GRADE 11 MATHEMATICS: MEMO MID-YEAR EXAMINATION JUNE 2019
GRADE 11
MATHEMATICS: MEMO MID-YEAR EXAMINATION
JUNE 2019
MARKS: 100
JUNE EXAMINATION 2012
This marking guideline consists of 12 pages.
Demo
NW/JUNE/MATH/ EMIS/6*******
Mathematics/ P2 QUESTION 1
Mid-Year Examination
NW/ Jun 2019
1.1
m y2 y1 x2 x1
mAB
1 4 1 3
3 4
1.2
3
2
a
;
4
2
2
0;1
3a 0 2
a 3
substitution
(2)
answer
3 a 0 2
answer (2) [4]
QUESTION 2
P
S
Q
R
2.1
mPR
5 3 42
4
y y1 m x x1 y 3 4 x 2
y 4x 11
T
m 4
substitution
answer
(3)
Demo
2
NW/JUNE/MATH/ EMIS/6*******
Mathematics/ P2
Mid-Year Examination
NW/ Jun 2019
2.2 mPQ tan 45 1
2.3
d x2 x1 2 y2 y1 2
PQ m 22 n 32
m2 4m 4 n2 6n 9
m2 4m n2 6n 13
tan 45
answer
(2)
substitution simplification
QR m 42 n 52
substitution
m2 8m 16 n2 10n 25
m2 8m n2 10n 41
(3)
2.4 PQ QR
m2 4m n2 6n 13 m2 8m n2 10n 41 PQ = QR
m2 4m n2 6n 13 m2 8m n2 10n 41
4m 6n 13 8m 10n 41
4m 16n 28
m 4n 7 ................... 1
m 4n 7
mPQ 1 n3 1 m2 n3 m2
m n 1 .................... 2
n3 1 m2
m n 1
Substitute 2 in 1 :
n 1 4n 7
3n 8
n8 3
m 8 1 3
11 3
Q
m
;
n
Q
11 3
;
8 3
substitution 3n 8
(6)
Demo
3
NW/JUNE/MATH/ EMIS/6*******
Mathematics/ P2
Mid-Year Examination
2.5
mQS mPR 1
mQS 4 1
mQS
1 4
y mx c
8 3
1 4
11 3
c
c7 4
y 1x7 44
2.6 tan QR^ T m
5
8 3
4
11 3
7
3 23
3 7
23
QR^ T
180
tan
1
7 23
180 16,93
163, 07
QRS 163, 07 45 118, 07
QPS 118, 07
NW/ Jun 2019
mQS
1 4
substitution
c7 4
answer
(4)
m 7 23
163, 07
for 45
QRS 118,07
answer
(5)
[23]
Demo
4
NW/JUNE/MATH/ EMIS/6*******
Mathematics/ P2
QUESTION 3 3.1
Mid-Year Examination
NW/ Jun 2019
3.1.1 r2 x2 y2 [Pyth]
OP2 82 152
289
3.1.2 (a) (b)
3.1.3
OP 17
tan y x
15 8
17 sin 180 cos( )
8
17 sin cos 8
17
15 17
1 8
8 17
256 17
tan 15 8
Ref 61,93
180 61,93
118,1
substitution
answer
(2)
answer
(1)
sin cos
substitution
answer
(4)
78, 07
answer
(2)
Demo
5
NW/JUNE/MATH/ EMIS/6*******
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