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Past exam of the mathematics course of the University of Cambridge / 2020 / ii

Table of contents 1k
- Paper 1 ii 266
  - 1H Paper 1 1
    - Solution 1H
  - 2H Paper 1 6
    - i 2H 1
      - Solution i
    - ii 2H 1
      - Solution ii
    - iii 2H 1
      - Solution iii
  - 3I Paper 1 9
    - a 3I 1
      - Solution a
    - b 3I 6
      - i b 1
      - ii b 1
      - iii b 1
  - 4F Paper 1 1
    - Solution 4F
  - 5J Paper 1 8
    - a 5J 1
      - Solution a
    - b 5J 1
      - Solution b
    - n 5J 1
      - Solution n
    - c 5J 1
      - Solution c
  - 6B Paper 1 6
    - i 6B 1
      - Solution i
    - ii 6B 1
      - Solution ii
    - iii 6B 1
      - Solution iii
  - 7E Paper 1 4
    - i 7E 1
      - Solution i
    - ii 7E 1
      - Solution ii
  - 8B Paper 1 1
    - Solution 8B
  - 9D Paper 1 1
    - Solution 9D
  - 10C Paper 1 10
    - i 10C 1
      - Solution i
    - ii 10C 1
      - Solution ii
    - iii 10C 1
      - Solution iii
    - iv 10C 1
      - Solution iv
    - v 10C 1
      - Solution v
  - 11I Paper 1 14
    - a 11I 6
      - i a 1
      - ii a 1
      - iii a 1
    - b 11I 6
      - ii b 1
      - iii b 1
      - iv b 1
  - 12F Paper 1 7
    - a 12F 1
      - Solution a
    - b 12F 1
      - Solution b
    - c 12F 2
      - ii c 1
  - 13J Paper 1 8
    - i 13J 1
      - Solution i
    - ii 13J 1
      - Solution ii
    - iii 13J 1
      - Solution iii
    - iv 13J 1
      - Solution iv
  - 14E Paper 1 6
    - i 14E 1
      - Solution i
    - ii 14E 1
      - Solution ii
    - iii 14E 1
      - Solution iii
  - 15D Paper 1 1
    - Solution 15D
  - 16H Paper 1 6
    - i 16H 1
      - Solution i
    - ii 16H 1
      - Solution ii
    - iii 16H 1
      - Solution iii
  - 17G Paper 1 4
    - a 17G 1
      - Solution a
    - b 17G 1
      - Solution b
  - 18G Paper 1 11
    - a 18G 1
      - Solution a
    - b 18G 8
      - i b 1
      - ii b 1
      - iii b 1
      - iv b 1
  - 19F Paper 1 1
    - Solution 19F
  - 20G Paper 1 1
    - Solution 20G
  - 21F Paper 1 6
    - a 21F 1
      - Solution a
    - b 21F 1
      - Solution b
    - c 21F 1
      - Solution c
  - 22I Paper 1 9
    - a 22I 1
      - Solution a
    - b 22I 4
      - i b 1
      - ii b 1
    - n 22I 1
      - Solution n
  - 23I Paper 1 7
    - a 23I 1
      - Solution a
    - b 23I 4
      - i b 1
      - ii b 1
  - 24F Paper 1 1
    - Solution 24F
  - 25F Paper 1 1
    - Solution 25F
  - 26I Paper 1 11
    - a 26I 1
      - Solution a
    - b 26I 1
      - Solution b
    - c 26I 6
      - i c 1
      - ii c 1
      - iii c 1
  - 27K Paper 1 8
    - a 27K 1
      - Solution a
    - b 27K 1
      - Solution b
    - c 27K 1
      - Solution c
    - d 27K 1
      - Solution d
  - 28K Paper 1 6
    - a 28K 1
      - Solution a
    - b 28K 1
      - Solution b
    - c 28K 1
      - Solution c
  - 29J Paper 1 1
    - Solution 29J
  - 30K Paper 1 4
    - a 30K 1
      - Solution a
    - b 30K 1
      - Solution b
  - 31J Paper 1 6
    - a 31J 1
      - Solution a
    - b 31J 1
      - Solution b
    - c 31J 1
      - Solution c
  - 32E Paper 1 6
    - i 32E 1
      - Solution i
    - ii 32E 1
      - Solution ii
    - iii 32E 1
      - Solution iii
  - 33C Paper 1 11
    - a 33C 1
