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Past exam of the mathematics course of the University of Cambridge
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2019
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ib
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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
2019
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Articles: 365
Table of contents
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
Solution
a
b
7H
1
Solution
b
8H
Paper 1
1
Solution
8H
9F
Paper 1
6
a
9F
1
Solution
a
b
9F
1
Solution
b
c
9F
1
Solution
c
10G
Paper 1
6
a
10G
1
Solution
a
b
10G
1
Solution
b
c
10G
1
Solution
c
11E
Paper 1
4
a
11E
1
Solution
a
b
11E
1
Solution
b
12G
Paper 1
6
a
12G
1
Solution
a
b
12G
1
Solution
b
c
12G
1
Solution
c
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
Solution
a
b
18C
1
Solution
b
19H
Paper 1
6
a
19H
1
Solution
a
b
19H
1
Solution
b
c
19H
1
Solution
c
20H
Paper 1
6
a
20H
1
Solution
a
b
20H
1
Solution
b
c
20H
1
Solution
c
Paper 2
ib
77
1F
Paper 2
1
Solution
1F
2G
Paper 2
1
Solution
2G
3E
Paper 2
4
a
3E
1
Solution
a
b
3E
1
Solution
b
4G
Paper 2
4
a
4G
1
Solution
a
b
4G
1
Solution
b
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
Solution
a
b
8H
1
Solution
b
c
8H
1
Solution
c
9H
Paper 2
1
Solution
9H
10F
Paper 2
8
a
10F
1
Solution
a
b
10F
1
Solution
b
c
10F
1
Solution
c
d
10F
1
Solution
d
11G
Paper 2
6
a
11G
1
Solution
a
b
11G
1
Solution
b
c
11G
1
Solution
c
12E
Paper 2
10
a
12E
4
ii
a
1
Solution
ii
iii
a
1
Solution
iii
b
12E
4
i
b
1
Solution
i
ii
b
1
Solution
ii
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
Solution
a
b
20H
1
Solution
b
c
20H
1
Solution
c
Paper 3
ib
99
1G
Paper 3
1
Solution
1G
2E
Paper 3
9
a
2E
1
Solution
a
b
2E
6
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
3G
Paper 3
4
a
3G
1
Solution
a
b
3G
1
Solution
b
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
Solution
a
b
9H
1
Solution
b
c
9H
1
Solution
c
10F
Paper 3
1
Solution
10F
11G
Paper 3
6
a
11G
1
Solution
a
b
11G
1
Solution
b
c
11G
1
Solution
c
12E
Paper 3
7
a
12E
1
Solution
a
b
12E
4
i
b
1
Solution
i
ii
b
1
Solution
ii
13F
Paper 3
1
Solution
13F
14E
Paper 3
9
a
14E
1
Solution
a
b
14E
4
i
b
1
Solution
i
ii
b
1
Solution
ii
c
14E
1
Solution
c
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
Solution
a
b
19C
1
Solution
b
c
19C
1
Solution
c
d
19C
1
Solution
d
20H
Paper 3
13
a
20H
1
Solution
a
b
20H
1
Solution
b
c
20H
6
i
c
1
Solution
i
ii
c
1
Solution
ii
iii
c
1
Solution
iii
d
20H
1
Solution
d
21H
Paper 3
4
a
21H
1
Solution
a
b
21H
1
Solution
b
Paper 4
ib
111
1F
Paper 4
1
Solution
1F
2G
Paper 4
4
a
2G
1
Solution
a
b
2G
1
Solution
b
3E
Paper 4
6
i
3E
1
Solution
i
ii
3E
1
Solution
ii
iii
3E
1
Solution
iii
4F
Paper 4
1
Solution
4F
5D
Paper 4
1
Solution
5D
6B
Paper 4
4
a
6B
1
Solution
a
b
6B
1
Solution
b
7A
Paper 4
1
Solution
7A
8C
Paper 4
1
Solution
8C
9H
Paper 4
2
b
9H
1
Solution
b
10F
Paper 4
1
Solution
10F
11G
Paper 4
6
a
11G
1
Solution
a
b
11G
1
Solution
b
c
11G
1
Solution
c
12E
Paper 4
10
a
12E
2
ii
a
1
Solution
ii
b
12E
6
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
1
Solution
iii
13G
Paper 4
6
a
13G
1
Solution
a
b
13G
1
Solution
b
c
13G
1
Solution
c
14D
Paper 4
6
a
14D
1
Solution
a
b
14D
1
Solution
b
c
14D
1
Solution
c
15E
Paper 4
8
a
15E
1
Solution
a
b
15E
1
Solution
b
c
15E
1
Solution
c
d
15E
1
Solution
d
16A
Paper 4
6
a
16A
1
Solution
a
b
16A
1
Solution
b
c
16A
1
Solution
c
17B
Paper 4
6
a
17B
1
Solution
a
b
17B
1
Solution
b
c
17B
1
Solution
c
18C
Paper 4
6
a
18C
1
Solution
a
b
18C
1
Solution
b
c
18C
1
Solution
c
19H
Paper 4
6
a
19H
1
Solution
a
b
19H
1
Solution
b
c
19H
1
Solution
c
20H
Paper 4
9
a
20H
1
Solution
a
b
20H
4
ii
b
1
Solution
ii
iii
b
1
Solution
iii
c
20H
1
Solution
c
Paper 1
Articles: 74
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Paper 2
Articles: 77
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Paper 3
Articles: 99
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Paper 4
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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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