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Past exam of the mathematics course of the University of Cambridge
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Past exam of the mathematics course of the University of Cambridge
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Articles: 1k
Table of contents
1k
ia
2007
291
Paper 1
ia
57
1A
Paper 1
4
i
1A
1
ii
1A
1
2B
Paper 1
6
i
2B
1
ii
2B
1
iii
2B
1
3F
Paper 1
1
Solution
3F
4D
Paper 1
1
Solution
4D
5B
Paper 1
7
i
5B
1
a
5B
1
b
5B
2
6C
Paper 1
6
i
6C
1
ii
6C
1
iii
6C
1
7C
Paper 1
4
i
7C
1
ii
7C
1
8A
Paper 1
6
i
8A
1
ii
8A
1
iii
8A
1
9F
Paper 1
1
Solution
9F
10E
Paper 1
4
i
10E
1
ii
10E
1
11E
Paper 1
1
Solution
11E
12D
Paper 1
4
i
12D
1
ii
12D
1
Paper 2
ia
46
1B
Paper 2
1
Solution
1B
2B
Paper 2
4
i
2B
1
ii
2B
1
3F
Paper 2
1
Solution
3F
4F
Paper 2
1
Solution
4F
5B
Paper 2
4
i
5B
1
ii
5B
1
6B
Paper 2
1
Solution
6B
7B
Paper 2
7
i
7B
1
a
7B
1
b
7B
2
8B
Paper 2
4
i
8B
1
ii
8B
1
9F
Paper 2
1
Solution
9F
10F
Paper 2
1
Solution
10F
11F
Paper 2
8
i
11F
1
ii
11F
1
iii
11F
1
iv
11F
1
12F
Paper 2
1
Solution
12F
Paper 3
ia
49
1D
Paper 3
1
Solution
1D
2D
Paper 3
1
Solution
2D
3A
Paper 3
4
i
3A
1
ii
3A
1
4A
Paper 3
1
Solution
4A
5D
Paper 3
1
Solution
5D
6D
Paper 3
8
i
6D
1
ii
6D
1
iii
6D
1
iv
6D
1
7D
Paper 3
8
i
7D
1
ii
7D
1
iii
7D
1
iv
7D
1
8D
Paper 3
1
Solution
8D
9A
Paper 3
4
i
9A
1
ii
9A
1
10A
Paper 3
1
Solution
10A
11A
Paper 3
6
i
11A
1
ii
11A
1
iii
11A
1
12A
Paper 3
1
Solution
12A
Paper 4
ia
45
1E
Paper 4
4
i
1E
1
ii
1E
1
2E
Paper 4
1
Solution
2E
3C
Paper 4
1
Solution
3C
4C
Paper 4
1
Solution
4C
5E
Paper 4
1
Solution
5E
6E
Paper 4
1
Solution
6E
7E
Paper 4
1
Solution
7E
8E
Paper 4
4
i
8E
1
ii
8E
1
9C
Paper 4
4
i
9C
1
ii
9C
1
10C
Paper 4
6
i
10C
1
ii
10C
1
iii
10C
1
11C
Paper 4
1
Solution
11C
12C
Paper 4
8
i
12C
1
ii
12C
1
iii
12C
1
iv
12C
1
Paper 5
ia
89
1
Paper 5
6
a
1
1
b
1
1
c
1
1
2
Paper 5
8
a
2
1
b
2
1
c
2
1
d
2
1
3
Paper 5
6
a
3
1
b
3
1
c
3
1
4
Paper 5
1
Solution
4
5
Paper 5
9
a
5
4
b
5
1
c
5
1
6
Paper 5
8
a
6
1
b
6
1
c
6
1
d
6
1
7
Paper 5
8
a
7
1
b
7
1
c
7
1
d
7
1
8
Paper 5
13
a
8
1
b
8
1
c
8
4
d
8
1
e
8
1
9
Paper 5
7
a
9
1
b
9
4
10
Paper 5
6
a
10
1
b
10
1
c
10
1
11
Paper 5
1
Solution
11
12
Paper 5
4
i
12
1
ii
12
1
ib
2007
255
Paper 1
ib
66
1G
Paper 1
1
Solution
1G
2A
Paper 1
1
Solution
2A
3F
Paper 1
1
Solution
3F
4B
Paper 1
1
Solution
