Past exam of the mathematics course of the University of Cambridge / 2021 / ii

Table of contents 32k 1k
- Paper 1 ii 13k 304
  - 1I Paper 1 1
    - Solution 1I
  - 2H Paper 1 1
    - Solution 2H
  - 3K Paper 1 324 6
    - i 3K 1
      - Solution i
    - ii 3K 1
      - Solution ii
    - iii 3K 1
      - Solution iii
  - 4F Paper 1 1
    - Solution 4F
  - 5J Paper 1 1
    - Solution 5J
  - 6E Paper 1 327 12
    - a 6E 88 4
      - i a 1
      - ii a 1
    - b 6E 239 6
      - i b 1
      - ii b 1
      - iii b 1
  - 7E Paper 1 1
    - Solution 7E
  - 8D Paper 1 137 4
    - a 8D 1
      - Solution a
    - b 8D 1
      - Solution b
  - 9B Paper 1 258 6
    - a 9B 1
      - Solution a
    - b 9B 1
      - Solution b
    - c 9B 1
      - Solution c
  - 10D Paper 1 219 4
    - a 10D 1
      - Solution a
    - b 10D 1
      - Solution b
  - 11K Paper 1 1
    - Solution 11K
  - 12F Paper 1 352 6
    - i 12F 1
      - Solution i
    - ii 12F 1
      - Solution ii
    - iii 12F 1
      - Solution iii
  - 13J Paper 1 596 12
    - a 13J 328 6
      - i a 1
      - ii a 1
      - iii a 1
    - b 13J 268 4
      - i b 1
      - ii b 1
  - 14E Paper 1 366 8
    - a 14E 1
      - Solution a
    - b 14E 1
      - Solution b
    - c 14E 1
      - Solution c
    - d 14E 1
      - Solution d
  - 15B Paper 1 345 8
    - a 15B 1
      - Solution a
    - b 15B 1
      - Solution b
    - c 15B 1
      - Solution c
    - d 15B 1
      - Solution d
  - 16G Paper 1 321 6
    - a 16G 1
      - Solution a
    - b 16G 1
      - Solution b
    - c 16G 1
      - Solution c
  - 17G Paper 1 313 6
    - a 17G 1
      - Solution a
    - b 17G 1
      - Solution b
    - c 17G 1
      - Solution c
  - 18I Paper 1 479 4
    - a 18I 1
      - Solution a
    - b 18I 1
      - Solution b
  - 19I Paper 1 466 11
    - a 19I 1
      - Solution a
    - b 19I 1
      - Solution b
    - c 19I 144 6
      - i c 1
      - ii c 1
      - iii c 1
  - 20G Paper 1 318 6
    - a 20G 1
      - Solution a
    - b 20G 1
      - Solution b
    - c 20G 1
      - Solution c
  - 21F Paper 1 295 6
    - a 21F 1
      - Solution a
    - b 21F 1
      - Solution b
    - c 21F 1
      - Solution c
  - 22H Paper 1 489 14
    - a 22H 162 4
      - i a 1
      - ii a 1
    - b 22H 1
      - Solution b
    - c 22H 238 6
      - i c 1
      - ii c 1
      - iii c 1
  - 23H Paper 1 300 4
    - a 23H 1
      - Solution a
    - b 23H 1
      - Solution b
  - 24F Paper 1 449 8
    - a 24F 1
      - Solution a
    - b 24F 1
      - Solution b
    - c 24F 1
      - Solution c
    - d 24F 1
      - Solution d
  - 25I Paper 1 296 9
    - Solution 25I
    - i 25I 1
      - Solution i
    - ii 25I 1
      - Solution ii
    - Decomposition of the given vanishing locus 25I 1
      - Solution Decomposition of the given vanishing locus
    - Non-isomorphism of the two unions of lines 25I 1
      - Solution Non-isomorphism of the two unions of lines
  - 26F Paper 1 339 10
