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Past exam of the mathematics course of the University of Cambridge
/
2005
/
ii
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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
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Articles: 540
Table of contents
540
Paper 1
ii
112
1H
Paper 1
1
Solution
1H
2F
Paper 1
1
Solution
2F
3G
Paper 1
1
Solution
3G
4J
Paper 1
1
Solution
4J
5I
Paper 1
1
Solution
5I
6E
Paper 1
4
a
6E
1
Solution
a
b
6E
1
Solution
b
7B
Paper 1
1
Solution
7B
8A
Paper 1
1
Solution
8A
9C
Paper 1
1
Solution
9C
10D
Paper 1
6
a
10D
1
Solution
a
b
10D
1
Solution
b
c
10D
1
Solution
c
11F
Paper 1
1
Solution
11F
12G
Paper 1
1
Solution
12G
13I
Paper 1
1
Solution
13I
14B
Paper 1
1
Solution
14B
15C
Paper 1
4
i
15C
1
Solution
i
ii
15C
1
Solution
ii
16F
Paper 1
1
Solution
16F
17F
Paper 1
1
Solution
17F
18G
Paper 1
1
Solution
18G
19G
Paper 1
6
i
19G
1
Solution
i
ii
19G
1
Solution
ii
iii
19G
1
Solution
iii
20G
Paper 1
1
Solution
20G
21H
Paper 1
4
i
21H
1
Solution
i
ii
21H
1
Solution
ii
22F
Paper 1
1
Solution
22F
23H
Paper 1
1
Solution
23H
24H
Paper 1
6
i
24H
1
Solution
i
ii
24H
1
Solution
ii
iii
24H
1
Solution
iii
25J
Paper 1
1
Solution
25J
26I
Paper 1
4
a
26I
1
Solution
a
b
26I
1
Solution
b
27I
Paper 1
1
Solution
27I
28J
Paper 1
1
Solution
28J
29C
Paper 1
1
Solution
29C
30A
Paper 1
1
Solution
30A
31D
Paper 1
6
a
31D
1
Solution
a
b
31D
1
Solution
b
c
31D
1
Solution
c
32D
Paper 1
1
Solution
32D
33B
Paper 1
1
Solution
33B
34B
Paper 1
1
Solution
34B
35C
Paper 1
1
Solution
35C
36E
Paper 1
2
ii
36E
1
Solution
ii
37E
Paper 1
1
Solution
37E
38A
Paper 1
4
a
38A
1
Solution
a
b
38A
1
Solution
b
Paper 2
ii
137
1H
Paper 2
1
Solution
1H
2F
Paper 2
4
i
2F
1
Solution
i
ii
2F
1
Solution
ii
3G
Paper 2
1
Solution
3G
4J
Paper 2
1
Solution
4J
5I
Paper 2
1
Solution
5I
6E
Paper 2
6
a
6E
1
Solution
a
b
6E
1
Solution
b
c
6E
1
Solution
c
7B
Paper 2
1
Solution
7B
8A
Paper 2
1
Solution
8A
9C
Paper 2
1
Solution
9C
10D
Paper 2
4
a
10D
1
Solution
a
b
10D
1
Solution
b
11F
Paper 2
4
i
11F
1
Solution
i
ii
11F
1
Solution
ii
12J
Paper 2
1
Solution
12J
13E
Paper 2
10
a
13E
1
Solution
a
b
13E
1
Solution
b
c
13E
1
Solution
c
d
13E
1
Solution
d
e
13E
1
Solution
e
14B
Paper 2
4
i
14B
1
Solution
i
ii
14B
1
Solution
ii
15D
Paper 2
6
a
15D
1
Solution
a
b
15D
1
Solution
b
c
15D
1
Solution
c
16F
Paper 2
8
i
16F
1
Solution
i
ii
16F
1
Solution
ii
iii
16F
1
Solution
iii
iv
16F
1
Solution
iv
17F
Paper 2
1
Solution
17F
18G
Paper 2
4
i
18G
1
Solution
i
ii
18G
1
Solution
ii
19G
Paper 2
8
i
19G
1
Solution
i
ii
19G
1
Solution
ii
iii
19G
1
Solution
iii
iv
19G
1
Solution
iv
20G
Paper 2
1
Solution
20G
21H
Paper 2
1
Solution
21H
22F
Paper 2
1
Solution
22F
23H
Paper 2
1
Solution
23H
24H
Paper 2
1
Solution
24H
25J
Paper 2
1
Solution
25J
26I
Paper 2
1
Solution
26I
27I
Paper 2
4
i
27I
1
Solution
i
ii
27I
1
Solution
ii
28J
Paper 2
6
i
28J
1
Solution
i
ii
28J
1
Solution
ii
iii
28J
1
Solution
iii
29I
Paper 2
1
Solution
29I
30C
Paper 2
1
Solution
30C
31C
Paper 2
6
a
31C
1
Solution
a
b
31C
1
Solution
b
c
31C
1
Solution
c
32D
Paper 2
1
Solution
32D
33B
Paper 2
1
Solution
33B
34D
Paper 2
1
Solution
34D
35C
Paper 2
1
Solution
35C
36E
Paper 2
1
Solution
36E
37E
Paper 2
1
Solution
37E
38A
Paper 2
1
Solution
38A
Paper 3
ii
144
1H
Paper 3
1
Solution
1H
2F
Paper 3
6
i
2F
1
Solution
i
ii
2F
1
Solution
ii
iii
2F
1
Solution
iii
3G
Paper 3
1
Solution
3G
4J
Paper 3
1
Solution
4J
5I