4B
5D
Paper 1
8
i
5D
1
ii
5D
1
iii
5D
1
iv
5D
1
6F
Paper 1
1
Solution
6F
7C
Paper 1
1
Solution
7C
8C
Paper 1
1
Solution
8C
9G
Paper 1
1
Solution
9G
10G
Paper 1
6
i
10G
1
ii
10G
1
iii
10G
1
11H
Paper 1
1
Solution
11H
12A
Paper 1
6
i
12A
1
ii
12A
1
iii
12A
1
13F
Paper 1
1
Solution
13F
14D
Paper 1
2
i
14D
1
15B
Paper 1
1
Solution
15B
16E
Paper 1
1
Solution
16E
17D
Paper 1
6
i
17D
1
ii
17D
1
iii
17D
1
18C
Paper 1
6
i
18C
1
ii
18C
1
iii
18C
1
19C
Paper 1
1
Solution
19C
Paper 2
ib
56
1G
Paper 2
1
Solution
1G
2G
Paper 2
1
Solution
2G
3H
Paper 2
1
Solution
3H
4A
Paper 2
6
i
4A
1
ii
4A
1
iii
4A
1
5D
Paper 2
1
Solution
5D
6E
Paper 2
1
Solution
6E
7B
Paper 2
1
Solution
7B
8D
Paper 2
1
Solution
8D
9C
Paper 2
1
Solution
9C
10G
Paper 2
6
i
10G
1
ii
10G
1
iii
10G
1
11G
Paper 2
4
i
11G
1
ii
11G
1
12A
Paper 2
4
i
12A
1
ii
12A
1
13H
Paper 2
1
Solution
13H
14F
Paper 2
1
Solution
14F
15D
Paper 2
1
Solution
15D
16B
Paper 2
1
Solution
16B
17E
Paper 2
1
Solution
17E
18F
Paper 2
1
Solution
18F
19C
Paper 2
1
Solution
19C
20C
Paper 2
1
Solution
20C
Paper 3
ib
52
1G
Paper 3
1
Solution
1G
2A
Paper 3
1
Solution
2A
3H
Paper 3
4
i
3H
1
ii
3H
1
4A
Paper 3
4
a
4A
1
b
4A
1
5F
Paper 3
1
Solution
5F
6E
Paper 3
1
Solution
6E
7B
Paper 3
1
Solution
7B
8C
Paper 3
1
Solution
8C
9C
Paper 3
1
Solution
9C
10G
Paper 3
4
i
10G
1
ii
10G
1
11G
Paper 3
4
i
11G
1
ii
11G
1
12A
Paper 3
1
Solution
12A
13H
Paper 3
1
Solution
13H
14H
Paper 3
1
Solution
14H
15E
Paper 3
1
Solution
15E
16B
Paper 3
1
Solution
16B
17E
Paper 3
1
Solution
17E
18D
Paper 3
1
Solution
18D
19F
Paper 3
1
Solution
19F
20C
Paper 3
1
Solution
20C
Paper 4
ib
77
1G
Paper 4
1
Solution
1G
2G
Paper 4
1
Solution
2G
3H
Paper 4
4
i
3H
1
ii
3H
1
4H
Paper 4
1
Solution
4H
5B
Paper 4
1
Solution
5B
6B
Paper 4
1
Solution
6B
7E
Paper 4
1
Solution
7E
8F
Paper 4
1
Solution
8F
9C
Paper 4
4
i
9C
1
ii
9C
1
10G
Paper 4
4
i
10G
1
ii
10G
1
11G
Paper 4
4
i
11G
1
ii
11G
1
12A
Paper 4
1
Solution
12A
13H
Paper 4
1
Solution
13H
14A
Paper 4
4
a
14A
1
b
14A
1
15F
Paper 4
8
i
15F
1
ii
15F
1
iii
15F
1
iv
15F
1
16E
Paper 4
1
Solution
16E
17B
Paper 4
4
a
17B
1
b
17B
1
18D
Paper 4
1
Solution
18D
19C
Paper 4
8
i
19C
1
ii
19C
1
iii
19C
1
iv
19C
1
20C
Paper 4
6
i
20C
1
ii
20C
1
iii
20C
1
ii
2007
530
Paper 1
ii
135
1F
Paper 1
1
Solution
1F
2F
Paper 1
6
i
2F
1
ii
2F
1
iii
2F
1
3G
Paper 1
1
Solution
3G
4G
Paper 1
1
