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Past exam of the mathematics course of the University of Cambridge / 2006

Table of contents 1k
- ia 2006 236
  - Paper 1 ia 30
    - 1B Paper 1 1
      - Solution 1B
    - 2A Paper 1 1
      - Solution 2A
    - 3F Paper 1 1
      - Solution 3F
    - 4D Paper 1 1
      - Solution 4D
    - 5C Paper 1 1
      - Solution 5C
    - 6C Paper 1 1
      - Solution 6C
    - 7B Paper 1 4
      - i 7B 1
        Solution i
      - ii 7B 1
        Solution ii
    - 8A Paper 1 4
      - i 8A 1
        Solution i
      - ii 8A 1
        Solution ii
    - 9E Paper 1 1
      - Solution 9E
    - 10E Paper 1 1
      - Solution 10E
    - 11F Paper 1 1
      - Solution 11F
    - 12D Paper 1 1
      - Solution 12D
  - Paper 2 ia 29
    - 1B Paper 2 1
      - Solution 1B
    - 2B Paper 2 1
      - Solution 2B
    - 3F Paper 2 1
      - Solution 3F
    - 4F Paper 2 1
      - Solution 4F
    - 5B Paper 2 1
      - Solution 5B
    - 6B Paper 2 6
      - i 6B 1
        Solution i
      - ii 6B 1
        Solution ii
      - iii 6B 1
        Solution iii
    - 7B Paper 2 1
      - Solution 7B
    - 8B Paper 2 1
      - Solution 8B
    - 9F Paper 2 1
      - Solution 9F
    - 10F Paper 2 1
      - Solution 10F
    - 11F Paper 2 1
      - Solution 11F
    - 12F Paper 2 1
      - Solution 12F
  - Paper 3 ia 37
    - 1D Paper 3 6
      - i 1D 1
        Solution i
      - ii 1D 1
        Solution ii
      - iii 1D 1
        Solution iii
    - 2D Paper 3 1
      - Solution 2D
    - 3A Paper 3 1
      - Solution 3A
    - 4A Paper 3 1
      - Solution 4A
    - 5D Paper 3 1
      - Solution 5D
    - 6D Paper 3 1
      - Solution 6D
    - 7D Paper 3 1
      - Solution 7D
    - 8D Paper 3 1
      - Solution 8D
    - 9A Paper 3 6
      - i 9A 1
        Solution i
      - ii 9A 1
        Solution ii
      - iii 9A 1
        Solution iii
    - 10A Paper 3 1
      - Solution 10A
    - 11A Paper 3 1
      - Solution 11A
    - 12A Paper 3 4
      - i 12A 1
        Solution i
      - ii 12A 1
        Solution ii
  - Paper 4 ia 31
    - 1E Paper 4 1
      - Solution 1E
    - 2E Paper 4 1
      - Solution 2E
    - 3C Paper 4 1
      - Solution 3C
    - 4C Paper 4 1
      - Solution 4C
    - 5E Paper 4 8
      - i 5E 1
        Solution i
      - ii 5E 1
        Solution ii
      - iii 5E 1
        Solution iii
      - iv 5E 1
        Solution iv
    - 6E Paper 4 1
      - Solution 6E
    - 7E Paper 4 1
      - Solution 7E
    - 8E Paper 4 1
      - Solution 8E
    - 9C Paper 4 1
      - Solution 9C
    - 10C Paper 4 1
      - Solution 10C
    - 11C Paper 4 1
      - Solution 11C
    - 12C Paper 4 1
      - Solution 12C
  - Paper 5 ia 104
    - 1 Paper 5 10
      - a 1 1
        Solution a
      - b 1 1
        Solution b
      - c 1 1
        Solution c
      - d 1 1
        Solution d
      - e 1 1
        Solution e
    - 2 Paper 5 10
      - a 2 1
        Solution a
      - b 2 1
        Solution b
      - c 2 1
        Solution c
      - d 2 1
        Solution d
      - e 2 1
        Solution e
    - 3 Paper 5 1
      - Solution 3
    - 4 Paper 5 1
      - Solution 4
    - 5 Paper 5 9
