plumiNetwork flows: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on DC Network flows, 2019–2025, with its mark scheme and examiner’s report.
Paper
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All 14 questions on Network flows, as a list
- June 2025, Paper 3 Discrete, Q6 (6 marks): The network below represents a system of pipes that transport chemicals at a factory. The numbers on each arc represent the lower and upper capacity of each pip
- June 2025, AS Paper 2 Discrete, Q1 (1 mark): A student is solving a network flow problem involving water pipes. They have correctly found a flow through the network of 36 m3 s–1 They have correctly found a
- June 2024, Paper 3 Discrete, Q8 (8 marks): Figure 1 shows a network of water pipes. The number on each arc represents the upper capacity for each pipe in litres per second. The numbers in the circles rep
- June 2024, AS Paper 2 Discrete, Q8 (7 marks): The diagram below shows a network of pipes. A C B D 4 4 8 6 8 5 5 8 12 12 10 10 12 E T S 10 8 8 x y z 8 3 2 2 10 The uncircled numbers on each arc represent the
- June 2023, Paper 3 Discrete, Q4 (5 marks): The network below represents a system of water pipes in a geothermal power station. The numbers on each arc represent the lower and upper capacity for each pipe
- June 2023, AS Paper 2 Discrete, Q2 (1 mark): The diagram below shows a network of pipes with their capacities. A B C D 42 42 42 42 42 42 42 42 42 42 F E I H G A supersource is added to the network. Which n
- June 2022, Paper 3 Discrete, Q8 (10 marks): Figure 1 shows a network of gas pipes. The numbers on each arc represent the lower and upper capacity for each pipe in m3 s−1 The numbers in the circles represe
- June 2022, AS Paper 2 Discrete, Q2 (4 marks): The diagram shows a network of pipes. Each pipe is labelled with its upper capacity in m3 s−1 H D G E I F 80 60 55 45 60 70 50 100 120 A C B 110 140 150 2 (a) F
- November 2021, Paper 3 Discrete, Q2 (1 mark): The network below represents a system of pipes. The numbers on each arc represent the lower and upper capacity for each pipe. A B 0,10 D E G H I 2,15 0,16 3,9 4
- November 2021, AS Paper 2 Discrete, Q3 (4 marks): The diagram shows a network of pipes. Each pipe is labelled with its upper capacity in m3 s−1 Cut X A D F G C B E 25 40 10 10 30 20 25 35 15 Cut Y 3 (a) Find th
- November 2020, Paper 3 Discrete, Q1 (1 mark): The diagram below shows a network of pipes with their capacities. P 15 7 7 4 8 17 14 12 7 5 Q Y Z X V U W A supersource and a supersink will be added to the net
- November 2020, AS Paper 2 Discrete, Q1 (1 mark): The network represents a system of pipes. The number on each arc represents the upper capacity for each pipe in cm3 s−1 40 40 10 5 5 20 10 20 20 20 20 20 S A C
- June 2019, Paper 3 Discrete, Q7 (10 marks): Figure 1 shows a system of water pipes in a manufacturing complex. The number on each arc represents the upper capacity for each pipe in litres per second. The
- June 2019, AS Paper 2 Discrete, Q1 (1 mark): The network represents a system of pipes. The number on each arc represents the upper capacity for each pipe in cm3 s−1 10 5 7 6 9 5 5 15 10 10 10 A B D T C E S
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