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Past exam of the mathematics course of the University of Cambridge
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2022
/
ii
...
List of universities
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
2022
OurBigBook.com
Words: 40k
Articles: 1k
Table of contents
40k
1k
Paper 1
ii
8k
289
1I
Paper 1
1
Solution
1I
2G
Paper 1
1
Solution
2G
3K
Paper 1
143
4
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3K
1
Solution
a
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3K
1
Solution
b
4I
Paper 1
1
Solution
4I
5J
Paper 1
1
Solution
5J
6C
Paper 1
135
8
a
6C
1
Solution
a
b
6C
1
Solution
b
c
6C
1
Solution
c
d
6C
1
Solution
d
7E
Paper 1
1
Solution
7E
8B
Paper 1
87
4
a
8B
1
Solution
a
b
8B
1
Solution
b
9A
Paper 1
1
Solution
9A
10D
Paper 1
231
6
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10D
1
Solution
a
b
10D
1
Solution
b
c
10D
1
Solution
c
11K
Paper 1
260
9
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11K
1
Solution
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11K
154
6
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b
1
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1
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1
12I
Paper 1
1
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12I
13J
Paper 1
241
8
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13J
1
Solution
a
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13J
1
Solution
b
c
13J
1
Solution
c
d
13J
1
Solution
d
14E
Paper 1
337
8
a
14E
1
Solution
a
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14E
1
Solution
b
c
14E
1
Solution
c
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14E
1
Solution
d
15A
Paper 1
168
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15A
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Solution
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15A
1
Solution
b
c
15A
1
Solution
c
d
15A
1
Solution
d
16F
Paper 1
329
4
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16F
1
Solution
i
ii
16F
1
Solution
ii
17F
Paper 1
388
8
a
17F
1
Solution
a
b
17F
1
Solution
b
c
17F
1
Solution
c
d
17F
1
Solution
d
18H
Paper 1
243
4
a
18H
1
Solution
a
b
18H
1
Solution
b
19H
Paper 1
1
Solution
19H
20H
Paper 1
311
11
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20H
1
Solution
a
b
20H
1
Solution
b
c
20H
160
6
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c
1
ii
c
1
iii
c
1
21I
Paper 1
1
Solution
21I
22G
Paper 1
148
8
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22G
1
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22G
1
Solution
b
c
22G
1
Solution
c
d
22G
1
Solution
d
23G
Paper 1
1
Solution
23G
24F
Paper 1
284
8
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1
Solution
a
b
24F
1
Solution
b
c
24F
1
Solution
c
d
24F
1
Solution
d
25H
Paper 1
1
Solution
25H
26I
Paper 1
290
6
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1
Solution
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26I
1
Solution
b
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26I
1
Solution
c
27G
Paper 1
187
4
a
27G
1
Solution
a
b
27G
1
Solution
b
28J
Paper 1
175
11
