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Past exam of the mathematics course of the University of Cambridge
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2022
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University of Cambridge
Course of the University of Cambridge
Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
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Words: 61k
Articles: 2k
Table of contents
61k
2k
ia
2022
9k
278
Paper 1
ia
2k
78
1B
Paper 1
194
12
a
1B
140
6
b
1B
54
4
2B
Paper 1
182
7
a
2B
96
4
b
2B
1
3D
Paper 1
1
Solution
3D
4D
Paper 1
1
Solution
4D
5B
Paper 1
212
9
a
5B
131
6
b
5B
1
6B
Paper 1
173
9
a
6B
83
6
b
6B
1
7B
Paper 1
199
10
a
7B
1
b
7B
1
c
7B
1
d
7B
1
e
7B
1
8B
Paper 1
1
Solution
8B
9D
Paper 1
260
6
a
9D
1
b
9D
1
c
9D
1
10D
Paper 1
1
Solution
10D
11D
Paper 1
283
8
a
11D
1
b
11D
1
c
11D
1
d
11D
1
12D
Paper 1
1
Solution
12D
Paper 2
ia
2k
66
1A
Paper 2
1
Solution
1A
2B
Paper 2
1
Solution
2B
3F
Paper 2
1
Solution
3F
4F
Paper 2
1
Solution
4F
5C
Paper 2
166
4
a
5C
1
b
5C
1
6A
Paper 2
205
4
a
6A
1
b
6A
1
7C
Paper 2
181
6
a
7C
1
b
7C
1
c
7C
1
8B
Paper 2
272
4
a
8B
1
b
8B
1
9F
Paper 2
240
8
a
9F
1
b
9F
1
c
9F
1
d
9F
1
10F
Paper 2
116
8
a
10F
1
b
10F
1
c
10F
1
d
10F
1
11F
Paper 2
198
8
a
11F
1
b
11F
1
c
11F
1
d
11F
1
12F
Paper 2
192
8
a
12F
1
b
12F
1
c
12F
1
d
12F
1
Paper 3
ia
2k
37
1E
Paper 3
1
Solution
1E
2E
Paper 3
1
Solution
2E
3A
Paper 3
1
Solution
3A
4A
Paper 3
1
Solution
4A
5E
Paper 3
1
Solution
5E
6E
Paper 3
1
Solution
6E
7E
Paper 3
1
Solution
7E
8E
Paper 3
1
Solution
8E
9A
Paper 3
252
8
a
9A
1
b
9A
1
c
9A
1
d
9A
1
10A
Paper 3
1
Solution
10A
11A
Paper 3
196
4
i
11A
1
ii
11A
1
12A
Paper 3
234
4
a
12A
1
b
12A
1
Paper 4
ia
3k
93
1E
Paper 4
1
Solution
1E
2D
Paper 4
1
Solution
2D
3C
Paper 4
177
4
a
3C
1
b
3C
1
4C
Paper 4
140
7
a
4C
82
4
b
4C
1
5E
Paper 4
1
Solution
5E
6D
Paper 4
149
6
a
6D
1
b
6D
1
c
6D
1
7F
Paper 4
255
8
a
7F
1
b
7F
1
c
7F
1
d
7F
1
8F
Paper 4
403
11
a
8F
1
b
8F
199
6
c
8F
1
9C
Paper 4
296
13
a
9C
1
b
9C
1
c
9C
196
8
10C
Paper 4
206
6
a
10C
1
b
10C
1
c
10C
1
11C
Paper 4
221
12
a
11C
84
4
b
11C
137
6
12C
Paper 4
271
11
a
12C
1
b
12C
129
6
c
12C
1
ib
2022
12k
414
Paper 1
ib
4k
110
1F
Paper 1
104
4
a
1F
1
b
1F
1
2E
Paper 1
1
Solution
2E
3G
Paper 1
1
Solution
