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Past exam of the mathematics course of the University of Cambridge
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2003
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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
2003
Created
2026-09-24
Updated
2026-09-24
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Table of contents
Paper 1
ia
1B
Paper 1
a
1B
Solution
a
b
1B
Solution
b
2D
Paper 1
Solution
2D
3B
Paper 1
Solution
3B
4C
Paper 1
i
4C
Solution
i
5B
Paper 1
a
5B
Solution
a
b
5B
i
b
Solution
i
ii
b
Solution
ii
6A
Paper 1
Solution
6A
7B
Paper 1
i
7B
Solution
i
ii
7B
Solution
ii
8D
Paper 1
i
8D
Solution
i
ii
8D
Solution
ii
iii
8D
Solution
iii
9F
Paper 1
Solution
9F
10F
Paper 1
i
10F
Solution
i
ii
10F
Solution
ii
iii
10F
Solution
iii
11B
Paper 1
Solution
11B
12C
Paper 1
Solution
12C
Paper 2
ia
1D
Paper 2
i
1D
Solution
i
ii
1D
Solution
ii
2D
Paper 2
Solution
2D
3F
Paper 2
a
3F
Solution
a
b
3F
Solution
b
4F
Paper 2
Solution
4F
5D
Paper 2
a
5D
Solution
a
b
5D
Solution
b
6D
Paper 2
Solution
6D
7D
Paper 2
i
7D
Solution
i
ii
7D
Solution
ii
8D
Paper 2
Solution
8D
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
1A
Paper 3
Solution
1A
2B
Paper 3
Solution
2B
3A
Paper 3
Solution
3A
4A
Paper 3
Solution
4A
5E
Paper 3
a
5E
Solution
a
b
5E
Solution
b
6E
Paper 3
Solution
6E
7B
Paper 3
i
7B
Solution
i
ii
7B
Solution
ii
8B
Paper 3
a
8B
Solution
a
b
8B
Solution
b
9A
Paper 3
Solution
9A
10A
Paper 3
Solution
10A
11A
Paper 3
a
11A
Solution
a
b
11A
Solution
b
12A
Paper 3
Solution
12A
Paper 4
ia
1C
Paper 4
i
1C
Solution
i
ii
1C
Solution
ii
2C
Paper 4
i
2C
Solution
i
ii
2C
Solution
ii
iii
2C
Solution
iii
iv
2C
Solution
iv
3E
Paper 4
Solution
3E
4E
Paper 4
Solution
4E
5C
Paper 4
Solution
5C
6C
Paper 4
i
6C
Solution
i
ii
6C
Solution
ii
iii
6C
Solution
iii
7C
Paper 4
i
7C
Solution
i
ii
7C
Solution
ii
iii
7C
Solution
iii
8C
Paper 4
Solution
8C
9E
Paper 4
Solution
9E
10E
Paper 4
Solution
10E
11E
Paper 4
Solution
11E
12E
Paper 4
Solution
12E
Paper 1
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/PaperIA_1.pdf
1B
(Algebra and Geometry)
0
0
0
Paper 1
a
0
0
0
1B
Solution
0
0
0
a
b
0
0
0
1B
Solution
0
0
0
b
2D
(Algebra and Geometry)
0
0
0
Paper 1
Solution
0
0
0
2D
3B
(Analysis)
0
0
0
Paper 1
Solution
0
0
0
3B
4C
(Analysis)
0
0
0
Paper 1
i
0
0
0
4C
Solution
0
0
0
i
5B
(Algebra and Geometry)
0
0
0
Paper 1
a
0
0
0
5B
Solution
0
0
0
a
b
0
0
0
5B
i
0
0
0
b
Solution
0
0
0
i
ii
0
0
0
b
Solution
0
0
0
ii
6A
(Algebra and Geometry)
0
0
0
Paper 1
Solution
0
0
0
6A
7B
(Algebra and Geometry)
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
8D
(Algebra and Geometry)
0
0
0
Paper 1
i
0
0
0
8D
Solution
0
0
0
i
ii
0
0
0
8D
Solution
0
0
0
ii
iii
0
0
0
8D
Solution
0
0
0
iii
9F
(Analysis)
0
0
0
Paper 1
Solution
0
0
0
9F
10F
(Analysis)
0
0
0
Paper 1
i
0
0
0
10F
Solution
0
0
0
i
ii
0
0
0
10F
Solution
0
0
0
ii
iii
0
0
0
10F
Solution
0
0
0
iii
11B
(Analysis)
0
0
0
Paper 1
Solution
0
0
0
11B
12C
(Analysis)
0
0
0
Paper 1
Solution
0
0
0
12C
Paper 2
0
0
0
ia
www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/PaperIA_2.pdf
1D
(Differential Equations)
0
0
0
Paper 2
i
0
0
0
1D
Solution
0
0
0
i
ii
0
0
0
1D
Solution
0
0
0
ii
2D
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
2D
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
5D
(Differential Equations)
0
0
0
Paper 2
a
0
0
0
5D
Solution
0
0
0
a
b
0
0
0
5D
Solution
0
0
0
b
6D
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
6D
7D
(Differential Equations)
0
0
0
Paper 2
i
0
0
0
7D
Solution
0
0
0
i
ii
0
0
0
7D
Solution
0
0
0
ii
8D
(Differential Equations)
0
0
0
Paper 2
Solution
0
0
0
8D
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/2003/PaperIA_3.pdf
1A
(Algebra and Geometry)
0
0
0
Paper 3
Solution
0
0
0
1A
2B
(Algebra and Geometry)
0
0
0
Paper 3
Solution
0
0
0
2B
3A
(Vector Calculus)
0
0
0
Paper 3
Solution
0
0
0
3A
4A
(Vector Calculus)
0
0
0
Paper 3
Solution
0
0
0
4A
5E
(Algebra and Geometry)
0
0
0
Paper 3
a
0
0
0
5E
Solution
0
0
0
a
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2003
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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