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Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 2

www.maths.cam.ac.uk/undergrad/pastpapers/files/2025/paperii_2_2025.pdf

Table of contents 13k 369
- 1G Paper 2 83 6
  - a 1G 21 1
    - Solution a 21
  - b 1G 20 1
    - Solution b 20
  - c 1G 42 1
    - Solution c 42
- 2I Paper 2 128 1
  - Solution 2I 128
- 3K Paper 2 103 1
  - Solution 3K 103
- 4F Paper 2 364 11
  - a 4F 55 1
    - Solution a 55
  - b 4F 309 8
    - i b 97 1
      - Solution i 97
    - ii b 42 1
      - Solution ii 42
    - iii b 122 1
      - Solution iii 122
    - iv b 48 1
      - Solution iv 48
- 5K Paper 2 213 5
  - Solution 5K 89
  - 1 5K 64 1
    - Solution 1 64
  - 2 5K 60 1
    - Solution 2 60
- 6A Paper 2 232 8
  - a 6A 70 1
    - Solution a 70
  - b 6A 63 1
    - Solution b 63
  - c 6A 24 1
    - Solution c 24
  - d 6A 75 1
    - Solution d 75
- 7E Paper 2 215 6
  - a 7E 80 1
    - Solution a 80
  - b 7E 92 1
    - Solution b 92
  - c 7E 43 1
    - Solution c 43
- 8B Paper 2 207 4
  - a 8B 95 1
    - Solution a 95
  - b 8B 112 1
    - Solution b 112
- 9E Paper 2 281 8
  - a 9E 48 1
    - Solution a 48
  - b 9E 67 1
    - Solution b 67
  - c 9E 47 1
    - Solution c 47
  - d 9E 119 1
    - Solution d 119
- 10C Paper 2 179 8
  - a 10C 38 1
    - Solution a 38
  - b 10C 68 1
    - Solution b 68
  - c 10C 26 1
    - Solution c 26
  - d 10C 47 1
    - Solution d 47
- 11I Paper 2 320 6
  - a 11I 158 1
    - Solution a 158
  - b 11I 77 1
    - Solution b 77
  - c 11I 85 1
    - Solution c 85
- 12K Paper 2 247 1
  - Solution 12K 247
- 13E Paper 2 277 8
  - a 13E 25 1
    - Solution a 25
  - b 13E 104 1
    - Solution b 104
  - c 13E 94 1
    - Solution c 94
  - d 13E 54 1
    - Solution d 54
- 14B Paper 2 202 6
  - a 14B 39 1
    - Solution a 39
  - b 14B 77 1
    - Solution b 77
  - c 14B 86 1
    - Solution c 86
- 15C Paper 2 394 15
  - a 15C 35 1
    - Solution a 35
  - b 15C 64 1
    - Solution b 64
  - c 15C 81 1
    - Solution c 81
  - d 15C 214 8
    - i d 25 1
      - Solution i 25
    - ii d 67 1
      - Solution ii 67
    - iii d 58 1
      - Solution iii 58
    - iv d 64 1
      - Solution iv 64
- 16H Paper 2 808 24
  - a 16H 113 8
    - i a 27 1
      - Solution i 27
    - ii a 26 1
      - Solution ii 26
    - iii a 18 1
      - Solution iii 18
    - iv a 42 1
      - Solution iv 42
  - b 16H 66 1
    - Solution b 66
  - c 16H 104 1
    - Solution c 104
  - d 16H 132 1
    - Solution d 132
  - e 16H 172 6
    - i e 80 1
      - Solution i 80
    - ii e 57 1
      - Solution ii 57
    - iii e 35 1
      - Solution iii 35
  - f 16H 221 1
    - Solution f 221
- 17F Paper 2 551 10
  - a 17F 424 7
    - Solution a 199
    - i a 82 1
      - Solution i 82
    - ii a 98 1
      - Solution ii 98
    - iii a 45 1
      - Solution iii 45
  - b 17F 127 1
    - Solution b 127
- 18J Paper 2 394 9
  - Solution 18J 49
  - a 18J 143 1
    - Solution a 143
  - b 18J 60 1
    - Solution b 60
  - c 18J 36 1
    - Solution c 36
  - d 18J 106 1
    - Solution d 106
- 19J Paper 2 406 9
  - a 19J 85 1
    - Solution a 85
  - b 19J 167 4
    - i b 101 1
      - Solution i 101
    - ii b 66 1
      - Solution ii 66
  - c 19J 154 1
    - Solution c 154
- 20G Paper 2 380 8
  - a 20G 46 1
    - Solution a 46
  - b 20G 126 1
    - Solution b 126
  - c 20G 48 1
    - Solution c 48
  - d 20G 160 1
    - Solution d 160
- 21F Paper 2 317 5
  - Solution 21F 172
  - a 21F 60 1
    - Solution a 60
  - b 21F 85 1
    - Solution b 85
- 22I Paper 2 296 9
