PEARSON EDEXCEL LEVEL 3 GCE 8FM0/27 FURTHER MATHEMATICS
ADVANCED SUBSIDIARY FURTHER MATHEMATICS OPTIONS 27: DECISION
MATHEMATICS 1(PART OF OPTIONS D,F,H AND K) +MARK SCHEME MAY 2025
Paper
🟐 🟐
Further Mathematics
Advanced Subsidiary
Further Mathematics options
27: Decision Mathematics 1
(Part of options D, F, H and K)
D1 Answer Book (enclosed)
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 in the
centre boxesand
number at candidate
the top of the answer book with your name,
number.
• Answer all questions and ensure that your answers to parts of questions are clearly
• Answer
labelled.
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.
• Inexact
Answers without working may not gain full credit.
answers should be given to three significant figures unless otherwise
stated.
• Do not return the question paper with the D1 Answer Book.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 40. There are 4 questions.
• –Theusemarks
this asfor each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Try Y
• Check your answers if you have time at the end.
to answer every question. :
1
/
1
/
1
/
P74075A
1
/
1
©2025 Pearson Education Ltd. /
,Turn over
,
, 1
16 10 25 30 13 12 28 22 23 20
The list of ten numbers above is to be sorted into ascending order.
(a) Carry out a bubble sort, starting at the left-hand end of the list, to produce the sorted
list. You should only give the state of the list after each pass.
(3)
B 22 E
13 16
12 23
10
A F
C 20
28
30 25
D
Figure 1
(b) Use Prim’s algorithm, starting at A, to find the minimum spanning tree for the
network in Figure 1. You must list the arcs in the order in which you select them.
(2)
(c) (i) Draw the minimum spanning tree on Diagram 1 in the answer book.
(ii) Find the weight of the minimum spanning tree.
(2)
(Total for Question 1 is 7 marks)
2 P74075A
■■■■
ADVANCED SUBSIDIARY FURTHER MATHEMATICS OPTIONS 27: DECISION
MATHEMATICS 1(PART OF OPTIONS D,F,H AND K) +MARK SCHEME MAY 2025
Paper
🟐 🟐
Further Mathematics
Advanced Subsidiary
Further Mathematics options
27: Decision Mathematics 1
(Part of options D, F, H and K)
D1 Answer Book (enclosed)
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 in the
centre boxesand
number at candidate
the top of the answer book with your name,
number.
• Answer all questions and ensure that your answers to parts of questions are clearly
• Answer
labelled.
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.
• Inexact
Answers without working may not gain full credit.
answers should be given to three significant figures unless otherwise
stated.
• Do not return the question paper with the D1 Answer Book.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 40. There are 4 questions.
• –Theusemarks
this asfor each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Try Y
• Check your answers if you have time at the end.
to answer every question. :
1
/
1
/
1
/
P74075A
1
/
1
©2025 Pearson Education Ltd. /
,Turn over
,
, 1
16 10 25 30 13 12 28 22 23 20
The list of ten numbers above is to be sorted into ascending order.
(a) Carry out a bubble sort, starting at the left-hand end of the list, to produce the sorted
list. You should only give the state of the list after each pass.
(3)
B 22 E
13 16
12 23
10
A F
C 20
28
30 25
D
Figure 1
(b) Use Prim’s algorithm, starting at A, to find the minimum spanning tree for the
network in Figure 1. You must list the arcs in the order in which you select them.
(2)
(c) (i) Draw the minimum spanning tree on Diagram 1 in the answer book.
(ii) Find the weight of the minimum spanning tree.
(2)
(Total for Question 1 is 7 marks)
2 P74075A
■■■■
