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

Table of contents 46k 1k
- Paper 1 ii 9k 322
  - 1G Paper 1 53 4
    - a 1G 1
    - b 1G 1
  - 2I Paper 1 1
    - Solution 2I
  - 3K Paper 1 1
    - Solution 3K
  - 4F Paper 1 1
    - Solution 4F
  - 5K Paper 1 1
    - Solution 5K
  - 6A Paper 1 178 6
    - a 6A 1
    - b 6A 1
    - c 6A 1
  - 7E Paper 1 1
    - Solution 7E
  - 8B Paper 1 97 4
    - a 8B 1
    - b 8B 1
  - 9E Paper 1 81 4
    - a 9E 1
    - b 9E 1
  - 10C Paper 1 150 6
    - a 10C 1
    - b 10C 1
    - c 10C 1
  - 11K Paper 1 340 4
    - a 11K 1
    - b 11K 1
  - 12F Paper 1 409 17
    - a 12F 104 6
    - b 12F 1
    - c 12F 1
    - d 12F 1
    - e 12F 1
    - f 12F 1
  - 13K Paper 1 236 10
    - a 13K 1
    - b 13K 1
    - c 13K 1
    - d 13K 1
    - e 13K 1
  - 14E Paper 1 269 6
    - a 14E 1
    - b 14E 1
    - c 14E 1
  - 15E Paper 1 245 14
    - a 15E 85 4
    - b 15E 160 8
  - 16H Paper 1 340 12
    - a 16H 1
    - b 16H 1
    - c 16H 1
    - d 16H 1
    - e 16H 1
    - f 16H 1
  - 17F Paper 1 421 4
    - a 17F 1
    - b 17F 1
  - 18J Paper 1 194 6
    - a 18J 1
    - b 18J 1
    - c 18J 1
  - 19J Paper 1 269 8
    - a 19J 1
    - b 19J 1
    - c 19J 1
    - d 19J 1
  - 20G Paper 1 285 10
    - a 20G 1
    - b 20G 1
    - c 20G 1
    - d 20G 1
    - e 20G 1
  - 21F Paper 1 1
    - Solution 21F
  - 22I Paper 1 239 9
    - a 22I 178 6
    - b 22I 1
  - 23H Paper 1 151 7
    - a 23H 113 4
    - b 23H 1
  - 24G Paper 1 259 6
    - i 24G 1
    - ii 24G 1
    - iii 24G 1
  - 25J Paper 1 1
    - Solution 25J
  - 26I Paper 1 322 9
    - a 26I 1
    - b 26I 1
    - c 26I 156 4
  - 27H Paper 1 123 8
    - a 27H 1
    - b 27H 1
    - c 27H 1
    - d 27H 1
  - 28L Paper 1 131 6
    - a 28L 1
    - b 28L 1
    - c 28L 1
  - 29L Paper 1 182 12
    - a 29L 1
    - b 29L 71 4
    - c 29L 91 4
  - 30K Paper 1 188 6
    - a 30K 1
    - b 30K 1
    - c 30K 1
  - 31L Paper 1 217 8
    - a 31L 1
    - b 31L 1
    - c 31L 1
    - d 31L 1
  - 32A Paper 1 297 9
    - a 32A 1
    - b 32A 181 6
  - 33D Paper 1 123 8
    - a 33D 1
    - b 33D 1
    - c 33D 1
    - d 33D 1
  - 34C Paper 1 274 19
    - a 34C 75 6
    - b 34C 111 6
    - c 34C 88 4
  - 35B Paper 1 224 4
    - a 35B 1
    - b 35B 1
  - 36C Paper 1 228 9
    - a 36C 1
    - b 36C 160 6
  - 37B Paper 1 175 4
    - i 37B 1
    - ii 37B 1
  - 38E Paper 1 203 6
    - a 38E 1
    - b 38E 1
    - c 38E 1
  - 39D Paper 1 360 11
    - a 39D 1
    - b 39D 1
    - c 39D 194 6
  - 40A Paper 1 321 11
    - a 40A 1
    - b 40A 1
    - c 40A 219 6
  - 41D Paper 1 373 7
    - a 41D 1
    - b 41D 229 4
- Paper 2 ii 13k 369
  - 1G Paper 2 83 6