3G
4D
Paper 1
1
Solution
4D
5C
Paper 1
1
Solution
5C
6H
Paper 1
1
Solution
6H
7H
Paper 1
1
Solution
7H
8F
Paper 1
269
10
a
8F
128
4
b
8F
141
4
9E
Paper 1
1
Solution
9E
10G
Paper 1
254
10
a
10G
1
b
10G
1
c
10G
1
d
10G
1
e
10G
1
11E
Paper 1
369
8
a
11E
1
b
11E
1
c
11E
1
d
11E
1
12G
Paper 1
228
6
a
12G
1
b
12G
1
c
12G
1
13B
Paper 1
231
6
a
13B
1
b
13B
1
c
13B
1
14B
Paper 1
273
12
a
14B
1
b
14B
1
c
14B
1
d
14B
1
e
14B
1
f
14B
1
15D
Paper 1
204
4
a
15D
1
b
15D
1
16C
Paper 1
157
6
a
16C
1
b
16C
1
c
16C
1
17C
Paper 1
163
6
a
17C
1
b
17C
1
c
17C
1
18H
Paper 1
160
6
a
18H
1
b
18H
1
c
18H
1
19H
Paper 1
270
6
a
19H
1
b
19H
1
c
19H
1
Paper 2
ib
3k
90
1E
Paper 2
172
4
a
1E
1
b
1E
1
2G
Paper 2
1
Solution
2G
3B
Paper 2
1
Solution
3B
4D
Paper 2
1
Solution
4D
5C
Paper 2
81
6
a
5C
1
b
5C
1
c
5C
1
6H
Paper 2
149
4
a
6H
1
b
6H
1
7H
Paper 2
1
Solution
7H
8F
Paper 2
1
Solution
8F
9E
Paper 2
1
Solution
9E
10G
Paper 2
1
Solution
10G
11F
Paper 2
260
6
a
11F
1
b
11F
1
c
11F
1
12A
Paper 2
116
4
a
12A
1
b
12A
1
13D
Paper 2
193
7
a
13D
1
b
13D
123
4
14A
Paper 2
132
6
a
14A
1
b
14A
1
c
14A
1
15B
Paper 2
217
9
a
15B
1
b
15B
186
6
16D
Paper 2
214
9
a
16D
1
b
16D
172
6
17C
Paper 2
149
4
a
17C
1
b
17C
1
18H
Paper 2
159
6
a
18H
1
b
18H
1
c
18H
1
Paper 3
ib
3k
100
1E
Paper 3
1
Solution
1E
2F
Paper 3
120
4
a
2F
1
b
2F
1
3A
Paper 3
1
Solution
3A
4D
Paper 3
1
Solution
4D
5A
Paper 3
1
Solution
5A
6B
Paper 3
125
6
a
6B
1
b
6B
1
c
6B
1
7C
Paper 3
65
4
a
7C
1
b
7C
1
8H
Paper 3
100
4
a
8H
1
b
8H
1
9F
Paper 3
224
9
a
9F
1
b
9F
1
c
9F
107
4
10E
Paper 3
1
Solution
10E
11G
Paper 3
1
Solution
11G
12F
Paper 3
301
4
a
12F
1
b
12F
1
13G
Paper 3
1
Solution
13G
14A
Paper 3
247
11
a
14A
1
b
14A
175
8
15D
Paper 3
149
6
a
15D
1
b
15D
1
c
15D
1
16C
Paper 3
157
10
a
16C
1
b
16C
1
c
16C
1
d
16C
1
e
16C
1
17C
Paper 3
175
4
a
17C
1
b
17C
1
18H
Paper 3
181
8
a
18H
1
b
18H
1
c
18H
1
d
18H
1
19H
Paper 3
260
4
a
19H
1
b
19H
1
Paper 4
ib
3k
110
1F
Paper 4
1
Solution
1F
2G
Paper 4
1
Solution
2G
3G
Paper 4
1
Solution
3G
4B
Paper 4
101
6
a
4B
1
b
4B
1
c
4B
1
5D
Paper 4
112
6
a
5D
1
b
5D
1
c
5D
1
6C
Paper 4
77
4
a
6C
1
b
6C
1
7H
Paper 4
86
4
a
7H
1
b
7H
1
8F
Paper 4
1
Solution
8F
9E
Paper 4
176
4
a
9E
1
b
9E
1
10G
Paper 4
304
9
a
10G
1
b
10G
188
6
11E
Paper 4
223
8
a
11E
1
b
11E
1
c
11E
1
d
