plumiActivity networks and critical paths: OCR MEI A‑Level Further Maths questions
OCR MEI 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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All 14 questions on Activity networks and critical paths, as a list
- June 2025, Modelling with Algorithms, Q3 (12 marks): The table lists the duration (in hours) and immediate predecessors for each activity in a project. Duration Immediate Activity (hours) predecessors A 3 – B 5 A
- June 2025, AS Modelling with Algorithms, Q7 (12 marks): The diagram shows an activity network for a project. Each activity is represented by an arc. The expressions in brackets show the duration of these activities i
- June 2024, Modelling with Algorithms, Q5 (11 marks): The table in Fig. 5.1 lists the immediate predecessors for each of the eleven activities in a project. Fig. 5.1 Activity Immediate predecessors A - B - C - D A
- June 2024, AS Modelling with Algorithms, Q3 (10 marks): The diagram shows an activity network for a project. The number in brackets show the duration of these activities in hours. F(7) A (4) G(4) J (4) D (2) B(3) K(3
- June 2023, AS Modelling with Algorithms, Q4 (12 marks): Fig. 4.1 shows an activity network for a project. The arc weights show activity durations in days. Fig. 4.1 D(8) E(4) I(6) A(4) K(8) B(7) F(7) J(11) G(3) C(5) L
- June 2022, Modelling with Algorithms, Q3 (6 marks): Activity Independent Float A 0 5 12 7 14 D B 7 C 0 J A I D 0 14 14 B E 0 0 0 20 20 G F 2 E G 2 H K C H 0 F 10 10 17 17 I 0 J 1 K 0 Fig. 3.1 Fig. 3.2 Fig. 3.1 sh
- June 2022, AS Modelling with Algorithms, Q4 (13 marks): Fig. 4.1 shows an activity network for a project. The arc weights show activity duration in hours. J(y) D(2) K(7) A(5) E(4) B(x) I(2) F(8) C(3) L(5) G(1) H(7) F
- November 2021, Modelling with Algorithms, Q2 (11 marks): The table below shows the activities involved in a project, together with their immediate predecessors. The table also gives the duration (in hours) of each act
- November 2021, AS Modelling with Algorithms, Q1 (7 marks): E(6) A(3) H(2) D(4) B(4) I(6) F(6) J(7) C(5) G(3) The diagram shows an activity network for a project. The numbers in brackets show the duration of the activiti
- November 2020, Modelling with Algorithms, Q4 (13 marks): The following LP formulation can be used to find the minimum completion time, T, for the 11 activities A, B, …, K in a project. The durations of the activities
- November 2020, AS Modelling with Algorithms, Q1 (4 marks): The table in Fig. 1 lists the immediate predecessors required for each activity in a project. Activity Immediate predecessors A – B – C A D A, B E A, B F C, D G
- June 2019, Modelling with Algorithms, Q2 (13 marks): The table in Fig. 2.1 lists the duration (in minutes) and immediate predecessors for each activity in a project. Activity Duration Immediate (minutes) predecess
- June 2019, AS Modelling with Algorithms, Q2 (12 marks): The network in Fig. 2.1 represents a project using activity on arc. The durations of the activities are not yet shown. E A B F I K G D C L H J Fig. 2.1 (a) Comp
- June 2018, AS Modelling with Algorithms, Q5 (9 marks): Fig. 5 shows an activity network for a project. Each activity is represented by an arc. The early event times and late event times are shown at each vertex. 5 9
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