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Past exam of the mathematics course of the University of Cambridge
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2008
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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
2008
Created
2026-09-24
Updated
2026-09-24
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Table of contents
Paper 1
ia
1B
Paper 1
Solution
1B
2A
Paper 1
i
2A
Solution
i
ii
2A
Solution
ii
3F
Paper 1
Solution
3F
4E
Paper 1
Solution
4E
5B
Paper 1
a
5B
i
a
Solution
i
ii
a
Solution
ii
b
5B
Solution
b
6A
Paper 1
Solution
6A
7C
Paper 1
Solution
7C
8C
Paper 1
Solution
8C
9F
Paper 1
i
9F
Solution
i
ii
9F
Solution
ii
10D
Paper 1
a
10D
Solution
a
b
10D
Solution
b
c
10D
i
c
Solution
i
ii
c
Solution
ii
iii
c
Solution
iii
11D
Paper 1
a
11D
Solution
a
b
11D
Solution
b
c
11D
i
c
Solution
i
ii
c
Solution
ii
12E
Paper 1
i
12E
Solution
i
ii
12E
Solution
ii
Paper 2
ia
1A
Paper 2
Solution
1A
2A
Paper 2
Solution
2A
3F
Paper 2
Solution
3F
4F
Paper 2
Solution
4F
5A
Paper 2
i
5A
Solution
i
ii
5A
Solution
ii
iii
5A
Solution
iii
iv
5A
Solution
iv
v
5A
Solution
v
6A
Paper 2
Solution
6A
7A
Paper 2
Solution
7A
8A
Paper 2
Solution
8A
9F
Paper 2
Solution
9F
10F
Paper 2
i
10F
Solution
i
ii
10F
Solution
ii
11F
Paper 2
Solution
11F
12F
Paper 2
Solution
12F
Paper 3
ia
1E
Paper 3
Solution
1E
2E
Paper 3
Solution
2E
3C
Paper 3
i
3C
Solution
i
ii
3C
Solution
ii
4C
Paper 3
Solution
4C
5E
Paper 3
i
5E
Solution
i
ii
5E
Solution
ii
6E
Paper 3
Solution
6E
7E
Paper 3
i
7E
Solution
i
ii
7E
Solution
ii
iii
7E
Solution
iii
8E
Paper 3
Solution
8E
9C
Paper 3
i
9C
Solution
i
ii
9C
Solution
ii
10C
Paper 3
i
10C
Solution
i
ii
10C
Solution
ii
iii
10C
Solution
iii
11C
Paper 3
a
11C
Solution
a
b
11C
i
b
Solution
i
ii
b
Solution
ii
iii
b
Solution
iii
12C
Paper 3
i
12C
Solution
i
ii
12C
Solution
ii
iii
12C
Solution
iii
Paper 4
ia
1D
Paper 4
i
1D
Solution
i
ii
1D
Solution
ii
iii
1D
Solution
iii
iv
1D
Solution
iv
2D
Paper 4
a
2D
Solution
a
b
2D
Solution
b
3B
Paper 4
Solution
3B
4B
Paper 4
Solution
4B
5D
Paper 4
a
5D
Solution
a
b
5D
Solution
b
c
5D
Solution
c
6D
Paper 4
a
6D
Solution
a
b
6D
Solution
b
c
6D
Solution
c
7D
Paper 4
a
7D
Solution
a
b
7D
Solution
b
8D
Paper 4
Solution
8D
9B
Paper 4
Solution
9B
10B
Paper 4
i
10B
Solution
i
ii
10B
Solution
ii
11B
Paper 4
i
11B
Solution
i
ii
11B
Solution
ii
12B
Paper 4
Solution
12B
Paper 1
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2008/PaperIA_1.pdf
1B
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
1B
2A
(Vectors and Matrices)
0
0
0
Paper 1
i
0
0
0
2A
Solution
0
0
0
i
ii
0
0
0
2A
Solution
0
0
0
ii
3F
(Analysis I)
0
0
0
Paper 1
Solution
0
0
0
3F
4E
(Analysis I)
0
0
0
Paper 1
Solution
0
0
0
4E
5B
(Vectors and Matrices)
0
0
0
Paper 1
a
0
0
0
5B
i
0
0
0
a
Solution
0
0
0
i
ii
0
0
0
a
Solution
0
0
0
ii
b
0
0
0
5B
Solution
0
0
0
b
6A
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
6A
7C
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
7C
8C
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
8C
9F
(Analysis I)
0
0
0
Paper 1
i
0
0
0
9F
Solution
0
0
0
i
ii
0
0
0
9F
Solution
0
0
0
ii
10D
(Analysis I)
0
0
0
Paper 1
a
0
0
0
10D
Solution
0
0
0
a
b
0
0
0
10D
Solution
0
0
0
b
c
0
0
0
10D
i
0
0
0
c
Solution
0
0
0
i
ii
0
0
0
c
Solution
0
0
0
ii
iii
0
0
0
c
Solution
0
0
0
iii
11D
(Analysis I)
0
0
0
Paper 1
a
0
0
0
11D
Solution
0
0
0
a
b
0
0
0
11D
Solution
0
0
0
b
c
0
0
0
11D
i
0
0
0
c
Solution
0
0
0
i
ii
0
0
0
c
Solution
0
0
0
ii
12E
(Analysis I)
0
0
0
Paper 1
i
0
0
0
12E
Solution
0
0
0
i
ii
0
0
0
12E
Solution
0
0
0
ii
Paper 2
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2008/PaperIA_2.pdf
1A
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
1A
2A
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
2A
3F
(Probability)
0
0
0
Paper 2
Solution
0
0
0
3F
4F
(Probability)
0
0
0
Paper 2
Solution
0
0
0
4F
5A
(Differential Equations)
0
0
0
Paper 2
i
0
0
0
5A
Solution
0
0
0
i
ii
0
0
0
5A
Solution
0
0
0
ii
iii
0
0
0
5A
Solution
0
0
0
iii
iv
0
0
0
5A
Solution
0
0
0
iv
v
0
0
0
5A
Solution
0
0
0
v
6A
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
6A
7A
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
7A
8A
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
8A
9F
(Probability)
0
0
0
Paper 2
Solution
0
0
0
9F
10F
(Probability)
0
0
0
Paper 2
i
0
0
0
10F
Solution
0
0
0
i
ii
0
0
0
10F
Solution
0
0
0
ii
11F
(Probability)
0
0
0
Paper 2
Solution
0
0
0
11F
12F
(Probability)
0
0
0
Paper 2
Solution
0
0
0
12F
Paper 3
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2008/PaperIA_3.pdf
1E
(Groups)
0
0
0
Paper 3
Solution
0
0
0
1E
2E
(Groups)
0
0
0
Paper 3
Solution
0
0
0
2E
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2008
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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