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Past exam of the mathematics course of the University of Cambridge
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2019
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ii
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List of universities
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
2019
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Articles: 1k
Table of contents
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
Ancestors
(7)
2019
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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