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28J
1
Solution
a
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28J
128
8
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b
1
ii
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b
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b
1
29K
Paper 1
130
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Solution
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1
Solution
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1
Solution
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29K
1
Solution
d
30K
Paper 1
119
6
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1
Solution
a
b
30K
1
Solution
b
c
30K
1
Solution
c
31J
Paper 1
390
17
a
31J
1
Solution
a
b
31J
110
4
i
b
1
ii
b
1
c
31J
109
4
i
c
1
ii
c
1
d
31J
122
4
i
d
1
ii
d
1
32B
Paper 1
277
9
a
32B
1
Solution
a
b
32B
205
6
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b
1
ii
b
1
iii
b
1
33E
Paper 1
188
4
a
33E
1
Solution
a
b
33E
1
Solution
b
34A
Paper 1
163
8
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34A
1
Solution
a
b
34A
1
Solution
b
c
34A
1
Solution
c
d
34A
1
Solution
d
35D
Paper 1
183
6
a
35D
1
Solution
a
b
35D
1
Solution
b
c
35D
1
Solution
c
36A
Paper 1
229
15
a
36A
1
Solution
a
b
36A
1
Solution
b
c
36A
1
Solution
c
d
36A
85
6
i
d
1
ii
d
1
iii
d
1
e
36A
1
Solution
e
37B
Paper 1
218
10
a
37B
1
Solution
a
b
37B
1
Solution
b
c
37B
1
Solution
c
d
37B
1
Solution
d
e
37B
1
Solution
e
38D
Paper 1
151
6
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38D
1
Solution
a
b
38D
1
Solution
b
c
38D
1
Solution
c
39C
Paper 1
269
10
a
39C
1
Solution
a
b
39C
1
Solution
b
c
39C
1
Solution
c
d
39C
1
Solution
d
e
39C
1
Solution
e
40C
Paper 1
303
11
a
40C
1
Solution
a
b
40C
1
Solution
b
c
40C
201
6
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c
1
ii
c
1
iii
c
1
41C
Paper 1
187
8
a
41C
1
Solution
a
b
41C
1
Solution
b
c
41C
1
Solution
c
d
41C
1
Solution
d
Paper 2
ii
10k
275
1I
Paper 2
1
Solution
1I
2G
Paper 2
199
8
i
2G
1
Solution
i
ii
2G
1
Solution
ii
iii
2G
1
Solution
iii
iv
2G
1
Solution
iv
3K
Paper 2
1
Solution
3K
4I
Paper 2
210
6
i
4I
1
Solution
i
ii
4I
1
Solution
ii
iii
4I
1
Solution
iii
5J
Paper 2
105
6
a
5J
1
Solution
a
b
5J
1
Solution
b
c
5J
1
Solution
c
6C
Paper 2
225
6
a
6C
1
Solution
a
b
6C
1
Solution
b
c
6C
1
Solution
c
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
Solution
a
b
10D
92
4
i
b
1
ii
b
1
11G
Paper 2
267
8
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11G
1
Solution
i
ii
11G
1
Solution
ii
iii
11G
1
Solution
iii
iv
11G
1
Solution
iv
12K
Paper 2
344
4
a
12K
1
Solution
a
b
12K
1
Solution
b
13E
Paper 2
1
Solution
13E
14B
Paper 2
225
6
a
14B
1
Solution
a
b
14B
1
Solution
b
c
14B
1
Solution
c
15D
Paper 2
370
16
a
15D
147
6
i
a
1
ii
a
1
iii
a
1
b
15D
223
8
i
b
1
ii
b
1
iii
b
1
iv
b
1
16F
Paper 2
240
13
a
16F
1
Solution
a
b
16F
128
10
i
b
1
ii
b
1
iii
b
1
iv
b
1
v
b
1
17F
Paper 2
244
8
a
17F
1
Solution
a
b
17F
1
Solution
b
c
17F
1
Solution
c
d
17F
1
Solution
d
18H
Paper 2
312
4
a
18H
1
Solution
a
b
18H
1
Solution
b
19H
Paper 2
1
Solution
19H
20H
Paper 2
261
4
a
20H
1
Solution
a
b
20H
1
Solution
b
21I
Paper 2
1
Solution
