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Past exam of the mathematics course of the University of Cambridge / 2005

Table of contents 868
- ia 2005 125
  - Paper 1 ia 49
    - 1C Paper 1 10
      - i 1C 1
        Solution i
      - ii 1C 1
        Solution ii
      - iii 1C 1
        Solution iii
      - iv 1C 1
        Solution iv
      - v 1C 1
        Solution v
    - 2B Paper 1 1
      - Solution 2B
    - 3F Paper 1 1
      - Solution 3F
    - 4D Paper 1 1
      - Solution 4D
    - 5C Paper 1 10
      - i 5C 1
        Solution i
      - ii 5C 1
        Solution ii
      - iii 5C 1
        Solution iii
      - iv 5C 1
        Solution iv
      - v 5C 1
        Solution v
    - 6B Paper 1 1
      - Solution 6B
    - 7A Paper 1 1
      - Solution 7A
    - 8A Paper 1 1
      - Solution 8A
    - 9F Paper 1 8
      - i 9F 1
        Solution i
      - ii 9F 1
        Solution ii
      - iii 9F 1
        Solution iii
      - iv 9F 1
        Solution iv
    - 10D Paper 1 1
      - Solution 10D
    - 11E Paper 1 1
      - Solution 11E
    - 12E Paper 1 1
      - Solution 12E
  - Paper 2 ia 24
    - 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 1
      - Solution 6B
    - 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 24
    - 1D Paper 3 1
      - Solution 1D
    - 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 1
      - Solution 9A
    - 10A Paper 3 1
      - Solution 10A
    - 11A Paper 3 1
      - Solution 11A
    - 12A Paper 3 1
      - Solution 12A
  - Paper 4 ia 24
    - 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 1
      - Solution 5E
    - 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
- ib 2005 200
  - Paper 1 ib 41
    - 1C Paper 1 1
      - Solution 1C
    - 2A Paper 1 1
      - Solution 2A
    - 3F Paper 1 1
      - Solution 3F
    - 4G Paper 1 1
      - Solution 4G
    - 5E Paper 1 4
      - a 5E 1
        Solution a
      - b 5E 1
        Solution b
    - 6F Paper 1 1
      - Solution 6F
    - 7D Paper 1 1
      - Solution 7D
    - 8D Paper 1 1
      - Solution 8D
    - 9C Paper 1 1
      - Solution 9C
    - 10C Paper 1 1
      - Solution 10C
    - 11B Paper 1 1
      - Solution 11B
    - 12A Paper 1 1
      - Solution 12A
    - 13F Paper 1 1
      - Solution 13F
    - 14E Paper 1 1
      - Solution 14E
    - 15G Paper 1 1
      - Solution 15G
    - 16H Paper 1 1
      - Solution 16H
    - 17E Paper 1 1
      - Solution 17E
    - 18D Paper 1 1
      - Solution 18D
    - 19D Paper 1 1
      - Solution 19D
  - Paper 2 ib 49
    - 1C Paper 2 1
      - Solution 1C
    - 2C Paper 2 1
      - Solution 2C
    - 3B Paper 2 1
      - Solution 3B
    - 4A Paper 2 1
      - Solution 4A
    - 5E Paper 2 1
      - Solution 5E
    - 6H Paper 2 1
      - Solution 6H
    - 7G Paper 2 1
      - Solution 7G
    - 8E Paper 2 1
      - Solution 8E
    - 9D Paper 2 1
      - Solution 9D
    - 10C Paper 2 4
      - i 10C 1
        Solution i
      - ii 10C 1
        Solution ii
    - 11C Paper 2 1
      - Solution 11C
    - 12A Paper 2 1
      - Solution 12A
    - 13B Paper 2 4
      - i 13B 1
        Solution i
      - ii 13B 1
        Solution ii
    - 14F Paper 2 1
