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Past exam of the mathematics course of the University of Cambridge
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Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
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Articles: 1k
Table of contents
1k
ia
2020
139
Paper 1
ia
56
1C
Paper 1
10
i
1C
1
ii
1C
1
iii
1C
1
iv
1C
1
v
1C
1
2A
Paper 1
1
Solution
2A
3E
Paper 1
4
a
3E
1
b
3E
1
4F
Paper 1
1
Solution
4F
5C
Paper 1
4
a
5C
1
b
5C
1
6A
Paper 1
1
Solution
6A
7A
Paper 1
1
Solution
7A
8A
Paper 1
1
Solution
8A
9D
Paper 1
9
a
9D
1
b
9D
6
10F
Paper 1
7
a
10F
1
b
10F
1
c
10F
2
11F
Paper 1
1
Solution
11F
12F
Paper 1
4
a
12F
1
c
12F
1
Paper 2
ia
81
1E
Paper 2
8
i
1E
1
ii
1E
1
iii
1E
1
iv
1E
1
2D
Paper 2
8
i
2D
1
ii
2D
1
iii
2D
1
iv
2D
1
3B
Paper 2
7
a
3B
4
b
3B
1
4C
Paper 2
4
i
4C
1
ii
4C
1
5E
Paper 2
8
i
5E
1
ii
5E
1
iii
5E
1
iv
5E
1
6E
Paper 2
4
a
6E
1
b
6E
1
7D
Paper 2
6
a
7D
1
b
7D
1
c
7D
1
8D
Paper 2
9
a
8D
1
b
8D
1
c
8D
4
9B
Paper 2
4
a
9B
1
b
9B
1
10B
Paper 2
6
a
10B
1
b
10B
1
c
10B
1
11C
Paper 2
1
Solution
11C
12C
Paper 2
4
a
12C
1
b
12C
1
ib
2020
146
Paper 1
ib
63
1F
Paper 1
1
Solution
1F
2E
Paper 1
1
Solution
2E
3G
Paper 1
1
Solution
3G
4A
Paper 1
1
Solution
4A
5C
Paper 1
4
a
5C
1
b
5C
1
6H
Paper 1
1
Solution
6H
7H
Paper 1
1
Solution
7H
8F
Paper 1
1
Solution
8F
9G
Paper 1
1
Solution
9G
10E
Paper 1
1
Solution
10E
11E
Paper 1
1
Solution
11E
12G
Paper 1
1
Solution
12G
13D
Paper 1
1
Solution
13D
14B
Paper 1
1
Solution
14B
15A
Paper 1
1
Solution
15A
16D
Paper 1
1
Solution
16D
17C
Paper 1
6
a
17C
1
b
17C
1
c
17C
1
18C
Paper 1
6
a
18C
1
b
18C
1
c
18C
1
19H
Paper 1
8
a
19H
1
b
19H
1
c
19H
1
d
19H
1
20H
Paper 1
4
a
20H
1
b
20H
1
Paper 2
ib
81
1G
Paper 2
1
Solution
1G
2E
Paper 2
1
Solution
2E
3D
Paper 2
1
Solution
3D
4B
Paper 2
1
Solution
4B
5D
Paper 2
1
Solution
5D
6C
Paper 2
1
Solution
6C
7H
Paper 2
1
Solution
7H
8F
Paper 2
8
i
8F
1
ii
8F
1
iii
8F
1
iv
8F
1
9G
Paper 2
1
Solution
9G
10E
Paper 2
4
i
10E
1
ii
10E
1
11F
Paper 2
1
