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Past exam of the mathematics course of the University of Cambridge
/
2009
/
ib
/
Paper 3
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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
ib
Created
2026-09-24
Updated
2026-09-24
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www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperIB_3.pdf
Table of contents
1F
Paper 3
Solution
1F
2G
Paper 3
Solution
2G
3E
Paper 3
Solution
3E
4F
Paper 3
i
4F
Solution
i
ii
4F
Solution
ii
iii
4F
Solution
iii
5D
Paper 3
i
5D
Solution
i
6A
Paper 3
Solution
6A
7B
Paper 3
Solution
7B
8H
Paper 3
Solution
8H
9H
Paper 3
Solution
9H
10G
Paper 3
Solution
10G
11F
Paper 3
Solution
11F
12G
Paper 3
Solution
12G
13E
Paper 3
Solution
13E
14E
Paper 3
Solution
14E
15A
Paper 3
Solution
15A
16B
Paper 3
Solution
16B
17A
Paper 3
a
17A
Solution
a
b
17A
Solution
b
c
17A
Solution
c
18D
Paper 3
Solution
18D
19C
Paper 3
Solution
19C
20H
Paper 3
Solution
20H
1F
(Groups, Rings and Modules)
0
0
0
Paper 3
Solution
0
0
0
1F
2G
(Geometry)
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0
0
Paper 3
Solution
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0
0
2G
3E
(Analysis II)
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0
0
Paper 3
Solution
0
0
0
3E
4F
(Metric and Topological Spaces)
0
0
0
Paper 3
i
0
0
0
4F
Solution
0
0
0
i
ii
0
0
0
4F
Solution
0
0
0
ii
iii
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0
0
4F
Solution
0
0
0
iii
5D
(Complex Methods)
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0
0
Paper 3
i
0
0
0
5D
Solution
0
0
0
i
6A
(Methods)
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0
0
Paper 3
Solution
0
0
0
6A
7B
(Quantum Mechanics)
0
0
0
Paper 3
Solution
0
0
0
7B
8H
(Statistics)
0
0
0
Paper 3
Solution
0
0
0
8H
9H
(Markov Chains)
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0
0
Paper 3
Solution
0
0
0
9H
10G
(Linear Algebra)
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0
0
Paper 3
Solution
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0
0
10G
11F
(Groups, Rings and Modules)
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0
0
Paper 3
Solution
0
0
0
11F
12G
(Geometry)
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0
0
Paper 3
Solution
0
0
0
12G
13E
(Analysis II)
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0
0
Paper 3
Solution
0
0
0
13E
14E
(Complex Analysis)
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0
0
Paper 3
Solution
0
0
0
14E
15A
(Methods)
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0
0
Paper 3
Solution
0
0
0
15A
16B
(Quantum Mechanics)
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0
0
Paper 3
Solution
0
0
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16B
17A
(Electromagnetism)
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0
0
Paper 3
a
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0
0
17A
Solution
0
0
0
a
b
0
0
0
17A
Solution
0
0
0
b
c
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0
0
17A
Solution
0
0
0
c
18D
(Fluid Dynamics)
0
0
0
Paper 3
Solution
0
0
0
18D
19C
(Numerical Analysis)
0
0
0
Paper 3
Solution
0
0
0
19C
20H
(Optimization)
0
0
0
Paper 3
Solution
0
0
0
20H
Ancestors
(8)
ib
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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