11E
1
12A
Paper 4
121
8
a
12A
1
b
12A
1
c
12A
1
d
12A
1
13D
Paper 4
122
6
a
13D
1
b
13D
1
c
13D
1
14B
Paper 4
113
9
a
14B
1
b
14B
1
c
14B
62
4
15B
Paper 4
139
9
a
15B
1
b
15B
100
6
16C
Paper 4
1
Solution
16C
17H
Paper 4
180
6
a
17H
1
b
17H
1
c
17H
1
18H
Paper 4
239
8
a
18H
1
b
18H
1
c
18H
1
d
18H
1
ii
2022
40k
1k
Paper 1
ii
8k
289
1I
Paper 1
1
Solution
1I
2G
Paper 1
1
Solution
2G
3K
Paper 1
143
4
a
3K
1
b
3K
1
4I
Paper 1
1
Solution
4I
5J
Paper 1
1
Solution
5J
6C
Paper 1
135
8
a
6C
1
b
6C
1
c
6C
1
d
6C
1
7E
Paper 1
1
Solution
7E
8B
Paper 1
87
4
a
8B
1
b
8B
1
9A
Paper 1
1
Solution
9A
10D
Paper 1
231
6
a
10D
1
b
10D
1
c
10D
1
11K
Paper 1
260
9
a
11K
1
b
11K
154
6
12I
Paper 1
1
Solution
12I
13J
Paper 1
241
8
a
13J
1
b
13J
1
c
13J
1
d
13J
1
14E
Paper 1
337
8
a
14E
1
b
14E
1
c
14E
1
d
14E
1
15A
Paper 1
168
8
a
15A
1
b
15A
1
c
15A
1
d
15A
1
16F
Paper 1
329
4
i
16F
1
ii
16F
1
17F
Paper 1
388
8
a
17F
1
b
17F
1
c
17F
1
d
17F
1
18H
Paper 1
243
4
a
18H
1
b
18H
1
19H
Paper 1
1
Solution
19H
20H
Paper 1
311
11
a
20H
1
b
20H
1
c
20H
160
6
21I
Paper 1
1
Solution
21I
22G
Paper 1
148
8
a
22G
1
b
22G
1
c
22G
1
d
22G
1
23G
Paper 1
1
Solution
23G
24F
Paper 1
284
8
a
24F
1
b
24F
1
c
24F
1
d
24F
1
25H
Paper 1
1
Solution
25H
26I
Paper 1
290
6
a
26I
1
b
26I
1
c
26I
1
27G
Paper 1
187
4
a
27G
1
b
27G
1
28J
Paper 1
175
11
a
28J
1
b
28J
128
8
29K
Paper 1
130
8
a
29K
1
b
29K
1
c
29K
1
d
29K
1
30K
Paper 1
119
6
a
30K
1
b
30K
1
c
30K
1
31J
Paper 1
390
17
a
31J
1
b
31J
110
4
c
31J
109
4
d
31J
122
4
32B
Paper 1
277
9
a
32B
1
b
32B
205
6
33E
Paper 1
188
4
a
33E
1
b
33E
1
34A
Paper 1
163
8
a
34A
1
b
34A
1
c
34A
1
d
34A
1
35D
Paper 1
183
6
a
35D
1
b
35D
1
c
35D
1
36A
Paper 1
229
15
a
36A
1
b
36A
1
c
36A
1
d
36A
85
6
e
36A
1
37B
Paper 1
218
10
a
37B
1
b
37B
1
c
37B
1
d
37B
1
e
37B
1
38D
Paper 1
151
6
a
38D
1
b
38D
1
c
38D
1
39C
Paper 1
269
10
a
39C
1
b
39C
1
c
39C
1
d
39C
1
e
39C
1
40C
Paper 1
303
11
a
40C
1
b
40C
1
c
40C
201
6
41C
Paper 1
187
8
a
41C
1
b
41C
1
c
41C
1
d
41C
1
Paper 2
ii
10k
275
1I
Paper 2
1
Solution
1I
2G
Paper 2
199
8
i
2G
1
ii
2G
1
iii
2G
1
iv
2G
1
3K
Paper 2
1
Solution
3K
4I
Paper 2
210
6
i
4I
1
ii
4I
1
iii
4I
1
5J
Paper 2
105
6
a
5J
1
b
5J
1
c
5J
1
6C
Paper 2
225
6
a
6C
1
b
6C
1
c
6C
1
7E
Paper 2
1
Solution
7E
8B
Paper 2
1
Solution
8B
9A
