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Past exam of the mathematics course of the University of Cambridge / 2015

Table of contents 900
- ia 2015 225
  - Paper 1 ia 69
    - 1B Paper 1 4
      - a 1B 1
        Solution a
      - b 1B 1
        Solution b
    - 2C Paper 1 1
      - Solution 2C
    - 3F Paper 1 6
      - a 3F 1
        Solution a
      - b 3F 1
        Solution b
      - c 3F 1
        Solution c
    - 4E Paper 1 1
      - Solution 4E
    - 5B Paper 1 6
      - i 5B 1
        Solution i
      - ii 5B 1
        Solution ii
      - iii 5B 1
        Solution iii
    - 6C Paper 1 4
      - i 6C 1
        Solution i
      - ii 6C 1
        Solution ii
    - 7A Paper 1 8
      - i 7A 1
        Solution i
      - ii 7A 1
        Solution ii
      - iii 7A 1
        Solution iii
      - iv 7A 1
        Solution iv
    - 8A Paper 1 17
      - a 8A 10
        i a 1
        Solution i
        ii a 1
        Solution ii
        iii a 1
        Solution iii
        iv a 1
        Solution iv
        v a 1
        Solution v
      - b 8A 1
        Solution b
      - c 8A 1
        Solution c
      - d 8A 1
        Solution d
    - 9F Paper 1 1
      - Solution 9F
    - 10D Paper 1 4
      - a 10D 1
        Solution a
      - b 10D 1
        Solution b
    - 11D Paper 1 4
      - i 11D 1
        Solution i
      - ii 11D 1
        Solution ii
    - 12E Paper 1 1
      - Solution 12E
  - Paper 2 ia 32
    - 1B Paper 2 1
      - Solution 1B
    - 2B Paper 2 1
      - Solution 2B
    - 3F Paper 2 4
      - a 3F 1
        Solution a
      - b 3F 1
        Solution b
    - 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 6
      - i 8B 1
        Solution i
      - ii 8B 1
        Solution ii
      - iii 8B 1
        Solution iii
    - 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 79
    - 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 4
      - i 3A 1
        Solution i
      - ii 3A 1
        Solution ii
    - 4A Paper 3 6
      - a 4A 1
        Solution a
      - b 4A 1
        Solution b
      - c 4A 1
        Solution c
    - 5D Paper 3 4
      - a 5D 1
        Solution a
      - b 5D 1
        Solution b
    - 6D Paper 3 8
      - a 6D 1
        Solution a
      - b 6D 1
        Solution b
      - c 6D 1
        Solution c
      - d 6D 1
        Solution d
    - 7D Paper 3 9
      - a 7D 1
        Solution a
      - b 7D 6
        i b 1
        Solution i
        ii b 1
        Solution ii
        iii b 1
        Solution iii
    - 8D Paper 3 6
      - a 8D 1
        Solution a
      - b 8D 1
        Solution b
      - c 8D 1
        Solution c
    - 9A Paper 3 1
      - Solution 9A
    - 10A Paper 3 1
      - Solution 10A
    - 11A Paper 3 8
      - i 11A 1
        Solution i
      - ii 11A 1
        Solution ii
      - iii 11A 1
        Solution iii
      - iv 11A 1
        Solution iv
    - 12A Paper 3 13
      - a 12A 1
        Solution a
      - b 12A 1
        Solution b
      - c 12A 8
        i c 1
        Solution i
        ii c 1
        Solution ii
        iii c 1
        Solution iii
        iv c 1
        Solution iv
  - Paper 4 ia 41
    - 1E Paper 4 4
      - a 1E 1
        Solution a
      - b 1E 1
        Solution b
    - 2E Paper 4 1
      - Solution 2E
    - 3C Paper 4 1
