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PAPER 3D: Decision Mathematics 1

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Read each question carefully before you start to answer it.Try to answer every question.Check your answers if you have time at the end.Good luck with your examination. Turn over P66801A *P66801A* ©2021 Pearson Education Ltd. 1/1/1/1/ Figure 1 A Hamiltonian cycle for the graph in Figure 1 begins C, V, E, X, A, W, …. (a) Complete the Hamiltonian cycle. (1) (b) Hence use the planarity algorithm to determine whether the graph shown in Figure 1 is planar. You must make your working clear and justify your answer. (3) (Total for Question 1 is 4 marks) 2 Figure 2 A project is modelled by the activity network shown in Figure 2. The activities are represented by the arcs. The number in brackets on each arc gives the time, in hours, to complete the corresponding activity. (a) Complete Diagram 1 in the answer book to show the early event times and the late event times. (4) Each activity requires one worker and the project must be completed in the shortest possible time using as few workers as possible.

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Pearson Edexcel Level 3 GCE

Time 1 hour 30 minutes
Paper
reference 9FM0/3D
Further Mathematics
Advanced
PAPER 3D: Decision Mathematics 1



You must have:
Mathematical Formulae and Statistical Tables (Green), calculator,
Decision Mathematics Answer Book (enclosed)

Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
• Use black ink or ball-point pen.
• IfWrite
pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• answeryourbookanswers for this paper in the Decision Mathematics
provided.
• Fill in the boxes at the top of the answer book with your name,
centre number and candidate number.
• Do not return the question paper with the answer book.
• clearly labelled.
Answer all questions and ensure that your answers to parts of questions are

• Answer the questions in the answer book provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• Inexact answers should be given to three significant figures unless otherwise stated.
Information
• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The marksare 8 questions in this question paper. The total mark for this paper is 75.
• – use this asfora guide
each question are shown in brackets
as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Checkanswer
Try to every question.
• Good luck
your answers if you have time at the end.
• with your examination. Turn over



*P66801A*
P66801A
©2021 Pearson Education Ltd.

1/1/1/1/

, 1.

A U


B V


C W


D X


E Y

Figure 1

A Hamiltonian cycle for the graph in Figure 1 begins C, V, E, X, A, W, ….
(a) Complete the Hamiltonian cycle.
(1)
(b) Hence use the planarity algorithm to determine whether the graph shown in Figure 1
is planar. You must make your working clear and justify your answer.
(3)

(Total for Question 1 is 4 marks)




2
P66801A

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Number of pages
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Written in
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Type
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