5 marks scheme for add maths paper 1 trial spm

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MARKS SCHEME FOR ADD MATHS PAPER 1 TRIAL SPM (SBP) 2010 No. Penyelesaian Sub- markah Markah penuh 1 (a) 3 1 2 (b) -1 1 2 (a) 1 6 3 2 + x x 2 ) 1 ( 3 2 x 2 B1 4 (b) 3 4 , 1 x x x = + + 3 1 6 3 2 2 B1 3 (a) 33 1 4 (b) 2 , 0 x x x = + 5 2 2 2 B1 4 8 , 8 > < p p 0 ) 16 )( 1 ( 4 ) ( 2 < p 0 16 2 = + + px x 3 B2 B1 3 5 (a) 2 1 1 2 (b) 2 1 = x 1 6 4 1 , 8 = = h and k 2 8 = = hk or k 8 ) 2 ( 2 2 + x 3 B2 B1 3

Transcript of 5 marks scheme for add maths paper 1 trial spm

Page 1: 5 marks scheme for add maths paper 1 trial spm

MARKS SCHEME FOR ADD MATHS PAPER 1 TRIAL SPM (SBP) 2010

No. Penyelesaian Sub-markah

Markah penuh

1 (a) 3 1 2

(b) -1 1

2 (a)

163 2 +− xx

2)1(3 2 −−x

2 B1

4

(b) 3

4,1

xxx =++− 3163 2

2 B1

3 (a)

33

1

4

(b)

2,0 −

xxx =+ 52 2

2 B1

4

8,8 >−< pp

0)16)(1(4)( 2 <−p

0162 =++ pxx

3 B2 B1

3

5 (a)

21

1

2

(b)

21

=x

1

6 41,8 −=−= handk

28 =−= hkork

8)2(2 2 −+x

3 B2 B1

3

Page 2: 5 marks scheme for add maths paper 1 trial spm

OR

418 −=−= handk

08284 22 =−= khorhk

kkhhkxx +++ 222 242

3 B2 B1

7

4195.0

2.342 =x

414142 =

+x

3 B2 B1

3

8

pr 826 −+

mmm

m m

m

m

m

m

mlog

3log4loglog

log5log3

−+

21log

81log125log81logloglog125log

)(log

3log4

loglog

log5log3

=

+−+

m

orormorm

orbaseanym

orm

morm

m

3 B2 B1

3

9 (a)

12=h

)1(4)62(1 +−−=−−+ hhhh

2 B1

3

(b) -5 1

10

5.85

5.2=r

375.96.0 3 =r

3 B2 B1

3

Page 3: 5 marks scheme for add maths paper 1 trial spm

11 (a)

0.75 or 43

25681

6427

169

321 === TorTorT or any relevant

terms

2 B1

4

(b)

2.25

431

169

2 B1

12 (a)

2.44

5.555.302 =+x or 5.12=radius

2 B1

4

(b)

190.625

)44.2()5.12(21 2

2 B1

13 (a)

25

−=m

)6()125(~~~~jimji +=− λ

2 B1

3

(b)

13

125~~ji−

Magnitude = 13

2 B1

14 (a)

~~126 ab+−

→→+ PQSP

2 B1

4

(b)

~~28 ba+

+−=

~~612

31 baQS

2 B1

Page 4: 5 marks scheme for add maths paper 1 trial spm

15

m = -6 and n = 6 m = -6 or n = 6

66

610

161202

mand

n

+×=

=−−

66

610

161202

mor

n

+×=

=−−

4 B3 B2 B1

4

16 (a)

5)7(3)1(2

5)(3)4(28

523,

332

+=

+=

==

t

andr

tr

5)7(3)1(2

5)(3)4(28

+=

+=

t

orr

3 B2 B1

3

17

0coscossin230)2sin3(cos2

9081.4119.138

270,90,81.41

0

0

0

000

=−×=−

xxxxx

and

and

4 B3 B2 B1

4

Page 5: 5 marks scheme for add maths paper 1 trial spm

18

22

22

)3(6)35)(3(6

+

++

xxxx

2 B1

2

19

3)1(41

−=+−=

hh

2 B1

2

20

mmx

mmm

m

3)5(22

31022

2532

5

1

2

−=−

−=−−

=

3 B2 B1

3

21

5426

5.3753.41

====

FGLK

1 1 1 1

4

22 (a) 792 1

3 (b)

131 264160

CCC ××

2 B1

23 (a) 720 1

3 (b)

260 6! × 13P

2 B1

24 (a)

555 )85.0()15.0(10

008491.0××C

2 B1

4

(b)

0.8202 P(X=0)+P(X=1)+P(X=2)

2 B1

Page 6: 5 marks scheme for add maths paper 1 trial spm

25 (a) 0.0571

1

3

(b)

81.84

58.12

85=

− µ

2 B1

TOTAL MARKS/JUMLAH MARKAH 80

END OF MARKS SCHEME