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Past exam of the mathematics course of the University of Cambridge
/
2009
/
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
2009
Created
2026-09-24
Updated
2026-09-24
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Table of contents
Paper 1
ia
1C
Paper 1
a
1C
Solution
a
b
1C
Solution
b
c
1C
Solution
c
2B
Paper 1
a
2B
Solution
a
b
2B
Solution
b
c
2B
Solution
c
3F
Paper 1
a
3F
Solution
a
b
3F
Solution
b
4E
Paper 1
Solution
4E
5C
Paper 1
Solution
5C
6B
Paper 1
Solution
6B
7A
Paper 1
a
7A
Solution
a
b
7A
Solution
b
c
7A
Solution
c
d
7A
Solution
d
8A
Paper 1
a
8A
Solution
a
b
8A
Solution
b
c
8A
Solution
c
9F
Paper 1
a
9F
Solution
a
b
9F
Solution
b
c
9F
Solution
c
10D
Paper 1
Solution
10D
11D
Paper 1
Solution
11D
12E
Paper 1
a
12E
Solution
a
b
12E
Solution
b
c
12E
Solution
c
Paper 2
ia
1C
Paper 2
Solution
1C
2C
Paper 2
Solution
2C
3F
Paper 2
a
3F
Solution
a
b
3F
Solution
b
4F
Paper 2
Solution
4F
5C
Paper 2
Solution
5C
6C
Paper 2
Solution
6C
7C
Paper 2
Solution
7C
8C
Paper 2
a
8C
Solution
a
b
8C
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
Solution
11F
12F
Paper 2
Solution
12F
Paper 3
ia
1D
Paper 3
Solution
1D
2D
Paper 3
Solution
2D
3B
Paper 3
Solution
3B
4B
Paper 3
Solution
4B
5D
Paper 3
Solution
5D
6D
Paper 3
Solution
6D
7D
Paper 3
Solution
7D
8D
Paper 3
Solution
8D
9B
Paper 3
Solution
9B
10B
Paper 3
Solution
10B
11B
Paper 3
Solution
11B
12B
Paper 3
Solution
12B
Paper 4
ia
1E
Paper 4
Solution
1E
2E
Paper 4
a
2E
Solution
a
b
2E
Solution
b
3A
Paper 4
Solution
3A
4A
Paper 4
a
4A
Solution
a
b
4A
Solution
b
c
4A
Solution
c
5E
Paper 4
a
5E
Solution
a
b
5E
Solution
b
6E
Paper 4
a
6E
Solution
a
b
6E
7E
Paper 4
Solution
7E
8E
Paper 4
Solution
8E
9A
Paper 4
Solution
9A
10A
Paper 4
a
10A
Solution
a
b
10A
Solution
b
c
10A
Solution
c
11A
Paper 4
Solution
11A
12A
Paper 4
a
12A
Solution
a
b
12A
Solution
b
Paper 1
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperIA_1.pdf
1C
(Vectors and Matrices)
0
0
0
Paper 1
a
0
0
0
1C
Solution
0
0
0
a
b
0
0
0
1C
Solution
0
0
0
b
c
0
0
0
1C
Solution
0
0
0
c
2B
(Vectors and Matrices)
0
0
0
Paper 1
a
0
0
0
2B
Solution
0
0
0
a
b
0
0
0
2B
Solution
0
0
0
b
c
0
0
0
2B
Solution
0
0
0
c
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
4E
(Analysis I)
0
0
0
Paper 1
Solution
0
0
0
4E
5C
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
5C
6B
(Vectors and Matrices)
0
0
0
Paper 1
Solution
0
0
0
6B
7A
(Vectors and Matrices)
0
0
0
Paper 1
a
0
0
0
7A
Solution
0
0
0
a
b
0
0
0
7A
Solution
0
0
0
b
c
0
0
0
7A
Solution
0
0
0
c
d
0
0
0
7A
Solution
0
0
0
d
8A
(Vectors and Matrices)
0
0
0
Paper 1
a
0
0
0
8A
Solution
0
0
0
a
b
0
0
0
8A
Solution
0
0
0
b
c
0
0
0
8A
Solution
0
0
0
c
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
10D
(Analysis I)
0
0
0
Paper 1
Solution
0
0
0
10D
11D
(Analysis I)
0
0
0
Paper 1
Solution
0
0
0
11D
12E
(Analysis I)
0
0
0
Paper 1
a
0
0
0
12E
Solution
0
0
0
a
b
0
0
0
12E
Solution
0
0
0
b
c
0
0
0
12E
Solution
0
0
0
c
Paper 2
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperIA_2.pdf
1C
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
1C
2C
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
2C
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
Solution
0
0
0
4F
5C
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
5C
6C
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
6C
7C
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
7C
8C
(Differential Equations)
0
0
0
Paper 2
a
0
0
0
8C
Solution
0
0
0
a
b
0
0
0
8C
Solution
0
0
0
b
9F
(Probability)
0
0
0
Paper 2
a
0
0
0
9F
Solution
0
0
0
a
b
0
0
0
9F
Solution
0
0
0
b
10F
(Probability)
0
0
0
Paper 2
a
0
0
0
10F
Solution
0
0
0
a
b
0
0
0
10F
Solution
0
0
0
b
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/2009/PaperIA_3.pdf
1D
(Groups)
0
0
0
Paper 3
Solution
0
0
0
1D
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2009
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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