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Past exam of the mathematics course of the University of Cambridge
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2019
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Course of the University of Cambridge
Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
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Articles: 2k
Table of contents
2k
ia
2019
264
Paper 1
ia
82
1C
Paper 1
8
a
1C
1
b
1C
1
c
1C
1
d
1C
1
2A
Paper 1
8
i
2A
1
ii
2A
1
iii
2A
1
iv
2A
1
3E
Paper 1
6
i
3E
1
ii
3E
1
iii
3E
1
4F
Paper 1
4
i
4F
1
ii
4F
1
5C
Paper 1
9
a
5C
4
b
5C
1
c
5C
1
6B
Paper 1
1
Solution
6B
7B
Paper 1
6
a
7B
1
b
7B
1
c
7B
1
8A
Paper 1
14
a
8A
1
b
8A
1
c
8A
4
d
8A
4
9D
Paper 1
1
Solution
9D
10D
Paper 1
1
Solution
10D
11E
Paper 1
6
a
11E
1
b
11E
1
c
11E
1
12F
Paper 1
6
i
12F
1
ii
12F
1
iii
12F
1
Paper 2
ia
62
1C
Paper 2
1
Solution
1C
2C
Paper 2
1
Solution
2C
3F
Paper 2
6
a
3F
1
b
3F
1
c
3F
1
4F
Paper 2
1
Solution
4F
5C
Paper 2
6
a
5C
1
b
5C
1
c
5C
1
6C
Paper 2
1
Solution
6C
7C
Paper 2
10
a
7C
1
b
7C
1
c
7C
1
d
7C
1
e
7C
1
8C
Paper 2
6
a
8C
1
b
8C
1
c
8C
1
9F
Paper 2
9
a
9F
1
b
9F
4
c
9F
1
10F
Paper 2
1
Solution
10F
11F
Paper 2
7
a
11F
4
b
11F
1
12F
Paper 2
1
Solution
12F
Paper 3
ia
40
1D
Paper 3
1
Solution
1D
2D
Paper 3
1
Solution
2D
3B
Paper 3
1
Solution
3B
4B
Paper 3
1
Solution
4B
5D
Paper 3
4
i
5D
1
ii
5D
1
6D
Paper 3
8
a
6D
1
b
6D
1
c
6D
1
d
6D
1
7D
Paper 3
1
Solution
7D
8D
Paper 3
1
Solution
8D
9B
Paper 3
1
Solution
9B
10B
Paper 3
4
a
10B
1
b
10B
1
11B
Paper 3
1
Solution
11B
12B
Paper 3
4
a
12B
1
b
12B
1
Paper 4
ia
76
1E
Paper 4
1
Solution
1E
2E
Paper 4
1
Solution
2E
3A
Paper 4
1
Solution
3A
4A
Paper 4
1
Solution
4A
5E
Paper 4
9
a
5E
1
b
5E
1
c
5E
4
6E
Paper 4
8
a
6E
1
b
6E
1
c
6E
1
d
6E
1
7E
Paper 4
9
a
7E
6
b
7E
1
8E
Paper 4
6
a
8E
1
b
8E
1
c
8E
1
9A
Paper 4
6
a
9A
1
b
9A
1
c
9A
1
10A
Paper 4
9
a
10A
1
b
10A
6
11A
Paper 4
9
a
11A
4
b
11A
1
c
11A
1
12A
Paper 4
4
b
12A
1
a
12A
1
ib
2019
365
Paper 1
ib
74
1F
Paper 1
1
Solution
1F
2F
Paper 1
1
Solution
2F
3E
Paper 1
1
Solution
3E
4A
Paper 1
