9.
EXERCISES

The following exercises are designed to illustrate the decisions and calculations which have to be made during the course of a count in an election by the Single Transferable Vote.

9.1
Determine whether voting papers marked as below are valid or invalid, and if valid, up to what preference are they transferable:

(a) 1

(c) 2,3,4,1,3

(e) 3,5,2,1

(g) X,X

(b) 3,4,1,2

(d) 2,1,3,1

(f) 1,4,3&5,2

 

9.2
Calculate the quota for election in each of the following cases:

Total vote

Total valid vote

Places to fill

(a)

5347

5334

6

(b)

700

698

7

(c)

28645

28625

5

(d)

736

731

20

9.3
Calculate the surplus, the transfer value and the non-transferable difference in each of these cases arising at the first stage:

 

Candidate's vote

Quota

Non-transferable papers

(a)

127

 

88.91

4

 

(b)

867

 

833.00

17

 

(c)

1635

 

1149.00

14

 

(d)

1327

 

1315.00

10

 

9.4
Calculate the surplus, the transfer value and the non-transferable difference in each of these cases arising at a later stage:

 

Candidate's vote

Quota

Last batch

Non-trans. papers

(a)

1073.24

 

983.00

93 @ 1.00

 

9

(b)

62.70

 

59.43

8 @ 0.63

 

None

(c)

832.54

 

814.00

98 @ 0.21

 

18

(d)

1287.81

 

1152.00

167 @ 1.00

 

19

9.5
Candidates to be excluded received papers in the order shown. Re-arrange the papers in batches in transfer order:

(a)

137 @ 1,

71 @ 0.30,

36 @ 0.12,

8 @ 1,

4 @ 0.30

(b)

17 @ 1,

94 @ 0.18,

43 @ 0.07,

33 @ 0.18,

12 @ 0.07

9.6
The vote for each candidate at the first stage is as shown. There are five places to fill. Calculate the quota. Decide the candidates deemed to be elected, and the Returning Officer's action in each case.

 

a

 

b

 

c

 

d

A

1073

 

1073

 

1073

 

1073

B

937

937

 

937

 

987

C

858

 

858

 

858

 

808

D

784

 

784

 

784

 

784

E

660

 

660

 

560

 

560

F

549

 

549

 

549

 

549

G

431

 

431

 

531

 

531

H

225

 

275

 

275

 

275

J

180

 

130

 

130

 

130

 

5697

 

5697

 

5697

 

5697

9.7
The vote for each candidate at a later stage is shown. There are five places to fill. Candidates A & B are already deemed to be elected. Decide which further candidate(s) are deemed to be elected, and the Returning Officer's action in each case:

 

a.

 

b.

 

c.

 

d.

A

949.50

 

949.50

 

949.50

 

949.50

B

983.20

 

983.20

 

983.20

 

983.20

C

886.90

 

886.90

 

886.90

 

896.90

D

834.20

 

874.70

 

864.20

 

853.50

E

712.50

 

711.50

 

712.50

 

843.70

F

551.60

 

512.10

 

511.60

 

511.60

G

528.40

 

478.40

 

468.40

 

297.90

Non trans.

250.70

 

300.70

 

320.70

 

360.70

 

5697

 

5697

 

5697

 

5697

Answers

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