Page 1
Turn over
Paper Reference(s)
6689/01Edexcel GCEDecision Mathematics D1Advanced/Advanced SubsidiaryFriday 20 May 2011 – AfternoonTime: 1 hour 30 minutes
Materials required for examination Items included with question papersNil D1 Answer Book
Candidates may use any calculator allowed by the regulations of the Joint Council for Qualifications. Calculators must not have the facility for symbolic algebra manipulation or symbolic differentiation/integration,or have retrievable mathematical formulae stored in them.
Instructions to CandidatesWrite your answers for this paper in the D1 answer book provided.In the boxes on the answer book, write your centre number, candidate number, your surname, initials and signature.Check that you have the correct question paper.Answer ALL the questions. When a calculator is used, the answer should be given to an appropriate degree of accuracy.Do not return the question paper with the answer book.
Information for CandidatesFull marks may be obtained for answers to ALL questions.The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2).There are 8 questions in this question paper. The total mark for this paper is 75.There are 12 pages in this question paper. The answer book has 20 pages. Any blank pages are indicated.
Advice to CandidatesYou must ensure that your answers to parts of questions are clearly labelled.You should show sufficient working to make your methods clear to the Examiner. Answers without working may not gain full credit.
Printer’s Log. No.
P38166A
This publication may be reproduced only in accordance with Edexcel Limited copyright policy. ©2011 Edexcel Limited.
W850/R6689/57570 5/5/3/3
*P38166A*
Page 2
P38166A 2
Write your answers in the D1 answer book for this paper.
1. 1. Jenny 2. Merry 3. Charles 4. Ben 5. Toby 6. Hyo 7. Kim 8. Richard 9. Greg 10. Freya
A binary search is to be performed on the names in the list above to locate the name Kim.
(a) Explain why a binary search cannot be performed with the list in its present form.(1)
(b) Using an appropriate algorithm, alter the list so that a binary search can be performed, showing the state of the list after each complete iteration. State the name of the algorithm you have used.
(4)
(c) Use the binary search algorithm to locate the name Kim in the list you obtained in (b). You must make your method clear.
(4)
(Total 9 marks)
Page 3
P38166A 3 Turn over
2.
A
B
D
E
F
C
10
14
14
12
1819
18
1713
15
20
Figure 1
(a) Define the terms
(i) tree, (ii) minimum spanning tree.
(3)
(b) Use Kruskal’s algorithm to find a minimum spanning tree for the network shown in Figure 1. You should list the arcs in the order in which you consider them. In each case, state whether you are adding the arc to your minimum spanning tree.
(3)
(c) Draw your minimum spanning tree using the vertices given in Diagram 1 in the answer book.(1)
(d) State whether your minimum spanning tree is unique. Justify your answer.(1)
(Total 8 marks)
Page 4
P38166A 4
3.
O 1 2 3 4 6 7 8 9 105
12
11
10
9
8
7
6
5
4
3
2
1
R
2x + 3y = 12
x = 2y
3x = 2y
x
y
6x + 5y = 60
Figure 2
Figure 2 shows the constraints of a linear programming problem in x and y, where R is the feasible region.
(a) Write down the inequalities that form region R.(2)
The objective is to maximise 3x + y.
(b) Find the optimal values of x and y. You must make your method clear.(4)
(c) Obtain the optimal value of the objective function.(1)
Given that integer values of x and y are now required,
(d) write down the optimal values of x and y.(1)
(Total 8 marks)
Page 5
P38166A 5 Turn over
4.
5
4
3
2
R
J
H
C
A 1
5
4
3
2
R
J
H
C
A 1
Figure 3 Figure 4
Figure 3 shows the possible allocations of five workers, Adam (A), Catherine (C), Harriet (H), Josh (J) and Richard (R) to five tasks, 1, 2, 3, 4 and 5.
Figure 4 shows an initial matching.
There are three possible alternating paths that start at A. One of them is
A – 3 = R – 4 = C – 5
(a) Find the other two alternating paths that start at A.(3)
(b) List the improved matching generated by using the alternating path A – 3 = R – 4 = C – 5.(1)
(c) Starting from the improved matching found in (b), use the maximum matching algorithm to obtain a complete matching. You must list the alternating path used and your final matching.
(3)
(Total 7 marks)
Page 6
P38166A 6
5.
AB
D
E
F
G
8
9
9
5
5
5
57
3
7
7
11
17C
Figure 5[The total weight of the network is 98 km]
Figure 5 models a network of gas pipes that have to be inspected. The number on each arc represents the length, in km, of that pipe.
A route of minimum length that traverses each pipe at least once and starts and finishes at A needs to be found.
(a) Use the route inspection algorithm to find the pipes that will need to be traversed twice. You must make your method and working clear.
(5)
(b) Write down a possible shortest inspection route, giving its length. (2)
It is now decided to start the inspection route at D. The route must still traverse each pipe at least once but may finish at any node.
(c) Determine the finishing point so that the length of the route is minimised. You must give reasons for your answer and state the length of your route.
(3)
(Total 10 marks)
Page 7
P38166A 7 Turn over
6.
A
B
C
D F
G
H
1013
43
25
27
40
53
15
2910
10
11
12
30E
Figure 6
Figure 6 shows a network of cycle tracks. The number on each arc gives the length, in km, of that track.
(a) Use Dijkstra’s algorithm to find the shortest route from A to H. State your shortest route and its length.
(6)
(b) Explain how you determined your shortest route from your labelled diagram.(2)
The track between E and F is now closed for resurfacing and cannot be used.
(c) Find the shortest route from A to H and state its length.(2)
(Total 10 marks)
Page 8
P38166A 8
7.