Solution
4G
5I
Paper 1
1
Solution
5I
6B
Paper 1
1
Solution
6B
7E
Paper 1
1
Solution
7E
8B
Paper 1
1
Solution
8B
9C
Paper 1
1
Solution
9C
10A
Paper 1
1
Solution
10A
11G
Paper 1
1
Solution
11G
12G
Paper 1
1
Solution
12G
13I
Paper 1
1
Solution
13I
14B
Paper 1
6
i
14B
1
ii
14B
1
iii
14B
1
15A
Paper 1
1
Solution
15A
16G
Paper 1
1
Solution
16G
17H
Paper 1
1
Solution
17H
18F
Paper 1
1
Solution
18F
19H
Paper 1
1
Solution
19H
20H
Paper 1
6
a
20H
1
b
20H
1
c
20H
1
21H
Paper 1
4
i
21H
1
ii
21H
1
22G
Paper 1
1
Solution
22G
23F
Paper 1
1
Solution
23F
24H
Paper 1
6
i
24H
1
ii
24H
1
iii
24H
1
25J
Paper 1
8
a
25J
1
b
25J
1
c
25J
1
d
25J
1
26J
Paper 1
10
a
26J
1
b
26J
1
c
26J
1
d
26J
1
e
26J
1
27I
Paper 1
1
Solution
27I
28J
Paper 1
6
i
28J
1
ii
28J
1
iii
28J
1
29A
Paper 1
8
i
29A
1
ii
29A
1
iii
29A
1
iv
29A
1
30B
Paper 1
1
Solution
30B
31E
Paper 1
6
i
31E
1
ii
31E
1
iii
31E
1
32D
Paper 1
1
Solution
32D
33A
Paper 1
1
Solution
33A
34E
Paper 1
1
Solution
34E
35A
Paper 1
1
Solution
35A
36B
Paper 1
1
Solution
36B
37C
Paper 1
1
Solution
37C
38C
Paper 1
4
a
38C
1
b
38C
1
Paper 2
ii
128
1F
Paper 2
1
Solution
1F
2F
Paper 2
1
Solution
2F
3G
Paper 2
1
Solution
3G
4G
Paper 2
1
Solution
4G
5I
Paper 2
1
Solution
5I
6B
Paper 2
1
Solution
6B
7E
Paper 2
1
Solution
7E
8B
Paper 2
1
Solution
8B
9C
Paper 2
1
Solution
9C
10A
Paper 2
1
Solution
10A
11G
Paper 2
1
Solution
11G
12F
Paper 2
6
i
12F
1
ii
12F
1
iii
12F
1
13B
Paper 2
1
Solution
13B
14B
Paper 2
1
Solution
14B
15C
Paper 2
6
a
15C
1
b
15C
1
c
15C
1
16G
Paper 2
1
Solution
16G
17H
Paper 2
1
Solution
17H
18F
Paper 2
1
Solution
18F
19H
Paper 2
1
Solution
19H
20H
Paper 2
6
a
20H
1
b
20H
1
c
20H
1
21H
Paper 2
1
Solution
21H
22G
Paper 2
1
Solution
22G
23F
Paper 2
1
Solution
23F
24H
Paper 2
6
i
24H
1
ii
24H
1
iii
24H
1
25J
Paper 2
10
a
25J
1
b
25J
1
c
25J
1
d
25J
1
e
25J
1
26J
Paper 2
12
a
26J
1
b
26J
1
c
26J
1
d
26J
1
e
26J
1
f
26J
1
27I
Paper 2
4
i
27I
1
ii
27I
1
28J
Paper 2
1
Solution
28J
29I
Paper 2
1
Solution
29I
30A
Paper 2
2
ii
30A
1
31E
Paper 2
1
Solution
31E
32D
Paper 2
1
Solution
32D
33A
Paper 2
1
Solution
33A
34D
Paper 2
1
Solution
34D
35A
Paper 2
1
Solution
35A
36B
Paper 2
6
i
36B
1
ii
36B
1
iii
36B
1
37C
Paper 2
1
Solution
37C
38C
Paper 2
4
a
38C
1
b
38C
1
Paper 3
ii
139
1F
Paper 3
1
Solution
1F
2F
Paper 3
1
Solution
2F
3G
Paper 3
1
Solution
3G
4G
Paper 3
1
Solution
4G
5I