Paper 3
4
a
5I
1
Solution
a
b
5I
1
Solution
b
6E
Paper 3
6
a
6E
1
Solution
a
b
6E
1
Solution
b
c
6E
1
Solution
c
7B
Paper 3
1
Solution
7B
8A
Paper 3
1
Solution
8A
9C
Paper 3
1
Solution
9C
10D
Paper 3
6
a
10D
1
Solution
a
b
10D
1
Solution
b
c
10D
1
Solution
c
11H
Paper 3
1
Solution
11H
12J
Paper 3
1
Solution
12J
13E
Paper 3
12
a
13E
1
Solution
a
b
13E
1
Solution
b
c
13E
1
Solution
c
d
13E
1
Solution
d
e
13E
1
Solution
e
f
13E
1
Solution
f
14A
Paper 3
4
i
14A
1
Solution
i
ii
14A
1
Solution
ii
15C
Paper 3
4
i
15C
1
Solution
i
ii
15C
1
Solution
ii
16F
Paper 3
1
Solution
16F
17F
Paper 3
1
Solution
17F
18G
Paper 3
1
Solution
18G
19G
Paper 3
8
i
19G
1
Solution
i
ii
19G
1
Solution
ii
iii
19G
1
Solution
iii
iv
19G
1
Solution
iv
20H
Paper 3
1
Solution
20H
21F
Paper 3
1
Solution
21F
22H
Paper 3
1
Solution
22H
23H
Paper 3
6
i
23H
1
Solution
i
ii
23H
1
Solution
ii
iii
23H
1
Solution
iii
24J
Paper 3
7
a
24J
1
Solution
a
b
24J
4
i
b
1
Solution
i
ii
b
1
Solution
ii
25I
Paper 3
1
Solution
25I
26I
Paper 3
1
Solution
26I
27J
Paper 3
8
a
27J
1
Solution
a
b
27J
1
Solution
b
c
27J
1
Solution
c
d
27J
1
Solution
d
28I
Paper 3
1
Solution
28I
29C
Paper 3
1
Solution
29C
30A
Paper 3
1
Solution
30A
31A
Paper 3
6
a
31A
1
Solution
a
b
31A
1
Solution
b
c
31A
1
Solution
c
32D
Paper 3
1
Solution
32D
33B
Paper 3
1
Solution
33B
34D
Paper 3
1
Solution
34D
35B
Paper 3
1
Solution
35B
36E
Paper 3
1
Solution
36E
37E
Paper 3
1
Solution
37E
38A
Paper 3
4
a
38A
1
Solution
a
b
38A
1
Solution
b
Paper 4
ii
143
1H
Paper 4
4
i
1H
1
Solution
i
ii
1H
1
Solution
ii
2F
Paper 4
4
i
2F
1
Solution
i
ii
2F
1
Solution
ii
3G
Paper 4
1
Solution
3G
4J
Paper 4
1
Solution
4J
5I
Paper 4
1
Solution
5I
6E
Paper 4
10
a
6E
4
i
a
1
Solution
i
ii
a
1
Solution
ii
b
6E
2
iii
b
1
Solution
iii
c
6E
1
Solution
c
7B
Paper 4
1
Solution
7B
8A
Paper 4
1
Solution
8A
9C
Paper 4
4
i
9C
1
Solution
i
ii
9C
1
Solution
ii
10D
Paper 4
6
a
10D
1
Solution
a
b
10D
1
Solution
b
c
10D
1
Solution
c
11H
Paper 4
4
a
11H
1
Solution
a
b
11H
1
Solution
b
12G
Paper 4
1
Solution
12G
13I
Paper 4
6
i
13I
1
Solution
i
ii
13I
1
Solution
ii
iii
13I
1
Solution
iii
14A
Paper 4
1
Solution
14A
15D
Paper 4
1
Solution
15D
16F
Paper 4
1
Solution
16F
17F
Paper 4
1
Solution
17F
18G
Paper 4
4
i
18G
1
Solution
i
ii
18G
1
Solution
ii
19G
Paper 4
4
i
19G
1
Solution
i
ii
19G
1
Solution
ii
20G
Paper 4
1
Solution
20G
21H
Paper 4
1
Solution
21H
22F
Paper 4
1
Solution
22F
23H
Paper 4
1
Solution
23H
24H
Paper 4
6
i
24H
1
Solution
i
ii
24H
1
Solution
ii
iii
24H
1
Solution
iii
25J
Paper 4
1
Solution
25J
26I
Paper 4
6
a
26I
1
Solution
a
b
26I
1
Solution
b
c
26I
1
Solution
c
27I
Paper 4
4
i
27I
1
Solution
i
ii
27I
1
Solution
ii
28J
Paper 4
13
a
28J
1
Solution
a
b
28J
1
Solution
b
c
28J
1
Solution
c
d
28J
6
i
d
1
Solution
i
ii
d
1
Solution
ii
iii
d
1
Solution
iii
29I
Paper 4
1
Solution
29I
30C
Paper 4
1
Solution
30C
31A
Paper 4
1
Solution
31A
32D
Paper 4
1
Solution
32D
33B
Paper 4
1
Solution
33B
34D
Paper 4
1
Solution
34D
35B
Paper 4
1
Solution
35B
36C
Paper 4
1
Solution
36C
37E
Paper 4
1
Solution
37E
38E
Paper 4
1
Solution
38E
39A
Paper 4
4
a
39A
1
Solution
a
b
39A
1
Solution
b
Paper 1
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Paper 3
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Paper 4
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Ancestors
(7)
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
List of universities
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