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Pearson Edexcel International Advanced Level Mathematics International Advanced Subsidiary/Advanced Level Decision Mathematics D1QP January 2024$12.99
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Pearson Edexcel International Advanced Level Mathematics International Advanced Subsidiary/Advanced Level Decision
Mathematics D1QP January 2024
Pearson Edexcel International Advanced Level
Wednesday 10 January 2024
Morning (Time: 1 hour 30 minutes)
Paper
reference WDM11/01
⯌ ⯌
Mathematics
International Advanced Subsidiary/Advanced Level
Decision Mathematics D1
You must have:
Decision Mathematics Answer Book (enclosed), calculator
Candidates may use any calculator allowed 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).
• Fill
Coloured pencils and highlighter pens must not be used.
in the boxes on the top of the answer book with your name,
centre number and candidate number.
•• DoAnswer
not return the question paper with the answer book.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the D1 answer book provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Inexact answers should be given to three significant figures unless otherwise stated.
working may not gain full credit.
Information
• There are 7 questions in this question paper. The total mark for this paper is 75.
• The
– usemarks
this asfor eachas
a guide question are shown
to how much in spend
time to brackets
on each question.
Advice
• Read each question carefully before you start to answer it.
• Try
•• Ifanyyouworking
to answer every question.
Check your answers if you have time at the end.
change your mind about an answer, cross it out and put your new answer and
underneath.
Turn over
, Write your answers in the D1 answer book for this paper.
1.
D(5)
E(2)
L(12)
A(4)
B(3) G(5) J(6)
C(7) F(6)
H(6) K(5)
I(6)
Figure 1
A project is modelled by the activity network shown in Figure 1. The activities are
represented by the arcs. The number in brackets on each arc gives the time, in hours, to
complete the corresponding activity. Each activity requires one worker. The project is to
be completed in the shortest possible time using as few workers as possible.
(a) Complete Diagram 1 in the answer book to show the early event times and the late
event times.
(4)
(b) Calculate the total float for activity D. You must make the numbers used in your
calculation clear.
(1)
(c) Calculate a lower bound for the minimum number of workers required to complete
the project in the shortest possible time. You must show your working.
(2)
(d) Draw a cascade chart for this project on Grid 1 in the answer book.
(4)
(e) Use your cascade chart to determine the minimum number of workers needed to
complete the project in the shortest possible time. You must make specific reference
to time and activities. (You do not need to provide a schedule of the activities.)
(2)
(Total for Question 1 is 13 marks)
2 P73481A
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