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Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 1

www.maths.cam.ac.uk/undergrad/pastpapers/files/2025/paperii_1_2025.pdf

Table of contents 9k 322
- 1G Paper 1 53 4
  - a 1G 14 1
    - Solution a 14
  - b 1G 39 1
    - Solution b 39
- 2I Paper 1 141 1
  - Solution 2I 141
- 3K Paper 1 109 1
  - Solution 3K 109
- 4F Paper 1 78 1
  - Solution 4F 78
- 5K Paper 1 52 1
  - Solution 5K 52
- 6A Paper 1 178 6
  - a 6A 42 1
    - Solution a 42
  - b 6A 86 1
    - Solution b 86
  - c 6A 50 1
    - Solution c 50
- 7E Paper 1 46 1
  - Solution 7E 46
- 8B Paper 1 97 4
  - a 8B 47 1
    - Solution a 47
  - b 8B 50 1
    - Solution b 50
- 9E Paper 1 81 4
  - a 9E 37 1
    - Solution a 37
  - b 9E 44 1
    - Solution b 44
- 10C Paper 1 150 6
  - a 10C 29 1
    - Solution a 29
  - b 10C 46 1
    - Solution b 46
  - c 10C 75 1
    - Solution c 75
- 11K Paper 1 340 4
  - a 11K 277 1
    - Solution a 277
  - b 11K 63 1
    - Solution b 63
- 12F Paper 1 409 17
  - a 12F 104 6
    - i a 35 1
      - Solution i 35
    - ii a 13 1
      - Solution ii 13
    - iii a 56 1
      - Solution iii 56
  - b 12F 60 1
    - Solution b 60
  - c 12F 32 1
    - Solution c 32
  - d 12F 56 1
    - Solution d 56
  - e 12F 52 1
    - Solution e 52
  - f 12F 105 1
    - Solution f 105
- 13K Paper 1 236 10
  - a 13K 30 1
    - Solution a 30
  - b 13K 57 1
    - Solution b 57
  - c 13K 66 1
    - Solution c 66
  - d 13K 23 1
    - Solution d 23
  - e 13K 60 1
    - Solution e 60
- 14E Paper 1 269 6
  - a 14E 98 1
    - Solution a 98
  - b 14E 62 1
    - Solution b 62
  - c 14E 109 1
    - Solution c 109
- 15E Paper 1 245 14
  - a 15E 85 4
    - i a 42 1
      - Solution i 42
    - ii a 43 1
      - Solution ii 43
  - b 15E 160 8
    - i b 37 1
      - Solution i 37
    - ii b 26 1
      - Solution ii 26
    - iii b 41 1
      - Solution iii 41
    - iv b 56 1
      - Solution iv 56
- 16H Paper 1 340 12
  - a 16H 58 1
    - Solution a 58
  - b 16H 39 1
    - Solution b 39
  - c 16H 46 1
    - Solution c 46
  - d 16H 28 1
    - Solution d 28
  - e 16H 93 1
    - Solution e 93
  - f 16H 76 1
    - Solution f 76
- 17F Paper 1 421 4
  - a 17F 208 1
    - Solution a 208
  - b 17F 213 1
    - Solution b 213
- 18J Paper 1 194 6
  - a 18J 59 1
    - Solution a 59
  - b 18J 53 1
    - Solution b 53
  - c 18J 82 1
    - Solution c 82
- 19J Paper 1 269 8
  - a 19J 48 1
    - Solution a 48
  - b 19J 90 1
    - Solution b 90
  - c 19J 68 1
    - Solution c 68
  - d 19J 63 1
    - Solution d 63
- 20G Paper 1 285 10
  - a 20G 92 1
    - Solution a 92
  - b 20G 43 1
    - Solution b 43
  - c 20G 36 1
    - Solution c 36
  - d 20G 59 1
    - Solution d 59
  - e 20G 55 1
    - Solution e 55
- 21F Paper 1 227 1
  - Solution 21F 227
- 22I Paper 1 239 9
  - a 22I 178 6
    - i a 83 1
      - Solution i 83
    - ii a 77 1
      - Solution ii 77
    - iii a 18 1
      - Solution iii 18
  - b 22I 61 1
    - Solution b 61
- 23H Paper 1 151 7
  - a 23H 113 4
    - i a 59 1
      - Solution i 59
    - ii a 54 1
      - Solution ii 54
