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Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 3

www.maths.cam.ac.uk/undergrad/pastpapers/files/2025/paperii_3_2025.pdf

Table of contents 12k 318
- 1G Paper 3 231 6
  - a 1G 45 1
    - Solution a 45
  - b 1G 94 1
    - Solution b 94
  - c 1G 92 1
    - Solution c 92
- 2I Paper 3 198 1
  - Solution 2I 198
- 3K Paper 3 210 1
  - Solution 3K 210
- 4F Paper 3 299 6
  - a 4F 128 1
    - Solution a 128
  - b 4F 80 1
    - Solution b 80
  - c 4F 91 1
    - Solution c 91
- 5K Paper 3 131 1
  - Solution 5K 131
- 6A Paper 3 135 6
  - a 6A 47 1
    - Solution a 47
  - b 6A 38 1
    - Solution b 38
  - c 6A 50 1
    - Solution c 50
- 7E Paper 3 78 4
  - a 7E 50 1
    - Solution a 50
  - b 7E 28 1
    - Solution b 28
- 8B Paper 3 248 6
  - a 8B 82 1
    - Solution a 82
  - b 8B 63 1
    - Solution b 63
  - c 8B 103 1
    - Solution c 103
- 9E Paper 3 206 6
  - a 9E 45 1
    - Solution a 45
  - b 9E 68 1
    - Solution b 68
  - c 9E 93 1
    - Solution c 93
- 10C Paper 3 285 11
  - a 10C 54 1
    - Solution a 54
  - b 10C 231 8
    - i b 88 1
      - Solution i 88
    - ii b 62 1
      - Solution ii 62
    - iii b 32 1
      - Solution iii 32
    - iv b 49 1
      - Solution iv 49
- 11G Paper 3 181 6
  - a 11G 66 1
    - Solution a 66
  - b 11G 32 1
    - Solution b 32
  - c 11G 83 1
    - Solution c 83
- 12F Paper 3 468 18
  - a 12F 117 8
    - i a 23 1
      - Solution i 23
    - ii a 30 1
      - Solution ii 30
    - iii a 20 1
      - Solution iii 20
    - iv a 44 1
      - Solution iv 44
  - b 12F 177 6
    - i b 25 1
      - Solution i 25
    - ii b 38 1
      - Solution ii 38
    - iii b 114 1
      - Solution iii 114
  - c 12F 174 1
    - Solution c 174
- 13A Paper 3 241 8
  - a 13A 55 1
    - Solution a 55
  - b 13A 51 1
    - Solution b 51
  - c 13A 48 1
    - Solution c 48
  - d 13A 87 1
    - Solution d 87
- 14E Paper 3 239 9
  - a 14E 71 1
    - Solution a 71
  - b 14E 168 6
    - i b 71 1
      - Solution i 71
    - ii b 31 1
      - Solution ii 31
    - iii b 66 1
      - Solution iii 66
- 15C Paper 3 350 12
  - a 15C 81 1
    - Solution a 81
  - b 15C 45 1
    - Solution b 45
  - c 15C 29 1
    - Solution c 29
  - d 15C 57 1
    - Solution d 57
  - e 15C 75 1
    - Solution e 75
  - f 15C 63 1
    - Solution f 63
- 16H Paper 3 548 10
  - a 16H 109 1
    - Solution a 109
  - b 16H 88 1
    - Solution b 88
  - c 16H 166 1
    - Solution c 166
  - d 16H 130 1
    - Solution d 130
  - e 16H 55 1
    - Solution e 55
- 17F Paper 3 419 9
  - a 17F 196 1
    - Solution a 196
  - b 17F 100 1
    - Solution b 100
  - c 17F 123 4
    - i c 45 1
      - Solution i 45
    - ii c 78 1
      - Solution ii 78
- 18J Paper 3 517 8
  - a 18J 33 1
    - Solution a 33
  - b 18J 135 1
    - Solution b 135
  - c 18J 143 1
    - Solution c 143
  - d 18J 206 1
    - Solution d 206
- 19J Paper 3 428 12
  - a 19J 105 1
    - Solution a 105
  - b 19J 55 1
    - Solution b 55
  - c 19J 86 1
    - Solution c 86
  - d 19J 75 1
    - Solution d 75
  - e 19J 30 1