Paper 3
1
Solution
5I
6B
Paper 3
1
Solution
6B
7E
Paper 3
1
Solution
7E
8B
Paper 3
6
i
8B
1
ii
8B
1
iii
8B
1
9C
Paper 3
1
Solution
9C
10A
Paper 3
1
Solution
10A
11F
Paper 3
1
Solution
11F
12F
Paper 3
4
i
12F
1
ii
12F
1
13B
Paper 3
8
i
13B
1
ii
13B
1
iii
13B
1
iv
13B
1
14E
Paper 3
6
i
14E
1
ii
14E
1
iii
14E
1
15A
Paper 3
1
Solution
15A
16G
Paper 3
1
Solution
16G
17H
Paper 3
1
Solution
17H
18F
Paper 3
4
i
18F
1
ii
18F
1
19H
Paper 3
1
Solution
19H
20H
Paper 3
1
Solution
20H
21G
Paper 3
1
Solution
21G
22F
Paper 3
4
i
22F
1
ii
22F
1
23H
Paper 3
6
i
23H
1
ii
23H
1
iii
23H
1
24J
Paper 3
6
a
24J
1
b
24J
1
c
24J
1
25J
Paper 3
10
a
25J
1
b
25J
1
c
25J
1
d
25J
1
e
25J
1
26I
Paper 3
4
i
26I
1
ii
26I
1
27J
Paper 3
8
i
27J
1
ii
27J
1
iii
27J
1
iv
27J
1
28I
Paper 3
1
Solution
28I
29A
Paper 3
1
Solution
29A
30B
Paper 3
1
Solution
30B
31E
Paper 3
1
Solution
31E
32D
Paper 3
1
Solution
32D
33A
Paper 3
1
Solution
33A
34D
Paper 3
1
Solution
34D
35E
Paper 3
1
Solution
35E
36B
Paper 3
4
i
36B
1
ii
36B
1
37C
Paper 3
1
Solution
37C
38C
Paper 3
6
a
38C
1
k
38C
1
b
38C
1
Paper 4
ii
124
1F
Paper 4
1
Solution
1F
2F
Paper 4
1
Solution
2F
3G
Paper 4
1
Solution
3G
4G
Paper 4
1
Solution
4G
5I
Paper 4
1
Solution
5I
6B
Paper 4
1
Solution
6B
7E
Paper 4
6
i
7E
1
ii
7E
1
iii
7E
1
8B
Paper 4
4
i
8B
1
ii
8B
1
9C
Paper 4
4
a
9C
1
b
9C
1
10A
Paper 4
1
Solution
10A
11F
Paper 4
4
i
11F
1
ii
11F
1
12G
Paper 4
1
Solution
12G
13I
Paper 4
1
Solution
13I
14E
Paper 4
4
i
14E
1
ii
14E
1
15C
Paper 4
1
Solution
15C
16G
Paper 4
1
Solution
16G
17H
Paper 4
1
Solution
17H
18F
Paper 4
1
Solution
18F
19H
Paper 4
1
Solution
19H
20H
Paper 4
1
Solution
20H
21H
Paper 4
1
Solution
21H
22G
Paper 4
1
Solution
22G
23F
Paper 4
1
Solution
23F
24H
Paper 4
4
i
24H
1
ii
24H
1
25J
Paper 4
8
a
25J
1
b
25J
1
c
25J
1
d
25J
1
26J
Paper 4
10
a
26J
1
b
26J
1
c
26J
1
d
26J
1
e
26J
1
27I
Paper 4
1
Solution
27I
28J
Paper 4
1
Solution
28J
29I
Paper 4
1
Solution
29I
30A
Paper 4
1
Solution
30A
31B
Paper 4
1
Solution
31B
32D
Paper 4
1
Solution
32D
33A
Paper 4
1
Solution
33A
34D
Paper 4
1
Solution
34D
35E
Paper 4
1
Solution
35E
36A
Paper 4
1
Solution
36A
37B
Paper 4
8
i
37B
1
ii
37B
1
iii
37B
1
iv
37B
1
38C
Paper 4
1
Solution
38C
39C
Paper 4
4
a
39C
1
b
39C
1
Ancestors
(6)
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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