      - Solution 3C
    - 4C Paper 4 1
      - Solution 4C
    - 5E Paper 4 4
      - i 5E 1
        Solution i
      - ii 5E 1
        Solution ii
    - 6E Paper 4 6
      - i 6E 1
        Solution i
      - ii 6E 1
        Solution ii
      - iii 6E 1
        Solution iii
    - 7E Paper 4 1
      - Solution 7E
    - 8E Paper 4 7
      - a 8E 1
        Solution a
      - b 8E 4
        i b 1
        Solution i
        ii b 1
        Solution ii
    - 9C Paper 4 1
      - Solution 9C
    - 10C Paper 4 1
      - Solution 10C
    - 11C Paper 4 1
      - Solution 11C
    - 12C Paper 4 1
      - Solution 12C
- ii 2015 673
  - Paper 1 ii 166
    - 1H Paper 1 1
      - Solution 1H
    - 2I Paper 1 8
      - i 2I 1
        Solution i
      - ii 2I 1
        Solution ii
      - iii 2I 1
        Solution iii
      - iv 2I 1
        Solution iv
    - 3G Paper 1 1
      - Solution 3G
    - 4J Paper 1 1
      - Solution 4J
    - 5E Paper 1 1
      - Solution 5E
    - 6B Paper 1 1
      - Solution 6B
    - 7D Paper 1 7
      - a 7D 1
        Solution a
      - b 7D 4
        i b 1
        Solution i
        ii b 1
        Solution ii
    - 8C Paper 1 1
      - Solution 8C
    - 9G Paper 1 4
      - a 9G 1
        Solution a
      - b 9G 1
        Solution b
    - 10J Paper 1 1
      - Solution 10J
    - 11B Paper 1 1
      - Solution 11B
    - 12C Paper 1 1
      - Solution 12C
    - 13I Paper 1 1
      - Solution 13I
    - 14I Paper 1 6
      - a 14I 1
        Solution a
      - b 14I 1
        Solution b
      - c 14I 1
        Solution c
    - 15F Paper 1 9
      - a 15F 1
        Solution a
      - b 15F 6
        i b 1
        Solution i
        ii b 1
        Solution ii
        iii b 1
        Solution iii
    - 16H Paper 1 4
      - a 16H 1
        Solution a
      - b 16H 1
        Solution b
    - 17F Paper 1 6
      - i 17F 1
        Solution i
      - ii 17F 1
        Solution ii
      - iii 17F 1
        Solution iii
    - 18H Paper 1 1
      - Solution 18H
    - 19G Paper 1 4
      - a 19G 1
        Solution a
      - b 19G 1
        Solution b
    - 20F Paper 1 1
      - Solution 20F
    - 21F Paper 1 6
      - i 21F 1
        Solution i
      - ii 21F 1
        Solution ii
      - iii 21F 1
        Solution iii
    - 22G Paper 1 1
      - Solution 22G
    - 23J Paper 1 8
      - a 23J 1
        Solution a
      - b 23J 1
        Solution b
      - c 23J 1
        Solution c
      - d 23J 1
        Solution d
    - 24K Paper 1 4
      - a 24K 1
        Solution a
      - b 24K 1
        Solution b
    - 25J Paper 1 1
      - Solution 25J
    - 26K Paper 1 6
      - i 26K 1
        Solution i
      - ii 26K 1
        Solution ii
      - iii 26K 1
        Solution iii
    - 27C Paper 1 4
      - a 27C 1
        Solution a
      - b 27C 1
        Solution b
    - 28B Paper 1 4
      - a 28B 1
        Solution a
      - b 28B 1
        Solution b
    - 29D Paper 1 1
      - Solution 29D
    - 30E Paper 1 4
      - a 30E 1
        Solution a
      - b 30E 1
        Solution b
    - 31A Paper 1 1
      - Solution 31A
    - 32A Paper 1 1
      - Solution 32A
    - 33C Paper 1 6
      - a 33C 1
        Solution a
      - b 33C 1
        Solution b
      - c 33C 1
        Solution c
    - 34A Paper 1 4
      - i 34A 1
