FINAL EXAM QUESTION PAPER
(AUTHENTIC MARKING SCHEME ATTACHED).
A-level
FURTHER MATHEMATICS
Paper 3 Discrete
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet
for A-level Mathematics and A-level Further Mathematics. Question Mark
l You should have a scientific calculator that meets the
requirements of the specification. 1
l You must ensure you have the other optional Question 2
Paper/Answer Book for which you are entered (either Mechanics or
Statistics). You will have 2 hours to complete both papers. 3
Instructions 4
l Use black ink or black ball-point pen. Pencil should only be used for 5
drawing.
l Fill in the boxes at the top of this page. 6
l Answer all questions.
l You must answer each question in the space provided for that 7
question. 8
If you require extra space for your answer(s), use the lined pages
at the end of this book. Write the question number against your 9
answer(s). 10
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be TOTAL
lost.
l Do all rough work in this book. Cross through any work that you do
not want to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 50.
,Advice
l Unless stated otherwise, you may quote formulae, without proof, from the Do not write
outside the
booklet. box
l You do not necessarily need to use all the space provided.
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There are no questions printed on this page
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
,(02)
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, 3
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The graph G has a subgraph isomorphic to K5, the complete graph with 5 vertices.
Which of the following statements about G must be true?
Tick (3) one box.
[1 mark]
G is not connected
G is not Hamiltonian
G is not planar
G is not simple
2 Graph A is a connected planar graph with 12 vertices, 18 edges and n faces.
Find the value of n
Circle your answer.
[1 mark]
4 8 28 32
Turn over for the next question
Turn over
s
(03)
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