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Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 4

www.maths.cam.ac.uk/undergrad/pastpapers/files/2023/paperii_4_2023.pdf

Table of contents 13k 286
- 1G Paper 4 121 1
  - Solution 1G 121
- 2F Paper 4 295 10
  - i 2F 72 1
    - Solution i 72
  - ii 2F 57 1
    - Solution ii 57
  - iii 2F 25 1
    - Solution iii 25
  - iv 2F 64 1
    - Solution iv 64
  - v 2F 77 1
    - Solution v 77
- 3I Paper 4 278 4
  - a 3I 130 1
    - Solution a 130
  - b 3I 148 1
    - Solution b 148
- 4I Paper 4 354 8
  - i 4I 48 1
    - Solution i 48
  - ii 4I 108 1
    - Solution ii 108
  - iii 4I 70 1
    - Solution iii 70
  - iv 4I 128 1
    - Solution iv 128
- 5J Paper 4 250 6
  - i 5J 31 1
    - Solution i 31
  - ii 5J 42 1
    - Solution ii 42
  - iii 5J 177 1
    - Solution iii 177
- 6C Paper 4 91 1
  - Solution 6C 91
- 7E Paper 4 291 1
  - Solution 7E 291
- 8D Paper 4 120 1
  - Solution 8D 120
- 9B Paper 4 160 1
  - Solution 9B 160
- 10D Paper 4 238 4
  - a 10D 108 1
    - Solution a 108
  - b 10D 130 1
    - Solution b 130
- 11G Paper 4 388 11
  - a 11G 74 1
    - Solution a 74
  - b 11G 99 1
    - Solution b 99
  - c 11G 97 4
    - i c 51 1
      - Solution i 51
    - ii c 46 1
      - Solution ii 46
  - d 11G 118 1
    - Solution d 118
- 12F Paper 4 679 8
  - a 12F 107 1
    - Solution a 107
  - b 12F 87 1
    - Solution b 87
  - c 12F 138 1
    - Solution c 138
  - d 12F 347 1
    - Solution d 347
- 13J Paper 4 391 10
  - i 13J 53 1
    - Solution i 53
  - ii 13J 67 1
    - Solution ii 67
  - iii 13J 77 1
    - Solution iii 77
  - iv 13J 90 1
    - Solution iv 90
  - v 13J 104 1
    - Solution v 104
- 14C Paper 4 391 1
  - Solution 14C 391
- 15D Paper 4 250 1
  - Solution 15D 250
- 16H Paper 4 645 8
  - a 16H 119 1
    - Solution a 119
  - b 16H 151 1
    - Solution b 151
  - c 16H 229 1
    - Solution c 229
  - d 16H 146 1
    - Solution d 146
- 17H Paper 4 517 8
  - a 17H 42 1
    - Solution a 42
  - b 17H 172 1
    - Solution b 172
  - c 17H 95 1
    - Solution c 95
  - d 17H 208 1
    - Solution d 208
- 18I Paper 4 449 7
  - a 18I 219 1
    - Solution a 219
  - b 18I 230 4
    - i b 57 1
      - Solution i 57
    - ii b 173 1
      - Solution ii 173
- 19H Paper 4 358 1
  - Solution 19H 358
- 20H Paper 4 478 9
  - a 20H 168 1
    - Solution a 168
  - b 20H 199 4
    - i b 142 1
      - Solution i 142
    - ii b 57 1
      - Solution ii 57
  - c 20H 111 1
    - Solution c 111
- 21G Paper 4 264 1
  - Solution 21G 264
- 22F Paper 4 310 8
  - a 22F 72 1
    - Solution a 72
  - b 22F 131 1
    - Solution b 131
  - c 22F 45 1
    - Solution c 45
  - d 22F 62 1
    - Solution d 62
- 23F Paper 4 427 8
  - a 23F 88 1
    - Solution a 88
  - b 23F 117 1
    - Solution b 117
  - c 23F 124 1