    - Solution e 30
  - f 19J 77 1
    - Solution f 77
- 20F Paper 3 269 4
  - a 20F 122 1
    - Solution a 122
  - b 20F 147 1
    - Solution b 147
- 21I Paper 3 370 4
  - a 21I 231 1
    - Solution a 231
  - b 21I 139 1
    - Solution b 139
- 22H Paper 3 261 7
  - a 22H 94 1
    - Solution a 94
  - b 22H 167 4
    - i b 81 1
      - Solution i 81
    - ii b 86 1
      - Solution ii 86
- 23G Paper 3 391 1
  - Solution 23G 391
- 24J Paper 3 434 1
  - Solution 24J 434
- 25I Paper 3 272 9
  - a 25I 94 1
    - Solution a 94
  - b 25I 178 6
    - i b 69 1
      - Solution i 69
    - ii b 56 1
      - Solution ii 56
    - iii b 53 1
      - Solution iii 53
- 26H Paper 3 257 6
  - a 26H 88 1
    - Solution a 88
  - b 26H 58 1
    - Solution b 58
  - c 26H 111 1
    - Solution c 111
- 27L Paper 3 364 6
  - a 27L 79 1
    - Solution a 79
  - b 27L 157 1
    - Solution b 157
  - c 27L 128 1
    - Solution c 128
- 28L Paper 3 322 11
  - a 28L 50 1
    - Solution a 50
  - b 28L 173 6
    - i b 47 1
      - Solution i 47
    - ii b 70 1
      - Solution ii 70
    - iii b 56 1
      - Solution iii 56
  - c 28L 99 1
    - Solution c 99
- 29K Paper 3 276 8
  - a 29K 104 1
    - Solution a 104
  - b 29K 34 1
    - Solution b 34
  - c 29K 54 1
    - Solution c 54
  - d 29K 84 1
    - Solution d 84
- 30D Paper 3 267 9
  - a 30D 75 1
    - Solution a 75
  - b 30D 192 6
    - i b 50 1
      - Solution i 50
    - ii b 88 1
      - Solution ii 88
    - iii b 54 1
      - Solution iii 54
- 31A Paper 3 611 11
  - a 31A 146 1
    - Solution a 146
  - b 31A 465 8
    - i b 88 1
      - Solution i 88
    - ii b 114 1
      - Solution ii 114
    - iii b 118 1
      - Solution iii 118
    - iv b 145 1
      - Solution iv 145
- 32D Paper 3 216 4
  - a 32D 90 1
    - Solution a 90
  - b 32D 126 1
    - Solution b 126
- 33C Paper 3 283 8
  - a 33C 54 1
    - Solution a 54
  - b 33C 64 1
    - Solution b 64
  - c 33C 54 1
    - Solution c 54
  - d 33C 111 1
    - Solution d 111
- 34B Paper 3 235 6
  - a 34B 85 1
    - Solution a 85
  - b 34B 57 1
    - Solution b 57
  - c 34B 93 1
    - Solution c 93
- 35C Paper 3 239 6
  - a 35C 50 1
    - Solution a 50
  - b 35C 47 1
    - Solution b 47
  - c 35C 142 1
    - Solution c 142
- 36B Paper 3 223 1
  - Solution 36B 223
- 37E Paper 3 426 10
  - a 37E 52 1
    - Solution a 52
  - b 37E 59 1
    - Solution b 59
  - c 37E 94 1
    - Solution c 94
  - d 37E 123 1
    - Solution d 123
  - e 37E 98 1
    - Solution e 98
- 38D Paper 3 233 6
  - a 38D 74 1
    - Solution a 74
  - b 38D 72 1
    - Solution b 72
  - c 38D 87 1
    - Solution c 87
- 39A Paper 3 248 12
  - a 39A 86 6
    - i a 21 1
      - Solution i 21
    - ii a 35 1
      - Solution ii 35
    - iii a 30 1
      - Solution iii 30
  - b 39A 162 4
    - i b 78 1
      - Solution i 78
    - ii b 84 1
      - Solution ii 84
- 40D Paper 3 325 8
  - a 40D 78 1
    - Solution a 78
  - b 40D 45 1
    - Solution b 45
  - c 40D 112 1
    - Solution c 112
  - d 40D 90 1
    - Solution d 90

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