# Mathematics Grade 11 Paper 2 Eastern Cape November 2017 Memo

> Grade 11 Mathematics Paper 2 memorandum from the Eastern Cape November Exam 2017, 20 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/maths-p2-memo/c06984f7-d20b-495e-a052-8c263ecbe833
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 11
- Document type: Memorandum
- Year: 2017
- Exam period: Eastern Cape November Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 20

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 11](https://www.hlayiso.com/library/grade-11) › [Mathematics](https://www.hlayiso.com/library/grade-11/mathematics) › [Mathematics Grade 11 Paper 2 Eastern Cape November 2017 Memo](https://www.hlayiso.com/library/maths-p2-memo/c06984f7-d20b-495e-a052-8c263ecbe833)

## About this document

Mathematics · Grade 11 · Eastern Cape November Exam · 2017. Memorandum, 20 pages. Read online or download the PDF.

Read it free online on the page above; download the PDF from there.

## Document text

Text extracted from the PDF. Layout, diagrams and tables may not survive extraction.

### Page 1

Downloaded from hlayiso.com

“=e basic education

| aa Department:
Os Basic Education
SZ REPUBLIC OF SOUTH AFRICA

| NATIONAL
SENIOR CERTIFICATE

NASIONALE
SENIOR SERTIFIKAAT

GRADE/GRAAD 11

|
SS ce sas yas 5S Sm ee ae |
7 MATHEMATICS P2/WISKUNDE V2 bt
i ii
i NOVEMBER 2017 .
i
i "
Hy MARKING GUIDELINES/NASIENRIGL YNE A
WEerrrrrerretitrrrrrerrerrrrrrrrrerrerrrrrreree
MARKS/PUNTE: 150 | DEPARTMENT OF BASIC |
| epucation |

PRIVATE BAG X395, PRETORIA 6001 |
2017 -il- 15

APPROVED MARKING GUIDELINE |
XAMINATION |

Bad

These marking guidelines consist of 20 pages.
Hierdie nasienriglyne bestaan uit 20 bladsye.

Govonde!

is|n| 207

Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief |

### Page 2

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 2 DBE/November 2017
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienrigiyne

NOTE:
Ifa candidate answered a question TWICE, mark only the FIRST attempt.

e Ifacandidate crossed out an answer and did not redo it, mark the crossed-out answer.

e Consistent accuracy applies to ALL aspects of the marking guidelines.

e Assuming values/answers in order to solve a problem is unacceptable.

LET WEL:

e As 'n kandidaat 'n vraag TWEE keer beantwoord het, sien slegs die EERSTE poging na.

e As 'n kandidaat 'n antwoord deurgehaal en nie oorgedoen het nie, sien die deurgehaalde
antwoord na.

Volgehoue akkuraatheid is op ALLE aspekte van die nasienriglyne van toepassing.
Dit is onaanvaarbaar om waardes/antwoorde te veronderstel om 'n probleem op te los.

QUESTION/VRAAG 1

10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 61 66

1.1.1 | min =12 ¥ min + max
Q, =17 Y median, Q, and/en Q,
Q, = median /mediaan = 30 @)
OQ, =38
max = 65
1.1.2 | JOR=0,-Q, ¥ answer/antw
=38-17 @)
=21
1.1.3 | Skewed to the right OR positively skewed ¥ answer/antw
Skeef na regs OF positief skeef ql)
[5 (8 [to [17 [20 [29 | 32 | 48 | 50 [50 [63 |» |107 |
12-1 | Mean/Gemiddeld = 439+
creer ors 7
41-394 ig ls ws | vty
13 2 a)
gq fe iis
= & Sic
439+ y =533 nz pw B $ Y answer/antw
yaa Cre 28! @)
1.2.2 | o = 30,94 nals = & rf ¥ answer/antw
eal Fae ()
wait o> et
G@ fe gi
ag =i"
Copyright reserved/Kopiereg voorbehou ~ we—nonnwewonDease turn over/Blaai om asseblief