    - a 1G 1
    - b 1G 1
    - c 1G 1
  - 2I Paper 2 1
    - Solution 2I
  - 3K Paper 2 1
    - Solution 3K
  - 4F Paper 2 364 11
    - a 4F 1
    - b 4F 309 8
  - 5K Paper 2 124 5
    - Solution 5K
    - 1 5K 1
    - 2 5K 1
  - 6A Paper 2 232 8
    - a 6A 1
    - b 6A 1
    - c 6A 1
    - d 6A 1
  - 7E Paper 2 215 6
    - a 7E 1
    - b 7E 1
    - c 7E 1
  - 8B Paper 2 207 4
    - a 8B 1
    - b 8B 1
  - 9E Paper 2 281 8
    - a 9E 1
    - b 9E 1
    - c 9E 1
    - d 9E 1
  - 10C Paper 2 179 8
    - a 10C 1
    - b 10C 1
    - c 10C 1
    - d 10C 1
  - 11I Paper 2 320 6
    - a 11I 1
    - b 11I 1
    - c 11I 1
  - 12K Paper 2 1
    - Solution 12K
  - 13E Paper 2 277 8
    - a 13E 1
    - b 13E 1
    - c 13E 1
    - d 13E 1
  - 14B Paper 2 202 6
    - a 14B 1
    - b 14B 1
    - c 14B 1
  - 15C Paper 2 394 15
    - a 15C 1
    - b 15C 1
    - c 15C 1
    - d 15C 214 8
  - 16H Paper 2 808 24
    - a 16H 113 8
    - b 16H 1
    - c 16H 1
    - d 16H 1
    - e 16H 172 6
    - f 16H 1
  - 17F Paper 2 551 10
    - a 17F 225 7
    - b 17F 1
  - 18J Paper 2 345 9
    - Solution 18J
    - a 18J 1
    - b 18J 1
    - c 18J 1
    - d 18J 1
  - 19J Paper 2 406 9
    - a 19J 1
    - b 19J 167 4
    - c 19J 1
  - 20G Paper 2 380 8
    - a 20G 1
    - b 20G 1
    - c 20G 1
    - d 20G 1
  - 21F Paper 2 145 5
    - Solution 21F
    - a 21F 1
    - b 21F 1
  - 22I Paper 2 296 9
    - a 22I 1
    - b 22I 173 6
  - 23H Paper 2 400 6
    - a 23H 1
    - b 23H 1
    - c 23H 1
  - 24G Paper 2 196 9
    - Solution 24G
    - i 24G 1
    - ii 24G 1
    - iii 24G 1
    - iv 24G 1
  - 25J Paper 2 1
    - Solution 25J
  - 26I Paper 2 344 9
    - a 26I 1
    - b 26I 233 6
  - 27H Paper 2 231 6
    - a 27H 1
    - b 27H 1
    - c 27H 1
  - 28L Paper 2 606 16
    - a 28L 1
    - b 28L 230 4
    - c 28L 174 8
  - 29L Paper 2 243 12
    - a 29L 118 6
    - b 29L 125 4
  - 30K Paper 2 282 10
    - a 30K 1
    - b 30K 1
    - c 30K 1
    - d 30K 1
    - e 30K 1
  - 31L Paper 2 340 11
    - a 31L 1
    - b 31L 124 4
    - c 31L 1
    - d 31L 1
  - 32D Paper 2 137 6
    - a 32D 1
    - b 32D 1
    - c 32D 1
  - 33A Paper 2 350 9
    - Solution 33A
    - a 33A 1
    - b 33A 1
    - c 33A 1
    - d 33A 1
  - 34D Paper 2 230 7
    - a 34D 1
    - b 34D 133 4
  - 35C Paper 2 273 8
    - a 35C 1
    - b 35C 1
    - c 35C 1
    - d 35C 1
  - 36B Paper 2 217 6
    - a 36B 1
    - b 36B 1
    - c 36B 1
  - 37C Paper 2 178 9
    - a 37C 1
    - b 37C 1
    - c 37C 90 4
  - 38E Paper 2 318 8
    - a 38E 1
    - b 38E 1
    - c 38E 1
    - d 38E 1
  - 39D Paper 2 210 11
    - Solution 39D
    - i 39D 1
    - ii 39D 1
    - iii 39D 1