      - a 5 6
        i a 1
        ii a 1
        iii a 1
      - b 5 1
        Solution b
    - 6 Paper 5 7
      - a 6 4
        i a 1
        ii a 1
      - b 6 1
        Solution b
    - 7 Paper 5 11
      - a 7 6
        i a 1
        ii a 1
        iii a 1
      - b 7 1
        Solution b
      - c 7 1
        Solution c
    - 8 Paper 5 14
      - a 8 8
        i a 1
        ii a 1
        iii a 1
        iv a 1
      - b 8 4
        i b 1
        ii b 1
    - 9 Paper 5 10
      - a 9 1
        Solution a
      - b 9 1
        Solution b
      - c 9 1
        Solution c
      - d 9 1
        Solution d
      - e 9 1
        Solution e
    - 10 Paper 5 10
      - a 10 1
        Solution a
      - b 10 1
        Solution b
      - c 10 1
        Solution c
      - d 10 1
        Solution d
      - e 10 1
        Solution e
    - 11 Paper 5 8
      - i 11 1
        Solution i
      - ii 11 1
        Solution ii
      - iii 11 1
        Solution iii
      - iv 11 1
        Solution iv
    - 12 Paper 5 1
      - Solution 12
- ib 2006 240
  - Paper 1 ib 44
    - 1H Paper 1 1
      - Solution 1H
    - 2H Paper 1 1
      - Solution 2H
    - 3D Paper 1 1
      - Solution 3D
    - 4B Paper 1 1
      - Solution 4B
    - 5A Paper 1 1
      - Solution 5A
    - 6D Paper 1 4
      - a 6D 1
        Solution a
      - b 6D 1
        Solution b
    - 7C Paper 1 1
      - Solution 7C
    - 8C Paper 1 1
      - Solution 8C
    - 9H Paper 1 1
      - Solution 9H
    - 10E Paper 1 1
      - Solution 10E
    - 11F Paper 1 1
      - Solution 11F
    - 12F Paper 1 4
      - i 12F 1
        Solution i
      - ii 12F 1
        Solution ii
    - 13D Paper 1 1
      - Solution 13D
    - 14A Paper 1 1
      - Solution 14A
    - 15B Paper 1 1
      - Solution 15B
    - 16G Paper 1 1
      - Solution 16G
    - 17A Paper 1 1
      - Solution 17A
    - 18C Paper 1 1
      - Solution 18C
    - 19C Paper 1 1
      - Solution 19C
  - Paper 2 ib 68
    - 1E Paper 2 1
      - Solution 1E
    - 2E Paper 2 6
      - i 2E 1
        Solution i
      - ii 2E 1
        Solution ii
      - iii 2E 1
        Solution iii
    - 3F Paper 2 4
      - i 3F 1
        Solution i
      - ii 3F 1
        Solution ii
    - 4F Paper 2 6
      - i 4F 1
        Solution i
      - ii 4F 1
        Solution ii
      - iii 4F 1
        Solution iii
    - 5A Paper 2 1
      - Solution 5A
    - 6G Paper 2 1
      - Solution 6G
    - 7B Paper 2 1
      - Solution 7B
    - 8A Paper 2 1
      - Solution 8A
    - 9C Paper 2 1
      - Solution 9C
    - 10E Paper 2 1
      - Solution 10E
    - 11E Paper 2 6
      - i 11E 1
        Solution i
      - ii 11E 1
        Solution ii
      - iii 11E 1
        Solution iii
    - 12H Paper 2 1
      - Solution 12H
    - 13F Paper 2 1
      - Solution 13F
    - 14D Paper 2 1
      - Solution 14D
    - 15G Paper 2 1
      - Solution 15G
    - 16B Paper 2 1
      - Solution 16B
    - 17G Paper 2 1
      - Solution 17G
    - 18D Paper 2 6
      - a 18D 1
        Solution a
      - b 18D 1
        Solution b
      - n 18D 1
        Solution n
    - 19C Paper 2 1
      - Solution 19C
    - 20C Paper 2 6
      - a 20C 1