      - Solution a
    - b 33C 8
      - i b 1
      - ii b 1
      - iii b 1
      - iv b 1
  - 34A Paper 1 1
    - Solution 34A
  - 35C Paper 1 1
    - Solution 35C
  - 36A Paper 1 1
    - Solution 36A
  - 37D Paper 1 8
    - i 37D 1
      - Solution i
    - ii 37D 1
      - Solution ii
    - iii 37D 1
      - Solution iii
    - iv 37D 1
      - Solution iv
  - 38D Paper 1 10
    - i 38D 1
      - Solution i
    - ii 38D 1
      - Solution ii
    - iii 38D 1
      - Solution iii
    - iv 38D 1
      - Solution iv
    - v 38D 1
      - Solution v
  - 39B Paper 1 8
    - i 39B 1
      - Solution i
    - ii 39B 1
      - Solution ii
    - iii 39B 1
      - Solution iii
    - iv 39B 1
      - Solution iv
  - 40B Paper 1 9
    - a 40B 1
      - Solution a
    - b 40B 6
      - i b 1
      - ii b 1
      - iii b 1
  - 41E Paper 1 4
    - a 41E 1
      - Solution a
    - b 41E 1
      - Solution b
- Paper 2 ii 258
  - 1H Paper 2 1
    - Solution 1H
  - 2H Paper 2 1
    - Solution 2H
  - 3I Paper 2 7
    - a 3I 1
      - Solution a
    - b 3I 4
      - i b 1
      - ii b 1
  - 4F Paper 2 4
    - i 4F 1
      - Solution i
    - ii 4F 1
      - Solution ii
  - 5J Paper 2 6
    - a 5J 1
      - Solution a
    - b 5J 1
      - Solution b
    - c 5J 1
      - Solution c
  - 6B Paper 2 6
    - i 6B 1
      - Solution i
    - ii 6B 1
      - Solution ii
    - iii 6B 1
      - Solution iii
  - 7E Paper 2 1
    - Solution 7E
  - 8B Paper 2 1
    - Solution 8B
  - 9D Paper 2 4
    - i 9D 1
      - Solution i
    - ii 9D 1
      - Solution ii
  - 10C Paper 2 6
    - i 10C 1
      - Solution i
    - ii 10C 1
      - Solution ii
    - iii 10C 1
      - Solution iii
  - 11H Paper 2 1
    - Solution 11H
  - 12I Paper 2 6
    - i 12I 1
      - Solution i
    - ii 12I 1
      - Solution ii
    - iii 12I 1
      - Solution iii
  - 13E Paper 2 4
    - i 13E 1
      - Solution i
    - ii 13E 1
      - Solution ii
  - 14B Paper 2 8
    - i 14B 1
      - Solution i
    - ii 14B 1
      - Solution ii
    - iii 14B 1
      - Solution iii
    - iv 14B 1
      - Solution iv
  - 15C Paper 2 13
    - a 15C 1
      - Solution a
    - b 15C 1
      - Solution b
    - c 15C 1
      - Solution c
    - d 15C 6
      - i d 1
      - ii d 1
      - iii d 1
  - 16H Paper 2 7
    - a 16H 1
      - Solution a
    - b 16H 4
      - i b 1
      - ii b 1
  - 17G Paper 2 4
    - i 17G 1
      - Solution i
    - ii 17G 1
      - Solution ii
  - 18G Paper 2 9
    - a 18G 1
      - Solution a
    - b 18G 1
      - Solution b
    - c 18G 2
      - i c 1
    - d 18G 1
      - Solution d
  - 19F Paper 2 1
    - Solution 19F
  - 20G Paper 2 9
    - a 20G 1
      - Solution a
    - b 20G 6
      - i b 1
      - ii b 1
      - iii b 1
  - 21F Paper 2 6
    - a 21F 1
      - Solution a
    - b 21F 1
      - Solution b
    - c 21F 1
      - Solution c
  - 22I Paper 2 6
    - a 22I 1
      - Solution a
    - b 22I 1
      - Solution b
    - c 22I 1
      - Solution c
  - 23F Paper 2 1
    - Solution 23F
  - 24F Paper 2 6
    - a 24F 1
      - Solution a
    - b 24F 1
      - Solution b
    - c 24F 1
      - Solution c
  - 25I Paper 2 8
    - a 25I 1
      - Solution a
    - b 25I 1
      - Solution b
    - c 25I 1
      - Solution c
    - d 25I 1
      - Solution d
