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Past exam of the mathematics course of the University of Cambridge
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2018
/
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
2018
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Articles: 881
Table of contents
881
Paper 1
ii
233
1G
Paper 1
4
a
1G
1
Solution
a
b
1G
1
Solution
b
2F
Paper 1
1
Solution
2F
3H
Paper 1
1
Solution
3H
4G
Paper 1
11
a
4G
1
Solution
a
b
4G
6
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
c
4G
1
Solution
c
5J
Paper 1
1
Solution
5J
6C
Paper 1
6
a
6C
1
Solution
a
b
6C
1
Solution
b
c
6C
1
Solution
c
7B
Paper 1
4
a
7B
1
Solution
a
b
7B
1
Solution
b
8B
Paper 1
1
Solution
8B
9B
Paper 1
1
Solution
9B
10D
Paper 1
4
a
10D
1
Solution
a
b
10D
1
Solution
b
11H
Paper 1
1
Solution
11H
12G
Paper 1
13
a
12G
1
Solution
a
b
12G
1
Solution
b
c
12G
1
Solution
c
d
12G
6
i
d
1
Solution
i
ii
d
1
Solution
ii
iii
d
1
Solution
iii
13J
Paper 1
6
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13J
1
Solution
a
b
13J
1
Solution
b
c
13J
1
Solution
c
14B
Paper 1
6
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14B
1
Solution
a
b
14B
1
Solution
b
c
14B
1
Solution
c
15B
Paper 1
8
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15B
1
Solution
a
b
15B
1
Solution
b
c
15B
1
Solution
c
d
15B
1
Solution
d
16G
Paper 1
1
Solution
16G
17I
Paper 1
6
a
17I
1
Solution
a
b
17I
1
Solution
b
c
17I
1
Solution
c
18I
Paper 1
1
Solution
18I
19I
Paper 1
9
a
19I
1
Solution
a
b
19I
6
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
20G
Paper 1
4
a
20G
1
Solution
a
b
20G
1
Solution
b
21H
Paper 1
8
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21H
1
Solution
a
b
21H
1
Solution
b
c
21H
1
Solution
c
d
21H
1
Solution
d
22F
Paper 1
6
a
22F
1
Solution
a
b
22F
1
Solution
b
c
22F
1
Solution
c
23F
Paper 1
6
a
23F
1
Solution
a
b
23F
1
Solution
b
c
23F
1
Solution
c
24F
Paper 1
1
Solution
24F
25I
Paper 1
6
a
25I
1
Solution
a
b
25I
1
Solution
b
c
25I
1
Solution
c
26I
Paper 1
8
a
26I
1
Solution
a
b
26I
1
Solution
b
c
26I
1
Solution
c
d
26I
1
Solution
d
27J
Paper 1
11
a
27J
1
Solution
a
b
27J
1
Solution
b
c
27J
1
Solution
c
d
27J
4
i
d
1
Solution
i
ii
d
1
Solution
ii
28J
Paper 1
1
Solution
28J
29K
Paper 1
6
a
29K
1
Solution
a
b
29K
1
Solution
b
c
29K
1
Solution
c
30K
Paper 1
11
a
30K
1
Solution
a
b
30K
1
Solution
b
c
30K
1
Solution
c
d
30K
4
i
d
1
Solution
i
ii
d
1
Solution
ii
31E
Paper 1
6
a
31E
1
Solution
a
b
31E
1
Solution
b
