Question Paper & Mark Scheme (Merged) Friday 16 May 2025
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AS
FURTHER MATHEMATICS
Paper 2 Discrete
Friday 16 May 2025 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables booklet for
Question Mark
A‑ level Mathematics and A‑ level Further Mathematics.
You should have a graphical or scientific calculator that meets the 1
requirements of the specification.
2
You must ensure you have the other optional Question Paper/Answer Book
for which you are entered (either Mechanics or Statistics). You will have 3
1 hour 30 minutes to complete both papers.
4
Instructions 5
Use black ink or black ball‑ point pen. Pencil should only be used for drawing.
Fill in the boxes at the top of this page. 6
Answer all questions. 7
You must answer each question in the space provided for that question.
If you require extra space for your answer(s), use the lined pages at the end 8
of this book. Write the question number against your answer(s). 9
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost. TOTAL
Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
The marks for questions are shown in brackets.
The maximum mark for this paper is 40.
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
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Answer all questions in the spaces provided.
1 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 cut of the network with value 36 m3 s–1
Which one of the following is correct?
Tick (🗸) one box.
[1 mark]
The maximum flow through the network is less than 36 m3 s–1
The maximum flow through the network is equal to 36 m3 s–1
The maximum flow through the network is greater than 36 m3 s–1
It is not possible to make a conclusion about the maximum flow
through the network.
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2 A simple‑ connected graph has n vertices, where n ≥ 2 box
State the minimum number of edges of the graph.
Circle your answer.
[1 mark]
n(n – 1)
n–1 n n+1
2
Turn over for the next question
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