SEPTEMBER 2018 - Examinations

NATIONAL SENIOR CERTIFICATE

NASIONALE SENIOR SERTIFIKAAT

GRADE/GRAAD 12

SEPTEMBER 2018

MATHEMATICS P2/WISKUNDE V2 MARKING GUIDELINE/NASIENRIGLYN

MARKS/PUNTE: 150

This marking guideline consists of 15 pages. Hierdie nasien riglyn bestaan uit 15 bladsye.

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MATHEMATICS P2/WISKUNDE V2

QUESTION 1/VRAAG 1

(EC/SEPTEMBER 2018)

GRADE/GRAAD 12

100 90 80 70 60 50 40 30 20 10

0 0

10 20 30 40 50 60 70 80 90 100 GRADE/GRAAD 9

1.1 a 6 ,54

b 1,05 y^ 1,05 x 6 ,54

1.2 y 6 ,54 1,05 ( 41 )

36 ,51 37

1.3 On the scatter plot / Op spreidiagram

1.4 r 0 ,88 1.5 Yes. The strong positive correlation

Ja. Die sterk positiewe korrelasie

value of a / waarde van a

value of b / waarde van b

equation / vergelyking (3)

substitution / vervanging

answer / antwoord

(2)

x-intercept / x-afsnit

6 x 8 and / en

(45;41) both correct / beide korrek

OR/OF

(69,87;66,73) and/en (45;41) both

correct / beide korrek

(2)

answer / antwoord

(2)

Yes / Ja

strong positive / sterk positief

(2)

[11]

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(EC/SEPTEMBER 2018)

MATHEMATICS P2/WISKUNDE V2

QUESTION 2/VRAAG 2

2.1 R a n g e /O m v a n g 2 9 1 0

19

2.2

15 23 17 24 26 18 28 13 10 28 29

x

11

231

11

21

Answer ONLY full marks Slegs antwoord - volpunte

answer / antwoord answer / antwoord

2.3 6 ,37

2.4 2 1 6 , 3 7 ; 2 1 6 , 3 7 1 4 , 6 3 ; 2 7 , 3 7

5 w eeks/w eke

min max/maks answer / antwoord 231

answer / antwoord

QUESTION 3 / VRAAG 3

y A(p ; 3)

C t ; 5

3

(1)

(2) (3) (2) [8]

O E

x

B 3 ; 3

3.1

2

2

2

89 3 t 3 5

substitution / vervaning

89 9 6t t2 64

simplification / vereenvoudiging

t2 6t 16 0

standard form / standaardvorm

t 2t 8 0

factors / faktore

t 2 or / of t 8

value of t / waarde van t

(5)

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MATHEMATICS P2/WISKUNDE V2

(EC/SEPTEMBER 2018)

3.2 m 3 AB 33 3 p3 3p 9 6 p 5

3.3 3 x 12 0

x 4

E (4 ;0)

3.4

5 2 35

M

;

2

2

3 ;4

2

3.5

04

m

EM

3

4

2

8

5

53 m

BC

23

8

5

EM BC [ = gradients/gradi?nte]

3.6 tan 3

108 ,4349488 0

8 tan

5

57 ,99461679 0

A B^ C 50 , 44 0

m AB

m in terms of p / in terme van p AB

equating / gelykstelling

value of p / waarde van p (4)

y = 0 x = 4

(2)

x ? coordinate/ko?rdinaat y ? coordinate/ko?rdinaat

(2) correct substitution / korrekte vervanging

m EM

m BC

= gradients / = gradi?nte

(4)

size of / grootte van

size of / grootte van

size of A B^ C / grootte van A B^ C

(4)

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(EC/SEPTEMBER 2018)

MATHEMATICS P2/WISKUNDE V2

5

QUESTION 4 / VRAAG 4

4.1 PR 0 8 2 3 9 2

10

correct substitution / korrekte vervanging

4.2

08 39

M

;

2

2

4;6

4.3

3 6

m PQ

09

answer / antwoord

(2)

x-coordinate/ko?rdinaat y-coordinate/ko?rdinaat

(2) correct substitution

korrekte vervanging

1

3

m PQ

6 9 m

QR

98

3

m

QR

P Q^ R 9 0 0 [ m m

1 3 1]

PQ

QR

3

1

m PQ m QR 2

2

(4)

4.4 x 4 2 y 6 2 25

r 2 25

equation / vergelyking

(2)

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