c
31E
1
Solution
c
32A
Paper 1
10
a
32A
1
Solution
a
b
32A
1
Solution
b
c
32A
1
Solution
c
d
32A
1
Solution
d
e
32A
1
Solution
e
33D
Paper 1
1
Solution
33D
34A
Paper 1
1
Solution
34A
35A
Paper 1
7
a
35A
1
Solution
a
b
35A
4
i
b
1
Solution
i
ii
b
1
Solution
ii
36D
Paper 1
1
Solution
36D
37E
Paper 1
8
a
37E
1
Solution
a
b
37E
1
Solution
b
c
37E
1
Solution
c
d
37E
1
Solution
d
38C
Paper 1
1
Solution
38C
39C
Paper 1
1
Solution
39C
40E
Paper 1
4
a
40E
1
Solution
a
b
40E
1
Solution
b
Paper 2
ii
207
1G
Paper 2
1
Solution
1G
2F
Paper 2
2
b
2F
1
Solution
b
3H
Paper 2
1
Solution
3H
4G
Paper 2
6
a
4G
1
Solution
a
b
4G
1
Solution
b
c
4G
1
Solution
c
5J
Paper 2
1
Solution
5J
6C
Paper 2
1
Solution
6C
7B
Paper 2
1
Solution
7B
8B
Paper 2
1
Solution
8B
9B
Paper 2
4
a
9B
1
Solution
a
b
9B
1
Solution
b
10D
Paper 2
4
a
10D
1
Solution
a
b
10D
1
Solution
b
11F
Paper 2
15
a
11F
1
Solution
a
b
11F
10
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
iv
b
1
Solution
iv
v
b
1
Solution
v
r
11F
1
Solution
r
12H
Paper 2
1
Solution
12H
13B
Paper 2
9
a
13B
1
Solution
a
b
13B
6
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
14B
Paper 2
1
Solution
14B
15D
Paper 2
4
a
15D
1
Solution
a
b
15D
1
Solution
b
16G
Paper 2
1
Solution
16G
17I
Paper 2
1
Solution
17I
18I
Paper 2
1
Solution
18I
19I
Paper 2
11
a
19I
1
Solution
a
b
19I
6
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
c
19I
1
Solution
c
20G
Paper 2
6
a
20G
1
Solution
a
b
20G
1
Solution
b
c
20G
1
Solution
c
21H
Paper 2
10
a
21H
1
Solution
a
b
21H
1
Solution
b
c
21H
1
Solution
c
d
21H
1
Solution
d
e
21H
1
Solution
e
22F
Paper 2
6
a
22F
1
Solution
a
b
22F
1
Solution
b
c
22F
1
Solution
c
23F
Paper 2
1
Solution
23F
24I
Paper 2
4
a
24I
1
Solution
a
b
24I
1
Solution
b
25I
Paper 2
8
a
25I
1
Solution
a
b
25I
1
Solution
b
c
25I
1
Solution
c
d
25I
1
Solution
d
26J
Paper 2
8
a
26J
1
Solution
a
b
26J
1
Solution
b
c
26J
1
Solution
c
d
26J
1
Solution
d
27J
Paper 2
1
Solution
27J
28K
Paper 2
8
a
28K
1
Solution
a
b
28K
1
Solution
b
c
28K
1
Solution
c
d
28K
1
Solution
d
29K
Paper 2
4
a
29K
1
Solution
a
b
29K
1
Solution
b
30K
Paper 2
4
a
30K
1
Solution
a
b
30K
1
Solution
b
31B
Paper 2
1
Solution
31B
32E
Paper 2
1
Solution
32E
33A
Paper 2
7
a
33A
1
Solution
a
b
33A
4
i
b
1
Solution
i
ii
b
1
Solution
ii
34D
Paper 2
1
Solution
34D
35A
Paper 2
1
Solution
35A
36A
Paper 2
9
a
36A
1
Solution
a
b
36A
6
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
37E
Paper 2
11
a
37E
1
Solution
a
b
37E
1
Solution
b
c
37E
6
i
