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Past exam of the mathematics course of the University of Cambridge
/
2005
/
ii
/
Paper 2
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University of Cambridge
Course of the University of Cambridge
Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
2005
ii
Created
2026-09-24
Updated
2026-09-24
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www.maths.cam.ac.uk/undergrad/pastpapers/files/2005/PaperII_2.pdf
Table of contents
1H
Paper 2
Solution
1H
2F
Paper 2
i
2F
Solution
i
ii
2F
Solution
ii
3G
Paper 2
Solution
3G
4J
Paper 2
Solution
4J
5I
Paper 2
Solution
5I
6E
Paper 2
a
6E
Solution
a
b
6E
Solution
b
c
6E
Solution
c
7B
Paper 2
Solution
7B
8A
Paper 2
Solution
8A
9C
Paper 2
Solution
9C
10D
Paper 2
a
10D
Solution
a
b
10D
Solution
b
11F
Paper 2
i
11F
Solution
i
ii
11F
Solution
ii
12J
Paper 2
Solution
12J
13E
Paper 2
a
13E
Solution
a
b
13E
Solution
b
c
13E
Solution
c
d
13E
Solution
d
e
13E
Solution
e
14B
Paper 2
15D
Paper 2
a
15D
Solution
a
b
15D
Solution
b
c
15D
Solution
c
16F
Paper 2
i
16F
Solution
i
ii
16F
Solution
ii
iii
16F
Solution
iii
iv
16F
Solution
iv
17F
Paper 2
Solution
17F
18G
Paper 2
i
18G
Solution
i
ii
18G
Solution
ii
19G
Paper 2
i
19G
Solution
i
ii
19G
Solution
ii
iii
19G
Solution
iii
iv
19G
Solution
iv
20G
Paper 2
Solution
20G
21H
Paper 2
Solution
21H
22F
Paper 2
Solution
22F
23H
Paper 2
Solution
23H
24H
Paper 2
Solution
24H
25J
Paper 2
Solution
25J
26I
Paper 2
Solution
26I
27I
Paper 2
i
27I
Solution
i
ii
27I
Solution
ii
28J
Paper 2
i
28J
Solution
i
ii
28J
Solution
ii
iii
28J
Solution
iii
29I
Paper 2
Solution
29I
30C
Paper 2
Solution
30C
31C
Paper 2
a
31C
Solution
a
b
31C
Solution
b
c
31C
Solution
c
32D
Paper 2
Solution
32D
33B
Paper 2
Solution
33B
34D
Paper 2
Solution
34D
35C
Paper 2
Solution
35C
36E
Paper 2
Solution
36E
37E
Paper 2
Solution
37E
38A
Paper 2
Solution
38A
1H
(Number Theory)
0
0
0
Paper 2
Solution
0
0
0
1H
2F
(Topics in Analysis)
0
0
0
Paper 2
i
0
0
0
2F
Solution
0
0
0
i
ii
0
0
0
2F
Solution
0
0
0
ii
3G
(Geometry of Group Actions)
0
0
0
Paper 2
Solution
0
0
0
3G
4J
(Coding and Cryptography)
0
0
0
Paper 2
Solution
0
0
0
4J
5I
(Statistical Modelling)
0
0
0
Paper 2
Solution
0
0
0
5I
6E
(Mathematical Biology)
0
0
0
Paper 2
a
0
0
0
6E
Solution
0
0
0
a
b
0
0
0
6E
Solution
0
0
0
b
c
0
0
0
6E
Solution
0
0
0
c
7B
(Dynamical Systems)
0
0
0
Paper 2
Solution
0
0
0
7B
8A
(Further Complex Methods)
0
0
0
Paper 2
Solution
0
0
0
8A
9C
(Classical Dynamics)
0
0
0
Paper 2
Solution
0
0
0
9C
10D
(Cosmology)
0
0
0
Paper 2
a
0
0
0
10D
Solution
0
0
0
a
b
0
0
0
10D
Solution
0
0
0
b
11F
(Topics in Analysis)
0
0
0
Paper 2
i
0
0
0
11F
Solution
0
0
0
i
ii
0
0
0
11F
Solution
0
0
0
ii
12J
(Coding and Cryptography)
0
0
0
Paper 2
Solution
0
0
0
12J
13E
(Mathematical Biology)
0
0
0
Paper 2
a
0
0
0
13E
Solution
0
0
0
a
b
0
0
0
13E
Solution
0
0
0
b
c
0
0
0
13E
Solution
0
0
0
c
d
0
0
0
13E
Solution
0
0
0
d
e
0
0
0
13E
Solution
0
0
0
e
14B
(Dynamical Systems)
0
0
0
Paper 2
15D
(Cosmology)
0
0
0
Paper 2
a
0
0
0
15D
Solution
0
0
0
a
b
0
0
0
15D
Solution
0
0
0
b
c
0
0
0
15D
Solution
0
0
0
c
16F
(Logic and Set Theory)
0
0
0
Paper 2
i
0
0
0
16F
Solution
0
0
0
i
ii
0
0
0
16F
Solution
0
0
0
ii
iii
0
0
0
16F
Solution
0
0
0
iii
iv
0
0
0
16F
Solution
0
0
0
iv
17F
(Graph Theory)
0
0
0
Paper 2
Solution
0
0
0
17F
18G
(Galois Theory)
0
0
0
Paper 2
i
0
0
0
18G
Solution
0
0
0
i
ii
0
0
0
18G
Solution
0
0
0
ii
19G
(Representation Theory)
0
0
0
Paper 2
i
0
0
0
19G
Solution
0
0
0
i
ii
0
0
0
19G
Solution
0
0
0
ii
iii
0
0
0
19G
Solution
0
0
0
iii
iv
0
0
0
19G
Solution
0
0
0
iv
20G
(Number Fields)
0
0
0
Paper 2
Solution
0
0
0
20G
21H
(Algebraic Topology)
0
0
0
Paper 2
Solution
0
0
0
21H
22F
(Linear Analysis)
0
0
0
Paper 2
Solution
0
0
0
22F
23H
(Riemann Surfaces)
0
0
0
Paper 2
Solution
0
0
0
23H
24H
(Differential Geometry)
0
0
0
Paper 2
Solution
0
0
0
24H
25J
(Probability and Measure)
0
0
0
Paper 2
Solution
0
0
0
25J
26I
(Applied Probability)
0
0
0
Paper 2
Solution
0
0
0
26I
27I
(Principles of Statistics)
0
0
0
Paper 2
i
0
0
0
27I
Solution
0
0
0
i
ii
0
0
0
27I
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ii
2005
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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