      - Solution 14F
    - 15E Paper 2 1
      - Solution 15E
    - 16G Paper 2 1
      - Solution 16G
    - 17H Paper 2 1
      - Solution 17H
    - 18F Paper 2 4
      - a 18F 1
        Solution a
      - b 18F 1
        Solution b
    - 19D Paper 2 1
      - Solution 19D
    - 20D Paper 2 1
      - Solution 20D
  - Paper 3 ib 51
    - 1C Paper 3 1
      - Solution 1C
    - 2A Paper 3 1
      - Solution 2A
    - 3B Paper 3 4
      - i 3B 1
        Solution i
      - ii 3B 1
        Solution ii
    - 4A Paper 3 1
      - Solution 4A
    - 5F Paper 3 1
      - Solution 5F
    - 6E Paper 3 1
      - Solution 6E
    - 7G Paper 3 1
      - Solution 7G
    - 8D Paper 3 1
      - Solution 8D
    - 9D Paper 3 1
      - Solution 9D
    - 10B Paper 3 1
      - Solution 10B
    - 11C Paper 3 4
      - i 11C 1
        Solution i
      - ii 11C 1
        Solution ii
    - 12A Paper 3 1
      - Solution 12A
    - 13B Paper 3 1
      - Solution 13B
    - 14A Paper 3 1
      - Solution 14A
    - 15H Paper 3 1
      - Solution 15H
    - 16G Paper 3 1
      - Solution 16G
    - 17H Paper 3 1
      - Solution 17H
    - 18E Paper 3 1
      - Solution 18E
    - 19F Paper 3 1
      - Solution 19F
    - 20D Paper 3 6
      - a 20D 1
        Solution a
      - b 20D 1
        Solution b
      - c 20D 1
        Solution c
  - Paper 4 ib 55
    - 1B Paper 4 1
      - Solution 1B
    - 2C Paper 4 1
      - Solution 2C
    - 3B Paper 4 1
      - Solution 3B
    - 4A Paper 4 6
      - a 4A 1
        Solution a
      - b 4A 1
        Solution b
      - c 4A 1
        Solution c
    - 5H Paper 4 1
      - Solution 5H
    - 6G Paper 4 1
      - Solution 6G
    - 7H Paper 4 1
      - Solution 7H
    - 8F Paper 4 1
      - Solution 8F
    - 9D Paper 4 1
      - Solution 9D
    - 10B Paper 4 4
      - i 10B 1
        Solution i
      - ii 10B 1
        Solution ii
    - 11C Paper 4 1
      - Solution 11C
    - 12A Paper 4 1
      - Solution 12A
    - 13B Paper 4 1
      - Solution 13B
    - 14A Paper 4 1
      - Solution 14A
    - 15F Paper 4 1
      - Solution 15F
    - 16H Paper 4 1
      - Solution 16H
    - 17G Paper 4 1
      - Solution 17G
    - 18E Paper 4 1
      - Solution 18E
    - 19D Paper 4 8
      - i 19D 1
        Solution i
      - ii 19D 1
        Solution ii
      - iii 19D 1
        Solution iii
      - iv 19D 1
        Solution iv
    - 20D Paper 4 1
      - Solution 20D
- ii 2005 540
  - Paper 1 ii 112
    - 1H Paper 1 1
      - Solution 1H
    - 2F Paper 1 1
      - Solution 2F
    - 3G Paper 1 1
      - Solution 3G
    - 4J Paper 1 1
      - Solution 4J
    - 5I Paper 1 1
      - Solution 5I
    - 6E Paper 1 4
      - a 6E 1
        Solution a
      - b 6E 1
        Solution b
    - 7B Paper 1 1
      - Solution 7B
    - 8A Paper 1 1
      - Solution 8A
    - 9C Paper 1 1
      - Solution 9C
    - 10D Paper 1 6
      - a 10D 1
        Solution a
      - b 10D 1
        Solution b
      - c 10D 1
        Solution c
    - 11F Paper 1 1
      - Solution 11F
    - 12G Paper 1 1
      - Solution 12G
    - 13I Paper 1 1
      - Solution 13I
    - 14B Paper 1 1
      - Solution 14B
    - 15C Paper 1 4
      - i 15C 1