    - a 26F 1
      - Solution a
    - b 26F 1
      - Solution b
    - c 26F 147 5
      - Solution c
      - i c 1
      - ii c 1
  - 27H Paper 1 152 6
    - a 27H 1
      - Solution a
    - b 27H 1
      - Solution b
    - c 27H 1
      - Solution c
  - 28K Paper 1 256 6
    - a 28K 1
      - Solution a
    - b 28K 1
      - Solution b
    - c 28K 1
      - Solution c
  - 29J Paper 1 254 6
    - a 29J 1
      - Solution a
    - b 29J 1
      - Solution b
    - c 29J 1
      - Solution c
  - 30K Paper 1 413 10
    - a 30K 1
      - Solution a
    - b 30K 1
      - Solution b
    - c 30K 1
      - Solution c
    - d 30K 1
      - Solution d
    - e 30K 1
      - Solution e
  - 31J Paper 1 1
    - Solution 31J
  - 32A Paper 1 611 11
    - a 32A 1
      - Solution a
    - b 32A 1
      - Solution b
    - c 32A 268 4
      - i c 1
      - ii c 1
    - d 32A 1
      - Solution d
  - 33D Paper 1 242 6
    - a 33D 1
      - Solution a
    - b 33D 1
      - Solution b
    - c 33D 1
      - Solution c
  - 34B Paper 1 309 4
    - a 34B 1
      - Solution a
    - b 34B 1
      - Solution b
  - 35B Paper 1 383 11
    - a 35B 1
      - Solution a
    - b 35B 269 8
      - i b 1
      - ii b 1
      - iii b 1
      - iv b 1
  - 36C Paper 1 305 8
    - a 36C 1
      - Solution a
    - b 36C 1
      - Solution b
    - c 36C 1
      - Solution c
    - d 36C 1
      - Solution d
  - 37C Paper 1 357 8
    - a 37C 1
      - Solution a
    - b 37C 1
      - Solution b
    - c 37C 1
      - Solution c
    - d 37C 1
      - Solution d
  - 38C Paper 1 348 9
    - a 38C 1
      - Solution a
    - b 38C 1
      - Solution b
    - c 38C 182 4
      - i c 1
      - ii c 1
  - 39A Paper 1 458 11
    - a 39A 1
      - Solution a
    - b 39A 382 8
      - i b 1
      - ii b 1
      - iii b 1
      - iv b 1
  - 40A Paper 1 344 6
    - a 40A 1
      - Solution a
    - b 40A 1
      - Solution b
    - c 40A 1
      - Solution c
  - 41E Paper 1 348 4
    - a 41E 1
      - Solution a
    - b 41E 1
      - Solution b
- Paper 2 ii 7k 254
  - 1I Paper 2 1
    - Solution 1I
  - 2H Paper 2 171 8
    - i 2H 1
      - Solution i
    - ii 2H 1
      - Solution ii
    - iii 2H 1
      - Solution iii
    - iv 2H 1
      - Solution iv
  - 3K Paper 2 1
    - Solution 3K
  - 4F Paper 2 1
    - Solution 4F
  - 5J Paper 2 1
    - Solution 5J
  - 6E Paper 2 185 8
    - a 6E 1
      - Solution a
    - b 6E 1
      - Solution b
    - c 6E 1
      - Solution c
    - d 6E 1
      - Solution d
  - 7E Paper 2 248 16
    - a 7E 75 6
      - i a 1
      - ii a 1
      - iii a 1
    - b 7E 99 6
      - i b 1
      - ii b 1
      - iii b 1
    - c 7E 1
      - Solution c
  - 8D Paper 2 1
    - Solution 8D
  - 9B Paper 2 133 7
    - a 9B 48 4
      - i a 1
      - ii a 1
    - b 9B 1
      - Solution b
  - 10D Paper 2 1
    - Solution 10D
  - 11H Paper 2 374 14
    - a 11H 1
      - Solution a
    - b 11H 1
      - Solution b
    - c 11H 1
      - Solution c