Paper 2
1
Solution
9A
10D
Paper 2
182
7
a
10D
1
b
10D
92
4
11G
Paper 2
267
8
i
11G
1
ii
11G
1
iii
11G
1
iv
11G
1
12K
Paper 2
344
4
a
12K
1
b
12K
1
13E
Paper 2
1
Solution
13E
14B
Paper 2
225
6
a
14B
1
b
14B
1
c
14B
1
15D
Paper 2
370
16
a
15D
147
6
b
15D
223
8
16F
Paper 2
240
13
a
16F
1
b
16F
128
10
17F
Paper 2
244
8
a
17F
1
b
17F
1
c
17F
1
d
17F
1
18H
Paper 2
312
4
a
18H
1
b
18H
1
19H
Paper 2
1
Solution
19H
20H
Paper 2
261
4
a
20H
1
b
20H
1
21I
Paper 2
1
Solution
21I
22G
Paper 2
281
6
a
22G
1
b
22G
1
c
22G
1
23G
Paper 2
1
Solution
23G
24F
Paper 2
283
6
a
24F
1
b
24F
1
c
24F
1
25H
Paper 2
1
Solution
25H
26I
Paper 2
1
Solution
26I
27G
Paper 2
160
4
a
27G
1
b
27G
1
28J
Paper 2
220
4
a
28J
1
b
28J
1
29K
Paper 2
280
10
a
29K
1
b
29K
1
c
29K
1
d
29K
1
e
29K
1
30K
Paper 2
241
6
a
30K
1
b
30K
1
c
30K
1
31J
Paper 2
225
8
a
31J
1
b
31J
1
c
31J
1
d
31J
1
32E
Paper 2
140
9
a
32E
65
6
b
32E
1
33B
Paper 2
390
9
a
33B
1
b
33B
275
6
34E
Paper 2
1
Solution
34E
35A
Paper 2
160
6
a
35A
1
b
35A
1
c
35A
1
36D
Paper 2
1
Solution
36D
37A
Paper 2
288
10
a
37A
1
b
37A
1
c
37A
1
d
37A
1
e
37A
1
38D
Paper 2
228
9
a
38D
120
4
b
38D
1
c
38D
1
39C
Paper 2
325
13
a
39C
1
b
39C
235
10
40C
Paper 2
381
13
a
40C
1
b
40C
1
c
40C
204
8
41C
Paper 2
241
12
a
41C
105
4
b
41C
136
6
Paper 3
ii
11k
255
1I
Paper 3
1
Solution
1I
2G
Paper 3
135
6
i
2G
1
ii
2G
1
iii
2G
1
3K
Paper 3
208
7
a
3K
1
b
3K
173
4
4I
Paper 3
215
4
i
4I
1
ii
4I
1
5J
Paper 3
1
Solution
5J
6C
Paper 3
293
8
a
6C
1
b
6C
1
c
6C
1
d
6C
1
7E
Paper 3
1
Solution
7E
8B
Paper 3
1
Solution
8B
9A
Paper 3
1
Solution
9A
10D
Paper 3
176
4
a
10D
1
b
10D
1
11I
Paper 3
364
13
a
11I
1
b
11I
225
6
c
11I
1
d
11I
1
12I
Paper 3
1
Solution
12I
13C
Paper 3
1
Solution
13C
14A
Paper 3
289
10
a
14A
1
b
14A
1
c
14A
1
d
14A
1
e
14A
1
15D
Paper 3
326
4
a
15D
1
b
15D
1
16F
Paper 3
409
11
Solution
16F
i
16F
1
ii
16F
1
iii
16F
1
iv
16F
1
v
16F
1
17F
Paper 3
501
8
a
17F
1
b
17F
1
c
17F
1
d
17F
1
18H
Paper 3
425
6
a
18H
1
b
18H
1
c
18H
1
19H
Paper 3
1
Solution
19H
20I
Paper 3
1
Solution
20I
21G
Paper 3
305
6
a
21G
1
b
21G
1
c
21G
1
22G
Paper 3
1
Solution
22G
23F
Paper 3
430
6
a
23F
1
b
23F
1
c
23F
1
24H
Paper 3
1
Solution
24H
25I
Paper 3
348
9
a
25I
1
b
25I
1
c
25I
189
4
26G
Paper 3
1
Solution
26G
27J
Paper 3
291
8
a
27J
1
b
27J
1
c
27J