        Solution i
      - ii 15C 1
        Solution ii
    - 16F Paper 1 1
      - Solution 16F
    - 17F Paper 1 1
      - Solution 17F
    - 18G Paper 1 1
      - Solution 18G
    - 19G Paper 1 6
      - i 19G 1
        Solution i
      - ii 19G 1
        Solution ii
      - iii 19G 1
        Solution iii
    - 20G Paper 1 1
      - Solution 20G
    - 21H Paper 1 4
      - i 21H 1
        Solution i
      - ii 21H 1
        Solution ii
    - 22F Paper 1 1
      - Solution 22F
    - 23H Paper 1 1
      - Solution 23H
    - 24H Paper 1 6
      - i 24H 1
        Solution i
      - ii 24H 1
        Solution ii
      - iii 24H 1
        Solution iii
    - 25J Paper 1 1
      - Solution 25J
    - 26I Paper 1 4
      - a 26I 1
        Solution a
      - b 26I 1
        Solution b
    - 27I Paper 1 1
      - Solution 27I
    - 28J Paper 1 1
      - Solution 28J
    - 29C Paper 1 1
      - Solution 29C
    - 30A Paper 1 1
      - Solution 30A
    - 31D Paper 1 6
      - a 31D 1
        Solution a
      - b 31D 1
        Solution b
      - c 31D 1
        Solution c
    - 32D Paper 1 1
      - Solution 32D
    - 33B Paper 1 1
      - Solution 33B
    - 34B Paper 1 1
      - Solution 34B
    - 35C Paper 1 1
      - Solution 35C
    - 36E Paper 1 2
      - ii 36E 1
        Solution ii
    - 37E Paper 1 1
      - Solution 37E
    - 38A Paper 1 4
      - a 38A 1
        Solution a
      - b 38A 1
        Solution b
  - Paper 2 ii 137
    - 1H Paper 2 1
      - Solution 1H
    - 2F Paper 2 4
      - i 2F 1
        Solution i
      - ii 2F 1
        Solution ii
    - 3G Paper 2 1
      - Solution 3G
    - 4J Paper 2 1
      - Solution 4J
    - 5I Paper 2 1
      - Solution 5I
    - 6E Paper 2 6
      - a 6E 1
        Solution a
      - b 6E 1
        Solution b
      - c 6E 1
        Solution c
    - 7B Paper 2 1
      - Solution 7B
    - 8A Paper 2 1
      - Solution 8A
    - 9C Paper 2 1
      - Solution 9C
    - 10D Paper 2 4
      - a 10D 1
        Solution a
      - b 10D 1
        Solution b
    - 11F Paper 2 4
      - i 11F 1
        Solution i
      - ii 11F 1
        Solution ii
    - 12J Paper 2 1
      - Solution 12J
    - 13E Paper 2 10
      - a 13E 1
        Solution a
      - b 13E 1
        Solution b
      - c 13E 1
        Solution c
      - d 13E 1
        Solution d
      - e 13E 1
        Solution e
    - 14B Paper 2 4
      - i 14B 1
        Solution i
      - ii 14B 1
        Solution ii
    - 15D Paper 2 6
      - a 15D 1
        Solution a
      - b 15D 1
        Solution b
      - c 15D 1
        Solution c
    - 16F Paper 2 8
      - i 16F 1
        Solution i
      - ii 16F 1
        Solution ii
      - iii 16F 1
        Solution iii
      - iv 16F 1
        Solution iv
    - 17F Paper 2 1
      - Solution 17F
    - 18G Paper 2 4
      - i 18G 1
        Solution i
      - ii 18G 1
        Solution ii
    - 19G Paper 2 8
      - i 19G 1
        Solution i
      - ii 19G 1
        Solution ii
      - iii 19G 1
        Solution iii
      - iv 19G 1
        Solution iv
    - 20G Paper 2 1
      - Solution 20G
    - 21H Paper 2 1
      - Solution 21H
    - 22F Paper 2 1
      - Solution 22F