    - d 11H 1
      - Solution d
    - e 11H 1
      - Solution e
    - f 11H 1
      - Solution f
    - g 11H 1
      - Solution g
  - 12K Paper 2 172 6
    - a 12K 1
      - Solution a
    - b 12K 1
      - Solution b
    - c 12K 1
      - Solution c
  - 13E Paper 2 108 4
    - a 13E 1
      - Solution a
    - b 13E 1
      - Solution b
  - 14D Paper 2 143 6
    - a 14D 1
      - Solution a
    - b 14D 1
      - Solution b
    - c 14D 1
      - Solution c
  - 15D Paper 2 159 4
    - a 15D 1
      - Solution a
    - b 15D 1
      - Solution b
  - 16G Paper 2 1
    - Solution 16G
  - 17G Paper 2 340 8
    - a 17G 1
      - Solution a
    - b 17G 1
      - Solution b
    - c 17G 1
      - Solution c
    - d 17G 1
      - Solution d
  - 18I Paper 2 200 9
    - a 18I 137 6
      - i a 1
      - ii a 1
      - iii a 1
    - b 18I 1
      - Solution b
  - 19I Paper 2 234 6
    - a 19I 1
      - Solution a
    - b 19I 1
      - Solution b
    - c 19I 1
      - Solution c
  - 20G Paper 2 1
    - Solution 20G
  - 21F Paper 2 177 6
    - a 21F 1
      - Solution a
    - b 21F 1
      - Solution b
    - c 21F 1
      - Solution c
  - 22H Paper 2 209 6
    - a 22H 1
      - Solution a
    - b 22H 1
      - Solution b
    - c 22H 1
      - Solution c
  - 23H Paper 2 112 4
    - a 23H 1
      - Solution a
    - b 23H 1
      - Solution b
  - 24F Paper 2 1
    - Solution 24F
  - 25I Paper 2 1
    - Solution 25I
  - 26F Paper 2 1
    - Solution 26F
  - 27H Paper 2 1
    - Solution 27H
  - 28K Paper 2 224 6
    - a 28K 1
      - Solution a
    - b 28K 1
      - Solution b
    - c 28K 1
      - Solution c
  - 29J Paper 2 229 6
    - a 29J 1
      - Solution a
    - b 29J 1
      - Solution b
    - c 29J 1
      - Solution c
  - 30K Paper 2 213 8
    - a 30K 1
      - Solution a
    - b 30K 1
      - Solution b
    - c 30K 1
      - Solution c
    - d 30K 1
      - Solution d
  - 31J Paper 2 145 4
    - a 31J 1
      - Solution a
    - b 31J 1
      - Solution b
  - 32A Paper 2 143 9
    - a 32A 43 4
      - i a 1
      - ii a 1
    - b 32A 1
      - Solution b
    - c 32A 1
      - Solution c
  - 33A Paper 2 234 6
    - a 33A 1
      - Solution a
    - b 33A 1
      - Solution b
    - c 33A 1
      - Solution c
  - 34D Paper 2 215 8
    - a 34D 1
      - Solution a
    - b 34D 1
      - Solution b
    - c 34D 1
      - Solution c
    - d 34D 1
      - Solution d
  - 35B Paper 2 99 4
    - a 35B 1
      - Solution a
    - b 35B 1
      - Solution b
  - 36B Paper 2 131 8
    - a 36B 1
      - Solution a
    - b 36B 1
      - Solution b
    - c 36B 1
      - Solution c
    - d 36B 1
      - Solution d
  - 37C Paper 2 156 7
    - a 37C 1
      - Solution a
    - b 37C 98 4
      - i b 1
      - ii b 1
  - 38C Paper 2 164 11
    - a 38C 1
      - Solution a
    - b 38C 1
      - Solution b
    - c 38C 64 4
      - i c 1
      - ii c 1
    - d 38C 1
      - Solution d
  - 39A Paper 2 143 4
    - a 39A 1