  - 26K Paper 2 9
    - a 26K 1
      - Solution a
    - b 26K 1
      - Solution b
    - c 26K 4
      - i c 1
      - ii c 1
  - 27K Paper 2 4
    - i 27K 1
      - Solution i
    - ii 27K 1
      - Solution ii
  - 28J Paper 2 1
    - Solution 28J
  - 29K Paper 2 10
    - i 29K 1
      - Solution i
    - ii 29K 1
      - Solution ii
    - iii 29K 1
      - Solution iii
    - iv 29K 1
      - Solution iv
    - v 29K 1
      - Solution v
  - 30J Paper 2 8
    - a 30J 1
      - Solution a
    - b 30J 1
      - Solution b
    - c 30J 1
      - Solution c
    - d 30J 1
      - Solution d
  - 31D Paper 2 10
    - a 31D 4
      - i a 1
      - ii a 1
    - b 31D 4
      - i b 1
      - ii b 1
  - 32E Paper 2 9
    - a 32E 1
      - Solution a
    - b 32E 6
      - i b 1
      - ii b 1
      - iii b 1
  - 33C Paper 2 6
    - i 33C 1
      - Solution i
    - ii 33C 1
      - Solution ii
    - iii 33C 1
      - Solution iii
  - 34A Paper 2 7
    - a 34A 1
      - Solution a
    - b 34A 4
      - i b 1
      - ii b 1
  - 35C Paper 2 1
    - Solution 35C
  - 36A Paper 2 1
    - Solution 36A
  - 37D Paper 2 6
    - i 37D 1
      - Solution i
    - ii 37D 1
      - Solution ii
    - iii 37D 1
      - Solution iii
  - 38B Paper 2 6
    - i 38B 1
      - Solution i
    - ii 38B 1
      - Solution ii
    - iii 38B 1
      - Solution iii
  - 39B Paper 2 6
    - a 39B 1
      - Solution a
    - b 39B 1
      - Solution b
    - c 39B 1
      - Solution c
  - 40E Paper 2 8
    - a 40E 1
      - Solution a
    - b 40E 1
      - Solution b
    - c 40E 1
      - Solution c
    - d 40E 1
      - Solution d
- Paper 3 ii 252
  - 1H Paper 3 1
    - Solution 1H
  - 2H Paper 3 1
    - Solution 2H
  - 3I Paper 3 1
    - Solution 3I
  - 4F Paper 3 4
    - i 4F 1
      - Solution i
    - ii 4F 1
      - Solution ii
  - 5J Paper 3 6
    - a 5J 1
      - Solution a
    - b 5J 1
      - Solution b
    - c 5J 1
      - Solution c
  - 6B Paper 3 6
    - i 6B 1
      - Solution i
    - ii 6B 1
      - Solution ii
    - iii 6B 1
      - Solution iii
  - 7E Paper 3 4
    - i 7E 1
      - Solution i
    - ii 7E 1
      - Solution ii
  - 8B Paper 3 1
    - Solution 8B
  - 9D Paper 3 1
    - Solution 9D
  - 10C Paper 3 8
    - i 10C 1
      - Solution i
    - ii 10C 1
      - Solution ii
    - iii 10C 1
      - Solution iii
    - iv 10C 1
      - Solution iv
  - 11H Paper 3 6
    - i 11H 1
      - Solution i
    - ii 11H 1
      - Solution ii
    - iii 11H 1
      - Solution iii
  - 12F Paper 3 1
    - Solution 12F
  - 13B Paper 3 6
    - i 13B 1
      - Solution i
    - ii 13B 1
      - Solution ii
    - iii 13B 1
      - Solution iii
  - 14D Paper 3 6
    - i 14D 1
      - Solution i
    - ii 14D 1
      - Solution ii
    - iii 14D 1
      - Solution iii
  - 15C Paper 3 11
    - a 15C 1
      - Solution a
    - b 15C 8
      - i b 1
      - ii b 1
      - iii b 1
      - iv b 1
  - 16H Paper 3 1
    - Solution 16H
  - 17G Paper 3 8
    - i 17G 1
      - Solution i
    - ii 17G 1
      - Solution ii
    - iii 17G 1
      - Solution iii
    - iv 17G 1
      - Solution iv
  - 18G Paper 3 4
    - a 18G 1
      - Solution a
    - b 18G 1
      - Solution b
  - 19F Paper 3 1
    - Solution 19F
  - 20F Paper 3 6
    - a 20F 1
      - Solution a