### Page 3

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne

3

DBE/November 2017

1.2.3 41x13 = 533
18x6=108
: ¥ 108
Overall mean time : Y 533 +108 = 641
v
533 +108 _ O41 = 33,74 answer/antw
19 19 3)
[10]
QUESTION/VRAAG 2
2.1 CUMULATIVE
AGE OF PERSON FREQUENCY/
SURVEYED/OUDERDOM FREQUENCY/FREKWENSIE KUMULATIEWE
VAN PERSOON IN OPNAME FREKWENSIE
20 <x<30 7 7
30 <x<40 20 27
40 <x <50 25 52
50<x<60 12 64
60<x<70 72 ¥ 20, 12
70 <x<80 76 ¥ 34
80 <x<90 4 80 V16
(4)
2.2 |n=80 ¥ answ/antw
ay
2.3 | 40<x<50 ¥ answ/antw
Q) |

Copyright reserved/Kopiereg voorbehou

[SEPARTMENT OF BASIC |
{ 3 LOM i

PRIVATE BAG KGOS, PRETORIA 0CO1

| or tie t5 |

|
|_APPROVED MARKING GUIDELINE |
Serctrysc tet

i

Please turn over/Blaai om asseblief

### Page 4

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 4 DBE/November 2017
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne

24 &F = = =
Ogive/Ogief
90 r : i Em A eM a ieee em 7 | ¥ Grounding (20; 0)
i chor | IGeanker by (20; 0)
80 Y upper limits/
boonste limiete
¥ shape
(smooth curve)/
3 60 vorm
5 (gladde kurwe)
3
§ 50° | @)
Ry
S
340 4 |
s
=
530
EY
g 20
Hs
=
210
B=}
s
-n
oS 6 10 20 30 40 50 60 7 80 90 100
Age of person surveyed/Ouderdom van persoon in opname
2.5 | 80-58=22 Accept/aanvaar: 56 — 59 calls/oproepe “58
22 calls/oproepe
— x 100 = 27,5% v22
80 ¥ 27,5%
GQ)
[12]

‘NOWVNINVRS SMTi
BNITZGIND ONIMNVH GBACudaY

Gh -H- diez

hh ‘ 1000 WINO1SMe ‘sa:
{ewrmennstenitmeerenrve rere sta
BEHE Le

MSIE AG Lt

Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

### Page 5

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2

5

DBE/November 2017

CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne

QUESTION/VRAAG 3
c
B
T
15
x
fe) Ww
A(-2 ; -5)
3.1 1 ¥ Standard
BD yaryet9 form/vorm
1
Msp et
Y answ/antw
“Myo =2 2)
3.2 yy =m(x-X,) ’ «wb (2:-5)
—(—-5) =2(x—(-2 subst (-2 ; —
¥-€9)=2e-2) Y answ/antw
y=2x-1 Q)
3.3 1 1
2x-1=-2x+9 OR/OF 2y+x=18 ¥ Ix-1=-Fx4+9
5 A(2x-1)+x=18 V xa4
2x=10
2* 4x-24+x=18
x=4 5x=20 VY y=7 (3)
x=4
y=2(4)-1 y=2(4)-1 OR/OF
=7 =7
* * ¥ 2(02x-1)+x=18
T(4;7) T(4;7) V xa
V y=7

(3)

Copyright reserved/Kopiereg voorbehou

SC
DEPARTMENT OF BASIC
—. EDR CATION ‘|

PRIVATE BAG Xag5, PRETORIA 0001 }

207 -t1- 15

APPROVED MARKING GUIDELINE |
[goes cones |

### Page 6

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 6
CAPS/KABV ~— Grade/Graad 11 — Marking guidelines/Nasienrighyne

DBE/November 2017

3.4.1 _—24+x
2
8=-2
+ Y x=10
x=10
—5+y
J=
2
14=-5+y Y y=19
y=19 Q)
C(10 ;19)
3.4.2 ~ a_(o\P 2 (5) ¥ subst. in
Ar = (4-2) +75) distance/afstand
=¥180 form.
_ _ ¥ answer/antw
=6V5 = 13,42 in any form
BI? +AT? =AB’ (Pythagoras)
Br = 15" -(visoy Y subst. in pyth
= 45 Y answer/antw
=3V5 =6,71
(4)
3.4.3 | BC is the diameter/ middellyn [subt. right / ondersp. reg Z| ot/o,
[conv.Z4 in semi -circle/omgk. Z° in halfsirkel|
. 15 :
=—= ti .
Radius 5 7,5 units/ eenh. VV answlantw
@)
[15]