    - Solution c 124
  - d 23F 98 1
    - Solution d 98
- 24G Paper 4 353 1
  - Solution 24G 353
- 25G Paper 4 482 8
  - a 25G 153 1
    - Solution a 153
  - b 25G 132 1
    - Solution b 132
  - c 25G 77 1
    - Solution c 77
  - d 25G 120 1
    - Solution d 120
- 26K Paper 4 158 4
  - a 26K 95 1
    - Solution a 95
  - b 26K 63 1
    - Solution b 63
- 27J Paper 4 247 6
  - a 27J 52 1
    - Solution a 52
  - b 27J 102 1
    - Solution b 102
  - c 27J 93 1
    - Solution c 93
- 28K Paper 4 237 6
  - a 28K 62 1
    - Solution a 62
  - b 28K 61 1
    - Solution b 61
  - c 28K 114 1
    - Solution c 114
- 29K Paper 4 325 8
  - a 29K 129 1
    - Solution a 129
  - b 29K 63 1
    - Solution b 63
  - c 29K 50 1
    - Solution c 50
  - d 29K 83 1
    - Solution d 83
- 30J Paper 4 317 8
  - a 30J 69 1
    - Solution a 69
  - b 30J 80 1
    - Solution b 80
  - c 30J 42 1
    - Solution c 42
  - d 30J 126 1
    - Solution d 126
- 31E Paper 4 174 1
  - Solution 31E 174
- 32A Paper 4 341 10
  - i 32A 44 1
    - Solution i 44
  - ii 32A 50 1
    - Solution ii 50
  - iii 32A 61 1
    - Solution iii 61
  - iv 32A 115 1
    - Solution iv 115
  - v 32A 71 1
    - Solution v 71
- 33B Paper 4 368 13
  - a 33B 200 8
    - i a 32 1
      - Solution i 32
    - ii a 17 1
      - Solution ii 17
    - iii a 77 1
      - Solution iii 77
    - iv a 74 1
      - Solution iv 74
  - b 33B 80 1
    - Solution b 80
  - c 33B 88 1
    - Solution c 88
- 34D Paper 4 258 4
  - a 34D 100 1
    - Solution a 100
  - b 34D 158 1
    - Solution b 158
- 35A Paper 4 449 11
  - a 35A 170 1
    - Solution a 170
  - b 35A 33 1
    - Solution b 33
  - c 35A 51 1
    - Solution c 51
  - d 35A 195 4
    - i d 140 1
      - Solution i 140
    - ii d 55 1
      - Solution ii 55
- 36A Paper 4 319 10
  - a 36A 34 1
    - Solution a 34
  - b 36A 70 1
    - Solution b 70
  - c 36A 75 1
    - Solution c 75
  - d 36A 50 1
    - Solution d 50
  - e 36A 90 1
    - Solution e 90
- 37B Paper 4 262 10
  - a 37B 146 4
    - i a 70 1
      - Solution i 70
    - ii a 76 1
      - Solution ii 76
  - b 37B 116 4
    - i b 51 1
      - Solution i 51
    - ii b 65 1
      - Solution ii 65
- 38C Paper 4 478 12
  - a 38C 66 1
    - Solution a 66
  - b 38C 89 1
    - Solution b 89
  - c 38C 76 1
    - Solution c 76
  - d 38C 62 1
    - Solution d 62
  - e 38C 112 1
    - Solution e 112
  - f 38C 73 1
    - Solution f 73
- 39C Paper 4 225 6
  - a 39C 59 1
    - Solution a 59
  - b 39C 91 1
    - Solution b 91
  - c 39C 75 1
    - Solution c 75
- 40C Paper 4 344 10
  - a 40C 56 1
    - Solution a 56
  - b 40C 69 1
    - Solution b 69
  - c 40C 67 1
    - Solution c 67
  - d 40C 73 1
    - Solution d 73
  - e 40C 79 1
    - Solution e 79

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