A (4)
B (7)
E (2)
C (4)
D (5)F (5)
G (4)
H (4)
I (3)J (10)
K (5)
L (6)
1
2
3
4
5
6
7
8
Figure 7
A project is modelled by the activity network shown in Figure 7. The activities are represented by the arcs. The number in brackets on each arc gives the time, in days, to complete the activity. Each activity requires one worker. The project is to be completed in the shortest possible time.
(a) Complete the precedence table in the answer book.(3)
(b) Complete Diagram 1 in the answer book, to show the early event times and late event times.(4)
(c) State the critical activities.(2)
(d) On the grid in your answer book, draw a cascade (Gantt) chart for this project. (4)
(e) By considering the activities that must take place between time 7 and time 16, explain why it is not possible to complete this project with just 3 workers in the minimum time.
(3)
(Total 16 marks)
Page 9
P38166A 9
8. A firm is planning to produce two types of radio, type A and type B.
Market research suggests that, each week: • At least 50 type A radios should be produced. • The number of type A radios should be between 20% and 40% of the total number of radios
produced.
Each type A radio requires 3 switches and each type B radio requires 2 switches. The firm can only buy 200 switches each week.
The profit on each type A radio is £15. The profit on each type B radio is £12.
The firm wishes to maximise its weekly profit.
Formulate this situation as a linear programming problem, defining your variables.
(Total 7 marks)
TOTAL FOR PAPER: 75 MARKS
END
Page 10
P38166A 10
BLANK PAGE
Page 11
P38166A 11
BLANK PAGE
Page 12
P38166A 12
BLANK PAGE
Page 13
Examiner’s use only
Team Leader’s use only
Surname Initial(s)
Signature
Centre No.
Turn over
Candidate No.
Question Leave Number Blank
1
2
3
4
5
6
7
8
Total
Paper Reference(s)
6689/01Edexcel GCEDecision Mathematics D1Advanced/Advanced SubsidiaryFriday 20 May 2011 – Afternoon
Answer Book
Do not return the question paper withthe answer book
Paper Reference
6 6 8 9 0 1
This publication may be reproduced only in accordance with Edexcel Limited copyright policy. ©2011 Edexcel Limited.
Printer’s Log. No.
P38166AW850/R6689/57570 5/5/3/3
*P38166A0120*
Page 14
Leave blank
2
*P38166A0220*
1. _______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Page 15
Leave blank
3
Turn over*P38166A0320*
Question 1 continued
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Page 16
Leave blank
4
*P38166A0420*
Question 1 continued
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Page 17
Leave blank
5
Turn over*P38166A0520*
Question 1 continued
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________ Q1
(Total 9 marks)
Page 18
Leave blank
6
*P38166A0620*
2. _______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Page 19
Leave blank
7
Turn over*P38166A0720*
Question 2 continued
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
(c)
A
B
DE
F
C
Diagram 1
(d) ___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________Q2
(Total 8 marks)
Page 20
Leave blank
8
*P38166A0820*
3. (a) ___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
O 1 2 3 4 6 7 8 9 105
12
11
10
9
8
7
6
5
4
3
2
1
R
2x + 3y = 12
x = 2y
3x = 2y
x
y
6x + 5y = 60
Figure 2
Page 21
Leave blank
9
Turn over*P38166A0920*
Question 3 continued
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________ Q3
(Total 8 marks)
Page 22
Leave blank
10
*P38166A01020*
4.
5
4
3
2
R
J
H
C
A 1
5
4
3
2
R
J
H
C
A 1
Figure 3 Figure 4
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Page 23
Leave blank
11
Turn over*P38166A01120*
Question 4 continued
R 5
J 4
H 3
C 2
A 1
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________ Q4
(Total 7 marks)
Page 24
Leave blank
12
*P38166A01220*
5. _______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Page 25
Leave blank
13
Turn over*P38166A01320*
Question 5 continued
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________ Q5
(Total 10 marks)
Page 26
Leave blank
14
*P38166A01420*
6.
A
B
E
D
G
F
H
Verte
xO
rder
of
labe
lling
Fina
lva
lue
Wor
king
val
ue
25 27
13
43
29
40
10
10
10
11
15
30
Key
:
12
53
C
Page 27
Leave blank
15
Turn over*P38166A01520*
Que
stio
n 6
cont
inue
d
Sh
orte
st ro
ute:
___
____
____
____
____
____
____
____
____
____
____
____
____
____
____
Le
ngth
of s
horte
st ro
ute:
___
____
____
____
____
____
____
____
____
____
____
____
____
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
_
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
____
___
Q6
(Total 10 marks)
Page 28
Leave blank
16
*P38166A01620*
7. (a)
Activity Preceded by Activity Preceded by Activity Preceded by
A - E I
B - F B J
C G B K
D B H L
(b)
D (5)
A (4)
B (7)
E (2)
H (4)
J (10)
L (6)
K (5)
I (3)
F (5)
C (4)
G (4)
Key:
Earlyeventtime
Lateeventtime
Diagram 1
Page 29
Leave blank
17
Turn over*P38166A01720*
Question 7 continued
(c) ___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
(d)
0 2 4 6 8 10 12 14 16 18 20 22 24
(e) ___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________Q7
(Total 16 marks)
Page 30
Leave blank
18
*P38166A01820*
8. _______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Page 31
Leave blank
19
*P38166A01920*
Question 8 continued
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
TOTAL FOR PAPER: 75 MARKS
END
Q8
(Total 7 marks)
Page 32
20
*P38166A02020*
BLANK PAGE