        Solution a
      - b 20C 1
        Solution b
      - c 20C 1
        Solution c
  - Paper 3 ib 62
    - 1E Paper 3 4
      - i 1E 1
        Solution i
      - ii 1E 1
        Solution ii
    - 2H Paper 3 1
      - Solution 2H
    - 3F Paper 3 1
      - Solution 3F
    - 4F Paper 3 4
      - i 4F 1
        Solution i
      - ii 4F 1
        Solution ii
    - 5D Paper 3 1
      - Solution 5D
    - 6A Paper 3 1
      - Solution 6A
    - 7B Paper 3 1
      - Solution 7B
    - 8C Paper 3 4
      - a 8C 1
        Solution a
      - b 8C 1
        Solution b
    - 9C Paper 3 1
      - Solution 9C
    - 10H Paper 3 6
      - a 10H 1
        Solution a
      - b 10H 1
        Solution b
      - c 10H 1
        Solution c
    - 11E Paper 3 1
      - Solution 11E
    - 12H Paper 3 1
      - Solution 12H
    - 13F Paper 3 1
      - Solution 13F
    - 14H Paper 3 1
      - Solution 14H
    - 15G Paper 3 4
      - a 15G 1
        Solution a
      - b 15G 1
        Solution b
    - 16B Paper 3 1
      - Solution 16B
    - 17G Paper 3 1
      - Solution 17G
    - 18A Paper 3 1
      - Solution 18A
    - 19D Paper 3 6
      - a 19D 1
        Solution a
      - b 19D 1
        Solution b
      - c 19D 1
        Solution c
    - 20C Paper 3 1
      - Solution 20C
  - Paper 4 ib 62
    - 1H Paper 4 1
      - Solution 1H
    - 2E Paper 4 1
      - Solution 2E
    - 3F Paper 4 1
      - Solution 3F
    - 4H Paper 4 1
      - Solution 4H
    - 5G Paper 4 1
      - Solution 5G
    - 6B Paper 4 4
      - a 6B 1
        Solution a
      - b 6B 1
        Solution b
    - 7G Paper 4 1
      - Solution 7G
    - 8D Paper 4 4
      - a 8D 1
        Solution a
      - b 8D 1
        Solution b
    - 9C Paper 4 1
      - Solution 9C
    - 10E Paper 4 1
      - Solution 10E
    - 11E Paper 4 4
      - a 11E 1
        Solution a
      - b 11E 1
        Solution b
    - 12H Paper 4 1
      - Solution 12H
    - 13F Paper 4 1
      - Solution 13F
    - 14F Paper 4 4
      - a 14F 1
        Solution a
      - b 14F 1
        Solution b
    - 15D Paper 4 4
      - a 15D 1
        Solution a
      - b 15D 1
        Solution b
    - 16B Paper 4 1
      - Solution 16B
    - 17B Paper 4 8
      - a 17B 1
        Solution a
      - b 17B 1
        Solution b
      - c 17B 1
        Solution c
      - d 17B 1
        Solution d
    - 18A Paper 4 1
      - Solution 18A
    - 19C Paper 4 1
      - Solution 19C
    - 20C Paper 4 1
      - Solution 20C
- ii 2006 546
  - Paper 1 ii 146
    - 1H Paper 1 1
      - Solution 1H
    - 2G Paper 1 1
      - Solution 2G
    - 3F Paper 1 1
      - Solution 3F
    - 4G Paper 1 1
      - Solution 4G
    - 5I Paper 1 6
      - i 5I 1
        Solution i
      - ii 5I 1
        Solution ii
      - iii 5I 1
        Solution iii
    - 6B Paper 1 1
      - Solution 6B
    - 7E Paper 1 1
      - Solution 7E
    - 8E Paper 1 1
      - Solution 8E
    - 9C Paper 1 1
      - Solution 9C
    - 10D Paper 1 4
      - a 10D 1
        Solution a
      - b 10D 1
        Solution b
    - 11G Paper 1 4
      - i 11G 1
        Solution i
      - ii 11G 1
        Solution ii
    - 12F Paper 1 1