Copyright reserved/Kopiereg voorbehou

DEPARTMENT OF BASIC |
}__SevcArnion
PRIVATE BAG X896, PRETORIA 0004

207 -1l- 15
APPROVED MARKING GUIDELINE

PUBLIC EMAMIMATIOTS

Please turn over/Blaai om asseblief

### Page 7

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2

7

DBE/November 2017
CAPS/KABV ~ Grade/Graad 11 — Marking guidelines/Nasienrighyne

QUESTION/VRAAG 4
B(4; 12)
8
A c
ACS5;-3)
4.1 12-—(-3)_5 Y subst. in
ap 4-(-5) 3 gradient form.
OR/OF ———T1 Y answ/antw
if i i
~3-12 5 2 |g wl) @)
5-43 4 |g ao
Bo nm Bist
4.2 5 \oQieg “ots Y equation/verg.
y-12=7(x-4) hele = an eq &.
0-12=3(x-4) “a 3 go v y=0
a8 eS!
x—_16 Rig. £2
5 ale |
n{ 16.9 a or Y answ/antw
5° (3)
OR/OF
Q- 3 O+3_5 ¥ equating/verg.
x-4 3 x+5 3 vy=0
—36 =5x-20 9=5x+25 ,
—16=5x —16 =5x
-16 —16
xa > Y answ/antw
@)
5

Copyright reserved/Kopiereg voorbehou

Please turn over/Blaai om asseblief

### Page 8

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2

8 DBE/November 2017
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne
4.3 | tana=m,, ¥ tana =>
tana= 2 NOTELET WEL:
° Penalty 1 mark for incorrect ¥a=59°
a=59 rounding (2)
Penalisering 1 punt vir
verkeerde afronding
44 BCX =76°+59°=135° [ext Zof A]
¥ 135°
tan135° = m,,.
Myc =-1= my, ¥ tan135° = myo
¥ answer/antw
y-(-3)=-1(e~(5)) Y subst (-3 ;-5)
y=-x-8 Y answer/antw
(3)
[12]
QUESTION/VRAAG 5
5.1 sin(90° — x).cos(180° +x)+1an x. cosx. sin(x-180°) ¥ cosx
: v — cosx
sinx : :
=cosx. (—cos x) + ——. cosx. (—sinx) y Sinx
cosx
> - cos x
=—cos* x—sin* x Y _ sing
=~(cos* x + sin? x) ¥ common
=-1 factor/gemene fakt.
i Tt TI Y identity/identiteit
2 8 PAPA (6)
5.2 sin 315°. tan 210°.sin1 90° < |¢ me |
LHs =Sis'o tans ale @)5! age
cos 100°.sin 120° wzie 2 Ble) |v ~sinds
+n45°) (tan30° \(_ sin10° o2le Sis) | ¥ tan30°
_ sin45°) (tan30° )(- sin10°) Saree ae ¥ —sinl0°
(-sin10°}(sin 60° ) ace ait v¥ —sinl0°
Sais = =! . ‘°
11 ag @ alg v sin 60
a at ar Y subst. of special
= B a is S15 angles/inverv. van
N3 a ff eo sp hoeke
2 A i
-%2 )
3

Gr

Copyright reserved/Kopiereg voorbehou

Please turn over/Blaai om asseblief

### Page 9

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 9 DBE/November 2017
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienrighyne
a”
R
(a D¥« ,
fo) T x
P
5.3.1 x’>+y? =r? — [Pythagoras] y .
(x)? +)? =3? subst in pyth
x =16 Vx=4
x=4
tana = 3
Y answer/antw
3)
§.3.2 sinB
=sin(180° +a) ¥ B= 180° +0
: Y -sina
=-sinn
_73 ¥ answer/antw
5 @)

Copyright reserved/Kopiereg voorbehou

| TGs Cou :
ee |

| APPROVED mal

RKING GUIDE!