    - iv 39D 1
    - v 39D 1
  - 40A Paper 2 390 8
    - a 40A 1
    - b 40A 1
    - c 40A 1
    - d 40A 1
  - 41D Paper 2 220 8
    - a 41D 1
    - b 41D 1
    - c 41D 1
    - d 41D 1
- Paper 3 ii 12k 318
  - 1G Paper 3 231 6
    - a 1G 1
    - b 1G 1
    - c 1G 1
  - 2I Paper 3 1
    - Solution 2I
  - 3K Paper 3 1
    - Solution 3K
  - 4F Paper 3 299 6
    - a 4F 1
    - b 4F 1
    - c 4F 1
  - 5K Paper 3 1
    - Solution 5K
  - 6A Paper 3 135 6
    - a 6A 1
    - b 6A 1
    - c 6A 1
  - 7E Paper 3 78 4
    - a 7E 1
    - b 7E 1
  - 8B Paper 3 248 6
    - a 8B 1
    - b 8B 1
    - c 8B 1
  - 9E Paper 3 206 6
    - a 9E 1
    - b 9E 1
    - c 9E 1
  - 10C Paper 3 285 11
    - a 10C 1
    - b 10C 231 8
  - 11G Paper 3 181 6
    - a 11G 1
    - b 11G 1
    - c 11G 1
  - 12F Paper 3 468 18
    - a 12F 117 8
    - b 12F 177 6
    - c 12F 1
  - 13A Paper 3 241 8
    - a 13A 1
    - b 13A 1
    - c 13A 1
    - d 13A 1
  - 14E Paper 3 239 9
    - a 14E 1
    - b 14E 168 6
  - 15C Paper 3 350 12
    - a 15C 1
    - b 15C 1
    - c 15C 1
    - d 15C 1
    - e 15C 1
    - f 15C 1
  - 16H Paper 3 548 10
    - a 16H 1
    - b 16H 1
    - c 16H 1
    - d 16H 1
    - e 16H 1
  - 17F Paper 3 419 9
    - a 17F 1
    - b 17F 1
    - c 17F 123 4
  - 18J Paper 3 517 8
    - a 18J 1
    - b 18J 1
    - c 18J 1
    - d 18J 1
  - 19J Paper 3 428 12
    - a 19J 1
    - b 19J 1
    - c 19J 1
    - d 19J 1
    - e 19J 1
    - f 19J 1
  - 20F Paper 3 269 4
    - a 20F 1
    - b 20F 1
  - 21I Paper 3 370 4
    - a 21I 1
    - b 21I 1
  - 22H Paper 3 261 7
    - a 22H 1
    - b 22H 167 4
  - 23G Paper 3 1
    - Solution 23G
  - 24J Paper 3 1
    - Solution 24J
  - 25I Paper 3 272 9
    - a 25I 1
    - b 25I 178 6
  - 26H Paper 3 257 6
    - a 26H 1
    - b 26H 1
    - c 26H 1
  - 27L Paper 3 364 6
    - a 27L 1
    - b 27L 1
    - c 27L 1
  - 28L Paper 3 322 11
    - a 28L 1
    - b 28L 173 6
    - c 28L 1
  - 29K Paper 3 276 8
    - a 29K 1
    - b 29K 1
    - c 29K 1
    - d 29K 1
  - 30D Paper 3 267 9
    - a 30D 1
    - b 30D 192 6
  - 31A Paper 3 611 11
    - a 31A 1
    - b 31A 465 8
  - 32D Paper 3 216 4
    - a 32D 1
    - b 32D 1
  - 33C Paper 3 283 8
    - a 33C 1
    - b 33C 1
    - c 33C 1
    - d 33C 1
  - 34B Paper 3 235 6
    - a 34B 1
    - b 34B 1
    - c 34B 1
  - 35C Paper 3 239 6
    - a 35C 1
    - b 35C 1
    - c 35C 1
  - 36B Paper 3 1
    - Solution 36B
  - 37E Paper 3 426 10
    - a 37E 1
    - b 37E 1
    - c 37E 1
    - d 37E 1
    - e 37E 1
  - 38D Paper 3 233 6
    - a 38D 1
    - b 38D 1
    - c 38D 1
  - 39A Paper 3 248 12
    - a 39A 86 6
    - b 39A 162 4
  - 40D Paper 3 325 8