Solution
11F
12B
Paper 2
6
i
12B
1
ii
12B
1
iii
12B
1
13A
Paper 2
4
i
13A
1
ii
13A
1
14A
Paper 2
4
a
14A
1
b
14A
1
15D
Paper 2
4
a
15D
1
b
15D
1
16C
Paper 2
6
a
16C
1
b
16C
1
c
16C
1
17C
Paper 2
6
a
17C
1
b
17C
1
c
17C
1
18H
Paper 2
10
a
18H
1
b
18H
1
c
18H
1
d
18H
1
e
18H
1
19H
Paper 2
1
Solution
19H
ii
2020
1k
Paper 1
ii
266
1H
Paper 1
1
Solution
1H
2H
Paper 1
6
i
2H
1
ii
2H
1
iii
2H
1
3I
Paper 1
9
a
3I
1
b
3I
6
4F
Paper 1
1
Solution
4F
5J
Paper 1
8
a
5J
1
b
5J
1
n
5J
1
c
5J
1
6B
Paper 1
6
i
6B
1
ii
6B
1
iii
6B
1
7E
Paper 1
4
i
7E
1
ii
7E
1
8B
Paper 1
1
Solution
8B
9D
Paper 1
1
Solution
9D
10C
Paper 1
10
i
10C
1
ii
10C
1
iii
10C
1
iv
10C
1
v
10C
1
11I
Paper 1
14
a
11I
6
b
11I
6
12F
Paper 1
7
a
12F
1
b
12F
1
c
12F
2
13J
Paper 1
8
i
13J
1
ii
13J
1
iii
13J
1
iv
13J
1
14E
Paper 1
6
i
14E
1
ii
14E
1
iii
14E
1
15D
Paper 1
1
Solution
15D
16H
Paper 1
6
i
16H
1
ii
16H
1
iii
16H
1
17G
Paper 1
4
a
17G
1
b
17G
1
18G
Paper 1
11
a
18G
1
b
18G
8
19F
Paper 1
1
Solution
19F
20G
Paper 1
1
Solution
20G
21F
Paper 1
6
a
21F
1
b
21F
1
c
21F
1
22I
Paper 1
9
a
22I
1
b
22I
4
n
22I
1
23I
Paper 1
7
a
23I
1
b
23I
4
24F
Paper 1
1
Solution
24F
25F
Paper 1
1
Solution
25F
26I
Paper 1
11
a
26I
1
b
26I
1
c
26I
6
27K
Paper 1
8
a
27K
1
b
27K
1
c
27K
1
d
27K
1
28K
Paper 1
6
a
28K
1
b
28K
1
c
28K
1
29J
Paper 1
1
Solution
29J
30K
Paper 1
4
a
30K
1
b
30K
1
31J
Paper 1
6
a
31J
1
b
31J
1
c
31J
1
32E
Paper 1
6
i
32E
1
ii
32E
1
iii
32E
1
33C
Paper 1
11
a
33C
1
b
33C
8
34A
Paper 1
1
Solution
34A
35C
Paper 1
1
Solution
35C
36A
Paper 1
1
Solution
36A
37D
Paper 1
8
i
37D
1
ii
37D
1
iii
37D
1
iv
37D
1
38D
Paper 1
10
i
38D
1
ii
38D
1
iii
38D
1
iv
38D
1
v
38D
1
39B
Paper 1
8
i
39B
1
ii
39B
1
iii
39B
1
iv
39B
1
40B
Paper 1
9
a
40B
1
b
40B
6
41E
Paper 1
4
a
41E
1
b
41E
1
Paper 2
ii
258
1H
Paper 2
1
Solution
1H
2H
Paper 2
1
Solution
2H
3I
Paper 2
7
a
3I
1
b
3I
4
4F
Paper 2
4
i
4F
1
ii
4F
1
5J
Paper 2
6
a
5J
1
b
5J
1
c
5J
1
6B
Paper 2
6
i
6B
1
ii
6B
1
iii
6B
1
7E
Paper 2
1
Solution
7E
8B
Paper 2
1
Solution
8B
9D
Paper 2
4
i
9D
1
ii
9D