  - b 23H 38 1
    - Solution b 38
- 24G Paper 1 259 6
  - i 24G 143 1
    - Solution i 143
  - ii 24G 46 1
    - Solution ii 46
  - iii 24G 70 1
    - Solution iii 70
- 25J Paper 1 250 1
  - Solution 25J 250
- 26I Paper 1 322 9
  - a 26I 102 1
    - Solution a 102
  - b 26I 64 1
    - Solution b 64
  - c 26I 156 4
    - i c 105 1
      - Solution i 105
    - ii c 51 1
      - Solution ii 51
- 27H Paper 1 123 8
  - a 27H 42 1
    - Solution a 42
  - b 27H 15 1
    - Solution b 15
  - c 27H 38 1
    - Solution c 38
  - d 27H 28 1
    - Solution d 28
- 28L Paper 1 131 6
  - a 28L 34 1
    - Solution a 34
  - b 28L 50 1
    - Solution b 50
  - c 28L 47 1
    - Solution c 47
- 29L Paper 1 182 12
  - a 29L 20 1
    - Solution a 20
  - b 29L 71 4
    - i b 16 1
      - Solution i 16
    - ii b 55 1
      - Solution ii 55
  - c 29L 91 4
    - i c 54 1
      - Solution i 54
    - ii c 37 1
      - Solution ii 37
- 30K Paper 1 188 6
  - a 30K 28 1
    - Solution a 28
  - b 30K 91 1
    - Solution b 91
  - c 30K 69 1
    - Solution c 69
- 31L Paper 1 217 8
  - a 31L 56 1
    - Solution a 56
  - b 31L 37 1
    - Solution b 37
  - c 31L 53 1
    - Solution c 53
  - d 31L 71 1
    - Solution d 71
- 32A Paper 1 297 9
  - a 32A 116 1
    - Solution a 116
  - b 32A 181 6
    - i b 30 1
      - Solution i 30
    - ii b 68 1
      - Solution ii 68
    - iii b 83 1
      - Solution iii 83
- 33D Paper 1 123 8
  - a 33D 20 1
    - Solution a 20
  - b 33D 32 1
    - Solution b 32
  - c 33D 38 1
    - Solution c 38
  - d 33D 33 1
    - Solution d 33
- 34C Paper 1 274 19
  - a 34C 75 6
    - i a 27 1
      - Solution i 27
    - ii a 36 1
      - Solution ii 36
    - iii a 12 1
      - Solution iii 12
  - b 34C 111 6
    - i b 29 1
      - Solution i 29
    - ii b 20 1
      - Solution ii 20
    - iii b 62 1
      - Solution iii 62
  - c 34C 88 4
    - i c 27 1
      - Solution i 27
    - ii c 61 1
      - Solution ii 61
- 35B Paper 1 224 4
  - a 35B 63 1
    - Solution a 63
  - b 35B 161 1
    - Solution b 161
- 36C Paper 1 228 9
  - a 36C 68 1
    - Solution a 68
  - b 36C 160 6
    - i b 51 1
      - Solution i 51
    - ii b 41 1
      - Solution ii 41
    - iii b 68 1
      - Solution iii 68
- 37B Paper 1 175 4
  - i 37B 101 1
    - Solution i 101
  - ii 37B 74 1
    - Solution ii 74
- 38E Paper 1 203 6
  - a 38E 72 1
    - Solution a 72
  - b 38E 66 1
    - Solution b 66
  - c 38E 65 1
    - Solution c 65
- 39D Paper 1 360 11
  - a 39D 52 1
    - Solution a 52
  - b 39D 114 1
    - Solution b 114
  - c 39D 194 6
    - i c 32 1
      - Solution i 32
    - ii c 101 1
      - Solution ii 101
    - iii c 61 1
      - Solution iii 61
- 40A Paper 1 321 11
  - a 40A 58 1
    - Solution a 58
  - b 40A 44 1
    - Solution b 44
  - c 40A 219 6
    - i c 71 1
      - Solution i 71
    - ii c 66 1
      - Solution ii 66
    - iii c 82 1
      - Solution iii 82
- 41D Paper 1 373 7
  - a 41D 144 1
    - Solution a 144
  - b 41D 229 4
    - i b 57 1
      - Solution i 57
    - ii b 172 1
      - Solution ii 172

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