      - Solution 12F
    - 13I Paper 1 1
      - Solution 13I
    - 14E Paper 1 4
      - a 14E 1
        Solution a
      - b 14E 1
        Solution b
    - 15C Paper 1 6
      - a 15C 1
        Solution a
      - b 15C 1
        Solution b
      - c 15C 1
        Solution c
    - 16H Paper 1 1
      - Solution 16H
    - 17F Paper 1 1
      - Solution 17F
    - 18H Paper 1 1
      - Solution 18H
    - 19F Paper 1 9
      - a 19F 1
        Solution a
      - b 19F 6
        i b 1
        ii b 1
        iii b 1
    - 20G Paper 1 1
      - Solution 20G
    - 21H Paper 1 1
      - Solution 21H
    - 22G Paper 1 1
      - Solution 22G
    - 23F Paper 1 1
      - Solution 23F
    - 24H Paper 1 6
      - a 24H 1
        Solution a
      - b 24H 1
        Solution b
      - c 24H 1
        Solution c
    - 25J Paper 1 8
      - a 25J 1
        Solution a
      - b 25J 1
        Solution b
      - c 25J 1
        Solution c
      - d 25J 1
        Solution d
    - 26J Paper 1 4
      - a 26J 1
        Solution a
      - b 26J 1
        Solution b
    - 27J Paper 1 9
      - a 27J 1
        Solution a
      - b 27J 4
        i b 1
        ii b 1
      - c 27J 1
        Solution c
    - 28I Paper 1 6
      - a 28I 1
        Solution a
      - b 28I 1
        Solution b
      - c 28I 1
        Solution c
    - 29A Paper 1 6
      - a 29A 1
        Solution a
      - b 29A 1
        Solution b
      - c 29A 1
        Solution c
    - 30B Paper 1 1
      - Solution 30B
    - 31E Paper 1 6
      - a 31E 1
        Solution a
      - b 31E 1
        Solution b
      - c 31E 1
        Solution c
    - 32D Paper 1 1
      - Solution 32D
    - 33A Paper 1 1
      - Solution 33A
    - 34E Paper 1 1
      - Solution 34E
    - 35A Paper 1 1
      - Solution 35A
    - 36B Paper 1 1
      - Solution 36B
    - 37C Paper 1 1
      - Solution 37C
    - 38C Paper 1 6
      - a 38C 1
        Solution a
      - b 38C 1
        Solution b
      - c 38C 1
        Solution c
  - Paper 2 ii 131
    - 1H Paper 2 1
      - Solution 1H
    - 2G Paper 2 4
      - a 2G 1
        Solution a
      - b 2G 1
        Solution b
    - 3F Paper 2 1
      - Solution 3F
    - 4G Paper 2 1
      - Solution 4G
    - 5I Paper 2 1
      - Solution 5I
    - 6B Paper 2 1
      - Solution 6B
    - 7E Paper 2 1
      - Solution 7E
    - 8E Paper 2 1
      - Solution 8E
    - 9C Paper 2 1
      - Solution 9C
    - 10D Paper 2 1
      - Solution 10D
    - 11G Paper 2 4
      - a 11G 1
        Solution a
      - b 11G 1
        Solution b
    - 12G Paper 2 1
      - Solution 12G
    - 13B Paper 2 6
      - a 13B 1
        Solution a
      - b 13B 1
        Solution b
      - c 13B 1
        Solution c
    - 14E Paper 2 1
      - Solution 14E
    - 15D Paper 2 7
      - a 15D 1
        Solution a
      - b 15D 4
        i b 1
        ii b 1
    - 16H Paper 2 12
      - a 16H 1
        Solution a
      - b 16H 1
        Solution b
      - c 16H 1
        Solution c
      - d 16H 1
        Solution d
      - e 16H 1
        Solution e
      - f 16H 1
        Solution f
    - 17F Paper 2 1
      - Solution 17F
    - 18H Paper 2 1
      - Solution 18H