    - a 40D 1
    - b 40D 1
    - c 40D 1
    - d 40D 1
- Paper 4 ii 12k 314
  - 1G Paper 4 193 9
    - a 1G 1
    - b 1G 1
    - c 1G 96 4
  - 2I Paper 4 1
    - Solution 2I
  - 3K Paper 4 1
    - Solution 3K
  - 4F Paper 4 278 11
    - a 4F 1
    - b 4F 116 4
    - c 4F 1
    - d 4F 1
  - 5K Paper 4 1
    - Solution 5K
  - 6A Paper 4 87 4
    - a 6A 1
    - b 6A 1
  - 7E Paper 4 1
    - Solution 7E
  - 8B Paper 4 174 9
    - a 8B 1
    - b 8B 128 6
  - 9E Paper 4 146 6
    - a 9E 1
    - b 9E 1
    - c 9E 1
  - 10C Paper 4 166 4
    - a 10C 1
    - b 10C 1
  - 11G Paper 4 237 8
    - a 11G 1
    - b 11G 1
    - c 11G 1
    - d 11G 1
  - 12I Paper 4 614 5
    - Solution 12I
    - i 12I 1
    - ii 12I 1
  - 13K Paper 4 532 8
    - a 13K 1
    - b 13K 1
    - c 13K 1
    - d 13K 1
  - 14A Paper 4 270 6
    - a 14A 1
    - b 14A 1
    - c 14A 1
  - 15B Paper 4 254 6
    - a 15B 1
    - b 15B 1
    - c 15B 1
  - 16H Paper 4 524 12
    - a 16H 1
    - b 16H 1
    - c 16H 1
    - d 16H 1
    - e 16H 1
    - f 16H 1
  - 17F Paper 4 617 10
    - a 17F 1
    - b 17F 437 7
  - 18J Paper 4 518 6
    - a 18J 1
    - b 18J 1
    - c 18J 1
  - 19J Paper 4 453 12
    - a 19J 139 4
    - b 19J 314 6
  - 20G Paper 4 476 10
    - a 20G 1
    - b 20G 1
    - c 20G 1
    - d 20G 1
    - e 20G 1
  - 21F Paper 4 332 7
    - Solution 21F
    - i 21F 1
    - ii 21F 1
    - iii 21F 1
  - 22I Paper 4 354 6
    - a 22I 1
    - b 22I 1
    - c 22I 1
  - 23H Paper 4 389 14
    - a 23H 135 6
    - b 23H 254 6
  - 24J Paper 4 1
    - Solution 24J
  - 25I Paper 4 329 8
    - a 25I 1
    - b 25I 1
    - c 25I 1
    - d 25I 1
  - 26H Paper 4 212 6
    - a 26H 1
    - b 26H 1
    - c 26H 1
  - 27L Paper 4 213 7
    - a 27L 1
    - b 27L 109 4
  - 28L Paper 4 319 6
    - a 28L 1
    - b 28L 1
    - c 28L 1
  - 29K Paper 4 342 8
    - a 29K 1
    - b 29K 1
    - c 29K 1
    - d 29K 1
  - 30L Paper 4 347 6
    - a 30L 1
    - b 30L 1
    - c 30L 1
  - 31D Paper 4 259 8
    - a 31D 1
    - b 31D 1
    - c 31D 1
    - d 31D 1
  - 32A Paper 4 330 15
    - Solution 32A
    - a 32A 182 6
    - b 32A 148 6
  - 33C Paper 4 356 10
    - a 33C 1
    - b 33C 1
    - c 33C 210 5
  - 34B Paper 4 243 6
    - a 34B 1
    - b 34B 1
    - c 34B 1
  - 35C Paper 4 274 6
    - a 35C 1
    - b 35C 1
    - c 35C 1
  - 36B Paper 4 420 8
    - a 36B 1
    - b 36B 1
    - c 36B 1
    - d 36B 1
  - 37E Paper 4 201 6
    - a 37E 1
    - b 37E 1
    - c 37E 1
  - 38D Paper 4 222 4
    - a 38D 1
    - b 38D 1
  - 39A Paper 4 142 8
    - a 39A 1
    - b 39A 1
    - c 39A 1
    - d 39A 1
  - 40D Paper 4 212 4
    - a 40D 1
    - b 40D 1

 Ancestors (7)