c
1
Solution
i
ii
c
1
Solution
ii
iii
c
1
Solution
iii
38C
Paper 2
1
Solution
38C
39C
Paper 2
1
Solution
39C
40E
Paper 2
8
a
40E
1
Solution
a
b
40E
1
Solution
b
c
40E
1
Solution
c
d
40E
1
Solution
d
Paper 3
ii
245
1G
Paper 3
1
Solution
1G
2F
Paper 3
1
Solution
2F
3H
Paper 3
1
Solution
3H
4G
Paper 3
6
a
4G
1
Solution
a
b
4G
1
Solution
b
c
4G
1
Solution
c
5J
Paper 3
1
Solution
5J
6C
Paper 3
1
Solution
6C
7B
Paper 3
1
Solution
7B
8B
Paper 3
1
Solution
8B
9B
Paper 3
4
a
9B
1
Solution
a
b
9B
1
Solution
b
10D
Paper 3
7
a
10D
1
Solution
a
b
10D
4
i
b
1
Solution
i
ii
b
1
Solution
ii
11G
Paper 3
1
Solution
11G
12G
Paper 3
7
a
12G
1
Solution
a
b
12G
4
i
b
1
Solution
i
ii
b
1
Solution
ii
13C
Paper 3
12
a
13C
1
Solution
a
b
13C
1
Solution
b
c
13C
1
Solution
c
d
13C
1
Solution
d
e
13C
1
Solution
e
f
13C
1
Solution
f
14B
Paper 3
8
a
14B
1
Solution
a
b
14B
1
Solution
b
c
14B
1
Solution
c
d
14B
1
Solution
d
15D
Paper 3
11
a
15D
1
Solution
a
b
15D
8
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
iv
b
1
Solution
iv
16G
Paper 3
8
i
16G
1
Solution
i
ii
16G
1
Solution
ii
iii
16G
1
Solution
iii
iv
16G
1
Solution
iv
17I
Paper 3
1
Solution
17I
18I
Paper 3
7
a
18I
1
Solution
a
b
18I
4
i
b
1
Solution
i
ii
b
1
Solution
ii
19I
Paper 3
8
i
19I
1
Solution
i
ii
19I
1
Solution
ii
iii
19I
1
Solution
iii
iv
19I
1
Solution
iv
20H
Paper 3
6
a
20H
1
Solution
a
b
20H
1
Solution
b
c
20H
1
Solution
c
21F
Paper 3
6
a
21F
1
Solution
a
b
21F
1
Solution
b
c
21F
1
Solution
c
22F
Paper 3
9
a
22F
1
Solution
a
b
22F
1
Solution
b
c
22F
4
i
c
1
Solution
i
ii
c
1
Solution
ii
23F
Paper 3
1
Solution
23F
24I
Paper 3
6
a
24I
1
Solution
a
b
24I
1
Solution
b
c
24I
1
Solution
c
25I
Paper 3
6
a
25I
1
Solution
a
b
25I
1
Solution
b
c
25I
1
Solution
c
26J
Paper 3
14
a
26J
1
Solution
a
b
26J
1
Solution
b
c
26J
1
Solution
c
d
26J
1
Solution
d
e
26J
1
Solution
e
f
26J
1
Solution
f
g
26J
1
Solution
g
27J
Paper 3
1
Solution
27J
28K
Paper 3
6
a
28K
1
Solution
a
b
28K
1
Solution
b
c
28K
1
Solution
c
29K
Paper 3
13
a
29K
1
Solution
a
b
29K
1
Solution
b
c
29K
6
i
c
1
Solution
i
ii
c
1
Solution
ii
iii
c
1
Solution
iii
d
29K
1
Solution
d
30K
Paper 3
6
a
30K
1
Solution
a
b
30K
1
Solution
b
c
30K
1
Solution
c
31B
Paper 3
4
a
31B
1
Solution
a
b
31B
1
Solution
b
32E
Paper 3
1
Solution
32E
33A
Paper 3
8
a
33A
1
Solution
a
b
33A
1
Solution
b
c
33A
1
Solution
c
d
33A
1
Solution
d
34D
Paper 3
1
Solution
34D
35A
Paper 3
1
Solution
35A
36A
Paper 3
13
a
36A
1
Solution
a
b
36A
10