    - 19F Paper 2 4
      - a 19F 1
        Solution a
      - b 19F 1
        Solution b
    - 20G Paper 2 1
      - Solution 20G
    - 21H Paper 2 1
      - Solution 21H
    - 22G Paper 2 1
      - Solution 22G
    - 23F Paper 2 4
      - a 23F 1
        Solution a
      - b 23F 1
        Solution b
    - 24H Paper 2 6
      - a 24H 1
        Solution a
      - b 24H 1
        Solution b
      - c 24H 1
        Solution c
    - 25J Paper 2 8
      - a 25J 1
        Solution a
      - b 25J 1
        Solution b
      - c 25J 1
        Solution c
      - d 25J 1
        Solution d
    - 26J Paper 2 4
      - a 26J 1
        Solution a
      - b 26J 1
        Solution b
    - 27J Paper 2 1
      - Solution 27J
    - 28I Paper 2 4
      - a 28I 1
        Solution a
      - b 28I 1
        Solution b
    - 29I Paper 2 1
      - Solution 29I
    - 30A Paper 2 1
      - Solution 30A
    - 31E Paper 2 1
      - Solution 31E
    - 32A Paper 2 1
      - Solution 32A
    - 33D Paper 2 1
      - Solution 33D
    - 34D Paper 2 1
      - Solution 34D
    - 35A Paper 2 4
      - i 35A 1
        Solution i
      - ii 35A 1
        Solution ii
    - 36B Paper 2 1
      - Solution 36B
    - 37C Paper 2 1
      - Solution 37C
    - 38C Paper 2 1
      - Solution 38C
  - Paper 3 ii 132
    - 1H Paper 3 1
      - Solution 1H
    - 2G Paper 3 1
      - Solution 2G
    - 3F Paper 3 1
      - Solution 3F
    - 4G Paper 3 1
      - Solution 4G
    - 5I Paper 3 1
      - Solution 5I
    - 6B Paper 3 4
      - a 6B 1
        Solution a
      - b 6B 1
        Solution b
    - 7E Paper 3 1
      - Solution 7E
    - 8E Paper 3 1
      - Solution 8E
    - 9C Paper 3 4
      - i 9C 1
        Solution i
      - ii 9C 1
        Solution ii
    - 10D Paper 3 4
      - a 10D 1
        Solution a
      - b 10D 1
        Solution b
    - 11H Paper 3 1
      - Solution 11H
    - 12G Paper 3 1
      - Solution 12G
    - 13B Paper 3 6
      - a 13B 1
        Solution a
      - b 13B 1
        Solution b
      - c 13B 1
        Solution c
    - 14E Paper 3 6
      - a 14E 1
        Solution a
      - b 14E 1
        Solution b
      - c 14E 1
        Solution c
    - 15C Paper 3 4
      - i 15C 1
        Solution i
      - ii 15C 1
        Solution ii
    - 16H Paper 3 4
      - a 16H 1
        Solution a
      - b 16H 1
        Solution b
    - 17F Paper 3 1
      - Solution 17F
    - 18H Paper 3 1
      - Solution 18H
    - 19F Paper 3 6
      - a 19F 1
        Solution a
      - b 19F 1
        Solution b
      - c 19F 1
        Solution c
    - 20H Paper 3 1
      - Solution 20H
    - 21G Paper 3 1
      - Solution 21G
    - 22F Paper 3 1
      - Solution 22F
    - 23H Paper 3 4
      - a 23H 1
        Solution a
      - b 23H 1
        Solution b
    - 24J Paper 3 6
      - a 24J 1
        Solution a
      - b 24J 1
        Solution b
      - c 24J 1
        Solution c
    - 25J Paper 3 1
      - Solution 25J
    - 26J Paper 3 6
      - a 26J 1
        Solution a
      - b 26J 1
        Solution b
      - c 26J 1
        Solution c
    - 27I Paper 3 6
      - a 27I 1
        Solution a
      - b 27I 1
        Solution b
      - c 27I 1
