PASS {'A': 32, 'B': 20, 'D': 16, 'C': 12}
English passage 26 (76% down the source page) structure math40005_revised_mock_6 total marks PASS total=80
English passage 27 (78% down the source page) structure math40005_revised_mock_6 Difficulty distribution PASS {'A': 32, 'B': 20, 'C': 12, 'D': 16}
English passage 28 (81% down the source page) coverage All abilities A+B>=85% PASS 227/252=90.1%; A=129, B=98, C=25
English passage 29 (83% down the source page) coverage High-mark ability 100% PASS 47/47
English passage 30 (86% down the source page) coverage 2025 High-mark question 100% PASS Q1bi=A; Q2ai=A; Q4aii=A; Q5b=A; Q6a=A
English passage 31 (88% down the source page) coverage None D Best grade PASS D=0
English passage 32 (90% down the source page) Mathematics P1 Normalise a triangular density PASS actual=1; expected=1

Source page 2

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

Mathematical content of source page 2 with translated prose supplied below
English passage 1 (7% down the source page) Category Check item Result Explain
English passage 2 (10% down the source page) Mathematics P1 E[X] PASS actual=0.75; expected=0.75
English passage 3 (12% down the source page) Mathematics P1 E[Y] PASS actual=0.416666666667; expected=0.416666666667
English passage 4 (14% down the source page) Mathematics P1 E[XY] PASS actual=0.333333333333; expected=0.333333333333
English passage 5 (17% down the source page) Mathematics P1 Cov PASS actual=0.0208333333333; expected=0.0208333333333
English passage 6 (19% down the source page) Mathematics P1 Ratio CDF Endpoint PASS actual=1; expected=1
English passage 7 (21% down the source page) Mathematics P1 t Interval margins PASS actual=1.38459154627; expected=1.38459154627
English passage 8 (24% down the source page) Mathematics P1 t Test p value PASS actual=0.235588992195; expected=0.235588992195
English passage 9 (26% down the source page) Mathematics P1 Correlation of linear combinations PASS actual=0.754336509141; expected=0.754336509141
English passage 10 (29% down the source page) Mathematics P2 Total probability across routes PASS actual=0.06; expected=0.06
English passage 11 (31% down the source page) Mathematics P2 After intervention Bayes PASS actual=0.0384615384615; expected=0.0384615384615
English passage 12 (33% down the source page) Mathematics P2 t Interval margins PASS actual=0.898; expected=0.898
English passage 13 (36% down the source page) Mathematics P2 Lower limit of the variance interval PASS actual=1.50547445255; expected=1.50547445255
English passage 14 (38% down the source page) Mathematics P2 Upper limit of the variance interval PASS actual=8.64779874214; expected=8.64779874214
English passage 15 (40% down the source page) Mathematics P2 Two-sample z Statistic PASS actual=-3; expected=-3
English passage 16 (43% down the source page) Mathematics P2 Two-sample z p value PASS actual=0.00269979606326; expected=0.00269979606326
English passage 17 (45% down the source page) Mathematics P3 Posterior probability of measles PASS actual=0.825688073394; expected=0.825688073394
English passage 18 (47% down the source page) Mathematics P3 Exact test p value PASS actual=0.0400432900433; expected=0.0400432900433
English passage 19 (50% down the source page) Mathematics P4 Chebyshev Sample size PASS actual=12500; expected=12500
English passage 20 (52% down the source page) Mathematics P4 Lower bound for standard deviation PASS actual=1.33333333333; expected=1.33333333333
English passage 21 (54% down the source page) Mathematics P5 Exact test p value PASS actual=0.103174603175; expected=0.103174603175
English passage 22 (57% down the source page) Mathematics P5 Strict sample-size requirement for potatoes PASS
English passage 23 (59% down the source page) Mathematics P6 Posterior under low prevalence PASS actual=0.161016949153; expected=0.161016949153
English passage 24 (61% down the source page) Mathematics P6 Posterior under high prevalence PASS actual=0.678571428571; expected=0.678571428571
English passage 25 (64% down the source page) Mathematics P6 pooled t Statistic PASS actual=-3; expected=-3
English passage 26 (66% down the source page) Mathematics P6 pooled t p value PASS actual=0.00639033132592; expected=0.00639033132592
English passage 27 (69% down the source page) Mathematics P6 Lower limit of the variance interval PASS actual=1.23332212131; expected=1.23332212057
English passage 28 (71% down the source page) Mathematics P6 Upper limit of the variance interval PASS actual=12.6776796005; expected=12.6776796005
English passage 29 (73% down the source page) Mathematics P3 Normalise a density on curved support PASS actual=1
English passage 30 (76% down the source page) Mathematics P5 Three-dimensional joint moments PASS actual=1/8
English passage 31 (78% down the source page) Mathematics P6 Conditional expectation lies within the support PASS x=0.5, E=0.7619047619047619
English passage 32 (80% down the source page) Figures MATH40005_REVISED_HISTORICAL_COVERAGE_SIX_MOCKS.pdf Embedded image PASS pdfimages rows=10 (includes masks)
English passage 33 (83% down the source page) Figures MATH40005_COURSE_METHOD_AUDITED_SOLUTIONS.pdf Embedded image PASS pdfimages rows=10 (includes masks)
English passage 34 (85% down the source page) Website math40005_revised_mock_1 questions_pdf PASS individual/MATH40005_REVISED_MOCK_1_QUESTIONS.pdf
English passage 35 (87% down the source page) Website math40005_revised_mock_1 solutions_pdf PASS individual/MATH40005_REVISED_MOCK_1_SOLUTIONS.pdf
English passage 36 (90% down the source page) Website math40005_revised_mock_2 questions_pdf PASS individual/MATH40005_REVISED_MOCK_2_QUESTIONS.pdf