21I
22G
Paper 2
281
6
a
22G
1
Solution
a
b
22G
1
Solution
b
c
22G
1
Solution
c
23G
Paper 2
1
Solution
23G
24F
Paper 2
283
6
a
24F
1
Solution
a
b
24F
1
Solution
b
c
24F
1
Solution
c
25H
Paper 2
1
Solution
25H
26I
Paper 2
1
Solution
26I
27G
Paper 2
160
4
a
27G
1
Solution
a
b
27G
1
Solution
b
28J
Paper 2
220
4
a
28J
1
Solution
a
b
28J
1
Solution
b
29K
Paper 2
280
10
a
29K
1
Solution
a
b
29K
1
Solution
b
c
29K
1
Solution
c
d
29K
1
Solution
d
e
29K
1
Solution
e
30K
Paper 2
241
6
a
30K
1
Solution
a
b
30K
1
Solution
b
c
30K
1
Solution
c
31J
Paper 2
225
8
a
31J
1
Solution
a
b
31J
1
Solution
b
c
31J
1
Solution
c
d
31J
1
Solution
d
32E
Paper 2
140
9
a
32E
65
6
i
a
1
ii
a
1
iii
a
1
b
32E
1
Solution
b
33B
Paper 2
390
9
a
33B
1
Solution
a
b
33B
275
6
i
b
1
ii
b
1
iii
b
1
34E
Paper 2
1
Solution
34E
35A
Paper 2
160
6
a
35A
1
Solution
a
b
35A
1
Solution
b
c
35A
1
Solution
c
36D
Paper 2
1
Solution
36D
37A
Paper 2
288
10
a
37A
1
Solution
a
b
37A
1
Solution
b
c
37A
1
Solution
c
d
37A
1
Solution
d
e
37A
1
Solution
e
38D
Paper 2
228
9
a
38D
120
4
i
a
1
ii
a
1
b
38D
1
Solution
b
c
38D
1
Solution
c
39C
Paper 2
325
13
a
39C
1
Solution
a
b
39C
235
10
i
b
1
ii
b
1
iii
b
1
iv
b
1
i (final)
b
1
40C
Paper 2
381
13
a
40C
1
Solution
a
b
40C
1
Solution
b
c
40C
204
8
i
c
1
ii
c
1
iii
c
1
iv
c
1
41C
Paper 2
241
12
a
41C
105
4
i
a
1
ii
a
1
b
41C
136
6
i
b
1
ii
b
1
iii
b
1
Paper 3
ii
11k
255
1I
Paper 3
1
Solution
1I
2G
Paper 3
135
6
i
2G
1
Solution
i
ii
2G
1
Solution
ii
iii
2G
1
Solution
iii
3K
Paper 3
208
7
a
3K
1
Solution
a
b
3K
173
4
i
b
1
ii
b
1
4I
Paper 3
215
4
i
4I
1
Solution
i
ii
4I
1
Solution
ii
5J
Paper 3
1
Solution
5J
6C
Paper 3
293
8
a
6C
1
Solution
a
b
6C
1
Solution
b
c
6C
1
Solution
c
d
6C
1
Solution
d
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
Solution
a
b
10D
1
Solution
b
11I
Paper 3
364
13
a
11I
1
Solution
a
b
11I
225
6
i
b
1
ii
b
1
iii
b
1
c
11I
1
Solution
c
d
11I
1
Solution
d
12I
Paper 3
1
Solution
12I
13C
Paper 3
1
Solution
13C
14A
Paper 3
289
10
a
14A
1
Solution
a
b
14A
1
Solution
b
c
14A
1
Solution
c
d
14A
1
Solution
d
e
14A
1
Solution
e
15D
Paper 3
326
4
a
15D
1
Solution
a
b
15D
1
Solution
b
16F
Paper 3
409
11
Solution
16F
i
16F
1
Solution
i
ii
16F
1
Solution
ii
iii
16F
1
Solution
iii
iv
16F
1
Solution
iv
v
16F
1
Solution
v
17F
Paper 3
501
8
a
17F
1
Solution
a
b
17F
1
Solution
b
c
17F
1
Solution
c
d
17F
1
Solution
d
18H
Paper 3
425
6
a
18H
1
Solution
a
b
18H
1
Solution
b
c
18H
1
Solution
c
19H
Paper 3
1
Solution
19H
20I
Paper 3
1
Solution
20I
21G
Paper 3
305
6
a
21G
1
Solution
a
b
21G
1
Solution
b
c
21G
1
Solution
c
22G
Paper 3
1
Solution
22G
23F
Paper 3
430
6
a
23F
1
Solution
a
b
23F
1
Solution
b
c
23F
1
Solution
c
24H
Paper 3
1
Solution
24H
25I
Paper 3
348
9
a
25I
1
Solution
a
b
25I
1
Solution
b
c
25I
189
4
i
c
1
ii
c
1
26G
Paper 3
1
Solution
26G
27J
Paper 3
291
8
a
27J
1
Solution
a
b
27J
1
Solution
b
c
27J
1
Solution
c
d
27J
1
Solution
d
28K
Paper 3
175
8
a
28K
1
Solution
a
b
28K
1
Solution
b
c
28K
1
Solution
c
d
28K
1
Solution
d
29K
Paper 3
190
8
a
29K
1
Solution
a
b
29K
1
Solution
b
c
29K
1
Solution
c
d
29K
1
Solution
d
30E
Paper 3
237
7
a
30E
1
Solution
a
b
30E
149
4
i