    - b 20F 1
      - Solution b
    - c 20F 1
      - Solution c
  - 21I Paper 3 8
    - a 21I 1
      - Solution a
    - b 21I 1
      - Solution b
    - c 21I 1
      - Solution c
    - d 21I 1
      - Solution d
  - 22I Paper 3 7
    - a 22I 1
      - Solution a
    - b 22I 2
      - iii b 1
    - c 22I 1
      - Solution c
  - 23F Paper 3 1
    - Solution 23F
  - 24F Paper 3 8
    - i 24F 1
      - Solution i
    - ii 24F 1
      - Solution ii
    - iii 24F 1
      - Solution iii
    - iv 24F 1
      - Solution iv
  - 25I Paper 3 8
    - a 25I 1
      - Solution a
    - b 25I 1
      - Solution b
    - c 25I 1
      - Solution c
    - d 25I 1
      - Solution d
  - 26K Paper 3 11
    - a 26K 1
      - Solution a
    - b 26K 1
      - Solution b
    - c 26K 6
      - i c 1
      - ii c 1
      - iii c 1
  - 27K Paper 3 1
    - Solution 27K
  - 28J Paper 3 4
    - i 28J 1
      - Solution i
    - ii 28J 1
      - Solution ii
  - 29K Paper 3 12
    - a 29K 4
      - i a 1
      - ii a 1
    - b 29K 6
      - i b 1
      - ii b 1
      - iii b 1
  - 30D Paper 3 4
    - a 30D 1
      - Solution a
    - b 30D 1
      - Solution b
  - 31E Paper 3 11
    - a 31E 1
      - Solution a
    - b 31E 8
      - i b 1
      - ii b 1
      - iii b 1
      - iv b 1
  - 32C Paper 3 4
    - a 32C 1
      - Solution a
    - b 32C 1
      - Solution b
  - 33A Paper 3 1
    - Solution 33A
  - 34C Paper 3 7
    - a 34C 1
      - Solution a
    - b 34C 4
      - i b 1
      - ii b 1
  - 35A Paper 3 6
    - i 35A 1
      - Solution i
    - ii 35A 1
      - Solution ii
    - iii 35A 1
      - Solution iii
  - 36D Paper 3 4
    - i 36D 1
      - Solution i
    - ii 36D 1
      - Solution ii
  - 37D Paper 3 9
    - a 37D 1
      - Solution a
    - b 37D 6
      - i b 1
      - ii b 1
      - iii b 1
  - 38B Paper 3 11
    - a 38B 1
      - Solution a
    - b 38B 8
      - i b 1
      - ii b 1
      - iii b 1
      - iv b 1
  - 39B Paper 3 6
    - i 39B 1
      - Solution i
    - ii 39B 1
      - Solution ii
    - iii 39B 1
      - Solution iii
  - 40E Paper 3 6
    - a 40E 1
      - Solution a
    - b 40E 1
      - Solution b
    - c 40E 1
      - Solution c
- Paper 4 ii 277
  - 1H Paper 4 1
    - Solution 1H
  - 2H Paper 4 1
    - Solution 2H
  - 3I Paper 4 4
    - a 3I 1
      - Solution a
    - b 3I 1
      - Solution b
  - 4F Paper 4 1
    - Solution 4F
  - 5J Paper 4 9
    - a 5J 6
      - i a 1
      - ii a 1
      - iii a 1
    - b 5J 1
      - Solution b
  - 6B Paper 4 6
    - i 6B 1
      - Solution i
    - ii 6B 1
      - Solution ii
    - iii 6B 1
      - Solution iii
  - 7E Paper 4 1
    - Solution 7E
  - 8B Paper 4 1
    - Solution 8B
  - 9D Paper 4 1
    - Solution 9D
  - 10C Paper 4 8
    - i 10C 1
      - Solution i
    - ii 10C 1
      - Solution ii
    - iii 10C 1
      - Solution iii
    - iv 10C 1
      - Solution iv
  - 11H Paper 4 8
    - a 11H 1
      - Solution a
    - b 11H 1
      - Solution b
    - c 11H 1
      - Solution c
    - d 11H 1
      - Solution d
  - 12H Paper 4 9
    - a 12H 1
      - Solution a
    - b 12H 6
      - i b 1
      - ii b 1
      - iii b 1
  - 13J Paper 4 9
    - a 13J 1
      - Solution a
    - b 13J 6
      - i b 1
      - ii b 1
      - iii b 1
  - 14B Paper 4 8
    - i 14B 1
