plumiNetworks: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on DB Networks, 2019–2025, with its mark scheme and examiner’s report.
Paper
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Exam
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All 18 questions on Networks, as a list
- June 2025, Paper 3 Discrete, Q4 (5 marks): A water company is planning to install a new sewer system between 5 districts of a city. The lengths, in miles, of possible sewer pipes between districts is sho
- June 2025, AS Paper 2 Discrete, Q7 (6 marks): Maria is planning a tour of six towns A, B, C, D, E and F On the tour, Maria will visit each town at least once, starting and finishing at A Maria’s aim is to m
- June 2024, Paper 3 Discrete, Q2 (1 mark): A student is trying to find the solution to the travelling salesperson problem for a network. They correctly find two lower bounds for the solution: 15 and 19 T
- June 2024, Paper 3 Discrete, Q5 (4 marks): The owners of a sports stadium want to install electric car charging points in each of the stadium’s nine car parks. An engineer creates a plan which requires i
- June 2024, Paper 3 Discrete, Q6 (6 marks): A company delivers parcels to houses in a village, using a van. The network below shows the roads in the village. Each node represents a road junction and the w
- June 2024, AS Paper 2 Discrete, Q5 (4 marks): A network of roads connects the villages A, B, C, D, E, F and G The weight on each arc in the network represents the distance, in miles, between adjacent villag
- June 2023, Paper 3 Discrete, Q6 (8 marks): A council wants to grit all of the roads on a housing estate. The network shows the roads on a housing estate. Each node represents a junction between two or mo
- June 2023, AS Paper 2 Discrete, Q7 (7 marks): A construction company has built eight wind turbines on a moorland site. The network below shows nodes which represent the site entrance, E, and the wind turbin
- June 2022, Paper 3 Discrete, Q5 (6 marks): A council wants to convert all of the street lighting in a village to use LED lighting. The network below shows each street in the village. Each node represents
- June 2022, AS Paper 2 Discrete, Q4 (5 marks): Alun, a baker, delivers bread to community shops located in Aber, Bangor, Conwy, and E’bach. Alun starts and finishes his journey at the bakery, which is locate
- November 2021, Paper 3 Discrete, Q3 (8 marks): A mining company wants to open a new mine in an area where the ground contains a precious metal. The mining company has carried out a survey of the area. The ne
- November 2021, Paper 3 Discrete, Q4 (7 marks): Derrick, a tanker driver, is required to deliver fuel to 6 different service stations A, B, C, D, E and F. Derrick needs to begin and finish his delivery journe
- November 2021, AS Paper 2 Discrete, Q7 (7 marks): A jeweller is making pendants. Each pendant is made by bending a single, continuous strand of wire. Each pendant has the same design as shown below. 10 E F 12 1
- November 2020, Paper 3 Discrete, Q3 (7 marks): A company is installing an internal telephone network between the offices in a council building. Each office is required to be connected with telephone cables,
- November 2020, Paper 3 Discrete, Q4 (6 marks): Joe, a courier, is required to deliver parcels to six different locations, A, B, C, D, E and F. Joe needs to start and finish his journey at the depot. The dist
- November 2020, AS Paper 2 Discrete, Q6 (7 marks): A garden has seven statues A, B, C, D, E, F and G, with paths connecting each pair of statues, either directly or indirectly. To provide better access to all th
- June 2019, Paper 3 Discrete, Q6 (6 marks): A council wants to monitor how long cars are being parked for in short-stay parking bays in a town centre. They employ a traffic warden to walk along the street
- June 2019, AS Paper 2 Discrete, Q6 (13 marks): The diagram shows a nature reserve which has its entrance at A, eight information signs at B, C, ..., I, and fifteen grass paths. The length of each grass path
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