        Solution i
      - ii 34A 1
        Solution ii
    - 35D Paper 1 6
      - a 35D 1
        Solution a
      - b 35D 1
        Solution b
      - c 35D 1
        Solution c
    - 36E Paper 1 6
      - i 36E 1
        Solution i
      - ii 36E 1
        Solution ii
      - iii 36E 1
        Solution iii
    - 37B Paper 1 1
      - Solution 37B
    - 38E Paper 1 4
      - a 38E 1
        Solution a
      - b 38E 1
        Solution b
  - Paper 2 ii 186
    - 1H Paper 2 1
      - Solution 1H
    - 2I Paper 2 6
      - i 2I 1
        Solution i
      - ii 2I 1
        Solution ii
      - iii 2I 1
        Solution iii
    - 3G Paper 2 1
      - Solution 3G
    - 4J Paper 2 1
      - Solution 4J
    - 5E Paper 2 1
      - Solution 5E
    - 6B Paper 2 1
      - Solution 6B
    - 7D Paper 2 6
      - a 7D 1
        Solution a
      - b 7D 1
        Solution b
      - c 7D 1
        Solution c
    - 8C Paper 2 1
      - Solution 8C
    - 9I Paper 2 1
      - Solution 9I
    - 10G Paper 2 1
      - Solution 10G
    - 11B Paper 2 1
      - Solution 11B
    - 12C Paper 2 4
      - a 12C 1
        Solution a
      - b 12C 1
        Solution b
    - 13I Paper 2 11
      - a 13I 1
        Solution a
      - b 13I 8
        i b 1
        Solution i
        ii b 1
        Solution ii
        iii b 1
        Solution iii
        iv b 1
        Solution iv
    - 14I Paper 2 6
      - a 14I 1
        Solution a
      - b 14I 1
        Solution b
      - c 14I 1
        Solution c
    - 15F Paper 2 4
      - i 15F 1
        Solution i
      - ii 15F 1
        Solution ii
    - 16H Paper 2 4
      - i 16H 1
        Solution i
      - ii 16H 1
        Solution ii
    - 17F Paper 2 6
      - i 17F 1
        Solution i
      - ii 17F 1
        Solution ii
      - iii 17F 1
        Solution iii
    - 18H Paper 2 1
      - Solution 18H
    - 19G Paper 2 11
      - a 19G 1
        Solution a
      - b 19G 8
        i b 1
        Solution i
        ii b 1
        Solution ii
        iii b 1
        Solution iii
        iv b 1
        Solution iv
    - 20F Paper 2 4
      - i 20F 1
        Solution i
      - ii 20F 1
        Solution ii
    - 21F Paper 2 8
      - i 21F 1
        Solution i
      - ii 21F 1
        Solution ii
      - iii 21F 1
        Solution iii
      - iv 21F 1
        Solution iv
    - 22G Paper 2 1
      - Solution 22G
    - 23J Paper 2 11
      - a 23J 1
        Solution a
      - b 23J 1
        Solution b
      - c 23J 6
        i c 1
        Solution i
        ii c 1
        Solution ii
        iii c 1
        Solution iii
    - 24K Paper 2 4
      - i 24K 1
        Solution i
      - ii 24K 1
        Solution ii
    - 25J Paper 2 6
      - i 25J 1
        Solution i
      - ii 25J 1
        Solution ii
      - iii 25J 1
        Solution iii
    - 26K Paper 2 1
      - Solution 26K
    - 27K Paper 2 6
      - i 27K 1
        Solution i
      - ii 27K 1
        Solution ii
      - iii 27K 1
        Solution iii
    - 28B Paper 2 4
      - a 28B 1
        Solution a
      - b 28B 1
        Solution b
    - 29D Paper 2 6
      - a 29D 1
        Solution a
      - b 29D 1
        Solution b
      - c 29D 1
        Solution c
    - 30E Paper 2 1
      - Solution 30E
    - 31A Paper 2 1
      - Solution 31A
    - 32A Paper 2 1