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
iv
b
1
Solution
iv
v
b
1
Solution
v
37D
Paper 3
1
Solution
37D
38E
Paper 3
6
a
38E
1
Solution
a
b
38E
1
Solution
b
c
38E
1
Solution
c
39C
Paper 3
1
Solution
39C
40C
Paper 3
1
Solution
40C
41E
Paper 3
6
a
41E
1
Solution
a
b
41E
1
Solution
b
c
41E
1
Solution
c
Paper 4
ii
192
1G
Paper 4
1
Solution
1G
2F
Paper 4
1
Solution
2F
3H
Paper 4
1
Solution
3H
4G
Paper 4
8
a
4G
1
Solution
a
b
4G
1
Solution
b
c
4G
1
Solution
c
d
4G
1
Solution
d
5J
Paper 4
1
Solution
5J
6C
Paper 4
1
Solution
6C
7B
Paper 4
1
Solution
7B
8B
Paper 4
1
Solution
8B
9B
Paper 4
1
Solution
9B
10D
Paper 4
6
a
10D
1
Solution
a
b
10D
1
Solution
b
c
10D
1
Solution
c
11G
Paper 4
6
a
11G
1
Solution
a
b
11G
1
Solution
b
c
11G
1
Solution
c
12F
Paper 4
1
Solution
12F
13J
Paper 4
6
a
13J
1
Solution
a
b
13J
1
Solution
b
c
13J
1
Solution
c
14C
Paper 4
1
Solution
14C
15B
Paper 4
1
Solution
15B
16G
Paper 4
1
Solution
16G
17I
Paper 4
1
Solution
17I
18I
Paper 4
1
Solution
18I
19I
Paper 4
9
a
19I
6
i
a
1
Solution
i
ii
a
1
Solution
ii
iii
a
1
Solution
iii
b
19I
1
Solution
b
20G
Paper 4
6
a
20G
1
Solution
a
b
20G
1
Solution
b
c
20G
1
Solution
c
21H
Paper 4
6
a
21H
1
Solution
a
b
21H
1
Solution
b
c
21H
1
Solution
c
22F
Paper 4
6
a
22F
1
Solution
a
b
22F
1
Solution
b
c
22F
1
Solution
c
23F
Paper 4
8
a
23F
1
Solution
a
b
23F
1
Solution
b
c
23F
1
Solution
c
d
23F
1
Solution
d
24I
Paper 4
1
Solution
24I
25I
Paper 4
9
a
25I
1
Solution
a
b
25I
1
Solution
b
c
25I
4
i
c
1
Solution
i
ii
c
1
Solution
ii
26J
Paper 4
13
a
26J
4
i
a
1
Solution
i
ii
a
1
Solution
ii
b
26J
1
Solution
b
c
26J
1
Solution
c
d
26J
1
Solution
d
e
26J
1
Solution
e
27J
Paper 4
1
Solution
27J
28K
Paper 4
8
a
28K
1
Solution
a
b
28K
1
Solution
b
c
28K
1
Solution
c
d
28K
1
Solution
d
29K
Paper 4
6
a
29K
1
Solution
a
b
29K
1
Solution
b
c
29K
1
Solution
c
30K
Paper 4
4
a
30K
1
Solution
a
b
30K
1
Solution
b
31B
Paper 4
1
Solution
31B
32E
Paper 4
1
Solution
32E
33D
Paper 4
1
Solution
33D
34A
Paper 4
1
Solution
34A
35A
Paper 4
7
a
35A
1
Solution
a
b
35A
4
i
b
1
Solution
i
ii
b
1
Solution
ii
36D
Paper 4
4
a
36D
1
Solution
a
b
36D
1
Solution
b
37E
Paper 4
9
a
37E
1
Solution
a
b
37E
6
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
38C
Paper 4
1
Solution
38C
39C
Paper 4
1
Solution
39C
40E
Paper 4
9
a
40E
1
Solution
a
b
40E
1
Solution
b
c
40E
1
Solution
c
d
40E
2
i
d
1
Solution
i
Ancestors
(7)
2018
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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