Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 4D: Decision Mathematics
2 JUNE 2025 Combined Question Paper and Mark Scheme
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Write
provided.
your answers for this paper in the Decision Mathematics answer book
• Fillandincandidate
the boxes at the top of the answer book with your name, centre number
number.
•• DoAnswer
not return the question paper with the answer book.
all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the answer book provided
• –Youthereshould
may be more space than you need.
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
P75692A
,©2025 Pearson Education Ltd.
Y:1/1/1/1/
, BLANK PAGE
2 P75692A
,
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
2 JUNE 2025 Combined Question Paper and Mark Scheme
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Write
provided.
your answers for this paper in the Decision Mathematics answer book
• Fillandincandidate
the boxes at the top of the answer book with your name, centre number
number.
•• DoAnswer
not return the question paper with the answer book.
all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the answer book provided
• –Youthereshould
may be more space than you need.
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
P75692A
,©2025 Pearson Education Ltd.
Y:1/1/1/1/
, BLANK PAGE
2 P75692A
,
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
