PAPER4d
Pearson Edexcel Level
3 GCE
Monday 23 June 2025
Afternoon (Time: 1 hour 30
minutes)
Pap
reference
er 9FM0/4
D
Further Mathematics
🟐 🟐
Advanced
PAPER 4D: Decision Mathematics 2
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
• If pencil is used for diagrams/sketches/graphs it must be dark
• Write
pen.
your answers for this paper in the Decision Mathematics answer book
provided
• (HB
Fill
. or the
in B). 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
• Answer all questions and ensure that your answers to parts of
clearly
• book.
questions
labelled. 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.
Informatio
n
• A booklet ‘Mathematical Formulae and Statistical Tables’ is
• There are 7 questions in this question paper. The total mark for this paper is 75.
• The marks for each question are shown in
provided.
• – use this as a guide as to how much time to spend on each question.
Advice
brackets
• Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the end
question. Turn over
P75692A
©2025 Pearson
PAPER4D
,Education Ltd. Y:1/1/1/1/
, BLANK PAGE
2 P75692
A
■■■■
, 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.
0.55 370
0.25
250
A 0.2
–75
0.75
B 245
0.25
195
C
0.45 390
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)
P75692 3
A
Turn
■■■■
Pearson Edexcel Level
3 GCE
Monday 23 June 2025
Afternoon (Time: 1 hour 30
minutes)
Pap
reference
er 9FM0/4
D
Further Mathematics
🟐 🟐
Advanced
PAPER 4D: Decision Mathematics 2
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
• If pencil is used for diagrams/sketches/graphs it must be dark
• Write
pen.
your answers for this paper in the Decision Mathematics answer book
provided
• (HB
Fill
. or the
in B). 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
• Answer all questions and ensure that your answers to parts of
clearly
• book.
questions
labelled. 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.
Informatio
n
• A booklet ‘Mathematical Formulae and Statistical Tables’ is
• There are 7 questions in this question paper. The total mark for this paper is 75.
• The marks for each question are shown in
provided.
• – use this as a guide as to how much time to spend on each question.
Advice
brackets
• Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the end
question. Turn over
P75692A
©2025 Pearson
PAPER4D
,Education Ltd. Y:1/1/1/1/
, BLANK PAGE
2 P75692
A
■■■■
, 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.
0.55 370
0.25
250
A 0.2
–75
0.75
B 245
0.25
195
C
0.45 390
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)
P75692 3
A
Turn
■■■■
