percubaan pmr 201i matematik kertas 2 ... d straight line - locus x ii) arc - locus y ... wpkl...

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SULIT50/1MatematikKertas IOgos 2011

l% jam

50/1

JABATAN PELAJARAN NEGERIWILAYAH PERSEKUTUAN

PEPERIKSAAN PERCUBAAN PMR20ll

MATEMATIK

Kertas I

SKEMAPEMARKAHAN

50/1 2ilr@ Hakcipta JpN rrp [Lihat Sebelah


SKEMAPEPERIKSAAN PERCUBAAN PMR 2011

MATEMATIKKERTAS 1

No soalan Jawapan No soalan Jawanan No soalan Jawaoan No soalan JawananI D l t C 21. C 3 1 . B2. C t2. C 22. D 32. D3 . c 1 3 . A 23. B 33. C4. D 14. D 24. D 34. D5. c 1 5 . B 25. B 35. D6. C 16 . B 26. A 36. B7. B t7. B 27 A 37. A8. A 1 8 . A 28. C 38. A9. c 19. A 29.30.

D 39. C10. A 20. B D 40. B

Jawapan Jumlah SoalanA 9B l 0C l lD l 0

Jumlah 40


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50t2SULIT50t2MatematikKertas 2Ogos 2011

I jam 45 min

JABATANI PELAJARAN NEGERIWILAYAH PERSEKUTUANI

PEPERIKSAAN PERCUBAAN PMR20tl

MATEMATIK

Kertas 2

SKEMAPEMARKAHAN

20ll@ Hak Cipta JPN l{P [Lihat Sebelah


Skema Percubaan PMR 201I Matematik Kertas 2

Percubaan PMR Tahun 20IlSkema Permarkahan Matematik

Kertas 2

l9 - ( -1 .6) or 19+1.620.6

?(a)

;

(b) (r + r)2 or 62

36

(a) le

(b) 3p-p=4+6 or p -3p = -6 - 4

( p = ) 5

I

I

I



No Solutions and Marking Scheme Sub Marks Totalmarks6 Enlargement

Scale factor 2

Centre of enlargem ent (-2, 2)

Note: All three descriptions - 2 marksAny2descriptions - I markOnly I desqiption- 0 mark

2 2

7(a)

(b)

9x(3 - y)

52 x2 -9'y' or (sx)' -(gy)'

(5x-9y)(Sx +9y)

Note: Direct answer - 2 marks

I

I

I J

8(a)

(r)

3x -21

m2 +\mn+16n2

n2 + 16r?

I

I

I 3

92m-3(n-r)

or 2m j(m-t)

6m 6m 6m

2 m - 3 m + 36m

3 - n6m

- m + 3

6m

I

I

I 3l0

(a)

(b)

h < 6

-2k< -20 or 20 <2k

& > l 0

I

I

I 3

l l2- 4p =s(p + q)

2 -3q = 3p + 4por - 4p -3p =3q -2

2 -3sp = T

I

I

I3

2



No Solutions and Markine Scheme Sub Marks Total markst2

January Februarv March April

140 40 20 100

(a)

(b) 60

2

I 3

l 3 Profi((RM)

a t *

ffiffi,

t r -

* *

,a *,

, r -

2005 2m6 2(ffi

Correct label and scale on y-axis.

All 5 points plots conectlyNote:4 points correctly plotted give I markLine graph drawn conectly

2ffie nTr'

I

2

I

4

l 4

W ,, h-Bst2-2kt-4

gl0

hsk3

I

I 2

l 5 1162

4

l 6

or (-+)'I

I

3


Skema Percubaan PMR 2011 Matematik Kertas 2

No Solutions and Marking Scheme Sub Marks Total marksI4 I J

l 6

S c a l e = 8 = 42

t , 14

I

I 2

t 7 a) BDNote:If line BD is drawn on the diagram, give Imark.

D Straight line - locus Xii) Arc - locus Y

Point of intersection

b)

c)

D

\

\

A B

2

II

I

)

l 8 Uniform scale iny-axis, in the range 0 < y < 30

All seven points correctly plotted

Note:

i) Allow two marks if the points are not marked butthe curve passes through all 7 points

ii) Five or six points correctly plotted, give I mark.

Smooth curve passes through all seven points

(within half a small square)

I

2

I 4

4



Graph for Question 18Graf untuk soalan 18


Skema Percubilan PMR 201I Matematik Kertas 2

/.)(YZ:53" (* l.)

Construction of equal arcs on FE and FG andthe intersection of subsequent arcs

Line FH

ArcEH=4cm

Complete diagram of quadrilateral EFGH

pp=1ffi=15(or 15 seen in diagram)

P T ( = 1 5 - 3 ; = 1 2

6


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