      - Solution a
    - b 39A 1
      - Solution b
  - 40A Paper 2 158 4
    - a 40A 1
      - Solution a
    - b 40A 1
      - Solution b
  - 41E Paper 2 133 4
    - a 41E 1
      - Solution a
    - b 41E 1
      - Solution b
- Paper 3 ii 7k 245
  - 1I Paper 3 1
    - Solution 1I
  - 2H Paper 3 154 4
    - i 2H 1
      - Solution i
    - ii 2H 1
      - Solution ii
  - 3K Paper 3 1
    - Solution 3K
  - 4F Paper 3 1
    - Solution 4F
  - 5J Paper 3 1
    - Solution 5J
  - 6E Paper 3 115 8
    - a 6E 1
      - Solution a
    - b 6E 1
      - Solution b
    - c 6E 1
      - Solution c
    - d 6E 1
      - Solution d
  - 7E Paper 3 132 8
    - a 7E 1
      - Solution a
    - b 7E 1
      - Solution b
    - c 7E 1
      - Solution c
    - d 7E 1
      - Solution d
  - 8D Paper 3 1
    - Solution 8D
  - 9B Paper 3 109 6
    - a 9B 1
      - Solution a
    - b 9B 1
      - Solution b
    - c 9B 1
      - Solution c
  - 10D Paper 3 1
    - Solution 10D
  - 11I Paper 3 1
    - Solution 11I
  - 12F Paper 3 262 6
    - i 12F 1
      - Solution i
    - ii 12F 1
      - Solution ii
    - iii 12F 1
      - Solution iii
  - 13E Paper 3 176 6
    - a 13E 1
      - Solution a
    - b 13E 1
      - Solution b
    - c 13E 1
      - Solution c
  - 14B Paper 3 155 6
    - a 14B 1
      - Solution a
    - b 14B 1
      - Solution b
    - c 14B 1
      - Solution c
  - 15D Paper 3 262 12
    - a 15D 136 4
      - i a 1
      - ii a 1
    - b 15D 126 6
      - i b 1
      - ii b 1
      - iii b 1
  - 16G Paper 3 234 4
    - a 16G 1
      - Solution a
    - b 16G 1
      - Solution b
  - 17G Paper 3 190 4
    - a 17G 1
      - Solution a
    - b 17G 1
      - Solution b
  - 18I Paper 3 1
    - Solution 18I
  - 19I Paper 3 251 12
    - a 19I 76 4
      - i a 1
      - ii a 1
    - b 19I 175 6
      - i b 1
      - ii b 1
      - iii b 1
  - 20F Paper 3 146 6
    - a 20F 1
      - Solution a
    - b 20F 1
      - Solution b
    - c 20F 1
      - Solution c
  - 21H Paper 3 278 8
    - a 21H 1
      - Solution a
    - b 21H 1
      - Solution b
    - c 21H 1
      - Solution c
    - d 21H 1
      - Solution d
  - 22H Paper 3 165 4
    - a 22H 1
      - Solution a
    - b 22H 1
      - Solution b
  - 23F Paper 3 237 6
    - a 23F 1
      - Solution a
    - b 23F 1
      - Solution b
    - c 23F 1
      - Solution c
  - 24I Paper 3 284 4
    - i 24I 1
      - Solution i
    - ii 24I 1
      - Solution ii
  - 25F Paper 3 1
    - Solution 25F
  - 26H Paper 3 1
    - Solution 26H
  - 27K Paper 3 196 6
    - a 27K 1
      - Solution a
    - b 27K 1
      - Solution b
    - c 27K 1
      - Solution c
  - 28J Paper 3 163 6
    - a 28J 1
      - Solution a
    - b 28J 1
      - Solution b
    - c 28J 1
      - Solution c
  - 29K Paper 3 175 6
    - a 29K 1
      - Solution a
    - b 29K 1
      - Solution b
    - c 29K 1
      - Solution c
  - 30A Paper 3 110 4
    - a 30A 1
      - Solution a
    - b 30A 1
      - Solution b