        Solution c
    - 28I Paper 3 1
      - Solution 28I
    - 29A Paper 3 1
      - Solution 29A
    - 30B Paper 3 1
      - Solution 30B
    - 31E Paper 3 6
      - a 31E 1
        Solution a
      - b 31E 1
        Solution b
      - c 31E 1
        Solution c
    - 32D Paper 3 1
      - Solution 32D
    - 33A Paper 3 1
      - Solution 33A
    - 34D Paper 3 1
      - Solution 34D
    - 35E Paper 3 1
      - Solution 35E
    - 36B Paper 3 1
      - Solution 36B
    - 37C Paper 3 1
      - Solution 37C
    - 38C Paper 3 4
      - a 38C 1
        Solution a
      - b 38C 1
        Solution b
  - Paper 4 ii 133
    - 1H Paper 4 1
      - Solution 1H
    - 2G Paper 4 4
      - a 2G 1
        Solution a
      - b 2G 1
        Solution b
    - 3F Paper 4 1
      - Solution 3F
    - 4G Paper 4 1
      - Solution 4G
    - 5I Paper 4 1
      - Solution 5I
    - 6B Paper 4 4
      - a 6B 1
        Solution a
      - b 6B 1
        Solution b
    - 7E Paper 4 1
      - Solution 7E
    - 8E Paper 4 1
      - Solution 8E
    - 9C Paper 4 1
      - Solution 9C
    - 10D Paper 4 1
      - Solution 10D
    - 11H Paper 4 4
      - a 11H 1
        Solution a
      - b 11H 1
        Solution b
    - 12F Paper 4 1
      - Solution 12F
    - 13I Paper 4 1
      - Solution 13I
    - 14E Paper 4 4
      - a 14E 1
        Solution a
      - b 14E 1
        Solution b
    - 15D Paper 4 4
      - a 15D 1
        Solution a
      - b 15D 1
        Solution b
    - 16H Paper 4 1
      - Solution 16H
    - 17F Paper 4 1
      - Solution 17F
    - 18H Paper 4 1
      - Solution 18H
    - 19F Paper 4 12
      - a 19F 4
        i a 1
        ii a 1
      - b 19F 6
        i b 1
        ii b 1
        iii b 1
    - 20G Paper 4 1
      - Solution 20G
    - 21H Paper 4 1
      - Solution 21H
    - 22G Paper 4 1
      - Solution 22G
    - 23F Paper 4 1
      - Solution 23F
    - 24H Paper 4 4
      - a 24H 1
        Solution a
      - b 24H 1
        Solution b
    - 25J Paper 4 8
      - a 25J 1
        Solution a
      - b 25J 1
        Solution b
      - c 25J 1
        Solution c
      - d 25J 1
        Solution d
    - 26J Paper 4 4
      - a 26J 1
        Solution a
      - b 26J 1
        Solution b
    - 27J Paper 4 6
      - a 27J 1
        Solution a
      - b 27J 1
        Solution b
      - c 27J 1
        Solution c
    - 28I Paper 4 1
      - Solution 28I
    - 29I Paper 4 1
      - Solution 29I
    - 30A Paper 4 6
      - a 30A 1
        Solution a
      - b 30A 1
        Solution b
      - c 30A 1
        Solution c
    - 31B Paper 4 4
      - a 31B 1
        Solution a
      - b 31B 1
        Solution b
    - 32A Paper 4 1
      - Solution 32A
    - 33D Paper 4 1
      - Solution 33D
    - 34D Paper 4 1
      - Solution 34D
    - 35E Paper 4 1
      - Solution 35E
    - 36A Paper 4 1
      - Solution 36A
    - 37B Paper 4 1
      - Solution 37B
    - 38C Paper 4 1
      - Solution 38C
    - 39C Paper 4 4
      - a 39C 1
        Solution a
      - b 39C 1
        Solution b

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ib

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 Ancestors (6)