    - 23H Paper 2 1
      - Solution 23H
    - 24H Paper 2 1
      - Solution 24H
    - 25J Paper 2 1
      - Solution 25J
    - 26I Paper 2 1
      - Solution 26I
    - 27I Paper 2 4
      - i 27I 1
        Solution i
      - ii 27I 1
        Solution ii
    - 28J Paper 2 6
      - i 28J 1
        Solution i
      - ii 28J 1
        Solution ii
      - iii 28J 1
        Solution iii
    - 29I Paper 2 1
      - Solution 29I
    - 30C Paper 2 1
      - Solution 30C
    - 31C Paper 2 6
      - a 31C 1
        Solution a
      - b 31C 1
        Solution b
      - c 31C 1
        Solution c
    - 32D Paper 2 1
      - Solution 32D
    - 33B Paper 2 1
      - Solution 33B
    - 34D Paper 2 1
      - Solution 34D
    - 35C Paper 2 1
      - Solution 35C
    - 36E Paper 2 1
      - Solution 36E
    - 37E Paper 2 1
      - Solution 37E
    - 38A Paper 2 1
      - Solution 38A
  - Paper 3 ii 144
    - 1H Paper 3 1
      - Solution 1H
    - 2F Paper 3 6
      - i 2F 1
        Solution i
      - ii 2F 1
        Solution ii
      - iii 2F 1
        Solution iii
    - 3G Paper 3 1
      - Solution 3G
    - 4J Paper 3 1
      - Solution 4J
    - 5I Paper 3 4
      - a 5I 1
        Solution a
      - b 5I 1
        Solution b
    - 6E Paper 3 6
      - a 6E 1
        Solution a
      - b 6E 1
        Solution b
      - c 6E 1
        Solution c
    - 7B Paper 3 1
      - Solution 7B
    - 8A Paper 3 1
      - Solution 8A
    - 9C Paper 3 1
      - Solution 9C
    - 10D Paper 3 6
      - a 10D 1
        Solution a
      - b 10D 1
        Solution b
      - c 10D 1
        Solution c
    - 11H Paper 3 1
      - Solution 11H
    - 12J Paper 3 1
      - Solution 12J
    - 13E Paper 3 12
      - a 13E 1
        Solution a
      - b 13E 1
        Solution b
      - c 13E 1
        Solution c
      - d 13E 1
        Solution d
      - e 13E 1
        Solution e
      - f 13E 1
        Solution f
    - 14A Paper 3 4
      - i 14A 1
        Solution i
      - ii 14A 1
        Solution ii
    - 15C Paper 3 4
      - i 15C 1
        Solution i
      - ii 15C 1
        Solution ii
    - 16F Paper 3 1
      - Solution 16F
    - 17F Paper 3 1
      - Solution 17F
    - 18G Paper 3 1
      - Solution 18G
    - 19G Paper 3 8
      - i 19G 1
        Solution i
      - ii 19G 1
        Solution ii
      - iii 19G 1
        Solution iii
      - iv 19G 1
        Solution iv
    - 20H Paper 3 1
      - Solution 20H
    - 21F Paper 3 1
      - Solution 21F
    - 22H Paper 3 1
      - Solution 22H
    - 23H Paper 3 6
      - i 23H 1
        Solution i
      - ii 23H 1
        Solution ii
      - iii 23H 1
        Solution iii
    - 24J Paper 3 7
      - a 24J 1
        Solution a
      - b 24J 4
        i b 1
        Solution i
        ii b 1
        Solution ii
    - 25I Paper 3 1
      - Solution 25I
    - 26I Paper 3 1
      - Solution 26I
    - 27J Paper 3 8
      - a 27J 1
        Solution a
      - b 27J 1
        Solution b
      - c 27J 1
        Solution c
      - d 27J 1
        Solution d
    - 28I Paper 3 1
      - Solution 28I
    - 29C Paper 3 1
      - Solution 29C
    - 30A Paper 3 1
      - Solution 30A
    - 31A Paper 3 6
