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Past exam of the mathematics course of the University of Cambridge
/
2004
/
ib
/
Paper 4
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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
2004
ib
Created
2026-09-24
Updated
2026-09-24
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www.maths.cam.ac.uk/undergrad/pastpapers/files/2004/PaperIB_4.pdf
Table of contents
1E
Paper 4
Solution
1E
2F
Paper 4
i
2F
Solution
i
ii
2F
Solution
ii
iii
2F
Solution
iii
3F
Paper 4
Solution
3F
4E
Paper 4
i
4E
Solution
i
ii
4E
Solution
ii
iii
4E
Solution
iii
5A
Paper 4
Solution
5A
6C
Paper 4
Solution
6C
7D
Paper 4
Solution
7D
8C
Paper 4
Solution
8C
9H
Paper 4
Solution
9H
10G
Paper 4
Solution
10G
11E
Paper 4
i
11E
Solution
i
ii
11E
Solution
ii
iii
11E
Solution
iii
12F
Paper 4
i
12F
Solution
i
ii
12F
Solution
ii
iii
12F
Solution
iii
iv
12F
Solution
iv
v
12F
Solution
v
13F
Paper 4
Solution
13F
14E
Paper 4
i
14E
Solution
i
ii
14E
Solution
ii
iii
14E
Solution
iii
15A
Paper 4
i
15A
Solution
i
ii
15A
Solution
ii
16C
Paper 4
Solution
16C
17D
Paper 4
Solution
17D
18C
Paper 4
Solution
18C
19H
Paper 4
i
19H
Solution
i
ii
19H
Solution
ii
20G
Paper 4
Solution
20G
1E
(Linear Algebra)
0
0
0
Paper 4
Solution
0
0
0
1E
2F
(Groups, Rings and Modules)
0
0
0
Paper 4
i
0
0
0
2F
Solution
0
0
0
i
ii
0
0
0
2F
Solution
0
0
0
ii
iii
0
0
0
2F
Solution
0
0
0
iii
3F
(Analysis II)
0
0
0
Paper 4
Solution
0
0
0
3F
4E
(Further Analysis)
0
0
0
Paper 4
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
(Complex Methods)
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0
0
Paper 4
Solution
0
0
0
5A
6C
(Methods)
0
0
0
Paper 4
Solution
0
0
0
6C
7D
(Special Relativity)
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0
0
Paper 4
Solution
0
0
0
7D
8C
(Fluid Dynamics)
0
0
0
Paper 4
Solution
0
0
0
8C
9H
(Statistics)
0
0
0
Paper 4
Solution
0
0
0
9H
10G
(Optimization)
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0
0
Paper 4
Solution
0
0
0
10G
11E
(Linear Algebra)
0
0
0
Paper 4
i
0
0
0
11E
Solution
0
0
0
i
ii
0
0
0
11E
Solution
0
0
0
ii
iii
0
0
0
11E
Solution
0
0
0
iii
12F
(Groups, Rings and Modules)
0
0
0
Paper 4
i
0
0
0
12F
Solution
0
0
0
i
ii
0
0
0
12F
Solution
0
0
0
ii
iii
0
0
0
12F
Solution
0
0
0
iii
iv
0
0
0
12F
Solution
0
0
0
iv
v
0
0
0
12F
Solution
0
0
0
v
13F
(Analysis II)
0
0
0
Paper 4
Solution
0
0
0
13F
14E
(Further Analysis)
0
0
0
Paper 4
i
0
0
0
14E
Solution
0
0
0
i
ii
0
0
0
14E
Solution
0
0
0
ii
iii
0
0
0
14E
Solution
0
0
0
iii
15A
(Complex Methods)
0
0
0
Paper 4
i
0
0
0
15A
Solution
0
0
0
i
ii
0
0
0
15A
Solution
0
0
0
ii
16C
(Methods)
0
0
0
Paper 4
Solution
0
0
0
16C
17D
(Special Relativity)
0
0
0
Paper 4
Solution
0
0
0
17D
18C
(Fluid Dynamics)
0
0
0
Paper 4
Solution
0
0
0
18C
19H
(Statistics)
0
0
0
Paper 4
i
0
0
0
19H
Solution
0
0
0
i
ii
0
0
0
19H
Solution
0
0
0
ii
20G
(Optimization)
0
0
0
Paper 4
Solution
0
0
0
20G
Ancestors
(8)
ib
2004
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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