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Network flows: Edexcel A‑Level Further Maths questions

Edexcel A-Level Further Maths past-paper questions on 6.1 Network flows, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

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789 questions

  1. Q4

    June 2025 · Decision 2

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  2. Q2

    June 2025 · AS Decision 2

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  3. Q1

    June 2024 · Decision 2

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  4. Q1

    June 2023 · Decision 2

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  5. Q2

    June 2023 · AS Decision 2

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  6. Q4

    June 2022 · Decision 2

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  7. Q2

    June 2022 · AS Decision 2

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  8. Q5

    November 2020 · Decision 2

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  9. Q1

    November 2020 · AS Decision 2

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  10. Q6

    June 2019 · Decision 2

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  11. Q3

    June 2019 · AS Decision 2

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All 11 questions on Network flows, as a list
  1. June 2025, Decision 2, Q4 (11 marks): A E F C1 C1 C2 C2 D G C T S (20, 40) (2, 33) (16, 35) (6, 13) (5, 12) (0, 11) (3, 19) (2, 6) (31, 43) (3, 5) (13, 27) (2, 9) (3, 16) (2, 15) (2, 6) (20, 25) (0,
  2. June 2025, AS Decision 2, Q2 (11 marks): Figure 1 Figure 1 shows a capacitated, directed network of pipes. The number on each arc represents the capacity of the corresponding pipe. The numbers in circl
  3. June 2024, Decision 2, Q1 (10 marks): 2 2 13 x 12 12 15 10 19 7 15 8 13 13 5 5 4 4 17 11 16 16 10 4 11 8 12 y 7 5 C1 A D E F T S B C C1 Figure 1 Figure 1 shows a capacitated, directed network of pip
  4. June 2023, Decision 2, Q1 (7 marks): C2 C2 C1 C1 A F T E C S B D 12 17 10 10 4 52 29 4 5 5 8 8 2 6 22 18 18 11 11 10 17 17 15 20 26 19 21 44 Figure 1 Figure 1 shows a capacitated, directed network
  5. June 2023, AS Decision 2, Q2 (9 marks): S A B C D E F G H 7 15 32 18 8 18 18 17 1 39 5 6 4 2 3 21 0 2 0 0 7 28 36 64 0 4 0 9 0 31 0 0 8 8 5 5 J T 2 13 Figure 1 An engineer monitors a system of pipes t
  6. June 2022, Decision 2, Q4 (9 marks): C1 20 33 41 30 17 6 14 22 53 75 24 8 4 14 30 A B C D S T E F G C1 C2 C2 20 29 41 25 15 6 14 22 42 72 19 5 4 9 30 10 12 Figure 1 Figure 1 shows a capacitated, di
  7. June 2022, AS Decision 2, Q2 (9 marks): C C2 C2 C1 C1 S F H A D G T B E 18 32 13 23 8 6 5 6 6 12 19 13 16 3 42 10 10 37 5 18 27 9 23 5 6 4 6 2 10 16 8 3 37 10 10 31 5 10 Figure 1 Figure 1 shows a capa
  8. November 2020, Decision 2, Q5 (10 marks): C1 C1 A D C B E F G H J (5, 8) (5, 7) (6, 10) (1, 2) (0, 2) (4, 6) (4, 8) (1, 6) (1, 1) (0, 4) (2, 3) (3, 6) (4, 6) (3, 7) (4, 5) (2, 5) (5, 7) Figure 2 Figure
  9. November 2020, AS Decision 2, Q1 (9 marks): S A D B C C1 C2 F E T 15 15 29 26 23 y 26 23 17 7 18 15 13 10 8 5 37 32 18 18 12 12 7 0 14 x 12 10 C1 C2 Figure 1 Figure 1 shows a capacitated, directed network
  10. June 2019, Decision 2, Q6 (8 marks): B H C2 C2 C1 C1 D E F C G A S T (3, 6) (5, 7) (4, 7) (5, 8) (6, 8) (5, 6) (4, 7) (17, 20) (10, 12) (10, 14) (2, 4) (13, 17) (8, 11) (7, 9) (0, 4) (3, 5) (3, 5)
  11. June 2019, AS Decision 2, Q3 (10 marks): 14 A B C D E F G H J S T 18 4 6 7 24 2 7 2 3 0 11 5 3 0 5 19 14 7 26 0 2 6 5 6 12 0 12 2 6 0 4 5 17 21 4 0 7 Figure 1 Alexa is monitoring a system of pipes thro

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