Source page 3

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

Mathematical content of source page 3 with translated prose supplied below
English passage 1 (7% down the source page) Category Check item Result Explain
English passage 2 (10% down the source page) Website math40005_revised_mock_2 solutions_pdf PASS individual/MATH40005_REVISED_MOCK_2_SOLUTIONS.pdf
English passage 3 (12% down the source page) Website math40005_revised_mock_3 questions_pdf PASS individual/MATH40005_REVISED_MOCK_3_QUESTIONS.pdf
English passage 4 (14% down the source page) Website math40005_revised_mock_3 solutions_pdf PASS individual/MATH40005_REVISED_MOCK_3_SOLUTIONS.pdf
English passage 5 (17% down the source page) Website math40005_revised_mock_4 questions_pdf PASS individual/MATH40005_REVISED_MOCK_4_QUESTIONS.pdf
English passage 6 (19% down the source page) Website math40005_revised_mock_4 solutions_pdf PASS individual/MATH40005_REVISED_MOCK_4_SOLUTIONS.pdf
English passage 7 (21% down the source page) Website math40005_revised_mock_5 questions_pdf PASS individual/MATH40005_REVISED_MOCK_5_QUESTIONS.pdf
English passage 8 (24% down the source page) Website math40005_revised_mock_5 solutions_pdf PASS individual/MATH40005_REVISED_MOCK_5_SOLUTIONS.pdf
English passage 9 (26% down the source page) Website math40005_revised_mock_6 questions_pdf PASS individual/MATH40005_REVISED_MOCK_6_QUESTIONS.pdf
English passage 10 (29% down the source page) Website math40005_revised_mock_6 solutions_pdf PASS individual/MATH40005_REVISED_MOCK_6_SOLUTIONS.pdf
English passage 11 (31% down the source page) Website Contains only the six active papers PASS entries=6
English passage 12 (33% down the source page) Version Old practice PDF Not mixed in PASS deprecated PDFs absent
English passage 13 (37% down the source page) Evidence limits
English passage 14 (41% down the source page) The currently accessible course evidence comprises the 2020–2026 official papers, official solutions and available examiner comments. No separate lecture notes, problem sheets, tutorials or marked work from Tony in this course were found. Official solutions therefore provide the strongest course-method evidence; this report does not claim page-by-page checks against materials that were not supplied.

Source page 4

Mathematical content of source page 4 with translated prose supplied below