NATIONAL SENIOR CERTIFICATE MATHEMATICS P2 GRADE 11 … · 2018. 1. 22. · Mathematics/P2 24...
Transcript of NATIONAL SENIOR CERTIFICATE MATHEMATICS P2 GRADE 11 … · 2018. 1. 22. · Mathematics/P2 24...
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LEARNER NAME
NATIONAL SENIOR CERTIFICATE
MATHEMATICS P2
GRADE 11
NOVEMBER 2014
SPECIAL ANSWER BOOK
QUESTION MARK INITIAL MOD.
1
2
3
4
5
6
7
8
9
10
TOTAL
This answer book consists of 24 pages.
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Mathematics/P2 2 DBE/November 2014
CAPS – Grade 11 – Answer Book
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QUESTION 1
1.1
Solution Marks
1.1.1
(2)
1.1.2
(1)
1.1.3
(2)
1.1.4
(2)
8 10 12 14 16 18 20 22 24 26 28 30 32 34 36
4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36
Supermarket
B
Supermarket
A
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1.2
10 15 20 x 30 35 15 31 32 21 x 27 28 29
Solution Marks
1.2
(3)
[10]
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QUESTION 2
Solution Marks
2.1
(1)
2.2
(2)
2.3
Temperature, T, in
degrees Celsius Frequency
19 T < 21
21 T < 23
23 T < 25
25 T < 27
27 T < 29
29 T < 31
(3)
0
5
10
15
20
25
30
17 19 21 23 25 27 29 31 33 35
Cu
mu
lati
ve
freq
uen
cy
Average daily temperature (in degrees Celsius)
Cumulative frequency graph of average daily temperature
recorded
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Solution Marks
2.4
(4)
[10]
0
2
4
6
8
10
12
17 19 21 23 25 27 29 31 33 35
Fre
qu
ency
Average daily temperature (in degrees Celsius)
Frequency polygon of temperature recorded
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QUESTION 3
x
y
Solution Marks
3.1
(2)
3.2
(2)
A(–9 ; 12)
B(9 ; 9)
C(–3 ; –9)
N(a ; 7)
R
O M P T
S
55
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Solution Marks
3.3
(4)
3.4
(5)
[13]
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QUESTION 4
Solution Marks
4.1
(3)
A(–8 ; 6)
D(3 ; 9)
K
B
C
O
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Solution Marks
4.2
(4)
4.3
(3)
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Solution Marks
4.4
(2)
4.5
(5)
[17]
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QUESTION 5
Solution Marks
5.1.1
(2)
5.1.2
(3)
5.2
(6)
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Solution Marks
5.3.1
(5)
5.3.2
(2)
5.4
(5)
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5.5
Solution Marks
5.5.1
(2)
5.5.2
(3)
O x
P( )3;x
Q(a ; b)
2
y
20
T
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Solution Marks
5.5.3
(5)
[33]
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QUESTION 6
Solution Marks
6.1
(3)
6.2
(2)
6.3
(2)
6.4
(2)
6.5
(2)
[11]
f g
0
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QUESTION 7
7.1
Solution Marks
7.1.1
(3)
7.1.2
(2)
7.1.3
(3)
A B
C
40° 110°
6
8
T
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7.2
Solution Marks
(6)
[14]
A
2
r
36°
B C
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GIVE REASONS FOR YOUR STATEMENTS AND CALCULATIONS IN QUESTIONS 8,
9 AND 10.
QUESTION 8
8.1
Solution Marks
8.1.1
(2)
8.1.2
(2)
M
P
S
T
O 2
1
1
2 37°
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8.2
Solution Marks
8.2.1
(3)
8.2.2
(3)
8.2.3
(3)
8.2.4
(2)
[15]
1 1
K
L
M O T 2
106°
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QUESTION 9
Solution Marks
9.1
(2)
9.2
(1)
9.3
(2)
1
1
1
1
2
2
2 2
2
1
3
4
K
L
M
N P
20°
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Solution Marks
9.4.1
(4)
9.4.2
(3)
[12]
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QUESTION 10
Solution Marks
10.1
(6)
P A T
B C
O
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10.2
Solution Marks
10.2.1(a)
(1)
10.2.1(b)
(1)
10.2.2
(4)
P
Q R
S
T
1
1 1
1
2
2 2
2 3
3
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Solution Marks
10.2.3
(3)
[15]
TOTAL: 150