1
10C
Paper 2
6
i
10C
1
ii
10C
1
iii
10C
1
11H
Paper 2
1
Solution
11H
12I
Paper 2
6
i
12I
1
ii
12I
1
iii
12I
1
13E
Paper 2
4
i
13E
1
ii
13E
1
14B
Paper 2
8
i
14B
1
ii
14B
1
iii
14B
1
iv
14B
1
15C
Paper 2
13
a
15C
1
b
15C
1
c
15C
1
d
15C
6
16H
Paper 2
7
a
16H
1
b
16H
4
17G
Paper 2
4
i
17G
1
ii
17G
1
18G
Paper 2
9
a
18G
1
b
18G
1
c
18G
2
d
18G
1
19F
Paper 2
1
Solution
19F
20G
Paper 2
9
a
20G
1
b
20G
6
21F
Paper 2
6
a
21F
1
b
21F
1
c
21F
1
22I
Paper 2
6
a
22I
1
b
22I
1
c
22I
1
23F
Paper 2
1
Solution
23F
24F
Paper 2
6
a
24F
1
b
24F
1
c
24F
1
25I
Paper 2
8
a
25I
1
b
25I
1
c
25I
1
d
25I
1
26K
Paper 2
9
a
26K
1
b
26K
1
c
26K
4
27K
Paper 2
4
i
27K
1
ii
27K
1
28J
Paper 2
1
Solution
28J
29K
Paper 2
10
i
29K
1
ii
29K
1
iii
29K
1
iv
29K
1
v
29K
1
30J
Paper 2
8
a
30J
1
b
30J
1
c
30J
1
d
30J
1
31D
Paper 2
10
a
31D
4
b
31D
4
32E
Paper 2
9
a
32E
1
b
32E
6
33C
Paper 2
6
i
33C
1
ii
33C
1
iii
33C
1
34A
Paper 2
7
a
34A
1
b
34A
4
35C
Paper 2
1
Solution
35C
36A
Paper 2
1
Solution
36A
37D
Paper 2
6
i
37D
1
ii
37D
1
iii
37D
1
38B
Paper 2
6
i
38B
1
ii
38B
1
iii
38B
1
39B
Paper 2
6
a
39B
1
b
39B
1
c
39B
1
40E
Paper 2
8
a
40E
1
b
40E
1
c
40E
1
d
40E
1
Paper 3
ii
252
1H
Paper 3
1
Solution
1H
2H
Paper 3
1
Solution
2H
3I
Paper 3
1
Solution
3I
4F
Paper 3
4
i
4F
1
ii
4F
1
5J
Paper 3
6
a
5J
1
b
5J
1
c
5J
1
6B
Paper 3
6
i
6B
1
ii
6B
1
iii
6B
1
7E
Paper 3
4
i
7E
1
ii
7E
1
8B
Paper 3
1
Solution
8B
9D
Paper 3
1
Solution
9D
10C
Paper 3
8
i
10C
1
ii
10C
1
iii
10C
1
iv
10C
1
11H
Paper 3
6
i
11H
1
ii
11H
1
iii
11H
1
12F
Paper 3
1
Solution
12F
13B
Paper 3
6
i
13B
1
ii
13B
1
iii
13B
1
14D
Paper 3
6
i
14D
1
ii
14D
1
iii
14D
1
15C
Paper 3
11
a
15C
1
b
15C
8
16H
Paper 3
1
Solution
16H
17G
Paper 3
8
i
17G
1
ii
17G
1
iii
17G
1
iv
17G
1
18G
Paper 3
4
a
18G
1
b
18G
1
19F
Paper 3
1
Solution
19F
20F
Paper 3
6
a
20F
1
b
20F
1
c
20F
1
21I
Paper 3
8
a
21I
1
b
21I
1
c
21I
1
d
21I
1
22I
Paper 3
7
a
22I
1
b
22I
2
c
22I
1
23F
Paper 3
1
Solution
23F
24F
Paper 3
8
i
24F
1
ii
24F
1
iii
24F
1
iv
24F
1
25I
Paper 3
8
a
25I
1
b
25I
1
c
25I
1
d