  - 31A Paper 3 313 8
    - a 31A 1
      - Solution a
    - b 31A 1
      - Solution b
    - c 31A 1
      - Solution c
    - d 31A 1
      - Solution d
  - 32D Paper 3 176 8
    - a 32D 1
      - Solution a
    - b 32D 1
      - Solution b
    - c 32D 1
      - Solution c
    - d 32D 1
      - Solution d
  - 33B Paper 3 145 6
    - a 33B 1
      - Solution a
    - b 33B 1
      - Solution b
    - c 33B 1
      - Solution c
  - 34B Paper 3 149 4
    - a 34B 1
      - Solution a
    - b 34B 1
      - Solution b
  - 35C Paper 3 160 8
    - a 35C 1
      - Solution a
    - b 35C 1
      - Solution b
    - c 35C 1
      - Solution c
    - d 35C 1
      - Solution d
  - 36C Paper 3 165 6
    - a 36C 1
      - Solution a
    - b 36C 1
      - Solution b
    - c 36C 1
      - Solution c
  - 37C Paper 3 203 11
    - a 37C 1
      - Solution a
    - b 37C 1
      - Solution b
    - c 37C 129 6
      - i c 1
      - ii c 1
      - iii c 1
  - 38A Paper 3 160 6
    - a 38A 1
      - Solution a
    - b 38A 1
      - Solution b
    - c 38A 1
      - Solution c
  - 39A Paper 3 187 8
    - a 39A 1
      - Solution a
    - b 39A 1
      - Solution b
    - c 39A 1
      - Solution c
    - d 39A 1
      - Solution d
  - 40E Paper 3 141 4
    - a 40E 1
      - Solution a
    - b 40E 1
      - Solution b
- Paper 4 ii 5k 256
  - 1I Paper 4 1
    - Solution 1I
  - 2H Paper 4 116 6
    - a 2H 1
      - Solution a
    - b 2H 1
      - Solution b
    - c 2H 1
      - Solution c
  - 3K Paper 4 1
    - Solution 3K
  - 4F Paper 4 96 6
    - i 4F 1
      - Solution i
    - ii 4F 1
      - Solution ii
    - iii 4F 1
      - Solution iii
  - 5J Paper 4 1
    - Solution 5J
  - 6E Paper 4 98 4
    - a 6E 1
      - Solution a
    - b 6E 1
      - Solution b
  - 7E Paper 4 116 7
    - a 7E 1
      - Solution a
    - b 7E 84 4
      - i b 1
      - ii b 1
  - 8D Paper 4 1
    - Solution 8D
  - 9B Paper 4 84 4
    - a 9B 1
      - Solution a
    - b 9B 1
      - Solution b
  - 10D Paper 4 86 6
    - a 10D 1
      - Solution a
    - b 10D 1
      - Solution b
    - c 10D 1
      - Solution c
  - 11I Paper 4 187 8
    - a 11I 1
      - Solution a
    - b 11I 1
      - Solution b
    - c 11I 1
      - Solution c
    - d 11I 1
      - Solution d
  - 12H Paper 4 1
    - Solution 12H
  - 13J Paper 4 103 8
    - a 13J 1
      - Solution a
    - b 13J 1
      - Solution b
    - c 13J 1
      - Solution c
    - d 13J 1
      - Solution d
  - 14E Paper 4 149 10
    - a 14E 1
      - Solution a
    - b 14E 1
      - Solution b
    - c 14E 1
      - Solution c
    - d 14E 1
      - Solution d
    - e 14E 1
      - Solution e
  - 15D Paper 4 117 8
    - a 15D 1
      - Solution a
    - b 15D 1
      - Solution b
    - c 15D 1
      - Solution c
    - d 15D 1
      - Solution d
  - 16G Paper 4 1
    - Solution 16G
  - 17G Paper 4 1
    - Solution 17G
  - 18I Paper 4 151 6
    - a 18I 1
      - Solution a
    - b 18I 1
      - Solution b