Please turn over/Blaai om asseblief

### Page 10

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 DBE/November 2017
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne
333 Y__~3k vz v2
10k 5k 10 OR/OF 10k
y=-6k yo vk
“x =-8k 5 5k
P(-8k;-6k
( ) Vy=-6 Vy=-6k
VYx=-8 Vx=-8k
(4)
5.4. _ sin@—tan9.cos’0
cos@ —(1—sin’@) .
. sind 2 v Sind
sin® ———.cos*0 cos
= cos® 5 Y cos? @
cos 6 — cos“
. ¥ common fact/
_sin (1 - cos0) gemene fakt.
cos (1 - cos0) ¥ common fact/
=tan0 gemene fakt.
=RHS
(4)
OR/OF
sin 0—tan@.cos?6
LHS = :
cos0—1+(1—cos? @) y sind
: sind 2 cos a
sin® — os 8 Y 1-cos’? 6
= cos 5 ¥ common fact/
cos@—cos"® gemene fakt.
_ sin@(1 — cos) ¥ common fact/
cosO(I - cos) gemene fakt.
=tand
(4)
=RHS [26]

Copyright reserved/Kopiereg voorbehou

DEPARTMENT OF BASIcC
EDUCATHSN

PRIVATE BAG K895, PRETORIA GUCt

2017 -11- 15
APPROVED MARKING GUIDELINE |

ARMNATION |

Please turn over/Blaai om asseblief

### Page 11

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 11
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienrighyne

QUESTION/VRAAG 6

DBE/November 2017

6.1

sin(x — 30°) =cos 2x

sin(x—30°)=sin(90° — 2x)

x—30° =90° —2x+360°K or x-—30° =180° —(90° —2x)+360k
3x=120° +360°K —x=120° +360°K

x=40° +120°k x=-120°+360°k ke Z

NOTE/LET WEL:
X =—120°+£.360° is equivalent to/ekwivalent aan x = 240° + k.360°

OR/OF

cos(90° - (x —30° )= cos 2x

cos(120° - x)= cos 2x

120° -—x=2x+360°R or 120° -x=-2x+360°K
—3x =-120° +360°k x =~120°+ 360°
x=40° +120°k, ke Z

¥ sin(90° —2x)

Y 5-30" =90° —2x+360°%%

¥ x=40°+120°k
¥
x-30° =180" (90° ~2x)+360k

Y x=-120° +360"
(5)
Y cosf90° —(x - 30°}

v

120° -x=2x+360°
¥ x=40° +120° k
v

120° — x =-2x+360°K
¥ x=240° +360°K

6)

6.2.1 | 180° Y answer/antw (1)
6.2.2 -Isy<l ¥ values/waardes
¥ notation/notasie

OR/OF Q)
Y values/waardes
yel-L 1] ¥ notation/notasie

Q)

Copyright reserved/Kopiereg voorbehou

| SEPARTMENT OF BASIC:
EEE AT

PRIVATE BAG X295, PRETORIA 2007
207 “Mr 15
GS APPROVED MARKING GUIDELINE |
f

PUBLIC EMANATES

Please turn over/Blaai om asseblief

### Page 12

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 12 DBE/November 2017
CAPS/KABV - Grade/Graad 11 — Marking guidelines/Nasienriglyne
623. | Sy
| / : / | _ | ¥ x- intercept
| | | | | \_ | atlafinit by 30°
| | ; ; | | | ¥ shape off
i | | f
| i | i | vorm van
i ——- 105) vTP /DP
pot |
| H | | \ 3|g
60° 90° 1207 150° 18 Y shape
of/vorm van g
v TP /DP
(5)
6.24 | y=-80" x= 40° ; x=160° vv vone
mark per
answer/een
punt per
antw.(3)
[16]
QUESTION/VRAAG 7 fo le w| 3 |
. 13 Bie
* Bw Ze
a ao = ‘1
o& =
* Fa pare
ie
=
7A x? =(2x) +BY —2(2x\3)cos® ¥ cos rule
> Y subst
12xcos0 =3x° +9
0= 3x? +9
cose = 12x v simplifyiverceny
2
coso = 2_*3) #3)
2x
2
cos =~ +3
4x

Copyright reserved/Kopiereg voorbehou

Please turn over/Blaai om asseblief

### Page 13

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 13 DBE/November 2017
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienrighyne

721 2 ¥ subst
cos0 = (2,4) +3
4(2,4)
6=Be09
Cos = = 0.9125 Y cosO =0,9125
0 =2415° -B
80
Y answer/antw.
(3)
i22 Area of/van APQR = ; xPQx QR xsinQ
= 5 *48x3xsin2415 v subst
= 2,95 units/eenh? Y answer/antw.
(2)
73

2x+x >3and x+3>2x

x>1 and x <3 vy

2x+x>3andx+3>2x

OR/OF ¥Vx>1 and x3

For/vir x>0, cos@>0 243
0°<8<90° vV0<>

x2 43 Ax
<l

<1

O<
4x

x? 43x<4x
x? —4x43<0
(x-1)-3) <0

1<x<3

V¥V1<x<3
(4)

[12]

DEPAROMENT OF BASIC |
EDUCATION

207 Ale 15

APPROVED MARKING GUIDELINE
PUBLIC EXAMINATION

Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

### Page 14

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne

14

DBE/November 2017

QUESTION 8/VRAAG 8
8.1 1 v
V =—Ah Area of square/van
7 ; = (16x16)
640 = —x(16x16)xh Kile
3 Subst in volume
h=7,5em form
= 2)
8.2 . . _e_ 2, 92 _ Subst in pyth
slant height / skuinshoogte=s = 7,5° +8? =10,9658.... V answer/antw
¥ Subst in SA/
. . ; 1 BO form.
Total surface/Totale buite area = (side x side)+ 3 xs Y answer/antw
=(16x16)+ 4{$x16x109658... (4)
2 [6]
= 606,91cm?
QUESTION 9/VRAAG 9
on TY
Q |g wi |
4 z 3 |
nzie 2 BiSi
O22 glk:
pas zis
bye = |
efi SL)
goa & Big)
es a Shad
& {2 a.}2
| oe oe ES
9.1 Construction/Konstr: Draw/irek radii OR and/en OS ¥ Constr/Konstr
In AOTR and/en AOTS
OR=O8 | (radii
(radii) YS (OTis
OT=OT (common side/ gemene sy) common/gemeen)
f. =F, =90° (z on straight line/ op 'n reguit lyn ) YSIR
AOTR = AOTS (90° HS) v
v RT =TS vs
(G)

Copyright reserved/Kopiereg voorbehou

Gr

Please turn over/Blaai om asseblief

### Page 15

Downloaded from hlayiso.com
Mathematics P2/Wiskunde V2 15 DBE/November 2017
CAPS/KABV -— Grade/Graad 11 — Marking guidelines/Nasienriglyne
F
A 4 4 B
LI
8-x
(6)
8-—x
D
9.2 line fr tre 1 ¥S/R
AF = FR =4em ine from centre 1 to chord/ van
lyn van mdpt aan koord

OD =OB= 8-x (radii)

1B’ = OF? + FB? (Pythagoras)

(8-x)? =x? +4
64-l6x+x? =x? +4?
48=16x
x=3
length off lengte van radius =8-—x
=8-3
=5 units /eenh

¥ (8—x) =x? +4?

v Answer/antw

G)
[10]

Copyright reserved/Kopiereg voorbehou

i; DEPARTMENT OF BAS |
at ;

PRIVATE BAG K805, PRETORIA B0ot |

|
ae ont? te 15
(Ae
ip

Please turn over/Biaai om asseblief

### Page 16

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 16

DBE/November 2017

CAPS/KABV ~ Grade/Graad 11 — Marking guidelines/Nasienriglyne

PUBLIC EXAMINATION

| APPROVED MARKING GUIDELINE

QUESTION/VRAAG 10 a
a 33
. qii¢
xs Oee
J / Hus
a S2ig9 &
/ ud &
af ,, gaya
| gq 3
8 | a ay
N\ Il “sy
2 NPS,
R
10.1 a, = R, [ tangents from common point/ rk ine van selfde punt YS YR
Q, +R, +70° =180° [sum ZA] vs
2R, =110°
R, =55° VR, = 55°
— (4)
10.2 0, +0, =90°  [tan/rkl L rad] YR
Saco Y O,=35°
Q, =35 Q)
OR/OF
non YR
R, +R, =90° [tan/rAl L rad] Y 0, = 35°
R, =35° (2)
O, = R, =35° [OR = 00]
10.3 M, +R, +Q, =180° [sum Z A] — |vs
M, =180° —70° =110 ¥ M, =110°
ML, =110° equal chords subtend = 7 at the centre/ Y S/R
a gelyke koorde onrsp. = Z by mdpt (3)
19]