1
d
27J
1
28K
Paper 3
175
8
a
28K
1
b
28K
1
c
28K
1
d
28K
1
29K
Paper 3
190
8
a
29K
1
b
29K
1
c
29K
1
d
29K
1
30E
Paper 3
237
7
a
30E
1
b
30E
149
4
31B
Paper 3
317
8
a
31B
1
b
31B
1
c
31B
1
d
31B
1
32E
Paper 3
1
Solution
32E
33A
Paper 3
328
8
a
33A
1
b
33A
1
c
33A
1
d
33A
1
34D
Paper 3
1
Solution
34D
35A
Paper 3
352
11
a
35A
1
b
35A
153
6
c
35A
1
36B
Paper 3
235
8
a
36B
1
b
36B
1
c
36B
1
d
36B
1
37D
Paper 3
241
6
a
37D
1
b
37D
1
c
37D
1
38C
Paper 3
534
12
a
38C
1
b
38C
1
c
38C
1
d
38C
1
e
38C
1
f
38C
1
39C
Paper 3
338
9
a
39C
1
b
39C
198
6
40C
Paper 3
352
6
a
40C
1
b
40C
1
c
40C
1
Paper 4
ii
10k
245
1I
Paper 4
1
Solution
1I
2G
Paper 4
1
Solution
2G
3K
Paper 4
1
Solution
3K
4I
Paper 4
1
Solution
4I
5J
Paper 4
1
Solution
5J
6C
Paper 4
266
8
a
6C
1
b
6C
1
c
6C
1
d
6C
1
7E
Paper 4
1
Solution
7E
8B
Paper 4
1
Solution
8B
9A
Paper 4
1
Solution
9A
10D
Paper 4
370
8
a
10D
1
b
10D
1
c
10D
1
d
10D
1
11I
Paper 4
410
7
a
11I
1
b
11I
271
4
12G
Paper 4
389
13
a
12G
156
8
b
12G
1
c
12G
1
13J
Paper 4
1
Solution
13J
14C
Paper 4
298
8
a
14C
1
b
14C
1
c
14C
1
d
14C
1
15B
Paper 4
1
Solution
15B
16F
Paper 4
476
9
a
16F
1
b
16F
336
6
17F
Paper 4
1
Solution
17F
18H
Paper 4
374
6
a
18H
1
b
18H
1
c
18H
1
19H
Paper 4
1
Solution
19H
20H
Paper 4
1
Solution
20H
21I
Paper 4
1
Solution
21I
22G
Paper 4
250
6
a
22G
1
b
22G
1
c
22G
1
23G
Paper 4
1
Solution
23G
24H
Paper 4
1
Solution
24H
25I
Paper 4
306
4
a
25I
1
b
25I
1
26G
Paper 4
1
Solution
26G
27J
Paper 4
186
7
a
27J
1
b
27J
121
4
28K
Paper 4
286
12
a
28K
1
b
28K
1
c
28K
1
d
28K
1
e
28K
1
f
28K
1
29K
Paper 4
277
8
a
29K
1
b
29K
1
c
29K
1
d
29K
1
30J
Paper 4
328
8
a
30J
1
b
30J
1
c
30J
1
d
30J
1
31E
Paper 4
212
8
i
31E
1
ii
31E
1
iii
31E
1
iv
31E
1
32B
Paper 4
347
6
a
32B
1
b
32B
1
c
32B
1
33A
Paper 4
226
6
a
33A
1
b
33A
1
c
33A
1
34D
Paper 4
241
6
a
34D
1
b
34D
1
c
34D
1
35A
Paper 4
376
15
a
35A
1
b
35A
137
6
c
35A
1
d
35A
1
e
35A
1
36B
Paper 4
323
6
a
36B
1
b
36B
1
c
36B
1
37D
Paper 4
250
11
a
37D
122
4
b
37D
70
5
38C
Paper 4
267
10
a
38C
1
b
38C
1
c
38C
1
d
38C
1
e
38C
1
39C
Paper 4
202
9
a
39C
1
b
39C
142
6
40C
Paper 4
281
7
a
40C
1
b
40C
210
4
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Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
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