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Flows, game theory and dynamic programming: OCR MEI A‑Level Further Maths questions

Every OCR MEI A-Level Further Maths exam question on D.6 Flows, game theory and dynamic programming, 2018–2025, with its mark scheme and examiner’s report.

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847 questions

  1. Q5

    June 2025 · AS Modelling with Algorithms

    The whole paper ↗
    June 2025 AS Modelling with Algorithms, question 5: The diagram represents a system of pipes through which water flows continuously from a source S to a sink T. The weights on the arcs show the capacities of the
  2. Q3

    June 2024 · Modelling with Algorithms

    The whole paper ↗
    June 2024 Modelling with Algorithms, question 3: A directed network consists of eight nodes, S, A, B, C, D, E, F and T, and seventeen arcs. The arcs represent a system of pipes through which a fluid flows cont
  3. Q5

    June 2023 · Modelling with Algorithms

    No published mark scheme
    The whole paper ↗
    June 2023 Modelling with Algorithms, question 5: H 12 31 9 D 28 A G 10 5 42 T 6 S 10 3 E 12 29 25 5 F 8 19 7 B C I 20 13 The diagram represents a system of pipes through which a fluid flows continuously from a
  4. Q1

    June 2023 · AS Modelling with Algorithms

    The whole paper ↗
    June 2023 AS Modelling with Algorithms, question 1: Fig. 1.1 I a 10 E 2 1 C 11 6 2 H 17 5 2 8 G 4 J 13 A 12 5 10 10 10 K B D 6 7 F a The diagram in Fig. 1.1 represents a system of pipes through which a fluid can
  5. Q1

    June 2022 · Modelling with Algorithms

    The whole paper ↗
    June 2022 Modelling with Algorithms, question 1: A 15 F H 3 D 24 20 34 I 17 B 8 15 25 14 25 10 E 24 J 12 C 39 G 29 K Fig. 1.1 The diagram in Fig. 1.1 represents a system of pipes through which a fluid can flow
  6. Q5

    June 2022 · AS Modelling with Algorithms

    The whole paper ↗
    June 2022 AS Modelling with Algorithms, question 5: Fig. 5.1 represents a system of pipes through which a fluid flows continuously from a source S to a sink T. The weight on the arcs show the capacities of the pi
  7. Q4

    November 2021 · Modelling with Algorithms

    The whole paper ↗
    November 2021 Modelling with Algorithms, question 4: Fig. 4.1 represents a system of pipes through which fluid can flow from a source, S, to a sink, T. It also shows two cuts, a and b. The arc weights show capacit
  8. Q3

    November 2020 · Modelling with Algorithms

    The whole paper ↗
    November 2020 Modelling with Algorithms, question 3: a C G 80 45 60 A K 30 55 45 D H 50 45 25 55 25 L 35 20 65 I E 45 B 30 20 30 15 55 M 70 F J 75 a Fig. 3 The diagram in Fig. 3 represents a system of pipes throug
  9. Q5

    November 2020 · AS Modelling with Algorithms

    The whole paper ↗
    November 2020 AS Modelling with Algorithms, question 5: Fig. 5 represents a system of pipes through which water flows continuously from a source S to a sink T. The weights on the arcs show the capacities of the pipes
  10. Q3

    June 2019 · Modelling with Algorithms

    The whole paper ↗
    June 2019 Modelling with Algorithms, question 3: Fig. 3 represents a system of pipes through which fluid flows continuously from a source node, S, to a sink node, T. The weight on each arc shows the capacity o
  11. Q4

    June 2019 · AS Modelling with Algorithms

    The whole paper ↗
    June 2019 AS Modelling with Algorithms, question 4: A D 17 G 22 53 24 15 E B 40 H 18 20 25 C I 30 F 27 Fig. 4.1 Fig. 4.1 shows a network representing a system of pipes. Fluid flows continuously from three sources
  12. Q2

    June 2018 · AS Modelling with Algorithms

    The whole paper ↗
    June 2018 AS Modelling with Algorithms, question 2: Fig. 2 represents a system of one-way roads through which traffic flows from a source, S, to a sink, T. The weights on the arcs show the capacities of the roads
All 12 questions on Flows, game theory and dynamic programming, as a list
  1. June 2025, AS Modelling with Algorithms, Q5 (12 marks): The diagram represents a system of pipes through which water flows continuously from a source S to a sink T. The weights on the arcs show the capacities of the
  2. June 2024, Modelling with Algorithms, Q3 (11 marks): A directed network consists of eight nodes, S, A, B, C, D, E, F and T, and seventeen arcs. The arcs represent a system of pipes through which a fluid flows cont
  3. June 2023, Modelling with Algorithms, Q5 (10 marks): H 12 31 9 D 28 A G 10 5 42 T 6 S 10 3 E 12 29 25 5 F 8 19 7 B C I 20 13 The diagram represents a system of pipes through which a fluid flows continuously from a
  4. June 2023, AS Modelling with Algorithms, Q1 (6 marks): Fig. 1.1 I a 10 E 2 1 C 11 6 2 H 17 5 2 8 G 4 J 13 A 12 5 10 10 10 K B D 6 7 F a The diagram in Fig. 1.1 represents a system of pipes through which a fluid can
  5. June 2022, Modelling with Algorithms, Q1 (7 marks): A 15 F H 3 D 24 20 34 I 17 B 8 15 25 14 25 10 E 24 J 12 C 39 G 29 K Fig. 1.1 The diagram in Fig. 1.1 represents a system of pipes through which a fluid can flow
  6. June 2022, AS Modelling with Algorithms, Q5 (10 marks): Fig. 5.1 represents a system of pipes through which a fluid flows continuously from a source S to a sink T. The weight on the arcs show the capacities of the pi
  7. November 2021, Modelling with Algorithms, Q4 (13 marks): Fig. 4.1 represents a system of pipes through which fluid can flow from a source, S, to a sink, T. It also shows two cuts, a and b. The arc weights show capacit
  8. November 2020, Modelling with Algorithms, Q3 (11 marks): a C G 80 45 60 A K 30 55 45 D H 50 45 25 55 25 L 35 20 65 I E 45 B 30 20 30 15 55 M 70 F J 75 a Fig. 3 The diagram in Fig. 3 represents a system of pipes throug
  9. November 2020, AS Modelling with Algorithms, Q5 (10 marks): Fig. 5 represents a system of pipes through which water flows continuously from a source S to a sink T. The weights on the arcs show the capacities of the pipes
  10. June 2019, Modelling with Algorithms, Q3 (10 marks): Fig. 3 represents a system of pipes through which fluid flows continuously from a source node, S, to a sink node, T. The weight on each arc shows the capacity o
  11. June 2019, AS Modelling with Algorithms, Q4 (13 marks): A D 17 G 22 53 24 15 E B 40 H 18 20 25 C I 30 F 27 Fig. 4.1 Fig. 4.1 shows a network representing a system of pipes. Fluid flows continuously from three sources
  12. June 2018, AS Modelling with Algorithms, Q2 (6 marks): Fig. 2 represents a system of one-way roads through which traffic flows from a source, S, to a sink, T. The weights on the arcs show the capacities of the roads

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