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Past exam of the mathematics course of the University of Cambridge
/
2021
/
ii
/
Paper 4
...
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: 5k
Articles: 256
www.maths.cam.ac.uk/undergrad/pastpapers/files/2021/paperii_4_2021.pdf
Table of contents
5k
256
1I
Paper 4
69
1
Solution
1I
69
2H
Paper 4
116
6
a
2H
21
1
Solution
a
21
b
2H
48
1
Solution
b
48
c
2H
47
1
Solution
c
47
3K
Paper 4
94
1
Solution
3K
94
4F
Paper 4
96
6
i
4F
40
1
Solution
i
40
ii
4F
33
1
Solution
ii
33
iii
4F
23
1
Solution
iii
23
5J
Paper 4
75
1
Solution
5J
75
6E
Paper 4
98
4
a
6E
39
1
Solution
a
39
b
6E
59
1
Solution
b
59
7E
Paper 4
116
7
a
7E
32
1
Solution
a
32
b
7E
84
4
i
b
39
1
Solution
i
39
ii
b
45
1
Solution
ii
45
8D
Paper 4
90
1
Solution
8D
90
9B
Paper 4
84
4
a
9B
39
1
Solution
a
39
b
9B
45
1
Solution
b
45
10D
Paper 4
86
6
a
10D
12
1
Solution
a
12
b
10D
30
1
Solution
b
30
c
10D
44
1
Solution
c
44
11I
Paper 4
187
8
a
11I
35
1
Solution
a
35
b
11I
47
1
Solution
b
47
c
11I
39
1
Solution
c
39
d
11I
66
1
Solution
d
66
12H
Paper 4
80
1
Solution
12H
80
13J
Paper 4
103
8
a
13J
16
1
Solution
a
16
b
13J
29
1
Solution
b
29
c
13J
21
1
Solution
c
21
d
13J
37
1
Solution
d
37
14E
Paper 4
149
10
a
14E
29
1
Solution
a
29
b
14E
30
1
Solution
b
30
c
14E
30
1
Solution
c
30
d
14E
23
1
Solution
d
23
e
14E
37
1
Solution
e
37
15D
Paper 4
117
8
a
15D
15
1
Solution
a
15
b
15D
29
1
Solution
b
29
c
15D
29
1
Solution
c
29
d
15D
44
1
Solution
d
44
16G
Paper 4
125
1
Solution
16G
125
17G
Paper 4
163
1
Solution
17G
163
18I
Paper 4
151
6
a
18I
38
1
Solution
a
38
b
18I
59
1
Solution
b
59
c
18I
54
1
Solution
c
54
19I
Paper 4
150
9
a
19I
42
1
Solution
a
42
b
19I
108
6
i
b
41
1
Solution
i
41
ii
b
38
1
Solution
ii
38
iii
b
29
1
Solution
iii
29
20G
Paper 4
180
4
a
20G
66
1
Solution
a
66
b
20G
114
1
Solution
b
114
21F
Paper 4
69
4
a
21F
16
1
Solution
a
16
b
21F
53
1
Solution
b
53
22H
Paper 4
174
8
a
22H
34
1
Solution
a
34
b
22H
38
1
Solution
b
38
c
22H
36
1
Solution
c
36
d
22H
66
1
Solution
d
66
23H
Paper 4
119
4
a
23H
43
1
Solution
a
43
b
23H
76
1
Solution
b
76
24I
Paper 4
103
1
Solution
24I
103
25F
Paper 4
151
6
i
25F
49
1
Solution
i
49
ii
25F
41
1
Solution
ii
41
iii
25F
61
1
Solution
iii
61
26H
Paper 4
92
1
Solution
26H
92
27K
Paper 4
141
6
a
27K
45
1
Solution
a
45
b
27K
41
1
Solution
b
41
c
27K
55
1
Solution
c
55
28J
Paper 4
174
8
a
28J
26
1
Solution
a
26
b
28J
24
1
Solution
b
24
c
28J
52
1
Solution
c
52
d
28J
72
1
Solution
d
72
29K
Paper 4
165
8
a
29K
46
1
Solution
a
46
b
29K
38
1
Solution
b
38
c
29K
32
1
Solution
c
32
d
29K
49
1
Solution
d
49
30J
Paper 4
102
1
Solution
30J
102
31A
Paper 4
88
8
a
31A
27
1
Solution
a
27
b
31A
18
1
Solution
b
18
c
31A
25
1
Solution
c
25
d
31A
18
1
Solution
d
18
32A
Paper 4
149
9
a
32A
69
1
Solution
a
69
b
32A
38
1
Solution
b
38
c
32A
42
4
i
c
21
1
Solution
i
21
ii
c
21
1
Solution
ii
21
33B
Paper 4
77
4
a
33B
24
1
Solution
a
24
b
33B
53
1
Solution
b
53
34B
Paper 4
185
11
a
34B
25
1
Solution
a
25
b
34B
35
1
Solution
b
35
c
34B
87
4
i
c
46
1
Solution
i
46
ii
c
41
1
Solution
ii
41
d
34B
38
1
Solution
d
38
35C
Paper 4
184
8
a
35C
40
1
Solution
a
40
b
35C
31
1
Solution
b
31
c
35C
45
1
Solution
c
45
d
35C
68
1
Solution
d
68
36C
Paper 4
93
6
a
36C
38
1
Solution
a
38
b
36C
34
1
Solution
b
34
c
36C
21
1
Solution
c
21
37C
Paper 4
155
12
a
37C
128
4
i
a
67
1
Solution
i
67
ii
a
61
1
Solution
ii
61
b
37C
27
6
i
b
1
Solution
i
ii
b
1
Solution
ii
iii
b
27
1
Solution
iii
27
38A
Paper 4
151
8
a
38A
32
1
Solution
a
32
b
38A
37
1
Solution
b
37
c
38A
34
1
Solution
c
34
d
38A
48
1
Solution
d
48
39A
Paper 4
97
6
a
39A
25
1
Solution
a
25
b
39A
27
1
Solution
b
27
c
39A
45
1
Solution
c
45
40E
Paper 4
106
4
a
40E
39
1
Solution
a
39
b
40E
67
1
Solution
b
67
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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