  - a 22I 123 1
    - Solution a 123
  - b 22I 173 6
    - i b 32 1
      - Solution i 32
    - ii b 69 1
      - Solution ii 69
    - iii b 72 1
      - Solution iii 72
- 23H Paper 2 400 6
  - a 23H 191 1
    - Solution a 191
  - b 23H 78 1
    - Solution b 78
  - c 23H 131 1
    - Solution c 131
- 24G Paper 2 446 9
  - Solution 24G 250
  - i 24G 33 1
    - Solution i 33
  - ii 24G 51 1
    - Solution ii 51
  - iii 24G 37 1
    - Solution iii 37
  - iv 24G 75 1
    - Solution iv 75
- 25J Paper 2 381 1
  - Solution 25J 381
- 26I Paper 2 344 9
  - a 26I 111 1
    - Solution a 111
  - b 26I 233 6
    - i b 34 1
      - Solution i 34
    - ii b 116 1
      - Solution ii 116
    - iii b 83 1
      - Solution iii 83
- 27H Paper 2 231 6
  - a 27H 114 1
    - Solution a 114
  - b 27H 38 1
    - Solution b 38
  - c 27H 79 1
    - Solution c 79
- 28L Paper 2 606 16
  - a 28L 202 1
    - Solution a 202
  - b 28L 230 4
    - i b 112 1
      - Solution i 112
    - ii b 118 1
      - Solution ii 118
  - c 28L 174 8
    - i c 71 1
      - Solution i 71
    - ii c 25 1
      - Solution ii 25
    - iii c 31 1
      - Solution iii 31
    - iv c 47 1
      - Solution iv 47
- 29L Paper 2 243 12
  - a 29L 118 6
    - i a 27 1
      - Solution i 27
    - ii a 26 1
      - Solution ii 26
    - iii a 65 1
      - Solution iii 65
  - b 29L 125 4
    - i b 58 1
      - Solution i 58
    - ii b 67 1
      - Solution ii 67
- 30K Paper 2 282 10
  - a 30K 31 1
    - Solution a 31
  - b 30K 59 1
    - Solution b 59
  - c 30K 45 1
    - Solution c 45
  - d 30K 71 1
    - Solution d 71
  - e 30K 76 1
    - Solution e 76
- 31L Paper 2 340 11
  - a 31L 57 1
    - Solution a 57
  - b 31L 124 4
    - i b 44 1
      - Solution i 44
    - ii b 80 1
      - Solution ii 80
  - c 31L 70 1
    - Solution c 70
  - d 31L 89 1
    - Solution d 89
- 32D Paper 2 137 6
  - a 32D 48 1
    - Solution a 48
  - b 32D 34 1
    - Solution b 34
  - c 32D 55 1
    - Solution c 55
- 33A Paper 2 464 9
  - Solution 33A 114
  - a 33A 59 1
    - Solution a 59
  - b 33A 107 1
    - Solution b 107
  - c 33A 57 1
    - Solution c 57
  - d 33A 127 1
    - Solution d 127
- 34D Paper 2 230 7
  - a 34D 97 1
    - Solution a 97
  - b 34D 133 4
    - i b 73 1
      - Solution i 73
    - ii b 60 1
      - Solution ii 60
- 35C Paper 2 273 8
  - a 35C 56 1
    - Solution a 56
  - b 35C 40 1
    - Solution b 40
  - c 35C 77 1
    - Solution c 77
  - d 35C 100 1
    - Solution d 100
- 36B Paper 2 217 6
  - a 36B 41 1
    - Solution a 41
  - b 36B 99 1
    - Solution b 99
  - c 36B 77 1
    - Solution c 77
- 37C Paper 2 178 9
  - a 37C 56 1
    - Solution a 56
  - b 37C 32 1
    - Solution b 32
  - c 37C 90 4
    - i c 54 1
      - Solution i 54
    - ii c 36 1
      - Solution ii 36
- 38E Paper 2 318 8
  - a 38E 54 1
    - Solution a 54
  - b 38E 82 1
    - Solution b 82
  - c 38E 53 1
    - Solution c 53
  - d 38E 129 1
    - Solution d 129
- 39D Paper 2 344 11
  - Solution 39D 134
  - i 39D 28 1
    - Solution i 28
  - ii 39D 42 1
    - Solution ii 42
  - iii 39D 26 1
    - Solution iii 26
  - iv 39D 68 1
    - Solution iv 68
  - v 39D 46 1
    - Solution v 46
- 40A Paper 2 390 8
  - a 40A 42 1
    - Solution a 42
  - b 40A 70 1
    - Solution b 70
  - c 40A 150 1
    - Solution c 150
  - d 40A 128 1
    - Solution d 128
- 41D Paper 2 220 8
  - a 41D 69 1
    - Solution a 69
  - b 41D 46 1
    - Solution b 46
  - c 41D 45 1
    - Solution c 45
  - d 41D 60 1
    - Solution d 60

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