      - Solution i
    - ii 14B 1
      - Solution ii
    - iii 14B 1
      - Solution iii
    - iv 14B 1
      - Solution iv
  - 15B Paper 4 7
    - a 15B 1
      - Solution a
    - b 15B 1
      - Solution b
    - c 15B 2
      - i c 1
  - 16H Paper 4 11
    - a 16H 1
      - Solution a
    - b 16H 1
      - Solution b
    - c 16H 6
      - i c 1
      - ii c 1
      - iii c 1
  - 17G Paper 4 1
    - Solution 17G
  - 18G Paper 4 4
    - a 18G 1
      - Solution a
    - b 18G 1
      - Solution b
  - 19F Paper 4 4
    - a 19F 1
      - Solution a
    - b 19F 1
      - Solution b
  - 20G Paper 4 1
    - Solution 20G
  - 21F Paper 4 7
    - a 21F 2
      - ii a 1
    - b 21F 1
      - Solution b
    - c 21F 1
      - Solution c
  - 22I Paper 4 9
    - a 22I 1
      - Solution a
    - b 22I 1
      - Solution b
    - c 22I 4
      - i c 1
      - ii c 1
  - 23I Paper 4 6
    - a 23I 1
      - Solution a
    - b 23I 1
      - Solution b
    - c 23I 1
      - Solution c
  - 24F Paper 4 1
    - Solution 24F
  - 25I Paper 4 11
    - a 25I 1
      - Solution a
    - b 25I 1
      - Solution b
    - c 25I 1
      - Solution c
    - d 25I 4
      - i d 1
      - ii d 1
  - 26K Paper 4 9
    - a 26K 1
      - Solution a
    - b 26K 6
      - i b 1
      - ii b 1
      - iii b 1
  - 27K Paper 4 6
    - i 27K 1
      - Solution i
    - ii 27K 1
      - Solution ii
    - iii 27K 1
      - Solution iii
  - 28J Paper 4 1
    - Solution 28J
  - 29K Paper 4 10
    - i 29K 1
      - Solution i
    - ii 29K 1
      - Solution ii
    - iii 29K 1
      - Solution iii
    - iv 29K 1
      - Solution iv
    - v 29K 1
      - Solution v
  - 30J Paper 4 8
    - i 30J 1
      - Solution i
    - ii 30J 1
      - Solution ii
    - iii 30J 1
      - Solution iii
    - iv 30J 1
      - Solution iv
  - 31A Paper 4 8
    - i 31A 1
      - Solution i
    - ii 31A 1
      - Solution ii
    - iii 31A 1
      - Solution iii
    - iv 31A 1
      - Solution iv
  - 32E Paper 4 12
    - a 32E 2
      - i a 1
    - b 32E 8
      - i b 1
      - ii b 1
      - iii b 1
      - iv b 1
  - 33A Paper 4 1
    - Solution 33A
  - 34C Paper 4 9
    - a 34C 1
      - Solution a
    - b 34C 6
      - i b 1
      - ii b 1
      - iii b 1
  - 35A Paper 4 6
    - i 35A 1
      - Solution i
    - ii 35A 1
      - Solution ii
    - iii 35A 1
      - Solution iii
  - 36D Paper 4 11
    - a 36D 1
      - Solution a
    - b 36D 8
      - i b 1
      - ii b 1
      - iii b 1
      - iv b 1
  - 37D Paper 4 8
    - i 37D 1
      - Solution i
    - ii 37D 1
      - Solution ii
    - iii 37D 1
      - Solution iii
    - iv 37D 1
      - Solution iv
  - 38B Paper 4 6
    - i 38B 1
      - Solution i
    - ii 38B 1
      - Solution ii
    - iii 38B 1
      - Solution iii
  - 39B Paper 4 7
    - a 39B 1
      - Solution a
    - b 39B 4
      - i b 1
      - ii b 1
  - 40E Paper 4 6
    - a 40E 1
      - Solution a
    - b 40E 1
      - Solution b
    - c 40E 1
      - Solution c

Paper 1

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Paper 2

Articles: 258

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Paper 3

Articles: 252

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Paper 4

Articles: 277

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