Pearson Edexcel Level 3 GCE
Friday 15 May 2026
Afternoon Paper
reference 8FM0/28
Further Mathematics
Advanced Subsidiary
Further Mathematics options
28: Decision Mathematics 2
(Part of option K only)
You must have:
Mathematical Formulae and Statistical Tables (Green),
calculator, D2 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.
• IfFillpencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre number
in the boxes at the top of the answer book with your name,
and candidate number.
• clearly
Answer all questions and ensure that your answers to parts of questions are
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.
• Do not return the question paper with the D2 Answer Book.
Information
• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The total mark for this part of the examination is 40. There are 5 questions.
• – usemarks for each question are shown in brackets
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.
• Checkanswer
Try to every question.
• your answers if you have time at the end. Turn over
P79775APearson Education Ltd.
P:1/1/1/1/
*P79775A* for more:
,1. Player A and Player B are playing a zero‑sum game.
The game does not have a stable solution.
The pay‑off matrix for Player A is given below.
Player B
Option X Option Y Option Z
Player A Option R 3 –1 1
Option S –3 3 –2
Use a graphical method to determine the best strategy for Player A. You must define any
variables that you use.
(Total for Question 1 is 7 marks)
2
for more:
9775A
, 2. A relay team with four members is to be selected from five swimmers, A, B, C, D and E.
Each member of the team must swim one of four different strokes, Backstroke (1),
Breaststroke (2), Butterfly (3) or Freestyle (4).
The table shows each swimmer’s best time, in seconds, for the different strokes.
Backstroke (1) Breaststroke (2) Butterfly (3) Freestyle (4)
A 78 87 74 63
B 80 85 72 71
C 85 84 71 68
D 83 90 78 65
E 81 86 75 70
(a) Modify the table so that the Hungarian Algorithm can be used to calculate the
minimum potential total time for the relay team.
(1)
(b) Use the Hungarian Algorithm to obtain an allocation of swimmers which minimises
the potential total time.
(5)
State the minimum potential total time.
(1)
(Total for Question 2 is 7 marks)
P79775A for more:
3
Turn over
Friday 15 May 2026
Afternoon Paper
reference 8FM0/28
Further Mathematics
Advanced Subsidiary
Further Mathematics options
28: Decision Mathematics 2
(Part of option K only)
You must have:
Mathematical Formulae and Statistical Tables (Green),
calculator, D2 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.
• IfFillpencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre number
in the boxes at the top of the answer book with your name,
and candidate number.
• clearly
Answer all questions and ensure that your answers to parts of questions are
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.
• Do not return the question paper with the D2 Answer Book.
Information
• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The total mark for this part of the examination is 40. There are 5 questions.
• – usemarks for each question are shown in brackets
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.
• Checkanswer
Try to every question.
• your answers if you have time at the end. Turn over
P79775APearson Education Ltd.
P:1/1/1/1/
*P79775A* for more:
,1. Player A and Player B are playing a zero‑sum game.
The game does not have a stable solution.
The pay‑off matrix for Player A is given below.
Player B
Option X Option Y Option Z
Player A Option R 3 –1 1
Option S –3 3 –2
Use a graphical method to determine the best strategy for Player A. You must define any
variables that you use.
(Total for Question 1 is 7 marks)
2
for more:
9775A
, 2. A relay team with four members is to be selected from five swimmers, A, B, C, D and E.
Each member of the team must swim one of four different strokes, Backstroke (1),
Breaststroke (2), Butterfly (3) or Freestyle (4).
The table shows each swimmer’s best time, in seconds, for the different strokes.
Backstroke (1) Breaststroke (2) Butterfly (3) Freestyle (4)
A 78 87 74 63
B 80 85 72 71
C 85 84 71 68
D 83 90 78 65
E 81 86 75 70
(a) Modify the table so that the Hungarian Algorithm can be used to calculate the
minimum potential total time for the relay team.
(1)
(b) Use the Hungarian Algorithm to obtain an allocation of swimmers which minimises
the potential total time.
(5)
State the minimum potential total time.
(1)
(Total for Question 2 is 7 marks)
P79775A for more:
3
Turn over