b
1
ii
b
1
31B
Paper 3
317
8
a
31B
1
Solution
a
b
31B
1
Solution
b
c
31B
1
Solution
c
d
31B
1
Solution
d
32E
Paper 3
1
Solution
32E
33A
Paper 3
328
8
a
33A
1
Solution
a
b
33A
1
Solution
b
c
33A
1
Solution
c
d
33A
1
Solution
d
34D
Paper 3
1
Solution
34D
35A
Paper 3
352
11
a
35A
1
Solution
a
b
35A
153
6
i
b
1
ii
b
1
iii
b
1
c
35A
1
Solution
c
36B
Paper 3
235
8
a
36B
1
Solution
a
b
36B
1
Solution
b
c
36B
1
Solution
c
d
36B
1
Solution
d
37D
Paper 3
241
6
a
37D
1
Solution
a
b
37D
1
Solution
b
c
37D
1
Solution
c
38C
Paper 3
534
12
a
38C
1
Solution
a
b
38C
1
Solution
b
c
38C
1
Solution
c
d
38C
1
Solution
d
e
38C
1
Solution
e
f
38C
1
Solution
f
39C
Paper 3
338
9
a
39C
1
Solution
a
b
39C
198
6
i
b
1
ii
b
1
iii
b
1
40C
Paper 3
352
6
a
40C
1
Solution
a
b
40C
1
Solution
b
c
40C
1
Solution
c
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
Solution
a
b
6C
1
Solution
b
c
6C
1
Solution
c
d
6C
1
Solution
d
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
Solution
a
b
10D
1
Solution
b
c
10D
1
Solution
c
d
10D
1
Solution
d
11I
Paper 4
410
7
a
11I
1
Solution
a
b
11I
271
4
i
b
1
ii
b
1
12G
Paper 4
389
13
a
12G
156
8
i
a
1
ii
a
1
iii
a
1
iv
a
1
b
12G
1
Solution
b
c
12G
1
Solution
c
13J
Paper 4
1
Solution
13J
14C
Paper 4
298
8
a
14C
1
Solution
a
b
14C
1
Solution
b
c
14C
1
Solution
c
d
14C
1
Solution
d
15B
Paper 4
1
Solution
15B
16F
Paper 4
476
9
a
16F
1
Solution
a
b
16F
336
6
i
b
1
ii
b
1
iii
b
1
17F
Paper 4
1
Solution
17F
18H
Paper 4
374
6
a
18H
1
Solution
a
b
18H
1
Solution
b
c
18H
1
Solution
c
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
Solution
a
b
22G
1
Solution
b
c
22G
1
Solution
c
23G
Paper 4
1
Solution
23G
24H
Paper 4
1
Solution
24H
25I
Paper 4
306
4
a
25I
1
Solution
a
b
25I
1
Solution
b
26G
Paper 4
1
Solution
26G
27J
Paper 4
186
7
a
27J
1
Solution
a
b
27J
121
4
i
b
1
ii
b
1
28K
Paper 4
286
12
a
28K
1
Solution
a
b
28K
1
Solution
b
c
28K
1
Solution
c
d
28K
1
Solution
d
e
28K
1
Solution
e
f
28K
1
Solution
f
29K
Paper 4
277
8
a
29K
1
Solution
a
b
29K
1
Solution
b
c
29K
1
Solution
c
d
29K
1
Solution
d
30J
Paper 4
328
8
a
30J
1
Solution
a
b
30J
1
Solution
b
c
30J
1
Solution
c
d
30J
1
Solution
d
31E
Paper 4
212
8
i
31E
1
Solution
i
ii
31E
1
Solution
ii
iii
31E
1
Solution
iii
iv
31E
1
Solution
iv
32B
Paper 4
347
6
a
32B
1
Solution
a
b
32B
1
Solution
b
c
32B
1
Solution
c
33A
Paper 4
226
6
a
33A
1
Solution
a
b
33A
1
Solution
b
c
33A
1
Solution
c
34D
Paper 4
241
6
a
34D
1
Solution
a
b
34D
1
Solution
b
c
34D
1
Solution
c
35A
Paper 4
376
15
a
35A
1
Solution
a
b
35A
137
6
i
b
1
ii
b
1
iii
b
1
c
35A
1
Solution
c
d
35A
1
Solution
d
e
35A
1
Solution
e
36B
Paper 4
323
6
a
36B
1
Solution
a
b
36B
1
Solution
b
c
36B
1
Solution
c
37D
Paper 4
250
11
a
37D
122
4
i
a
1
ii
a
1
b
37D
70
5
i
b
1
ii
b
1
Solution
b
38C
Paper 4
267
10
a
38C
1
Solution
a
b
38C
1
Solution
b
c
38C
1
Solution
c
d
38C
1
Solution
d
e
38C
1
Solution
e
39C
Paper 4
202
9
a
39C
1
Solution
a
b
39C
142
6
i
b
1
ii
b
1
iii
b
1
40C
Paper 4
281
7
a
40C
1
Solution
a
b
40C
210
4
i
b
1
ii
b
1
Ancestors
(7)
2022
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
List of universities
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