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Past exam of the mathematics course of the University of Cambridge
/
2021
/
ii
/
Paper 3
...
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
2021
ii
OurBigBook.com
Words: 7k
Articles: 245
www.maths.cam.ac.uk/undergrad/pastpapers/files/2021/paperii_3_2021.pdf
Table of contents
7k
245
1I
Paper 3
123
1
Solution
1I
123
2H
Paper 3
189
4
i
2H
75
1
Solution
i
75
ii
2H
79
1
Solution
ii
79
3K
Paper 3
144
1
Solution
3K
144
4F
Paper 3
133
1
Solution
4F
133
5J
Paper 3
64
1
Solution
5J
64
6E
Paper 3
115
8
a
6E
35
1
Solution
a
35
b
6E
18
1
Solution
b
18
c
6E
30
1
Solution
c
30
d
6E
32
1
Solution
d
32
7E
Paper 3
132
8
a
7E
14
1
Solution
a
14
b
7E
20
1
Solution
b
20
c
7E
43
1
Solution
c
43
d
7E
55
1
Solution
d
55
8D
Paper 3
62
1
Solution
8D
62
9B
Paper 3
109
6
a
9B
59
1
Solution
a
59
b
9B
21
1
Solution
b
21
c
9B
29
1
Solution
c
29
10D
Paper 3
65
1
Solution
10D
65
11I
Paper 3
264
1
Solution
11I
264
12F
Paper 3
262
6
i
12F
163
1
Solution
i
163
ii
12F
33
1
Solution
ii
33
iii
12F
66
1
Solution
iii
66
13E
Paper 3
176
6
a
13E
93
1
Solution
a
93
b
13E
41
1
Solution
b
41
c
13E
42
1
Solution
c
42
14B
Paper 3
155
6
a
14B
36
1
Solution
a
36
b
14B
32
1
Solution
b
32
c
14B
87
1
Solution
c
87
15D
Paper 3
262
12
a
15D
136
4
i
a
65
1
Solution
i
65
ii
a
71
1
Solution
ii
71
b
15D
126
6
i
b
40
1
Solution
i
40
ii
b
21
1
Solution
ii
21
iii
b
65
1
Solution
iii
65
16G
Paper 3
234
4
a
16G
78
1
Solution
a
78
b
16G
156
1
Solution
b
156
17G
Paper 3
190
4
a
17G
122
1
Solution
a
122
b
17G
68
1
Solution
b
68
18I
Paper 3
86
1
Solution
18I
86
19I
Paper 3
251
12
a
19I
76
4
i
a
41
1
Solution
i
41
ii
a
35
1
Solution
ii
35
b
19I
175
6
i
b
64
1
Solution
i
64
ii
b
30
1
Solution
ii
30
iii
b
81
1
Solution
iii
81
20F
Paper 3
146
6
a
20F
35
1
Solution
a
35
b
20F
61
1
Solution
b
61
c
20F
50
1
Solution
c
50
21H
Paper 3
278
8
a
21H
63
1
Solution
a
63
b
21H
58
1
Solution
b
58
c
21H
68
1
Solution
c
68
d
21H
89
1
Solution
d
89
22H
Paper 3
165
4
a
22H
76
1
Solution
a
76
b
22H
89
1
Solution
b
89
23F
Paper 3
237
6
a
23F
68
1
Solution
a
68
b
23F
96
1
Solution
b
96
c
23F
73
1
Solution
c
73
24I
Paper 3
284
4
i
24I
153
1
Solution
i
153
ii
24I
131
1
Solution
ii
131
25F
Paper 3
187
1
Solution
25F
187
26H
Paper 3
98
1
Solution
26H
98
27K
Paper 3
196
6
a
27K
59
1
Solution
a
59
b
27K
67
1
Solution
b
67
c
27K
70
1
Solution
c
70
28J
Paper 3
163
6
a
28J
35
1
Solution
a
35
b
28J
51
1
Solution
b
51
c
28J
77
1
Solution
c
77
29K
Paper 3
175
6
a
29K
62
1
Solution
a
62
b
29K
32
1
Solution
b
32
c
29K
81
1
Solution
c
81
30A
Paper 3
110
4
a
30A
53
1
Solution
a
53
b
30A
57
1
Solution
b
57
31A
Paper 3
313
8
a
31A
99
1
Solution
a
99
b
31A
96
1
Solution
b
96
c
31A
63
1
Solution
c
63
d
31A
55
1
Solution
d
55
32D
Paper 3
176
8
a
32D
43
1
Solution
a
43
b
32D
34
1
Solution
b
34
c
32D
61
1
Solution
c
61
d
32D
38
1
Solution
d
38
33B
Paper 3
145
6
a
33B
23
1
Solution
a
23
b
33B
47
1
Solution
b
47
c
33B
75
1
Solution
c
75
34B
Paper 3
149
4
a
34B
89
1
Solution
a
89
b
34B
60
1
Solution
b
60
35C
Paper 3
160
8
a
35C
35
1
Solution
a
35
b
35C
39
1
Solution
b
39
c
35C
27
1
Solution
c
27
d
35C
59
1
Solution
d
59
36C
Paper 3
165
6
a
36C
51
1
Solution
a
51
b
36C
64
1
Solution
b
64
c
36C
50
1
Solution
c
50
37C
Paper 3
203
11
a
37C
34
1
Solution
a
34
b
37C
40
1
Solution
b
40
c
37C
129
6
i
c
43
1
Solution
i
43
ii
c
40
1
Solution
ii
40
iii
c
46
1
Solution
iii
46
38A
Paper 3
160
6
a
38A
45
1
Solution
a
45
b
38A
38
1
Solution
b
38
c
38A
77
1
Solution
c
77
39A
Paper 3
187
8
a
39A
69
1
Solution
a
69
b
39A
33
1
Solution
b
33
c
39A
52
1
Solution
c
52
d
39A
33
1
Solution
d
33
40E
Paper 3
141
4
a
40E
50
1
Solution
a
50
b
40E
91
1
Solution
b
91
Ancestors
(8)
Ii
2021
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
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