25I
1
26K
Paper 3
11
a
26K
1
b
26K
1
c
26K
6
27K
Paper 3
1
Solution
27K
28J
Paper 3
4
i
28J
1
ii
28J
1
29K
Paper 3
12
a
29K
4
b
29K
6
30D
Paper 3
4
a
30D
1
b
30D
1
31E
Paper 3
11
a
31E
1
b
31E
8
32C
Paper 3
4
a
32C
1
b
32C
1
33A
Paper 3
1
Solution
33A
34C
Paper 3
7
a
34C
1
b
34C
4
35A
Paper 3
6
i
35A
1
ii
35A
1
iii
35A
1
36D
Paper 3
4
i
36D
1
ii
36D
1
37D
Paper 3
9
a
37D
1
b
37D
6
38B
Paper 3
11
a
38B
1
b
38B
8
39B
Paper 3
6
i
39B
1
ii
39B
1
iii
39B
1
40E
Paper 3
6
a
40E
1
b
40E
1
c
40E
1
Paper 4
ii
277
1H
Paper 4
1
Solution
1H
2H
Paper 4
1
Solution
2H
3I
Paper 4
4
a
3I
1
b
3I
1
4F
Paper 4
1
Solution
4F
5J
Paper 4
9
a
5J
6
b
5J
1
6B
Paper 4
6
i
6B
1
ii
6B
1
iii
6B
1
7E
Paper 4
1
Solution
7E
8B
Paper 4
1
Solution
8B
9D
Paper 4
1
Solution
9D
10C
Paper 4
8
i
10C
1
ii
10C
1
iii
10C
1
iv
10C
1
11H
Paper 4
8
a
11H
1
b
11H
1
c
11H
1
d
11H
1
12H
Paper 4
9
a
12H
1
b
12H
6
13J
Paper 4
9
a
13J
1
b
13J
6
14B
Paper 4
8
i
14B
1
ii
14B
1
iii
14B
1
iv
14B
1
15B
Paper 4
7
a
15B
1
b
15B
1
c
15B
2
16H
Paper 4
11
a
16H
1
b
16H
1
c
16H
6
17G
Paper 4
1
Solution
17G
18G
Paper 4
4
a
18G
1
b
18G
1
19F
Paper 4
4
a
19F
1
b
19F
1
20G
Paper 4
1
Solution
20G
21F
Paper 4
7
a
21F
2
b
21F
1
c
21F
1
22I
Paper 4
9
a
22I
1
b
22I
1
c
22I
4
23I
Paper 4
6
a
23I
1
b
23I
1
c
23I
1
24F
Paper 4
1
Solution
24F
25I
Paper 4
11
a
25I
1
b
25I
1
c
25I
1
d
25I
4
26K
Paper 4
9
a
26K
1
b
26K
6
27K
Paper 4
6
i
27K
1
ii
27K
1
iii
27K
1
28J
Paper 4
1
Solution
28J
29K
Paper 4
10
i
29K
1
ii
29K
1
iii
29K
1
iv
29K
1
v
29K
1
30J
Paper 4
8
i
30J
1
ii
30J
1
iii
30J
1
iv
30J
1
31A
Paper 4
8
i
31A
1
ii
31A
1
iii
31A
1
iv
31A
1
32E
Paper 4
12
a
32E
2
b
32E
8
33A
Paper 4
1
Solution
33A
34C
Paper 4
9
a
34C
1
b
34C
6
35A
Paper 4
6
i
35A
1
ii
35A
1
iii
35A
1
36D
Paper 4
11
a
36D
1
b
36D
8
37D
Paper 4
8
i
37D
1
ii
37D
1
iii
37D
1
iv
37D
1
38B
Paper 4
6
i
38B
1
ii
38B
1
iii
38B
1
39B
Paper 4
7
a
39B
1
b
39B
4
40E
Paper 4
6
a
40E
1
b
40E
1
c
40E
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
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