1
Solution
4A
5C
Paper 1
1
Solution
5C
6C
Paper 1
1
Solution
6C
7H
Paper 1
4
a
7H
1
b
7H
1
8H
Paper 1
1
Solution
8H
9F
Paper 1
6
a
9F
1
b
9F
1
c
9F
1
10G
Paper 1
6
a
10G
1
b
10G
1
c
10G
1
11E
Paper 1
4
a
11E
1
b
11E
1
12G
Paper 1
6
a
12G
1
b
12G
1
c
12G
1
13F
Paper 1
1
Solution
13F
14B
Paper 1
1
Solution
14B
15B
Paper 1
1
Solution
15B
16A
Paper 1
1
Solution
16A
17C
Paper 1
1
Solution
17C
18C
Paper 1
4
a
18C
1
b
18C
1
19H
Paper 1
6
a
19H
1
b
19H
1
c
19H
1
20H
Paper 1
6
a
20H
1
b
20H
1
c
20H
1
Paper 2
ib
77
1F
Paper 2
1
Solution
1F
2G
Paper 2
1
Solution
2G
3E
Paper 2
4
a
3E
1
b
3E
1
4G
Paper 2
4
a
4G
1
b
4G
1
5B
Paper 2
1
Solution
5B
6A
Paper 2
1
Solution
6A
7C
Paper 2
1
Solution
7C
8H
Paper 2
6
a
8H
1
b
8H
1
c
8H
1
9H
Paper 2
1
Solution
9H
10F
Paper 2
8
a
10F
1
b
10F
1
c
10F
1
d
10F
1
11G
Paper 2
6
a
11G
1
b
11G
1
c
11G
1
12E
Paper 2
10
a
12E
4
b
12E
4
13D
Paper 2
1
Solution
13D
14E
Paper 2
1
Solution
14E
15A
Paper 2
1
Solution
15A
16D
Paper 2
1
Solution
16D
17B
Paper 2
1
Solution
17B
18A
Paper 2
1
Solution
18A
19C
Paper 2
1
Solution
19C
20H
Paper 2
6
a
20H
1
b
20H
1
c
20H
1
Paper 3
ib
99
1G
Paper 3
1
Solution
1G
2E
Paper 3
9
a
2E
1
b
2E
6
3G
Paper 3
4
a
3G
1
b
3G
1
4D
Paper 3
1
Solution
4D
5E
Paper 3
1
Solution
5E
6A
Paper 3
1
Solution
6A
7D
Paper 3
1
Solution
7D
8B
Paper 3
1
Solution
8B
9H
Paper 3
6
a
9H
1
b
9H
1
c
9H
1
10F
Paper 3
1
Solution
10F
11G
Paper 3
6
a
11G
1
b
11G
1
c
11G
1
12E
Paper 3
7
a
12E
1
b
12E
4
13F
Paper 3
1
Solution
13F
14E
Paper 3
9
a
14E
1
b
14E
4
c
14E
1
15D
Paper 3
1
Solution
15D
16B
Paper 3
1
Solution
16B
17A
Paper 3
1
Solution
17A
18C
Paper 3
1
Solution
18C
19C
Paper 3
8
a
19C
1
b
19C
1
c
19C
1
d
19C
1
20H
Paper 3
13
a
20H
1
b
20H
1
c
20H
6
d
20H
1
21H
Paper 3
4
a
21H
1
b
21H
1
Paper 4
ib
111
1F
Paper 4
1
Solution
1F
2G
Paper 4
4
a
2G
1
b
2G
1
3E
Paper 4
6
i
3E
1
ii
3E
1
iii
3E
1
4F
Paper 4
1
Solution
4F
5D
Paper 4
1
Solution
5D
6B
Paper 4
4
a
6B
1
b
6B
1
7A
Paper 4
1
Solution
7A
8C
Paper 4
1
Solution
8C
9H
Paper 4
2
b
9H
1
10F
Paper 4
1
Solution
10F
11G
Paper 4
6
a
11G
1
b
11G
1
c
11G
1
12E
Paper 4
10
a