      - Solution 32A
    - 33C Paper 2 8
      - a 33C 1
        Solution a
      - b 33C 1
        Solution b
      - c 33C 1
        Solution c
      - d 33C 1
        Solution d
    - 34D Paper 2 6
      - a 34D 1
        Solution a
      - b 34D 1
        Solution b
      - c 34D 1
        Solution c
    - 35E Paper 2 8
      - i 35E 1
        Solution i
      - ii 35E 1
        Solution ii
      - iii 35E 1
        Solution iii
      - iv 35E 1
        Solution iv
    - 36B Paper 2 1
      - Solution 36B
    - 37E Paper 2 4
      - a 37E 1
        Solution a
      - b 37E 1
        Solution b
  - Paper 3 ii 155
    - 1H Paper 3 1
      - Solution 1H
    - 2I Paper 3 1
      - Solution 2I
    - 3G Paper 3 1
      - Solution 3G
    - 4J Paper 3 1
      - Solution 4J
    - 5E Paper 3 1
      - Solution 5E
    - 6B Paper 3 1
      - Solution 6B
    - 7D Paper 3 4
      - a 7D 1
        Solution a
      - b 7D 1
        Solution b
    - 8C Paper 3 1
      - Solution 8C
    - 9H Paper 3 1
      - Solution 9H
    - 10I Paper 3 4
      - i 10I 1
        Solution i
      - ii 10I 1
        Solution ii
    - 11E Paper 3 8
      - a 11E 1
        Solution a
      - b 11E 1
        Solution b
      - c 11E 1
        Solution c
      - d 11E 1
        Solution d
    - 12C Paper 3 1
      - Solution 12C
    - 13I Paper 3 4
      - i 13I 1
        Solution i
      - ii 13I 1
        Solution ii
    - 14I Paper 3 6
      - a 14I 1
        Solution a
      - b 14I 1
        Solution b
      - c 14I 1
        Solution c
    - 15F Paper 3 9
      - a 15F 1
        Solution a
      - b 15F 6
        i b 1
        Solution i
        ii b 1
        Solution ii
        iii b 1
        Solution iii
    - 16F Paper 3 6
      - i 16F 1
        Solution i
      - ii 16F 1
        Solution ii
      - iii 16F 1
        Solution iii
    - 17H Paper 3 1
      - Solution 17H
    - 18G Paper 3 1
      - Solution 18G
    - 19F Paper 3 1
      - Solution 19F
    - 20F Paper 3 6
      - i 20F 1
        Solution i
      - ii 20F 1
        Solution ii
      - iii 20F 1
        Solution iii
    - 21G Paper 3 1
      - Solution 21G
    - 22J Paper 3 6
      - a 22J 1
        Solution a
      - b 22J 1
        Solution b
      - c 22J 1
        Solution c
    - 23K Paper 3 4
      - i 23K 1
        Solution i
      - ii 23K 1
        Solution ii
    - 24J Paper 3 1
      - Solution 24J
    - 25K Paper 3 1
      - Solution 25K
    - 26K Paper 3 1
      - Solution 26K
    - 27C Paper 3 1
      - Solution 27C
    - 28B Paper 3 1
      - Solution 28B
    - 29D Paper 3 1
      - Solution 29D
    - 30E Paper 3 4
      - a 30E 1
        Solution a
      - b 30E 1
        Solution b
    - 31A Paper 3 1
      - Solution 31A
    - 32A Paper 3 1
      - Solution 32A
    - 33C Paper 3 12
      - a 33C 4
        i a 1
        Solution i
        ii a 1
        Solution ii
      - b 33C 6
        i b 1
        Solution i
        ii b 1
        Solution ii
        iii b 1
        Solution iii
    - 34A Paper 3 4
      - i 34A 1
        Solution i
      - ii 34A 1
        Solution ii
    - 35D Paper 3 8
      - a 35D 1
        Solution a
      - b 35D 1
        Solution b
      - c 35D 1
        Solution c
      - d 35D 1
        Solution d
    - 36E Paper 3 6
