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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