12E
2
b
12E
6
13G
Paper 4
6
a
13G
1
b
13G
1
c
13G
1
14D
Paper 4
6
a
14D
1
b
14D
1
c
14D
1
15E
Paper 4
8
a
15E
1
b
15E
1
c
15E
1
d
15E
1
16A
Paper 4
6
a
16A
1
b
16A
1
c
16A
1
17B
Paper 4
6
a
17B
1
b
17B
1
c
17B
1
18C
Paper 4
6
a
18C
1
b
18C
1
c
18C
1
19H
Paper 4
6
a
19H
1
b
19H
1
c
19H
1
20H
Paper 4
9
a
20H
1
b
20H
4
c
20H
1
ii
2019
1k
Paper 1
ii
287
1I
Paper 1
4
a
1I
1
b
1I
1
2H
Paper 1
1
Solution
2H
3G
Paper 1
1
Solution
3G
4H
Paper 1
11
a
4H
1
b
4H
6
c
4H
1
5J
Paper 1
1
Solution
5J
6C
Paper 1
1
Solution
6C
7A
Paper 1
4
a
7A
1
b
7A
1
8E
Paper 1
4
a
8E
1
b
8E
1
9B
Paper 1
1
Solution
9B
10D
Paper 1
6
a
10D
1
b
10D
1
c
10D
1
11G
Paper 1
6
a
11G
1
b
11G
1
c
11G
1
12H
Paper 1
1
Solution
12H
13J
Paper 1
8
a
13J
1
b
13J
1
c
13J
1
d
13J
1
14A
Paper 1
8
a
14A
1
b
14A
1
c
14A
1
d
14A
1
15B
Paper 1
10
a
15B
1
b
15B
1
c
15B
1
d
15B
1
e
15B
1
16I
Paper 1
1
Solution
16I
17G
Paper 1
8
a
17G
1
b
17G
1
c
17G
1
d
17G
1
18F
Paper 1
6
a
18F
1
b
18F
1
c
18F
1
19I
Paper 1
12
a
19I
1
b
19I
4
c
19I
4
20G
Paper 1
6
a
20G
1
b
20G
1
c
20G
1
21F
Paper 1
6
a
21F
1
b
21F
1
c
21F
1
22H
Paper 1
8
a
22H
1
b
22H
1
c
22H
1
d
22H
1
23H
Paper 1
10
a
23H
1
b
23H
1
c
23H
1
d
23H
1
e
23H
1
24F
Paper 1
6
a
24F
1
b
24F
1
c
24F
1
25F
Paper 1
11
a
25F
8
b
25F
1
26H
Paper 1
6
a
26H
1
b
26H
1
c
26H
1
27K
Paper 1
11
a
27K
1
b
27K
8
28K
Paper 1
11
a
28K
1
b
28K
1
c
28K
4
d
28K
1
29J
Paper 1
10
a
29J
1
b
29J
1
c
29J
1
d
29J
1
e
29J
1
30K
Paper 1
11
a
30K
1
b
30K
1
c
30K
6
31E
Paper 1
10
i
31E
1
ii
31E
1
iii
31E
1
iv
31E
1
v
31E
1
32C
Paper 1
10
a
32C
1
b
32C
1
c
32C
1
d
32C
1
e
32C
1
33B
Paper 1
1
Solution
33B
34B
Paper 1
4
a
34B
1
b
34B
1
35D
Paper 1
4
a
35D
1
b
35D
1
36E
Paper 1
1
Solution
36E
37D
Paper 1
8
a
37D
1
b
37D
1
c
37D
1
d
37D
1
38A
Paper 1
4
a
38A
1
b
38A
1
39A
Paper 1
9
a
39A
1
b
39A
6
40C
Paper 1
6
a
40C
1
b
40C
1
c
40C
1
Paper 2
ii
284
1I
Paper 2
1
Solution
1I
2H
Paper 2
6
a
2H
1
b
2H
1
c
2H
1
3G
Paper 2
1
Solution
3G
4H
Paper 2
6
a
4H
1
b
4H
1
c
4H
1
5J
Paper 2
4
a
5J
1
b
5J
1
6C
Paper 2
1
Solution
6C
7A
Paper 2
1
Solution
7A
8E
Paper 2
10
a
8E
1
b
8E
1
c
8E
1
d
8E
1