&

Copyright reserved/Kopiereg voorbehou

Please turn over/Blaai om asseblief

### Page 17

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 17 DBE/November 2017
CAPS/KABV ~— Grade/Graad 11 — Marking guidelines/Nasienriglyne

QUESTION/VRAAG 11 a,
‘ig | 5 wu!
i2 is wy

qj
Qik 3
coe z 2
Cc ant 3. $§
, vila & p
PRS de =
pa ig a
i) \* bea
D —_ ei
A
E
111 B, = B, = x [BD bisect/halveer Z ABC] vs
ABC = 2x
0, =2x [Zat centre = 2 times < at circumference/] YS VR
[ midpts.Z = 2 x omtreks Z|
BCI] OD [corresponding are equal/ooreenk. “is gelyk] |“ R
(4)
OR/OF
a . OR/OF
B,=B,=x — [BD bisect/halveer Z ABC] vs
a : YS VR
D,=x [angle opp = sides/Ze to gelyke sye]
B, =B,=x
-. BC||OD [alternate angles are equal/verw .é gelyk] VR
(4)
OR/OF
. . OR/OF
B, = B, =x [BD bisect/halveer 2 ABC] YS
ABC = 2x
O, =2x [angle at centre = 2 times angle at circumference | YS YR
[ midptsZ = 2 x omtreks Z|
O, =180° — 2x [Zona straight line/op reguit lyn]
0, + ABC =180° ~ 2x +2x =180°
--BC||OD  [co-int angles are suppl/ko-binne Zis suppl] YR
4)

Gr

Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

### Page 18

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 18 DBE/November 2017
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne

11.2 ODC =90° [tan/rkl 1 rad] v SIR
C=90° [co-int/ko-binne Z's OD|BC] VS VR
@)
OR/OF OR/OF
B,=x
BH, =90° —x ftan/rkl Lrad ] SIR
C= 180° ~(90° -x )~x [int Z's of /van A] VS YR
=90° (3)
OR/OF
EDO =90° [tan/rkl 1 rad ] Y SIR
C=90° [corresp. / ooreenk.Z's OD|BC} YS YR (3)
[7]

——e

| DEPARTMENT OF BASI
BAS

{_ Epucerion i |

| PRIVATE BAG xe: 896, PRETORIA 0001 “{
2017-1 15

I _APPROVED ED MARKING GUIDELINE |
iF PUBLIC Exa EXAMINATION “|

Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

### Page 19

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 . 19 DBE/November 2017
CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne

QUESTION/VRAAG 12

12.1 B= Aj=x — [tan—ch th/ rkt-kdst vSvR
A A Y¥SVYR
C, =A;=x  [alt/verw.Z° AD || BC ]
E=x — [2° in thesamesegment/dieselfile segment] ¥ oe R
P, = PB, =x [vert opp/ reg oorst] (7)
122 | § B+, [exZofA
7 +C, [ext Zof A] VVS VR
=x+y
(4)
OR/OF
DCB=x+ y VSVR
D,=DCB=x+y [corresp/ooreenk. Z= ,AD | BC ]
a s: . YSVYR
-. EPA=x+y lz in thesamesegment/dieselfde segment]
(4)

DEFER MEAT OF SAS
| Brcariton

RiVATE BAG X806, PRETORIA 0001
2017 -tl- 15

APPROVED MARKING GUIDELINE |
or PUBLIC EMAMINATION |

or
|

Copyright reserved/Kopiereg voorbehou

### Page 20

Downloaded from hlayiso.com

Mathematics P2/Wiskunde V2 20 DBE/November 2017

CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne

12.3

B, =y [tanfromacommompoint/ rklyne v dieselfde pi
DPT =P.+ P, +P,
=x+y+(x+y)
=2x+2y
C=xty
DPT +C=180° [opp Z* of a cyclic quad/teenoorst. Z° van kv
2x+2y+x+ p=180°
3x+3y=180°
“x+ y=60 [ext Z of cyclic quad DCTP]

