Pearson Edexcel Level 3 GCE Further Mathematics Advanced
PAPER 4D: Decision Mathematics 2 (FM0/4D)
Paper
reference 9FM0/4D
Further Mathematics
Advanced
PAPER 4D: Decision Mathematics 2
You must have:
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.
• Write
If pencil is used
your answersfor diagrams/sketches/graphs it must
for this paper in the Decision be dark (HB
Mathematics or B).book
answer
Fp irl ol vinidtehde. boxes at the top of the answer book with your name, centre number
• and candidate number.
• DoAnswer
not return the question
all questions paper that
and ensure withyour
the answer
answersbook.
to parts of questions are
cAlne saw rlyerlatbheelleqdu.estions in the answer book provided
• –Youthereshould
may be more space than you need.
show sufficient working to make your methods clear. Answers without
• Inexact answersnotshould
working may gain full credit.
• otherwise stated. be given to three significant figures unless
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
,P75692A
,©2025 Pearson Education Ltd.
Y:1/1/1/1/
,
1. Ravi can choose one of three options, A, B or C, when playing a game. The profit, in
pounds, associated with each outcome, and the corresponding probabilities, are shown
in the decision tree in Figure 1.
370
0.55
0.25
250
A 0.2
–75
0.75 245
B
0.25 195
C 390
0.45
0.4
325
0.15 –280
Figure 1
Calculate the optimal EMV to determine Ravi’s best course of action. You must make
your working clear.
(Total for Question 1 is 3 marks)
P75692A 3
Turn over
PAPER 4D: Decision Mathematics 2 (FM0/4D)
Paper
reference 9FM0/4D
Further Mathematics
Advanced
PAPER 4D: Decision Mathematics 2
You must have:
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.
• Write
If pencil is used
your answersfor diagrams/sketches/graphs it must
for this paper in the Decision be dark (HB
Mathematics or B).book
answer
Fp irl ol vinidtehde. boxes at the top of the answer book with your name, centre number
• and candidate number.
• DoAnswer
not return the question
all questions paper that
and ensure withyour
the answer
answersbook.
to parts of questions are
cAlne saw rlyerlatbheelleqdu.estions in the answer book provided
• –Youthereshould
may be more space than you need.
show sufficient working to make your methods clear. Answers without
• Inexact answersnotshould
working may gain full credit.
• otherwise stated. be given to three significant figures unless
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
,P75692A
,©2025 Pearson Education Ltd.
Y:1/1/1/1/
,
1. Ravi can choose one of three options, A, B or C, when playing a game. The profit, in
pounds, associated with each outcome, and the corresponding probabilities, are shown
in the decision tree in Figure 1.
370
0.55
0.25
250
A 0.2
–75
0.75 245
B
0.25 195
C 390
0.45
0.4
325
0.15 –280
Figure 1
Calculate the optimal EMV to determine Ravi’s best course of action. You must make
your working clear.
(Total for Question 1 is 3 marks)
P75692A 3
Turn over
