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Past exam of the mathematics course of the University of Cambridge
/
2010
/
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
2010
Created
2026-09-24
Updated
2026-09-24
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Table of contents
Paper 1
ia
1A
Paper 1
Solution
1A
2C
Paper 1
a
2C
Solution
a
b
2C
Solution
b
3D
Paper 1
Solution
3D
4E
Paper 1
i
4E
Solution
i
ii
4E
Solution
ii
iii
4E
Solution
iii
5A
Paper 1
i
5A
Solution
i
ii
5A
Solution
ii
iii
5A
Solution
iii
6C
Paper 1
Solution
6C
7B
Paper 1
i
7B
Solution
i
ii
7B
Solution
ii
iii
7B
Solution
iii
iv
7B
Solution
iv
8B
Paper 1
i
8B
Solution
i
9E
Paper 1
a
9E
Solution
a
b
9E
Solution
b
c
9E
Solution
c
d
9E
Solution
d
10F
Paper 1
a
10F
Solution
a
b
10F
Solution
b
11D
Paper 1
Solution
11D
12F
Paper 1
a
12F
Solution
a
b
12F
Solution
b
c
12F
Solution
c
d
12F
Solution
d
Paper 2
ia
1A
Paper 2
i
1A
Solution
i
ii
1A
Solution
ii
iii
1A
Solution
iii
iv
1A
Solution
iv
2A
Paper 2
Solution
2A
3F
Paper 2
a
3F
Solution
a
b
3F
Solution
b
4F
Paper 2
a
4F
Solution
a
b
4F
i
b
Solution
i
c
4F
Solution
c
5A
Paper 2
a
5A
Solution
a
b
5A
Solution
b
6A
Paper 2
a
6A
Solution
a
b
6A
Solution
b
c
6A
Solution
c
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
c
8A
Solution
c
9F
Paper 2
a
9F
Solution
a
b
9F
Solution
b
c
9F
Solution
c
10F
Paper 2
a
10F
Solution
a
b
10F
Solution
b
c
10F
Solution
c
d
10F
Solution
d
11F
Paper 2
a
11F
Solution
a
b
11F
Solution
b
c
11F
Solution
c
12F
Paper 2
a
12F
Solution
a
b
12F
Solution
b
c
12F
Solution
c
Paper 3
ia
1D
Paper 3
i
1D
Solution
i
ii
1D
Solution
ii
iii
1D
Solution
iii
2D
Paper 3
Solution
2D
3C
Paper 3
Solution
3C
4C
Paper 3
Solution
4C
5D
Paper 3
i
5D
Solution
i
ii
5D
Solution
ii
6D
Paper 3
Solution
6D
7D
Paper 3
Solution
7D
8D
Paper 3
Solution
8D
9C
Paper 3
a
9C
Solution
a
b
9C
Solution
b
c
9C
Solution
c
10C
Paper 3
Solution
10C
11C
Paper 3
Solution
11C
12C
Paper 3
Solution
12C
Paper 4
ia
1E
Paper 4
a
1E
Solution
a
b
1E
Solution
b
2E
Paper 4
a
2E
Solution
a
b
2E
Solution
b
3B
Paper 4
Solution
3B
4B
Paper 4
Solution
4B
5E
Paper 4
Solution
5E
6E
Paper 4
Solution
6E
7E
Paper 4
a
7E
Solution
a
b
7E
Solution
b
c
7E
Solution
c
8E
Paper 4
Solution
8E
9B
Paper 4
Solution
9B
10B
Paper 4
a
10B
Solution
a
b
10B
Solution
b
11B
Paper 4
Solution
11B
12B
Paper 4
Solution
12B
Paper 1
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperIA_1.pdf
1A
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
1A
2C
(Vectors and Matrices)
0
0
0
Paper 1
a
0
0
0
2C
Solution
0
0
0
a
b
0
0
0
2C
Solution
0
0
0
b
3D
(Analysis I)
0
0
0
Paper 1
Solution
0
0
0
3D
4E
(Analysis I)
0
0
0
Paper 1
i
0
0
0
4E
Solution
0
0
0
i
ii
0
0
0
4E
Solution
0
0
0
ii
iii
0
0
0
4E
Solution
0
0
0
iii
5A
(Vectors and Matrices)
0
0
0
Paper 1
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
6C
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
6C
7B
(Vectors and Matrices)
0
0
0
Paper 1
i
0
0
0
7B
Solution
0
0
0
i
ii
0
0
0
7B
Solution
0
0
0
ii
iii
0
0
0
7B
Solution
0
0
0
iii
iv
0
0
0
7B
Solution
0
0
0
iv
8B
(Vectors and Matrices)
0
0
0
Paper 1
i
0
0
0
8B
Solution
0
0
0
i
9E
(Analysis I)
0
0
0
Paper 1
a
0
0
0
9E
Solution
0
0
0
a
b
0
0
0
9E
Solution
0
0
0
b
c
0
0
0
9E
Solution
0
0
0
c
d
0
0
0
9E
Solution
0
0
0
d
10F
(Analysis I)
0
0
0
Paper 1
a
0
0
0
10F
Solution
0
0
0
a
b
0
0
0
10F
Solution
0
0
0
b
11D
(Analysis I)
0
0
0
Paper 1
Solution
0
0
0
11D
12F
(Analysis I)
0
0
0
Paper 1
a
0
0
0
12F
Solution
0
0
0
a
b
0
0
0
12F
Solution
0
0
0
b
c
0
0
0
12F
Solution
0
0
0
c
d
0
0
0
12F
Solution
0
0
0
d
Paper 2
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperIA_2.pdf
1A
(Differential Equations)
0
0
0
Paper 2
i
0
0
0
1A
Solution
0
0
0
i
ii
0
0
0
1A
Solution
0
0
0
ii
iii
0
0
0
1A
Solution
0
0
0
iii
iv
0
0
0
1A
Solution
0
0
0
iv
2A
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
2A
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
4F
(Probability)
0
0
0
Paper 2
a
0
0
0
4F
Solution
0
0
0
a
b
0
0
0
4F
i
0
0
0
b
Solution
0
0
0
i
c
0
0
0
4F
Solution
0
0
0
c
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
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
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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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