Edexcel AS Level In GCE further mathematics (8FM0/27) Options 27:DECISION 1(D,F,H,K) +
mark scheme May 2025
□ □
Further Mathematics
Advanced Subsidiary Paper
Further Mathematics options
27: Decision Mathematics 1
(Part of options D, F, H and K)
Candidates may use any calculator allowed by Pearson regulations. Calculators
must not have
D1 Answer the
Book facility for symbolic algebra manipulation, differentiation
(enclosed)
and integration, or have retrievable mathematical formulae stored in them.
Instructions
• IfUsepencil
black is ink
usedorfor diagrams/sketches/graphs
ball-point pen. it must be dark (HB or B).
• Fceilnl tinrethnuembboexresanadt cthaendtoidpaotfetnhuemanbsewr.er book with your name,
• Answer all questions and ensure that your answers to parts of questions are clearly
• Answer
labelled.
the questions in the answer book provided
• You
– there may be more space than you need.
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
• Do not return the question paper with the D1 Answer Book.
stated.
Information
• The total mark
A booklet for this part
‘Mathematical of the examination
Formulae and Statistical is 40. There
Tables’ are 4 questions.
is provided.
• –Thuesemtahrisksasfoargeuaidceh aqsuteosthiown amreucshhotiwmneintobsrpaecnkedtos n 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.
Y
:
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
■■
mark scheme May 2025
□ □
Further Mathematics
Advanced Subsidiary Paper
Further Mathematics options
27: Decision Mathematics 1
(Part of options D, F, H and K)
Candidates may use any calculator allowed by Pearson regulations. Calculators
must not have
D1 Answer the
Book facility for symbolic algebra manipulation, differentiation
(enclosed)
and integration, or have retrievable mathematical formulae stored in them.
Instructions
• IfUsepencil
black is ink
usedorfor diagrams/sketches/graphs
ball-point pen. it must be dark (HB or B).
• Fceilnl tinrethnuembboexresanadt cthaendtoidpaotfetnhuemanbsewr.er book with your name,
• Answer all questions and ensure that your answers to parts of questions are clearly
• Answer
labelled.
the questions in the answer book provided
• You
– there may be more space than you need.
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
• Do not return the question paper with the D1 Answer Book.
stated.
Information
• The total mark
A booklet for this part
‘Mathematical of the examination
Formulae and Statistical is 40. There
Tables’ are 4 questions.
is provided.
• –Thuesemtahrisksasfoargeuaidceh aqsuteosthiown amreucshhotiwmneintobsrpaecnkedtos n 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.
Y
:
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
■■
