Percubaan Pmr 09 Sabah Marking Scheme Mtk Paper 2

Marking Scheme EXCEL 2 MATHEMATICS 50/2 No 1.

2.

Solution and Marking Scheme

Sub Mark K1

Full Mark

3 8

N1

2

0.9

K1

3.2

N1

1 5

N1

4 9 or 9 24

2

3. (a)

–

(b)

3 3 12 × 4 or or 8 2 8 9 or 2.25 4

4. (a)

–5

(b)

3x + x = 1 + 9 or 4x = 10

K1 N1

3

N1

x=

5 or 2.5 2

50/2 © 2009 Copy right Sabah State Education Department

K1 N1

3

No

Solution and Marking Scheme

Sub Mark

Full Mark

Correct and complete drawing.

N2

2

Note: 1. Award N1 for correct image drawn using dotted line. 1 2. Allow gaps or extension line ≤ of the square grid. 4 Translation / Translasi

P1

5.

Q

A

P

6.

 −9     3

P1

3(4x2−9)

K1

3(2x + 3)(2x−3)

N1

2

7. 2

Note : Direct correct answer award K1N1 8. (a)

3kf – 9k

(b)

k2 + 6k + 9

N1 or

− 6k + 2

k2 + 11

50/2 © 2009 Copy right Sabah State Education Department

K1 N1

3

No 9.

Solution and Marking Scheme 4 p(1) p + 3 − 12 p 2 12 p 2 4p − p−3 12 p 2

or

or

12 p 2 (1) 3 p ( p + 3) − 36 p 3 36 p 2 12 p 2 − 3 p 2 − 9 p 36 p 3

p −1 4 p2 10.

Sub Mark

Full Mark

K1 K1

N1

k < 2 or 2 > k

K1

k≥ –2

K1

–2, –1,0,1

N1

3

3

Note : For – 2 ≤ k < 2 without answer K1K1N0 11.

4 BD = 5 20

N1

3 1  2 2

P1

3

14.

K1

BC = 5

y = 11 12.

13.

or

9

N1

mn 2

K1

mn5

N1

p tq p   t  q

or 2

or

p

P1

p  t 2  2tq  q 2

N1

tq 

50/2 © 2009 Copy right Sabah State Education Department

2

2

3

2

No 15. (a)

Solution and Marking Scheme Two parallel lines from KN, 2 units.

Sub Mark

Full Mark

P2

Note: Parallel or correct locus drawn award P1. (b) (i)

Locus of X drawn correctly.

K1

(ii)

Locus of Y drawn correctly.

K1

(c)

The intersection of locus X and locus Y marked correctly.

N1 5

Note: Deduct 1 mark if using dotted lines or by sketching. 16.

N3

3

Note: 1. Any 2 surfaces drawn correctly award K1. 2. Another 2 surfaces drawn correctly award K1. 17. (a) (b)

22

P1

Each bar drawn correctly: Bar K Bar M

P1 P1

50/2 © 2009 Copy right Sabah State Education Department

3

No

Solution and Marking Scheme

18. (a)

Construct 60° at point P correctly.

K1

Draw line PS (Arc at PS).

K1

Intersection of two arcs to get point R.

K1

Draw PQRS.

K1

Construct perpendicular to line PQ from S.

K1

5.0 ± 0.1 cm.

N1

(b)

Sub Mark

Full Mark

6

19.

Wira

Waja

100° 50°

Perdana

120°

Iswara

1. Perdana = 50°

N1

2. Iswara = 120°

N1

3. Any one sector drawn correctly.

K1

4. Another one sector drawn.

K1

5. Pie chart drawn and labelled completely.

N1

20. (a)

Uniform scale on y-axis in the range − 12 ≤ Y ≤ 16 .

K1

(b)

All 8 points correctly plotted.

K2

(c)

Smooth curve passes through all the 8 points.

N1

Note: 6 or 7 points correctly or passes through 6 or 7 points, award K1.

50/2 © 2009 Copy right Sabah State Education Department

5

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