      - i 36E 1
        Solution i
      - ii 36E 1
        Solution ii
      - iii 36E 1
        Solution iii
    - 37B Paper 3 1
      - Solution 37B
    - 38E Paper 3 4
      - a 38E 1
        Solution a
      - b 38E 1
        Solution b
  - Paper 4 ii 162
    - 1H Paper 4 1
      - Solution 1H
    - 2I Paper 4 1
      - Solution 2I
    - 3G Paper 4 1
      - Solution 3G
    - 4J Paper 4 1
      - Solution 4J
    - 5E Paper 4 4
      - i 5E 1
        Solution i
      - ii 5E 1
        Solution ii
    - 6B Paper 4 1
      - Solution 6B
    - 7D Paper 4 4
      - a 7D 1
        Solution a
      - b 7D 1
        Solution b
    - 8C Paper 4 1
      - Solution 8C
    - 9H Paper 4 8
      - i 9H 1
        Solution i
      - ii 9H 1
        Solution ii
      - iii 9H 1
        Solution iii
      - iv 9H 1
        Solution iv
    - 10J Paper 4 1
      - Solution 10J
    - 11E Paper 4 8
      - a 11E 1
        Solution a
      - b 11E 1
        Solution b
      - c 11E 1
        Solution c
      - d 11E 1
        Solution d
    - 12C Paper 4 9
      - a 12C 1
        Solution a
      - b 12C 1
        Solution b
      - c 12C 4
        i c 1
        Solution i
        ii c 1
        Solution ii
    - 13I Paper 4 6
      - i 13I 1
        Solution i
      - ii 13I 1
        Solution ii
      - iii 13I 1
        Solution iii
    - 14I Paper 4 1
      - Solution 14I
    - 15F Paper 4 9
      - a 15F 1
        Solution a
      - b 15F 6
        i b 1
        Solution i
        ii b 1
        Solution ii
        iii b 1
        Solution iii
    - 16H Paper 4 1
      - Solution 16H
    - 17F Paper 4 6
      - i 17F 1
        Solution i
      - ii 17F 1
        Solution ii
      - iii 17F 1
        Solution iii
    - 18H Paper 4 1
      - Solution 18H
    - 19G Paper 4 1
      - Solution 19G
    - 20F Paper 4 6
      - i 20F 1
        Solution i
      - ii 20F 1
        Solution ii
      - iii 20F 1
        Solution iii
    - 21G Paper 4 1
      - Solution 21G
    - 22J Paper 4 6
      - a 22J 1
        Solution a
      - b 22J 1
        Solution b
      - c 22J 1
        Solution c
    - 23K Paper 4 4
      - i 23K 1
        Solution i
      - ii 23K 1
        Solution ii
    - 24J Paper 4 1
      - Solution 24J
    - 25K Paper 4 1
      - Solution 25K
    - 26K Paper 4 4
      - i 26K 1
        Solution i
      - ii 26K 1
        Solution ii
    - 27C Paper 4 1
      - Solution 27C
    - 28B Paper 4 1
      - Solution 28B
    - 29E Paper 4 4
      - a 29E 1
        Solution a
      - b 29E 1
        Solution b
    - 30A Paper 4 1
      - Solution 30A
    - 31A Paper 4 1
      - Solution 31A
    - 32C Paper 4 8
      - i 32C 1
        Solution i
      - ii 32C 1
        Solution ii
      - iii 32C 1
        Solution iii
      - iv 32C 1
        Solution iv
    - 33A Paper 4 1
      - Solution 33A
    - 34D Paper 4 8
      - a 34D 1
        Solution a
      - b 34D 1
        Solution b
      - c 34D 1
        Solution c
      - d 34D 1
        Solution d
    - 35E Paper 4 1
      - Solution 35E
    - 36B Paper 4 4
      - i 36B 1
        Solution i
      - ii 36B 1
        Solution ii
    - 37E Paper 4 7
      - a 37E 4
        i a 1
        Solution i
        ii a 1
        Solution ii
      - b 37E 1
        Solution b

 Ancestors (6)