e
8E
1
9B
Paper 2
8
a
9B
1
b
9B
1
c
9B
1
d
9B
1
10D
Paper 2
6
a
10D
1
b
10D
1
c
10D
1
11H
Paper 2
14
a
11H
1
b
11H
1
c
11H
1
d
11H
1
e
11H
1
f
11H
1
g
11H
1
12G
Paper 2
6
i
12G
1
ii
12G
1
iii
12G
1
13A
Paper 2
6
a
13A
1
b
13A
1
c
13A
1
14E
Paper 2
6
a
14E
1
b
14E
1
c
14E
1
15D
Paper 2
8
a
15D
1
b
15D
1
c
15D
1
d
15D
1
16I
Paper 2
8
i
16I
1
ii
16I
1
iii
16I
1
iv
16I
1
17G
Paper 2
6
a
17G
1
b
17G
1
c
17G
1
18F
Paper 2
1
Solution
18F
19I
Paper 2
11
a
19I
1
b
19I
8
20G
Paper 2
6
a
20G
1
b
20G
1
c
20G
1
21F
Paper 2
4
a
21F
1
b
21F
1
22H
Paper 2
6
a
22H
1
b
22H
1
d
22H
1
23F
Paper 2
8
a
23F
1
b
23F
1
c
23F
1
d
23F
1
24F
Paper 2
4
a
24F
1
b
24F
1
25H
Paper 2
13
a
25H
1
b
25H
1
c
25H
1
d
25H
6
26K
Paper 2
10
a
26K
1
b
26K
1
c
26K
1
d
26K
1
e
26K
1
27K
Paper 2
10
a
27K
1
b
27K
1
c
27K
1
d
27K
1
e
27K
1
28J
Paper 2
8
a
28J
1
b
28J
1
c
28J
1
d
28J
1
29K
Paper 2
8
a
29K
1
b
29K
1
c
29K
1
d
29K
1
30A
Paper 2
7
a
30A
4
b
30A
1
31E
Paper 2
1
Solution
31E
32C
Paper 2
8
a
32C
1
b
32C
1
c
32C
1
d
32C
1
33B
Paper 2
7
a
33B
1
b
33B
4
34B
Paper 2
1
Solution
34B
35D
Paper 2
1
Solution
35D
36D
Paper 2
8
a
36D
1
b
36D
1
c
36D
1
d
36D
1
37A
Paper 2
11
a
37A
1
b
37A
6
c
37A
1
38A
Paper 2
6
a
38A
1
b
38A
1
c
38A
1
39C
Paper 2
8
a
39C
1
b
39C
1
c
39C
1
d
39C
1
Paper 3
ii
270
1I
Paper 3
1
Solution
1I
2H
Paper 3
1
Solution
2H
3G
Paper 3
6
i
3G
1
ii
3G
1
iii
3G
1
4H
Paper 3
6
a
4H
1
b
4H
1
c
4H
1
5J
Paper 3
6
a
5J
1
b
5J
1
c
5J
1
6C
Paper 3
1
Solution
6C
7A
Paper 3
4
a
7A
1
b
7A
1
8E
Paper 3
4
a
8E
1
b
8E
1
9B
Paper 3
1
Solution
9B
10D
Paper 3
4
a
10D
1
b
10D
1
11I
Paper 3
6
a
11I
1
b
11I
1
c
11I
1
12H
Paper 3
10
a
12H
1
b
12H
1
c
12H
1
d
12H
1
e
12H
1
13C
Paper 3
14
a
13C
6
b
13C
6
14B
Paper 3
1
Solution
14B
15D
Paper 3
10
a
15D
1
b
15D
1
c
15D
1
d
15D
1
e
15D
1
16I
Paper 3
8
i
16I
1
ii
16I
1
iii
16I
1
iv
16I
1
17G
Paper 3
8
a
17G
1
b
17G
1
c
17G
1
d
17G
1
18F
Paper 3
1
Solution
18F
19I
Paper 3
9
a
19I
1
b
19I
6
20F
Paper 3
8
a
20F
1
b
20F
1
c
20F
1
d
20F
1
21H
Paper 3
8
a
21H
1
b
21H
1
c
21H
1
d
21H
1
22H
Paper 3
8
a
22H
1
b
22H
1
c
22H
1
d
22H
1
23F
Paper 3
1