    - c 18I 1
      - Solution c
  - 19I Paper 4 150 9
    - a 19I 1
      - Solution a
    - b 19I 108 6
      - i b 1
      - ii b 1
      - iii b 1
  - 20G Paper 4 180 4
    - a 20G 1
      - Solution a
    - b 20G 1
      - Solution b
  - 21F Paper 4 69 4
    - a 21F 1
      - Solution a
    - b 21F 1
      - Solution b
  - 22H Paper 4 174 8
    - a 22H 1
      - Solution a
    - b 22H 1
      - Solution b
    - c 22H 1
      - Solution c
    - d 22H 1
      - Solution d
  - 23H Paper 4 119 4
    - a 23H 1
      - Solution a
    - b 23H 1
      - Solution b
  - 24I Paper 4 1
    - Solution 24I
  - 25F Paper 4 151 6
    - i 25F 1
      - Solution i
    - ii 25F 1
      - Solution ii
    - iii 25F 1
      - Solution iii
  - 26H Paper 4 1
    - Solution 26H
  - 27K Paper 4 141 6
    - a 27K 1
      - Solution a
    - b 27K 1
      - Solution b
    - c 27K 1
      - Solution c
  - 28J Paper 4 174 8
    - a 28J 1
      - Solution a
    - b 28J 1
      - Solution b
    - c 28J 1
      - Solution c
    - d 28J 1
      - Solution d
  - 29K Paper 4 165 8
    - a 29K 1
      - Solution a
    - b 29K 1
      - Solution b
    - c 29K 1
      - Solution c
    - d 29K 1
      - Solution d
  - 30J Paper 4 1
    - Solution 30J
  - 31A Paper 4 88 8
    - a 31A 1
      - Solution a
    - b 31A 1
      - Solution b
    - c 31A 1
      - Solution c
    - d 31A 1
      - Solution d
  - 32A Paper 4 149 9
    - a 32A 1
      - Solution a
    - b 32A 1
      - Solution b
    - c 32A 42 4
      - i c 1
      - ii c 1
  - 33B Paper 4 77 4
    - a 33B 1
      - Solution a
    - b 33B 1
      - Solution b
  - 34B Paper 4 185 11
    - a 34B 1
      - Solution a
    - b 34B 1
      - Solution b
    - c 34B 87 4
      - i c 1
      - ii c 1
    - d 34B 1
      - Solution d
  - 35C Paper 4 184 8
    - a 35C 1
      - Solution a
    - b 35C 1
      - Solution b
    - c 35C 1
      - Solution c
    - d 35C 1
      - Solution d
  - 36C Paper 4 93 6
    - a 36C 1
      - Solution a
    - b 36C 1
      - Solution b
    - c 36C 1
      - Solution c
  - 37C Paper 4 155 12
    - a 37C 128 4
      - i a 1
      - ii a 1
    - b 37C 27 6
      - i b 1
      - ii b 1
      - iii b 1
  - 38A Paper 4 151 8
    - a 38A 1
      - Solution a
    - b 38A 1
      - Solution b
    - c 38A 1
      - Solution c
    - d 38A 1
      - Solution d
  - 39A Paper 4 97 6
    - a 39A 1
      - Solution a
    - b 39A 1
      - Solution b
    - c 39A 1
      - Solution c
  - 40E Paper 4 106 4
    - a 40E 1
      - Solution a
    - b 40E 1
      - Solution b

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Paper 2

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Paper 3

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Paper 4

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Past exam of the mathematics course of the University of Cambridge / 2021 / ii

Paper 1

Paper 2

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 Ancestors (7)