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Past exam of the natural sciences course of the University of Cambridge
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2010
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University of Cambridge
Course of the University of Cambridge
Natural sciences course of the University of Cambridge
Past exam of the natural sciences course of the University of Cambridge
Created
2026-09-24
Updated
2026-09-24
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Table of contents
ia
2010
Paper 1
ia
1
Paper 1
Solution
1
2
Paper 1
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2
Solution
a
b
2
Solution
b
3
Paper 1
a
3
Solution
a
b
3
Solution
b
4
Paper 1
Solution
4
5
Paper 1
Solution
5
6
Paper 1
Solution
6
7
Paper 1
a
7
Solution
a
b
7
Solution
b
8
Paper 1
a
8
Solution
a
b
8
Solution
b
9
Paper 1
Solution
9
10
Paper 1
Solution
10
11
Paper 1
a
11
Solution
a
b
11
i
b
Solution
i
ii
b
Solution
ii
12
Paper 1
a
12
Solution
a
b
12
Solution
b
c
12
Solution
c
d
12
Solution
d
e
12
Solution
e
f
12
Solution
f
13
Paper 1
a
13
ii
a
Solution
ii
b
13
i
b
Solution
i
ii
b
Solution
ii
14
Paper 1
a
14
i
a
Solution
i
ii
a
Solution
ii
iii
a
Solution
iii
iv
a
Solution
iv
b
14
Solution
b
15
Paper 1
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Solution
a
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15
Solution
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16
Paper 1
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c
16
Solution
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d
16
Solution
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17
Paper 1
a
17
Solution
a
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17
Solution
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c
17
Solution
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18
Paper 1
a
18
i
a
Solution
i
ii
a
Solution
ii
b
18
Solution
b
19
Paper 1
a
19
Solution
a
b
19
Solution
b
c
19
Solution
c
20
Paper 1
a
20
i
a
Solution
i
ii
a
Solution
ii
b
20
Solution
b
c
20
i
c
Solution
i
ii
c
Solution
ii
Paper 2
ia
1
Paper 2
Solution
1
2
Paper 2
Solution
2
3
Paper 2
Solution
3
4
Paper 2
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4
5
Paper 2
Solution
5
6
Paper 2
Solution
6
7
Paper 2
Solution
7
8
Paper 2
Solution
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9
Paper 2
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10
Paper 2
Solution
10
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Paper 2
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11
Solution
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11
Solution
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c
11
Solution
c
12
Paper 2
a
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Solution
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c
12
Solution
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13
Paper 2
a
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a
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13
Solution
b
14
Paper 2
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ii
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14
i
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ii
b
Solution
ii
15
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17
Paper 2
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17
i
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ii
a
Solution
ii
b
17
Solution
b
c
17
i
c
Solution
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ii
c
Solution
ii
18
Paper 2
a
18
Solution
a
b
18
Solution
b
c
18
Solution
c
19
Paper 2
a
19
Solution
a
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19
Solution
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20
Paper 2
a
20
Solution
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20
Solution
b
c
20
Solution
c
ib
2010
Paper 1
ib
1
Paper 1
a
1
Solution
a
b
1
Solution
b
2
Paper 1
Solution
2
3
Paper 1
Solution
3
4
Paper 1
Solution
4
5
Paper 1
Solution
5
6
Paper 1
a
6
Solution
a
b
6
Solution
b
c
6
Solution
c
7
Paper 1
iv
7
Solution
iv
v
7
Solution
v
8
Paper 1
Solution
8
9
Paper 1
Solution
9
10
Paper 1
Solution
10
Paper 2
ib
1
Paper 2
ii
1
Solution
ii
iv
1
Solution
iv
2
Paper 2
Solution
2
3
Paper 2
Solution
3
4
Paper 2
Solution
4
5
Paper 2
i
5
Solution
i
ii
5
Solution
ii
iii
5
Solution
iii
iv
5
Solution
iv
6
Paper 2
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7
Paper 2
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8
Paper 2
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8
9
Paper 2
Solution
9
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2010
Paper 1
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ia
www.maths.cam.ac.uk/undergradnst/files/2010/PaperNST_IA_1.pdf
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Paper 1
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Paper 1
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2
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0
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2
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3
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Paper 1
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3
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3
Solution
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4
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Paper 1
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4
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Paper 1
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6
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Paper 1
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6
7
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Paper 1
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7
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8
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Paper 1
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0
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8
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9
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Paper 1
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10
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Paper 1
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10
11
0
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Paper 1
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11
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0
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b
0
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11
i
0
0
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b
Solution
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i
ii
0
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0
b
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0
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ii
12
0
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Paper 1
a
0
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12
Solution
0
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a
b
0
0
0
12
Solution
0
0
0
b
c
0
0
0
12
Solution
0
0
0
c
d
0
0
0
12
Solution
0
0
0
d
e
0
0
0
12
Solution
0
0
0
e
f
0
0
0
12
Solution
0
0
0
f
13
0
0
0
Paper 1
a
0
0
0
13
ii
0
0
0
a
Solution
0
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0
ii
b
0
0
0
13
i
0
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0
b
Solution
0
0
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i
ii
0
0
0
b
Solution
0
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0
ii
14
0
0
0
Paper 1
a
0
0
0
14
i
0
0
0
a
Solution
0
0
0
i
ii
0
0
0
a
Solution
0
0
0
ii
iii
0
0
0
a
Solution
0
0
0
iii
iv
0
0
0
a
Solution
0
0
0
iv
b
0
0
0
14
Solution
0
0
0
b
15
0
0
0
Paper 1
a
0
0
0
15
Solution
0
0
0
a
b
0
0
0
15
Solution
0
0
0
b
16
0
0
0
Paper 1
a
0
0
0
16
Solution
0
0
0
a
b
0
0
0
16
Solution
0
0
0
b
c
0
0
0
16
Solution
0
0
0
c
d
0
0
0
16
Solution
0
0
0
d
17
0
0
0
Paper 1
a
0
0
0
17
Solution
0
0
0
a
b
0
0
0
17
Solution
0
0
0
b
c
0
0
0
17
Solution
0
0
0
c
18
0
0
0
Paper 1
a
0
0
0
18
i
0
0
0
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Past exam of the natural sciences course of the University of Cambridge
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