Exam (elaborations)
EDEXCEL A LEVEL FURTHER MATHS 2022 PAPER 3D
- Module
- 2022 papers and markschemes
- Institution
- PEARSON (PEARSON)
EDEXCEL A LEVEL FURTHER MATHS 2022 PAPER 3D
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Edexcel A Level 2022 papers andmarkschemes
from tyrionpapers.com
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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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Write your answers for this paper in the Decision Mathematics answer book
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.
Answer all questions and ensure that your answers to parts of questions are clearly
labelled.
• 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.
are 7 questions in this question paper. The total mark for this paper is 75.
• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• 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. Turn over
*P72094A*
P72094A
©2022 Pearson Education Ltd.
1/1/1/1/
,1. A gardener needs the following lengths of string. All lengths are in metres.
4.3 6.1 5.1 4.7 2.5 5.9 3.4 1.7 2.1 0.4 1.3
She cuts the lengths from balls of string. Each ball contains 10 m of string.
(a) Calculate a lower bound for the number of balls of string the gardener needs.
You must make your method clear.
(2)
(b) Use the first‑fit bin packing algorithm to determine how the lengths could be cut
from the balls of string.
(3)
(Total for Question 1 is 5 marks)
2 P72094A
, 2.
B 23
8 4 H
16
9 3 E 33
A 18 23
C 31 6
17
10 J K
F
14 10 10
14 25
D 25 G
Figure 1
[The total weight of the network is 299]
Figure 1 represents a network of cycle tracks between 10 landmarks, A, B, C, D, E, F,
G, H, J and K. The number on each edge represents the length, in kilometres, of the
corresponding track.
One day, Blanche wishes to cycle from A to K. She wishes to minimise the distance
she travels.
(a) (i) Use Dijkstra’s algorithm to find the shortest path from A to K.
(ii) State the length of the shortest path from A to K.
(6)
The cycle tracks between the landmarks now need to be inspected. Blanche must travel
along each track at least once. She wishes to minimise the length of her inspection
route. Blanche will start her inspection route at D and finish at E.
(b) (i) State the edges that will need to be traversed twice.
(ii) Find the length of Blanche’s route.
(2)
It is now decided to start the inspection route at A and finish at K. Blanche must
minimise the length of her route and travel along each track at least once.
(c) By considering the pairings of all relevant nodes, find the length of Blanche’s new
route. You must make your method and working clear.
(5)
(Total for Question 2 is 13 marks)
P72094A 3
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