Solution
23F
24F
Paper 3
6
a
24F
1
b
24F
1
c
24F
1
25H
Paper 3
10
a
25H
4
b
25H
4
26K
Paper 3
10
a
26K
1
b
26K
1
c
26K
1
d
26K
1
e
26K
1
27K
Paper 3
4
a
27K
1
b
27K
1
28J
Paper 3
6
a
28J
1
b
28J
1
c
28J
1
29K
Paper 3
6
a
29K
1
b
29K
1
c
29K
1
30A
Paper 3
4
a
30A
1
b
30A
1
31E
Paper 3
10
a
31E
1
b
31E
1
c
31E
1
d
31E
1
e
31E
1
32C
Paper 3
13
a
32C
1
n
32C
1
b
32C
1
c
32C
6
33B
Paper 3
6
a
33B
1
b
33B
1
c
33B
1
34B
Paper 3
1
Solution
34B
35D
Paper 3
1
Solution
35D
36E
Paper 3
1
Solution
36E
37D
Paper 3
12
a
37D
6
b
37D
4
38A
Paper 3
4
a
38A
1
b
38A
1
39A
Paper 3
6
a
39A
1
b
39A
1
c
39A
1
40C
Paper 3
4
a
40C
1
b
40C
1
Paper 4
ii
244
1I
Paper 4
1
Solution
1I
2H
Paper 4
1
Solution
2H
3G
Paper 4
4
a
3G
1
b
3G
1
4H
Paper 4
9
a
4H
6
b
4H
1
5J
Paper 4
1
Solution
5J
6C
Paper 4
4
a
6C
1
b
6C
1
7A
Paper 4
6
a
7A
1
b
7A
1
c
7A
1
8E
Paper 4
6
a
8E
1
b
8E
1
c
8E
1
9B
Paper 4
1
Solution
9B
10D
Paper 4
4
a
10D
1
b
10D
1
11I
Paper 4
8
a
11I
1
b
11I
1
c
11I
1
d
11I
1
12H
Paper 4
4
a
12H
1
b
12H
1
13J
Paper 4
8
a
13J
1
b
13J
1
c
13J
1
d
13J
1
14C
Paper 4
8
a
14C
1
b
14C
1
c
14C
1
d
14C
1
15E
Paper 4
4
a
15E
1
b
15E
1
16I
Paper 4
1
Solution
16I
17G
Paper 4
1
Solution
17G
18F
Paper 4
4
i
18F
1
ii
18F
1
19I
Paper 4
11
a
19I
1
b
19I
1
c
19I
6
20G
Paper 4
4
a
20G
1
b
20G
1
21F
Paper 4
4
i
21F
1
ii
21F
1
22H
Paper 4
6
a
22H
1
b
22H
1
c
22H
1
23H
Paper 4
10
a
23H
1
b
23H
1
c
23H
1
d
23H
1
e
23H
1
24F
Paper 4
16
a
24F
6
b
24F
8
25H
Paper 4
6
a
25H
1
b
25H
1
c
25H
1
26K
Paper 4
10
a
26K
4
b
26K
4
27K
Paper 4
6
a
27K
1
b
27K
1
c
27K
1
28J
Paper 4
11
a
28J
1
b
28J
8
29K
Paper 4
8
a
29K
1
b
29K
1
c
29K
1
d
29K
1
30A
Paper 4
4
a
30A
1
b
30A
1
31E
Paper 4
1
Solution
31E
32B
Paper 4
1
Solution
32B
33B
Paper 4
4
a
33B
1
b
33B
1
34D
Paper 4
4
i
34D
1
ii
34D
1
35E
Paper 4
1
Solution
35E
36D
Paper 4
4
a
36D
1
b
36D
1
37A
Paper 4
9
a
37A
1
b
37A
4
c
37A
1
38A
Paper 4
6
a
38A
1
b
38A
1
c
38A
1
39C
Paper 4
4
a
39C
1
b
39C
1
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Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
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