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Past exam of the mathematics course of the University of Cambridge
/
2011
/
ia
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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
2011
Created
2026-09-24
Updated
2026-09-24
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Table of contents
Paper 1
ia
1C
Paper 1
i
1C
Solution
i
ii
1C
Solution
ii
2A
Paper 1
Solution
2A
3F
Paper 1
a
3F
Solution
a
b
3F
Solution
b
c
3F
Solution
c
d
3F
Solution
d
4D
Paper 1
i
4D
Solution
i
ii
4D
Solution
ii
5C
Paper 1
Solution
5C
6A
Paper 1
a
6A
Solution
a
b
6A
Solution
b
c
6A
Solution
c
d
6A
Solution
d
7B
Paper 1
a
7B
Solution
a
b
7B
Solution
b
c
7B
Solution
c
8B
Paper 1
a
8B
i
a
Solution
i
ii
a
Solution
ii
iii
a
Solution
iii
b
8B
Solution
b
9F
Paper 1
a
9F
Solution
a
b
9F
Solution
b
c
9F
Solution
c
10E
Paper 1
i
10E
Solution
i
ii
10E
Solution
ii
iii
10E
Solution
iii
iv
10E
Solution
iv
11E
Paper 1
i
11E
Solution
i
ii
11E
Solution
ii
12D
Paper 1
Solution
12D
Paper 2
ia
1A
Paper 2
a
1A
Solution
a
b
1A
Solution
b
2A
Paper 2
a
2A
Solution
a
b
2A
Solution
b
3F
Paper 2
a
3F
Solution
a
b
3F
Solution
b
c
3F
Solution
c
4F
Paper 2
Solution
4F
5A
Paper 2
a
5A
Solution
a
b
5A
Solution
b
6A
Paper 2
a
6A
Solution
a
b
6A
i
b
Solution
i
ii
b
Solution
ii
iii
b
Solution
iii
iv
b
Solution
iv
7A
Paper 2
a
7A
Solution
a
b
7A
Solution
b
c
7A
Solution
c
8A
Paper 2
a
8A
Solution
a
b
8A
Solution
b
9F
Paper 2
a
9F
Solution
a
b
9F
Solution
b
10F
Paper 2
a
10F
Solution
a
b
10F
Solution
b
11F
Paper 2
a
11F
Solution
a
b
11F
Solution
b
c
11F
Solution
c
d
11F
Solution
d
e
11F
Solution
e
12F
Paper 2
a
12F
Solution
a
b
12F
i
b
Solution
i
ii
b
Solution
ii
iii
b
Solution
iii
Paper 3
ia
1D
Paper 3
a
1D
Solution
a
b
1D
Solution
b
2D
Paper 3
Solution
2D
3C
Paper 3
Solution
3C
4C
Paper 3
Solution
4C
5D
Paper 3
a
5D
Solution
a
b
5D
Solution
b
c
5D
Solution
c
d
5D
Solution
d
6D
Paper 3
a
6D
Solution
a
b
6D
Solution
b
7D
Paper 3
a
7D
Solution
a
b
7D
Solution
b
8D
Paper 3
a
8D
Solution
a
b
8D
Solution
b
9C
Paper 3
Solution
9C
10C
Paper 3
Solution
10C
11C
Paper 3
a
11C
Solution
a
b
11C
Solution
b
c
11C
Solution
c
12C
Paper 3
Solution
12C
Paper 4
ia
1E
Paper 4
i
1E
Solution
i
ii
1E
Solution
ii
2E
Paper 4
Solution
2E
3B
Paper 4
Solution
3B
4B
Paper 4
Solution
4B
5E
Paper 4
a
5E
Solution
a
b
5E
Solution
b
6E
Paper 4
a
6E
Solution
a
b
6E
Solution
b
c
6E
Solution
c
d
6E
Solution
d
7E
Paper 4
Solution
7E
8E
Paper 4
Solution
8E
9B
Paper 4
a
9B
Solution
a
b
9B
Solution
b
c
9B
Solution
c
10B
Paper 4
a
10B
Solution
a
b
10B
Solution
b
11B
Paper 4
a
11B
Solution
a
b
11B
Solution
b
12B
Paper 4
a
12B
Solution
a
b
12B
Solution
b
Paper 1
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2011/PaperIA_1.pdf
1C
(Vectors and Matrices)
0
0
0
Paper 1
i
0
0
0
1C
Solution
0
0
0
i
ii
0
0
0
1C
Solution
0
0
0
ii
2A
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
2A
3F
(Analysis I)
0
0
0
Paper 1
a
0
0
0
3F
Solution
0
0
0
a
b
0
0
0
3F
Solution
0
0
0
b
c
0
0
0
3F
Solution
0
0
0
c
d
0
0
0
3F
Solution
0
0
0
d
4D
(Analysis I)
0
0
0
Paper 1
i
0
0
0
4D
Solution
0
0
0
i
ii
0
0
0
4D
Solution
0
0
0
ii
5C
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
5C
6A
(Vectors and Matrices)
0
0
0
Paper 1
a
0
0
0
6A
Solution
0
0
0
a
b
0
0
0
6A
Solution
0
0
0
b
c
0
0
0
6A
Solution
0
0
0
c
d
0
0
0
6A
Solution
0
0
0
d
7B
(Vectors and Matrices)
0
0
0
Paper 1
a
0
0
0
7B
Solution
0
0
0
a
b
0
0
0
7B
Solution
0
0
0
b
c
0
0
0
7B
Solution
0
0
0
c
8B
(Vectors and Matrices)
0
0
0
Paper 1
a
0
0
0
8B
i
0
0
0
a
Solution
0
0
0
i
ii
0
0
0
a
Solution
0
0
0
ii
iii
0
0
0
a
Solution
0
0
0
iii
b
0
0
0
8B
Solution
0
0
0
b
9F
(Analysis I)
0
0
0
Paper 1
a
0
0
0
9F
Solution
0
0
0
a
b
0
0
0
9F
Solution
0
0
0
b
c
0
0
0
9F
Solution
0
0
0
c
10E
(Analysis I)
0
0
0
Paper 1
i
0
0
0
10E
Solution
0
0
0
i
ii
0
0
0
10E
Solution
0
0
0
ii
iii
0
0
0
10E
Solution
0
0
0
iii
iv
0
0
0
10E
Solution
0
0
0
iv
11E
(Analysis I)
0
0
0
Paper 1
i
0
0
0
11E
Solution
0
0
0
i
ii
0
0
0
11E
Solution
0
0
0
ii
12D
(Analysis I)
0
0
0
Paper 1
Solution
0
0
0
12D
Paper 2
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2011/PaperIA_2.pdf
1A
(Differential Equations)
0
0
0
Paper 2
a
0
0
0
1A
Solution
0
0
0
a
b
0
0
0
1A
Solution
0
0
0
b
2A
(Differential Equations)
0
0
0
Paper 2
a
0
0
0
2A
Solution
0
0
0
a
b
0
0
0
2A
Solution
0
0
0
b
3F
(Probability)
0
0
0
Paper 2
a
0
0
0
3F
Solution
0
0
0
a
b
0
0
0
3F
Solution
0
0
0
b
c
0
0
0
3F
Solution
0
0
0
c
4F
(Probability)
0
0
0
Paper 2
Solution
0
0
0
4F
5A
(Differential Equations)
0
0
0
Paper 2
a
0
0
0
5A
Solution
0
0
0
a
b
0
0
0
5A
Solution
0
0
0
b
6A
(Differential Equations)
0
0
0
Paper 2
a
0
0
0
6A
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2011
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
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