OR /OF
B=, +C,=x+y [ext Z of cyclicquad DCTP]
PD +P,+P, +2 =180° [Z'sonastraightline]
Xt ytxt+ytx+y=180°
3x+3y=180°
3(x+ y)=180°
x+y=60°

v S/R

VC=xty

y S/R

¥ Answ/antw
(4)
VYSVYR

YS/R

¥ Answ/antw

(4)
(15)

Copyright reserved/Kopiereg voorbehou

TOTAL/TOTAAL: 150

DEPARTMENT OF
_EDce,

207-1 15
|_AFPROVED MARKING GUIDELINE

|

{ PUBL. its

BASES |

Be BMAD oT |

Please turn over/Blaai om asseblief

## Related documents

- [NSC GR11 MATHEMATICS P2 NOV2017 ENG AFR SPECIAL ANSWER BOOK](https://www.hlayiso.com/library/nsc-gr11-mathematics-p2-nov2017-eng-afr-special-answer-book/19d3f563-e350-4ddb-84f2-78b703bca8e1) — Mathematics · Addendum · 2017 · Eng
- [Final Marking Guideline Grade 11 Mathematics P1 2017 Common Examination](https://www.hlayiso.com/library/final-marking-guideline-grade-11-mathematics-p1-2017-common-examination/67badd2d-178b-4a32-8ead-5f13604b50a3) — Mathematics · Memo · 2017
- [Mathematics P2 Grade 11 Nov 2018 Memo Eng & Afr](https://www.hlayiso.com/library/mathematics-p2-grade-11-nov-2018-memo-eng-afr/4d7f6a06-1eeb-42fb-b327-4043ad501b2f) — Mathematics · Memo · 2018 · Eng
- [Tolerance Range Grade 10 Mathematics P1 2017 Common Examination](https://www.hlayiso.com/library/tolerance-range-grade-10-mathematics-p1-2017-common-examination/6e5ac99a-bf45-4c6d-a856-196d8ed2b145) — Mathematics · QP · 2017
- [NSC GR11 MATHEMATICS P1 NOV2017 FINALS ENGLISH](https://www.hlayiso.com/library/nsc-gr11-mathematics-p1-nov2017-finals-english/5217c2ac-77ab-4fc6-9a09-92c2a6507c69) — Mathematics · QP · 2017 · Eng
- [Gr11 Math P2 June 2017 Question Paper](https://www.hlayiso.com/library/gr11-math-p2-june-2017-question-paper/64687c17-ca24-4dad-9367-5ed08ba6ca70) — Mathematics · QP · 2017

## More from Grade 11 Mathematics

- [FS Maths Grade 11 June 2025 P1 only](https://www.hlayiso.com/library/fs-maths-grade-11-june-2025-p1-only/82015d8f-bcc0-478e-ad47-d3b295dabb01) — QP · 2025
- [FS Maths Grade 11 June 2025 P2 only](https://www.hlayiso.com/library/fs-maths-grade-11-june-2025-p2-only/5d0e7dd8-cb37-419c-8fe2-0aee27fbdc84) — QP · 2025
- [KZN Maths Grade 11 November 2025 P2 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-11-november-2025-p2-and-memo/a2aac931-a969-41c8-bde2-85d23035d042) — QP + Memo · 2025
- [MATHS P2 ANSWER BOOK GR11 2024 ENG AFR D watermark](https://www.hlayiso.com/library/maths-p2-answer-book-gr11-2024-eng-afr-d-watermark/91fd4f6b-a252-4d30-b6b1-f8f546015336) — Addendum · 2024 · Afr
- [MATHS P1 QP GR11 NOV2024 ENG D watermark](https://www.hlayiso.com/library/maths-p1-qp-gr11-nov2024-eng-d-watermark/739068f1-b085-4977-8a45-18f9bb927644) — QP · 2024 · Eng
- [Gr 11 Mathematics P1 (Afrikaans) June 2024 Question Paper](https://www.hlayiso.com/library/gr-11-mathematics-p1-afrikaans-june-2024-question-paper/1a0f4a9d-f18a-4aca-af77-5a81acfb8e0c) — QP · 2024 · Afr

## Collection

- [Grade 11 past papers](https://www.hlayiso.com/grade-11/past-papers)

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.