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Activity networks and critical paths: OCR A‑Level Further Maths questions

OCR A-Level Further Maths past-paper questions on 3.1 Activity networks and critical paths, 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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648 questions

  1. Q4

    June 2025 · Discrete Mathematics

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  2. Q6

    June 2025 · AS Discrete Mathematics

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  3. Q4

    June 2024 · Discrete Mathematics

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  4. Q4

    June 2024 · AS Discrete Mathematics

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  5. Q1

    June 2023 · Discrete Mathematics

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  6. Q5

    June 2023 · AS Discrete Mathematics

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  7. Q2

    June 2022 · Discrete Mathematics

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  8. Q2

    June 2022 · AS Discrete Mathematics

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  9. Q6

    November 2021 · AS Discrete Mathematics

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  10. Q6

    November 2020 · Discrete Mathematics

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  11. Q4

    November 2020 · AS Discrete Mathematics

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  12. Q2

    June 2019 · Discrete Mathematics

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  13. Q4

    June 2019 · AS Discrete Mathematics

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  14. Q6

    June 2018 · AS Discrete Mathematics

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All 14 questions on Activity networks and critical paths, as a list
  1. June 2025, Discrete Mathematics, Q4 (14 marks): The table shows the activities involved in a project, together with the immediate predecessors and the duration of each activity in hours. Immediate Duration Ac
  2. June 2025, AS Discrete Mathematics, Q6 (9 marks): The table shows the activities involved in a project, together with their immediate predecessors and the duration of each activity in hours. Activity Duration I
  3. June 2024, Discrete Mathematics, Q4 (16 marks): A project is represented by the activity network below. The activity durations are given in hours. C(5) A(2) F(2) D(3) G(1) B(4) E(1) (a) By carrying out a forw
  4. June 2024, AS Discrete Mathematics, Q4 (9 marks): A project is represented by the activity network below. The activity durations are given in minutes. C(3) 3 2 E(2) A(2) 0 D(2) 5 B(4) F(1) 1 4 (a) Give the reas
  5. June 2023, Discrete Mathematics, Q1 (7 marks): The table below shows the activities involved in a project together with the immediate predecessors and the duration of each activity. Activity Immediate predec
  6. June 2023, AS Discrete Mathematics, Q5 (11 marks): Hiro has been asked to organise a quiz. The table below shows the activities involved, together with the immediate predecessors and the duration of each activit
  7. June 2022, Discrete Mathematics, Q2 (9 marks): The table below shows the activities involved in a project together with the immediate predecessors and the duration of each activity. Activity Immediate predec
  8. June 2022, AS Discrete Mathematics, Q2 (7 marks): The activities involved in a project and their durations, in hours, are represented in the activity network below. A(5) C(6) F(3) D(4) B(3) G(4) E(2) (a) Carry
  9. November 2021, AS Discrete Mathematics, Q6 (11 marks): Sarah is having some work done on her garden. The table below shows the activities involved, their durations and their immediate predecessors. These durations a
  10. November 2020, Discrete Mathematics, Q6 (13 marks): A project is represented by the activity on arc network below. 3 7 D(4) J(2) A(4) E(2) 1 5 8 I(x) H(3) F(3) B(2) K(5) 2 C(1) 4 G(5) 6 The duration of each activ
  11. November 2020, AS Discrete Mathematics, Q4 (10 marks): Bob is extending his attic with the help of some friends, including his architect friend Archie. The activities involved, their durations (in days) and Bob’s no
  12. June 2019, Discrete Mathematics, Q2 (7 marks): A project is represented by the activity network and cascade chart below. The table showing the number of workers needed for each activity is incomplete. Each a
  13. June 2019, AS Discrete Mathematics, Q4 (10 marks): The table shows the activities involved in a project, their durations in hours and their immediate predecessors. The activities can be represented as an activit
  14. June 2018, AS Discrete Mathematics, Q6 (17 marks): Sheona and Tim are making a short film. The activities involved, their durations and immediate predecessors are given in the table below. Activity Duration (day

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