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Solutions to all three questions of the University of Oxford Part B algebraic curve paper, sat on 6 June 2023. Source: Oxford's released examination PDF, compilation pages 218–220; paper pages 1–3. The solutions use the paper's labels. Curves in Question 1 are understood to be reduced plane curves; the qualification concerning lines in 2(a), and the unnecessary restriction on the half-period values in 3(d), are discussed where they arise.

Original solutions to all three questions of the University of Oxford Part B algebraic number theory paper, sat on 30 May 2023. Source: Oxford's released examination PDF, bundle pages 241–242; paper pages 1–2. The cover prints the formal code A12171W without a final digit. In 2(b)(iii), the printed assertion about a principal ideal domain is false as written; the solution identifies the error and proves the intended principal ideal ring assertion and its consequence.

Original solutions to past classical mechanics examinations at the University of Oxford.

Solutions to all three questions of the University of Oxford Part B classical mechanics examination, sat on 16 June 2023. Source: original released PDF, bundle pages 260–263; paper pages 1–4.

Solutions to all three questions of the University of Oxford Differential Equations II paper, sat on 25 June 2021. Source: released examination PDF, bundle pages 111–113; questions on pages 112–113.

Solutions to all three questions of the University of Oxford Differential Equations II paper, sat on 22 June 2023. Source: released examination PDF, parent PDF pages 118–120; questions on pages 119–120. Question statements are omitted. In Question 2(b), the usual interpretation that the forcing extends continuously to the closed interval is distinguished from continuity only in the interior.

Solutions to all three questions of the University of Oxford Part A fluids and waves paper, sat on 24 June 2021. Source: original released PDF, bundle pages 236–238; paper pages 1–3.

Solutions to all three questions of the University of Oxford Part A fluids and waves paper, sat on 16 June 2023. Source: original released PDF, bundle pages 242–245; paper pages 1–4. Question statements are omitted. Throughout, the liquid has constant positive mass density $\rho$; a nonzero doublet and positive bending stiffness are understood in the corresponding questions.

Original solutions to all three questions of the University of Oxford Part B Introduction to representation theory course of the University of Oxford examination, held on 29 May 2023. Source: released examination PDF, bundle pages 212–213; paper pages 1–2. The original numeric, letter and roman numbering is retained. All associative algebras and modules below are unital; the characters in Questions 2 and 3 are those of finite-dimensional complex representations.

Solutions to all three questions of the University of Oxford Part A linear algebra paper, sat on 15 June 2021. Source: released examination PDF, parent PDF pages 253–254; paper pages 1–2. All questions and parts are covered, including both alternatives in questions asking whether an assertion is true.

Solutions to all three questions of the University of Oxford Part A linear algebra paper, sat on 20 June 2023. Source: released examination PDF, parent PDF pages 258–260; paper pages 1–3. Question labels follow the paper; the solutions supply their own reasoning. Part 2(c) includes the exceptional case of characteristic of a field three because that part does not specify its field separately.

Solutions to all six questions of the University of Oxford Part A metric space and complex analysis paper, sat on 14 June 2021. Source: released examination PDF, compilation pages 54–58; paper pages 1–5. The examination counted the best four answers; all six are covered here. The printed request in 6(c)(i) is impossible for the stated planar domain: its solution proves this and gives the precise map obtained when the missing point at infinity is accounted for.

Solutions to all six questions of the University of Oxford Part A metric space and complex analysis paper, sat on 12 June 2023. Source: released examination PDF, compilation pages 65–68; paper pages 1–4. The solutions retain the paper's labels. In 2(b)(i), the printed zero case $m\ne 0$ is inconsistent with its one case; the solution explicitly uses the intended $m\ne n$. The extra closing parenthesis in the printed definition of the supremum norm metric has no mathematical effect.

Solutions to all three questions of the University of Oxford numerical linear algebra paper, sat on 2 June 2025. Source: released examination PDF, parent PDF pages 1–3. The question statements are omitted. The Gaussian-matrix estimates in parts 2(b)(v) and 3(b)(iv) are used as the paper explicitly permits; their limitations are explained in those solutions.

Original solutions to past quantum theory examinations at the University of Oxford.

Solutions to all three questions of the University of Oxford Part A quantum theory paper, sat on 16 June 2021. Source: original released PDF, bundle pages 145–148; paper pages 1–4. The symbol $\hslash$ denotes the reduced Planck constant. All four measurement experiments in question 1(c) start independently from the wavefunction in question 1(b).

Solutions to all three questions of the University of Oxford Part A quantum theory paper, sat on 22 June 2023. Source: original released PDF, bundle pages 153–156; paper pages 1–4. Question statements are omitted. The symbol $\hslash$ denotes the reduced Planck constant.

Solutions to all three questions of the University of Oxford Part A paper on rings and modules, sat on 23 June 2021. Source: Oxford-released examination PDF, parent PDF pages 223–225; paper pages 1–3.

Solutions to all three questions of the University of Oxford Part A paper on rings and modules, sat on 23 June 2023. Source: Oxford-released examination PDF, parent PDF pages 229–231; paper pages 1–3.

Original solutions to all three questions of the University of Oxford Part A topology examination, sat on 25 June 2021. Source: officially released examination PDF, parent PDF pages 94–96; printed paper pages 1–3. All 25 answer parts are covered, including every alternative. Only the best two questions counted towards the examination mark.