      - a 31A 1
        Solution a
      - b 31A 1
        Solution b
      - c 31A 1
        Solution c
    - 32D Paper 3 1
      - Solution 32D
    - 33B Paper 3 1
      - Solution 33B
    - 34D Paper 3 1
      - Solution 34D
    - 35B Paper 3 1
      - Solution 35B
    - 36E Paper 3 1
      - Solution 36E
    - 37E Paper 3 1
      - Solution 37E
    - 38A Paper 3 4
      - a 38A 1
        Solution a
      - b 38A 1
        Solution b
  - Paper 4 ii 143
    - 1H Paper 4 4
      - i 1H 1
        Solution i
      - ii 1H 1
        Solution ii
    - 2F Paper 4 4
      - i 2F 1
        Solution i
      - ii 2F 1
        Solution ii
    - 3G Paper 4 1
      - Solution 3G
    - 4J Paper 4 1
      - Solution 4J
    - 5I Paper 4 1
      - Solution 5I
    - 6E Paper 4 10
      - a 6E 4
        i a 1
        Solution i
        ii a 1
        Solution ii
      - b 6E 2
        iii b 1
        Solution iii
      - c 6E 1
        Solution c
    - 7B Paper 4 1
      - Solution 7B
    - 8A Paper 4 1
      - Solution 8A
    - 9C Paper 4 4
      - i 9C 1
        Solution i
      - ii 9C 1
        Solution ii
    - 10D Paper 4 6
      - a 10D 1
        Solution a
      - b 10D 1
        Solution b
      - c 10D 1
        Solution c
    - 11H Paper 4 4
      - a 11H 1
        Solution a
      - b 11H 1
        Solution b
    - 12G Paper 4 1
      - Solution 12G
    - 13I Paper 4 6
      - i 13I 1
        Solution i
      - ii 13I 1
        Solution ii
      - iii 13I 1
        Solution iii
    - 14A Paper 4 1
      - Solution 14A
    - 15D Paper 4 1
      - Solution 15D
    - 16F Paper 4 1
      - Solution 16F
    - 17F Paper 4 1
      - Solution 17F
    - 18G Paper 4 4
      - i 18G 1
        Solution i
      - ii 18G 1
        Solution ii
    - 19G Paper 4 4
      - i 19G 1
        Solution i
      - ii 19G 1
        Solution ii
    - 20G Paper 4 1
      - Solution 20G
    - 21H Paper 4 1
      - Solution 21H
    - 22F Paper 4 1
      - Solution 22F
    - 23H Paper 4 1
      - Solution 23H
    - 24H Paper 4 6
      - i 24H 1
        Solution i
      - ii 24H 1
        Solution ii
      - iii 24H 1
        Solution iii
    - 25J Paper 4 1
      - Solution 25J
    - 26I Paper 4 6
      - a 26I 1
        Solution a
      - b 26I 1
        Solution b
      - c 26I 1
        Solution c
    - 27I Paper 4 4
      - i 27I 1
        Solution i
      - ii 27I 1
        Solution ii
    - 28J Paper 4 13
      - a 28J 1
        Solution a
      - b 28J 1
        Solution b
      - c 28J 1
        Solution c
      - d 28J 6
        i d 1
        Solution i
        ii d 1
        Solution ii
        iii d 1
        Solution iii
    - 29I Paper 4 1
      - Solution 29I
    - 30C Paper 4 1
      - Solution 30C
    - 31A Paper 4 1
      - Solution 31A
    - 32D Paper 4 1
      - Solution 32D
    - 33B Paper 4 1
      - Solution 33B
    - 34D Paper 4 1
      - Solution 34D
    - 35B Paper 4 1
      - Solution 35B
    - 36C Paper 4 1
      - Solution 36C
    - 37E Paper 4 1
      - Solution 37E
    - 38E Paper 4 1
      - Solution 38E
    - 39A Paper 4 4
      - a 39A 1
        Solution a
      - b 39A 1
        Solution b

 Ancestors (6)